# Activities

• • • ##### Subject Area

• Math: Algebra I: Exponential Functions

• ##### Author 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 12 from the EXPLORATIONS Book:
Modeling Motion: High School Math Activities With The CBR

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

## Sequence of Bounces

#### Activity Overview

In this activity, students will explore the rebound heights of a ball and develop a sequence that will predict the rebound height of subsequent bounces. They will also find the total distance that the ball travels.

#### 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 61 - 66 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 plot of the Distance versus Time data
• Record the height for 5 bounces and use lists to create a scatter plot
• Model the heights of each bounce in terms of a geometric sequence, and graph the resulting equation
• Write an exponential function that fits the given data, and graph it
• Calculate the sum of the total distance traveled by the ball for the first five bounces
• #### 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