Lesson Plan

Understand how to construct an inscribed circle of a triangle through discovery and proof

teaches Common Core State Standards CCSS.Math.Content.HSG-C.A.3 http://corestandards.org/Math/Content/HSG/C/A/3
teaches Common Core State Standards CCSS.Math.Content.HSG-MG.A.1 http://corestandards.org/Math/Content/HSG/MG/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: The incenter of a triangle is the point equidistant from the sides of a triangle. It is the center of the circle inscribing the triangle. This lesson should take place after the lesson on circumcenters. Students should be able to construct angle bisectors before trying this lesson. This material will be used again when students learn about circles. Vocabulary: angle bisector, incenter, inscribed circle, equidistant Special Materials: Pencil Compass Straightedge
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