Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Linear Functions

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE
• ##### Software

TI Connect™
TI Connect™ CE

• ##### Accessories

TI Connectivity Cable

## How Many Solutions?

#### Activity Overview

In this activity, students graph systems of linear functions to determine the number of solutions. In the investigation, students are given one line and challenged to draw a second line that creates a system with a particular number of solutions.

#### Key Steps

• In the first problem of the activity, students will graph the three systems given on the worksheet. They should enter them into the Y= screen and then view the graph in the ZStandard view.

• In the second problem of the activity, students open the Cabri Jr files one at a time. Each file contains 1 line already drawn. Students are to draw a line for each scenario, 1 solution, no solutions, and infinitely many solutions. They need to record the equation of their line in the appropriate place in the table on the worksheet.