Lesson plan

Solve systems of linear inequalities by graphing

teaches Common Core State Standards CCSS.Math.Content.HSA-REI.D.12 http://corestandards.org/Math/Content/HSA/REI/D/12
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Big Ideas: Solutions to a system of inequalities are infinite, lie in the intersection of corresponding half-planes, and satisfy the constraints of the system. Students will graph systems of inequalities in different equation forms and state viable solutions lying on different parts of the graph. They will justify why each solution is viable by substituting the solution value back into the system of inequalities. Students will use their prior knowledge of graphing one inequality in two variables and build to understand that solutions to system of inequalities are within the cross-section of the shaded regions, even with non-linear inequalities. Vocabulary: inequality, system of inequalities, boundary lines, viable solutions Special Materials: graph paper ruler color pencils (optional)