Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Linear 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 30 from the EXPLORATIONS Book:

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

## Meet You at the Intersection: Solving a System of Linear Equations

#### Activity Overview

In this activity, students' will collect and analyze motion data in order to determine the solution to a linear system of equations. They graph two motions on a common axis and find their intersection.

#### Before the Activity

• Connect the motion detectors to the DIG/SONIC port of each of the CBL 2™ or to the DIG/SONIC 1 and DIG/SONIC 2 ports of the Vernier LabPro®
• Connect the data collection devices to the calculators using the Unit-to-Unit cable
• See the attached PDF file for detailed instructions for this activity
• Print pages 301 - 309 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

• Set up the motion detectors on a table, about 2 meters apart and parallel to each other
• Simultaneously, make one person walk toward the first motion detector, and another person walk away from the second motion detector and begin data collection
• Record the position and time at which the two persons cross each other
• As data collection ends, transfer the data of the first calculator into the second one and observe the distance versus time graphs on the calculator
• Trace through the plot and record the slopes of the lines, and the coordinates of the point of intersection on the Data Sheet
• Write down a linear equation for each line and algebraically find the intersection of the two lines
• #### After the Activity

Students' will analyze their data and complete the Data Collection and Analysis Sheet. They also answer questions listed in it.

Review student results

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