Education Technology

All On The Line

Published on 09/08/2010

Activity Overview

Students enter points into a spreadsheet and graph equations to help solve linear systems.

Key Steps

  • Image

    In Problem 1, students will see two intersecting lines and be asked to determine the ordered pair that represents the solution. The grid is shown on the first problem, but hidden from view in the second problem to make it more challenging. Instructions are provided for students to check their answers using the Intersection Point(s) tool.

  • Image

    In Problem 2, students are introduced to parallel lines in a system. Students will notice that when the slopes are equal, the lines are parallel and will not intersect. Problem 3 the case demonstrated is the same two lines with infinitely many solutions.

  • Image

    For homework or an extension, students will write two equations (a system) for solving a word problem. In the spreadsheet, they will enter three pairs of numbers which are automatically displayed in a graph. Once the two linear equations are entered, the graph will reveal the solution to the problem.