Sequence of Bounces

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Exponential Functions

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Accessories

CBR™ 2 motion sensor

Other Materials

A racquet ball

Resource Types

Lessons

Report an Issue

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.

Follow the Activity procedures:

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

Download Files

Download All Files (ZIP)

Before the Activity Files

Teacher Notes PDF Student Activity PDF

Author

Texas Instruments

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Math: Algebra I: Exponential Functions

Level

9-12

Activity Time

60 Minutes

Software

TI Connect™

TI Calculator

TI-84 series

Accessories

CBR™ 2 motion sensor

Other Materials

A racquet ball

Resource Types

Lessons

Report an Issue

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Sequence of Bounces

Sequence of Bounces

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