Lesson plan

Solve for the areas of non-right triangles using parallelograms

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 non-right triangle can be found by composing a parallelogram. A triangle is half of a parallelogram. This lesson builds on students’ work with finding the area of triangles and describing area as square units. This task guides students as they discover that the area of an equilateral, isosceles, and scalene triangle is half the area of a parallelogram with the same base and height. At the culmination of this task, students will be able to describe the relationship that exists between areas of non-right triangles and parallelograms. The mathematical concepts in this lesson build toward students’ future work with decomposing 2-D shapes into triangles and rectangles to find their areas. Vocabulary: area, base, height, non-right triangles (equilateral, scalene, isosceles), properties of triangles, parallelogram, properties of parallelograms Special Materials: Grid Paper Scissors Tape or Glue Supplementary Handout