Education Technology

How Many Solutions?

Published on 01/31/2011

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

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    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.

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    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.