Decomposing Areas: Reversed Worksheet

This is a Decomposing Areas: Reversed Worksheet Set.

The first worksheet is Decomposing Rectilinear Shapes in Reverse.

Students will:

-Cut out each of the rectilinear shapes.

-Determine the area of each shape if each square represents 1 square foot (or 1 ft²) and write the areas on the lines before determining the total area.

-There are shapes 5 shapes (labeled a – e) for students to cut out.

After determining the area of each shape, students will:

-Create a new, larger rectilinear shape using all 5 of your pieces

-Represent the new rectilinear shape on the grid at the bottom of the page.

Finally, students will answer 2 questions:

What is the total area of your new rectilinear shape?

Did your total area change?

An answer key is included.

The second worksheet is Decomposing Areas: Reversed.

In this activity, students are given sets of area measurements. Their job is to make squares or rectangles that match these measurements in order to create a larger rectilinear shape. After creating the shapes, they will check to make sure the areas match.

There are 9 problems to complete here. Grid paper is attached with the first problem already being complete for students.

An answer key is included.

Both of these worksheets can be completed independently, in small groups, or as homework.

If this is a skill that has already been introduced and reviewed, this worksheet can be completed independently if you want to take a grade on it.

If this is a new skill, small groups would be great so that you can informally assess how well students are beginning to master this skill.