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 13 from the EXPLORATIONS Book:
Modeling Motion: High School Math Activities With The CBR

The following materials are required for this activity:
• Spring with hanging mass
• Support stand

## Good Vibrations

#### Activity Overview

In this activity, students will investigate the motion of a mass moving up and down on a spring. They collect data for the position, velocity, and acceleration of the mass's motion and examine the relationship between them.

#### 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 67 - 72 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Run the Ranger program on the calculator
• Attach the mass to the spring and place the CBR beneath it
• Pull the mass from its resting position so that it oscillates up and down, and begin data collection
• Observe the sinusoidal distance-time graph displayed on the calculator screen
• Subtract the equilibrium position from the distance list and plot a new distance-time graph
• Produce a model that best fits the data
• Record the Period of the motion and calculate the number of cycles that the mass moves
• Record the horizontal shift of the data and the final equation
• #### After the Activity

Students will complete the Data sheet and answer questions listed in it.

Review student results:

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