Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Exponential Functions

9-12

60 Minutes

• ##### Device
• TI-73 Explorer™
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

CBL™/CBL 2™
Sensor - Motion Detector
TI Connectivity Cable
Vernier LabPro®

• ##### Other Materials
This is Activity 19 from the EXPLORATIONS Book:

The following materials are required for this activity :
• A bouncing ball

## Bounce Back: The Exponential Pattern of Rebound Heights

#### Activity Overview

In this activity, students' will use a motion detector to collect motion data for a bouncing ball. They will then analyze the data to test the exponential model of motion.

#### Before the Activity

• Connect the motion detector to the DIG/SONIC port of the CBL 2™ or the DIG/SONIC 1 port of the Vernier LabPro®
• Connect the CBL 2 or LabPro to the calculator using the Unit-to-Unit cable
• See the attached PDF file for detailed instructions for this activity
• Print pages 185 - 194 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Hold the motion detector 1.5 m above the floor, pointing downward
• Drop the ball beneath the motion detector, and begin data collection
• Examine the distance versus time graph on the calculator
• Trace across the graph and record the maximum height of each bounce
• Plot the rebound height versus the bounce number
• Write an optimized model equation and use the parameters to write the fitted linear equation
• #### After the Activity

Students' will analyze data, complete the Data Collection and Analysis Sheet and answer the questions listed in it.

Review student results

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