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A 20 MINUTE RIDE

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A 20 MINUTE RIDE

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    1. 1 A 20 MINUTE RIDE By Jamie Bateman 11

    2. 2 YOU WILL LEARN HOW TO FIND: Average Rate of Change Instantaneous Rate of Change 22

    3. 3 A Twenty Minute Ride As a passenger in a car and armed with my trusty timepiece, I took a 20 minute ride in my car. At the end of each minute, I recorded the cumulative distance traveled. I observed all traffic laws (of course). 33

    4. 4 Data Collected From My Ride Time 0 1 2 3 4 5 6 Distance 0 .3 .8 1.2 1.3 1.6 2.5 Time 7 8 9 10 11 12 13 Distance 3.7 4.8 6 7.2 8.3 8.5 8.6 Time 14 15 16 17 18 19 20 Distance 9 9.5 9.7 10.2 10.7 11.2 11.9 44

    5. 5 Let’s make a connected scatter plot of my results on the following grid. (Students will use the grid provided.) 2. Let t (time ) be the horizontal axis and s (distance) be the vertical axis. Let each horizontal unit represent 1 minute and each vertical unit represent 1 mile. 55

    6. 6 Scatter Plot 6 Students will draw a scatter plot with the given data.6 Students will draw a scatter plot with the given data.

    7. 7 Scatter Plot 77

    8. 8 FOLLOW-UP FOR THE TWENTY MINUTE RIDE Fill in the following table using the values obtained and the graph of your data. 88

    9. 9 Average Velocity = distance traveled ÷ by the elapsed time. Let ?s represent the change in distance traveled. Let ?t represent the change in elapsed time. Calculate the velocity or speed of the car for the given interval. 99

    10. 10 1010

    11. 11 1111

    12. 12 How To Calculate Instantaneous Rate of Change When only data is given: Use the difference quotient 1212

    13. 13 As A Matter of Fact… You may use either of these also! 1313

    14. 14 Describe the Drive What is happening? When am I traveling the fastest? 3. When am I traveling the slowest? 14 Take a look at the scatter plot to answer these questions.14 Take a look at the scatter plot to answer these questions.

    15. 15 What is happening? 1515

    16. 16 When am I traveling the fastest? 1616

    17. 17 When am I traveling the slowest? 1717

    18. 18 SPECIAL THANKS TO: Microsoft Clips Online Mr. Larry Peterson

    19. 19 Name at least two things you have learned as a result of this exercise. 1818

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