Lesson plan

Using rectangles to solve for the area of right triangles

teaches Common Core State Standards CCSS.Math.Content.6.G.A.1 http://corestandards.org/Math/Content/6/G/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: The area of a right triangle is half of the area of a rectangle. The key mathematical understandings and the task found within this lesson will challenge students to create multiple right triangles with a specific area. In this Geometry-based task, sixth grade students will build upon their understanding of the area of rectangles and apply that understanding to solving for the area of right triangles. Given a specific area, students must decide the different heights and bases of unique right triangles that could be created. The mathematical concepts presented in this lesson build toward students’ future work with deconstructing 2-D figures using triangles and rectangles to find their areas. Vocabulary: area, square units, rectangle, length, width, right triangle, base, height Special Materials: Grid paper Ruler or straight edge (optional)