Lesson plan

Solve for the area of a parallelogram by composing it into a rectangle

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: Area is additive. The sum of the areas of rectangles and triangles within a polygon will equal the area of the polygon. The area of a parallelogram can be solved for by composing the parallelogram into a rectangle. This lesson builds on students’ work with solving for the areas of different polygons and quadrilaterals. This task presents students with an opportunity to apply their knowledge of finding the area of rectangles to finding the area of parallelograms. Students are presented with different parallelograms and by decomposing them, they discover that the area of a parallelogram can be found by decomposing it and then composing it into different shapes. By decomposing the parallelograms, students will see how the areas of parallelograms and rectangles are related. The mathematical concepts in this lesson build toward students’ future work with finding the areas of different two-dimensional figures by decomposing them into triangles and other shapes. Vocabulary: parallelogram, compose, decompose, base, height, rectangle, length, width, area, square units, right triangle Special Materials: Grid Paper Scissors Tape or Glue Supplemental Handout