Education Technology

Swinging Along

Subject Area
Math: Precalculus: Trigonometry (Triangle and Circular Functions)
Level
9-12
Activity Time
60 Minutes
Software
TI Connect™
TI Calculator
TI-83 Plus Family
TI-84 Plus
TI-84 Plus Silver Edition
Accessories
CBR 2™ motion sensor
Other Materials
    This is Activity 14 from the EXPLORATIONS Book:
    Modeling Motion: High School Math Activities With The CBR

    The following materials are required for this activity:
  • Pendulum (or a yo-yo)
  • Meter stick
  • Masking tape
  • Stopwatch
Resource Types
Lessons

Swinging Along

Activity Overview

Students model the data from the motion of a pendulum by a periodic function. They relate its parameters to the time for one period, the distance it is pulled back, and its distance from the motion detector.

Before the Activity

  • Connect the calculator to the CBR 2™
  • Install the TI Connect™ software to analyze data on the computer
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 73 - 76 from the attached PDF file for your class
  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:

  • Run the Ranger program
  • Mark the at-rest position of the pendulum with masking tape
  • Pull the pendulum toward the CBR, release it, and begin collecting data
  • Study the graph of distance versus time
  • Measure and record the distance in meters from the CBR to the pendulum?s rest position
  • Measure and record the distance in meters from the pendulum?s rest position to the point it was pulled back
  • Find the average time for one cycle
  • Calculate the amplitude, vertical shift, and the period
  • After the Activity

    Students will complete the data sheet and answer questions listed on pages 75 ? 76.

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary
  • Subject Area
    Math: Precalculus: Trigonometry (Triangle and Circular Functions)
    Level
    9-12
    Activity Time
    60 Minutes
    Software
    TI Connect™
    TI Calculator
    TI-83 Plus Family
    TI-84 Plus
    TI-84 Plus Silver Edition
    Accessories
    CBR 2™ motion sensor
    Other Materials
      This is Activity 14 from the EXPLORATIONS Book:
      Modeling Motion: High School Math Activities With The CBR

      The following materials are required for this activity:
    • Pendulum (or a yo-yo)
    • Meter stick
    • Masking tape
    • Stopwatch
    Resource Types
    Lessons
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