Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Quadratic 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 11 from the EXPLORATIONS Book:
Modeling Motion: High School Math Activities With The CBR

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

## Bounce Back

#### Activity Overview

In this activity, students will explore the rebound height of a ball and develop a function that will model the rebound heights for a particular bounce. The model can then be used to predict the height of the ball for any bounce.

#### 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 57 - 60 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Run the Ranger program on the calculator
• Release the ball beneath the CBR and sketch a Distance - Time plot
• Record the coordinates of the vertex and use lists to generate a scatter plot of the height data
• Write the equations of linear and exponential functions that best fit the data, and then graph them
• Using each model, predict the maximum possible rebound height of the ball
• #### 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