Task# Three Hidden Rectangles

Illustrative MathematicsVaries

The purpose of this task is for students to decompose a figure into rectangles and then find the total area by adding the area of all of its smaller, non-overlapping rectangles. This task also requires students to create expressions to represent the area of the entire figure as the sum of the areas of the rectangles. Students will need to see an example at the beginning, since there are different expressions that could be appropriate, and writing the directions unambiguously would be challenging reading for third graders. This is an instructional task.