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Activities

Move My Way--A CBR Analysis of Rates of Change

Author
Texas Instruments
Alignment
Standards Alignment
Textbook Alignment
Subject Area
Math: Calculus: Other Functions
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
60 Minutes
TI Calculator
TI-84 series
Applications
Accessories
CBR™ 2 motion sensor
Other Materials
This is Activity 8 from the EXPLORATIONS Book:
Calculus Activities.
Resource Types
Lessons
Report an Issue

Move My Way--A CBR Analysis of Rates of Change

Activity Overview

In this activity, students' use the motion detector to collect position data and study the relationship between position and velocity. They explore the relationship between functions and their derivatives. Students' learn to connect mathematical relationships to real-world phenomena.

Before the Activity

  • Connect the CBR 2™ unit to the calculator
  • Start the Ranger program
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 77 - 82 from the attached PDF file for your class

    • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • Set up the CBR™ to collect position data every 15 seconds
  • Move back and forth in front of the CBR and collect distance versus time data
  • Identify regions on the graph where the velocity is positive, negative, and zero
  • Make a sketch of the predicted velocity versus time graph
  • Determine the instantaneous velocity
  • Use the stat plot for velocity as a function of time to sketch velocity versus time graph and compare it with the prediction
  • Sketch a velocity versus time graph for a given position versus time graph
  • Use the RANGER application to collect velocity data, and match the sketched graph with the actual graph of the data
  • Observe the derivative graph as the function graph changes

    • After the Activity

    Students' will collect data and analyze the results.

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary

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    Download Files
    Before the Activity Files
    Calculus_Acts_Act08.pdf Calculus_Acts_Appendix A.pdf Calculus_Acts_Appendix B.pdf
    Author
    Texas Instruments
    Alignment
    Standards Alignment
    Textbook Alignment
    Subject Area
    Math: Calculus: Other Functions
    Math: AP Calculus: AP Calculus
    Level
    9-12
    Activity Time
    60 Minutes
    TI Calculator
    TI-84 series
    Applications
    Accessories
    CBR™ 2 motion sensor
    Other Materials
    This is Activity 8 from the EXPLORATIONS Book:
    Calculus Activities.
    Resource Types
    Lessons
    Report an Issue
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