Lesson plan

Solve for missing parts of similar triangles by using the AA similarity theorem

teaches Common Core State Standards CCSS.Math.Content.HSG-SRT.A.3 http://corestandards.org/Math/Content/HSG/SRT/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: We can use AA similarity criteria to find missing parts of figures. We can prove AA similarity using transformations. The tasks in this lesson require students to prove the AA similarity theorem and use similar triangles to solve for a missing side(s) or angle. Students will use prior knowledge of similar triangles, rigid transformations and dilations. They will use the AA similarity criteria and proportional sides to solve for the missing side(s) or angle. Vocabulary: similarity, dilate, scale factor, proportionality