Lesson plan

Find the solution to a system of linear equations by looking at their graphs

teaches Common Core State Standards CCSS.Math.Content.8.EE.C.8a http://corestandards.org/Math/Content/8/EE/C/8/a

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Big Ideas: The solution of a system of linear equations with two variables is a point that satisfies both equations. When graphing a system of two linear equations, the point or points of intersection are solutions that satisfy both equations. In this lesson, students will see graphs of 3 different types of systems of linear equations: a system with one solution, a system with infinitely many solutions, and a system with no solution. They will relate their understanding that points on a given line are solutions to that line's linear equation. Students will continue to recognize the importance of the given solution satisfying both equations. Additionally, they will begin to see how slope affects the number of solutions. Vocabulary: intersection, solution, no solution, infinitely many solutions Special Materials: Graph paper