# Activities

• • • ##### Subject Area

• Math: Algebra I: Linear 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 5 from the EXPLORATIONS Book:
Modeling Motion: High School Math Activities With The CBR

The following materials are required for this activity:
• Meter stick

## How Far Did You Walk?

#### Activity Overview

In this activity, students will find the distance traveled when the velocity is constant by examining the area under the Velocity-Time graph and applying the formula d = r * t. They will also find the distance traveled for motion when the velocity is not constant by approximating the area under the Velocity-Time graph.

#### 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 10-13 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Run the Ranger program on the calculator
• Stand close to a wall (facing away from it) and point the CBR towards the wall
• Start walking away from the wall at a constant rate and begin data collection
• Study the velocity versus time graph
• Draw a line that best approximates the velocity of motion and record the value
• Determine the slope of the line and the acceleration
• Compare the area of the rectangles formed by the line that approximates velocity and a vertical line at each time
• Find the distance from the wall and the distance traveled
• #### After the Activity

Students will complete the Data Collection table 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