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Lesson Plan

Identifying and solving for the heights of non-right triangles using rectangles and perpendicular lines

teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
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.MP4 http://corestandards.org/Math/Practice/MP4
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Big Ideas: The height of any triangle can be found by measuring the length of the perpendicular line connecting the base of the triangle to its opposite vertex. This lesson builds on students’ work with finding the area of triangles. In order to find the area of any triangle, the height must be known, and in this task, students will create non-right triangles (equilateral, isosceles, and scalene) with specific heights using rectangles. They will discover that the height of any triangle can be determined by measuring the length of the perpendicular line connecting the base of the triangle to its opposite vertex. The mathematical concepts in this lesson build towards students’ future work with finding the area of non-right triangles using parallelograms. Vocabulary: non-right triangles (isosceles, equilateral, scalene), base, height, perpendicular, vertex Special Materials: Grid Paper Ruler and/or Straight Edge Supplementary Handout
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