Here’s a little matching quiz. In the function column there is a list of properties of functions and in the motion column are a list of terms describing the motion of a particle. The two lists are very similar. Match the terms in the function list with the corresponding terms in the Linear Motion list (some may be used more than once). The answers are below. For more on this idea see my previous post Motion Problems: Same Thing, Different Context.
Function Linear Motion 1. Value of a function at x A. acceleration 2. First derivative B. “at rest” 3. Second derivative C. farthest left 4. Function is increasing D. farthest right 5. Function is decreasing E. moving to the left or down 6. Absolute Maximum F. moving to the right or up 7. Absolute Minimum G. object changes direction 8. y ʹ = 0 H. position at time t 9. y ʹ changes sign I. speed 10. Increasing & concave up J. speed is decreasing 11. Increasing & concave down K. speed is increasing 12. Decreasing & concave up L. velocity 13. Decreasing & concave down 14. Absolute value of velocityAnswers: 1. H, 2. L, 3. A, 4. F, 5. E, 6. D, 7. C, 8. B, 9. G, 10. K, 11. J, 12. J, 13. K, 14. I
Teaching Calculus 
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I’m planning ahead for next year and just discovered this. Love it and will definitely use this next year. Thanks so much!
Grace Jang
Liberty Classical Academy
White Bear, MN
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Love this post. I will use this TODAY!
Thank you so much for your work.
Tammy T. Bobo, PhD
Mathematics Teacher
Pickens High School
150 Blue Flame Drive
Pickens, SC 29671
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