Lesson plan

Understand the pitfalls of graphing systems of equations by analyzing examples

teaches Common Core State Standards CCSS.Math.Content.HSA-REI.C.6 http://corestandards.org/Math/Content/HSA/REI/C/6
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: Graphing a system of equations by hand can be inaccurate, showing only approximations of solutions that need to be verified. Students will graph systems of equations and determine whether or not the graph would be an accurate way to solve the system. This builds on prior knowledge of graphing equations with integer solutions and expanding that knowledge to estimate solutions of systems of equations. This helps students understand that graphing systems is a good way to estimate solutions. This lesson builds toward solving systems algebraically. Vocabulary: system of equations, solution point, coefficient Special Materials: graph paper ruler