Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Trigonometry (Triangle and Circular Functions)

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

CBR™/CBR 2™
TI Connectivity Cable

• ##### 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
• Stopwatch

## 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.

• 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