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ICTCM 2013 - Boston Interactive Figures, Clickers and Peer Instruction, Oh My! Rob “the great and powerful” Eby Blinn College Bryan Campus (Next to Texas A&M)

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Question 1, 2, 3IFig3_01 Are there other integer points on the grid that are also on the line? A.None of the other choices are correct. B.Yes many of them. C.Only one other. D.None other. E.It is impossible to determine

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Question 4IFig3_01 What happens if I “switch the points” to the other corners of the rectangle? A.None of the other choices are correct. B.They will be parallel C.The slopes will be negative reciprocals D.The slopes will be reciprocals E.It is impossible to determine

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Question 5IFig3_01 What happens NOW if I “switch the points” to the other corners of the rectangle? A.None of the other choices are correct. B.The lines will be parallel C.The slopes will be negative reciprocals D.The slopes will be reciprocals E.It is impossible to determine

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Question 6IFig3_04 What will happen AT FIRST to the intersection point as I increase the value of a1? A.None of the other choices are correct. B.Nothing, it will not move. C.It will move up or to the right. D.It will move down or to the left. E.It is impossible to determine

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Question 7IFig3_04 What will happen NOW to the intersection point as I increase the value of a1? A.None of the other choices are correct. B.Nothing, it will not move. C.It will move up or to the right. D.It will move down or to the left. E.It is impossible to determine

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Question 8IFig3_04 What was special when I paused, and why does that matter? A.None of the other choices are correct. B.Nothing was special. C.The lines were perpendicular and therefore had no intersection. D.The lines were parallel and therefore had no intersection. E.It was impossible to determine if the lines were parallel or just intersected off screen.

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Question 9Polynomial and Derivative Identify the function and its derivative A.None of the other choices are correct. B.The blue is the function, the red is the derivative. C.The red is the function, the blue is the derivative. D.The two graphs are not related to each other. E.It is impossible to determine.

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Question 10Polynomial and Derivative NOW identify the function and its derivative A.None of the other choices are correct. B.The blue is the function, the red is the derivative. C.The red is the function, the blue is the derivative. D.The two graphs are not related to each other. E.It is impossible to determine.

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Question 11Polynomial and Derivative Why was the last one (Q 10) so much easier than the one before it (Q 9)? A.The “humps” were obvious. B.Both were equally hard for me. C.I just guessed on each one. D.It is hard to remember the what the function is doing determines WHERE the derivative is. E.I keep thinking about what the derivative is doing.

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Question 12Polynomial and Derivative Why does the “more humps is the function” rule work? A.It is one of those facts about graphs and derivatives B.It only works if the function is a polynomial. C.It only works if you can see ALL of the humps. D.It does NOT always work, I just got lucky E.It is a trick I learned instead of understanding.

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Question 13FTC The first part of the blue graph is decreasing. What will happen to the other graph. A.None of the other choices are correct. B.It will increase but its starting value cannot be determined. C.It is impossible to determine. D.It will increase but start at a negative value. E.It will decrease but start at a negative value.

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Question 14 FTC Where will the bottom graph reach its highest value? A.None of the other choices are correct. B.When the top graph bottoms out. C.It is impossible to determine. D.At the end. E.It reaches its highest value at several places.

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Question 15 FTC Why is the bottom graph now at zero? A.None of the other choices are correct. B.That will always happen when the top graph is at a minimum. C.It will always happen when we are halfway across a hill. D.It was just a coincidence. E.It is impossible to know for sure.

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Rob Eby jeby @ blinn The first two are from Lial, Greenwell and Ritchie Applied Calculus and Finite Math Two are from the Wolfram Demonstrations Project http://demonstrations.wolfram.com/index.html Copies of the questions, along with a list of which figures these are and some other figures and questions are at: http://tinyurl.com/ch7v5vw

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Perpendicular Lines. ┴ Perpendicular lines are lines that intersect in a right angle. ┴ The slopes of perpendicular lines are negative reciprocals of.

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