Lesson Plan: Solving Systems of Linear Equations Graphically Mathematics • 8th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to solve a system of two linear equations by considering their graphs and identifying the point of intersection.

Objectives

Students will be able to

  • understand that the solution set of a system of equations is graphically represented by the point or points at which the lines intersect,
  • understand the possible solution cases when solving a system of linear equations, particularly that
    • an independent system of linear equations (nonparallel lines) has one solution,
    • a dependent system of linear equations (coincident lines) has an infinite number of solutions,
    • an inconsistent system of linear equations (parallel lines) has no solution,
  • identify how many solutions a system of linear equations has when given the graph of the system,
  • find the solutions to a system of linear equations when given the graph of the system, the graph and the two equations, the graph only, or the two equations only (by constructing a graph),
  • find the appropriate range or ranges of the solutions to a system of linear equations when solving graphically.

Prerequisites

Students should already be familiar with

  • equations involving two variables,
  • the equation of a straight line in slope–intercept form,
  • graphing linear functions.

Exclusions

Students will not cover

  • systems of equations involving more than 2 variables,
  • solving systems of equations algebraically.

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