Lesson plan

Determine if a system of two linear equations in two variables has infinitely many solutions by graphing

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

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Big Ideas: Graphs of linear systems having infinitely many solutions have multiple points of intersection. Linear systems having the same slope and same y-intercepts have infinitely many solutions. Students will graph a system of linear equations and, in doing so, will recognize that the system has infinitely many solutions because the equations and graphs share the same slope and y-intercept. This task builds upon students' understanding that when a linear system shares a point of intersection, it marks a solution that will satisfy both equations. Additionally, they will recognize that the system shares an infinite number of points of intersection that satisfy both equations. Seeing how graphs' slopes and y-intercepts are connected to solution will assist them in future lessons on inspection of equations to determine the solution of linear systems. Vocabulary: infinitely many, simultaneously, satisfies, no solution Special Materials: Graphing paper