Education Technology

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

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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.