Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Piecewise Functions

9-12

60 Minutes

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

TI Connect™

• ##### Accessories

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

• ##### Other Materials
This is Activity 6 from the EXPLORATIONS Book: Real-World Math Made Easy.

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

## Graph It in Pieces: Piecewise-defined Functions

#### Activity Overview

In this activity, students' will record motion data for a walker and describe segments of the walker's motion using linear function. They will model the motion data using a piece-wise continuous function assembled from linear functions.

#### Before the Activity

• Connect the motion detector to DIG/SONIC port of the CBL 2™ or 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 49 - 56 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Set up the motion detector on a table, at a height of about 1.2 m from the ground
• Stand still for 4 seconds, walk away at a constant rate, turn and walk toward the motion detector and collect data
• Examine the graph of distance versus time
• Calculate the slope and write a linear equation for each section of the graph
• Assemble the functions into one expression
• #### After the Activity

Students' will examine the data and fill in the Data Collection and Analysis Sheet. They will also 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