Lesson plan

Solve a system of equations that contains a linear and quadratic function by graphing

teaches Common Core State Standards CCSS.Math.Content.HSA-CED.A.3 http://corestandards.org/Math/Content/HSA/CED/A/3
teaches Common Core State Standards CCSS.Math.Content.HSA-REI.C.7 http://corestandards.org/Math/Content/HSA/REI/C/7
teaches Common Core State Standards CCSS.Math.Content.HSA-REI.D.11 http://corestandards.org/Math/Content/HSA/REI/D/11
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Understand the meaning of the points of intersection within the context of a problem. Understand graphing a system of equations. In this lesson, students will graph a linear equation and quadratic equation on the same graph in order to determine the locations of intersection. The points of intersection of the equations will be found as solutions to the system. The points of intersection will be related back to the context of the problem to determine the meaning and relevance of the values that are found. The next lesson will address solving these systems by using substitution. Vocabulary: linear function, quadratic function, system of equations, point of intersection Special Materials: Graph Paper Ruler Graphing Calculator (optional)