Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Piecewise Functions
• 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 Connect™

• ##### Accessories

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

• ##### Other Materials
This is Activity 21 from the EXPLORATIONS Book:

## Stepping to the Greatest Integer: The Greatest Integer Function

#### Activity Overview

In this activity, students' will use a motion detector to collect position data showing evenly-spaced jumps in value. They will then model this data using the greatest integer function.

#### Before the Activity

• Connect the motion detector to the DIG/SONIC port of the CBL 2™ or the 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 209 - 215 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Line up six students, uniformly-spaced, in front of the motion detector
• Once the detector is activated make the students step aside in evenly spaced time intervals
• Examine the distance versus time graph displayed on the calculator
• Model the function with an equation
• Compare the graph with graph of the greatest integer function
• Estimate the magnitude of the vertical spacing between steps and the typical length in time of the steps
• #### After the Activity

Students will fill in the Data Collection and Analysis Sheet and answer question listed in it.

Review student results

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary