Find area by breaking down a rectangle into smaller rectangles

Find area by breaking down a rectangle into smaller rectangles

In this lesson you will learn how to find the area of a rectangle or square by breaking it into smaller rectangles.

ADDITIONAL MATERIALS

STANDARDS

CCSS.3.MD.C.7 Relate area to the operations of multiplication and addition. Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning. Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths 𝘢 and 𝘣 + 𝘤 is the sum of 𝘢 × 𝘣 and 𝘢 × 𝘤. Use area models to represent the distributive property in mathematical reasoning. Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.