Lesson plan

# Predict the number of solutions for a system of two linear equations in two variables by inspection

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: Solutions of a system of linear equations can be rationalized by using their slope and y-intercept. You can predict the solutions of a linear system based on its equations. Students will sort a series of linear systems based on their number of solutions: no solution, infinitely many solutions, or one solution. Their sorting will be based on inspection of the structure of each equation within the system, looking at the slopes and y-intercepts. This builds upon students' understanding of how slopes and y-intercepts affect the solution of a linear system when graphing and prepares them to algebraically solve systems using other methods (elimination and substitution). Vocabulary: inspection, slope, y-intercept Special Materials: scissors sorting template systems cards