Lesson plan

Construct a triangle using two given sides and one angle measurement

teaches Common Core State Standards CCSS.Math.Content.7.G.A.2 http://corestandards.org/Math/Content/7/G/A/2
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.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: The number of triangles that can be created from two sides and one angle differ based on the measurements. Students will need prior knowledge of triangle construction before this lesson. Using their knowledge of triangle construction, students will work on creating as many triangles as possible when given two side measurements and one angle measurement. Some combination of angles will result in two possible triangle constructions and others will result in three possible triangle constructions. The reasoning behind why this happens will not be explicitly stated due to the complexity of the explanation. Vocabulary: Triangle Inequality Theorem, acute, obtuse, and right triangles, scalene, isosceles, and equilateral triangles. Special Materials: Rulers, protractors, and compasses (optional)