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Compound Shapes Area – Color by Number Activity

Ten compound-shape area problems each pair a computed value with a color, which students then use to fill in a number grid that reveals a hidden picture.
Grades
Grades 7–8, Middle School
File type
PDF
Preparation
Print ready

Updated Feb 18, 2024

Subject
Math, Geometry
Topic
Middle School Math, Color by Number
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

Engage secondary math students by reviewing areas of compound shapes with this color by number activity. Students will calculate the area for various compound shapes on the printable worksheet. Then, they will color in the corresponding question number on the next page according to the color key. An answer key is provided for students to check their work before coloring. This activity can be used for independent practice, partner work, homework, or an option for early finishers. The color by number format makes reviewing geometry concepts like finding the areas of compound shapes more engaging and fun. This activity is designed for grades 7-10 and works well for middle and high school math teachers looking for a creative way to build geometry skills. Pair it with a lesson on area or use it for test prep. Save time prepping with this ready-to-print 4-page resource.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Students calculate the area of compound (composite) shapes by decomposing them into simpler figures.

  • Students apply a computed numeric answer to a color-matching key rather than writing the number directly.

  • Students self-check their area calculations, since an error produces a visibly incorrect color-by-number result.

Teaching tips

  • Have students show their area-decomposition work for each of the 10 shapes on a separate sheet before transferring only the color to the grid, since the color-by-number format hides individual numeric answers.

  • Use the answer key to spot-check a student's coloring quickly against the expected area-to-color pairing rather than re-solving every shape.

  • Assign the activity as independent practice after direct instruction on decomposing compound shapes into rectangles and triangles, since the worksheet itself provides no worked example.

Skills covered

  • Compound-shape area calculation — students decompose 10 composite figures into simpler shapes to compute area.

  • Self-checking through color-by-number — students verify their arithmetic because an incorrect area produces a visibly wrong color in the revealed picture.

  • Precision and unit tracking — students track area values in square centimeters across ten distinct problems.

Good to know

Questions teachers ask about this resource

How does the color-by-number format connect to the area problems?

Each of the 10 area problems is labeled with a color instead of a blank answer line. After calculating a shape's area, students use the matching color to fill in the corresponding section of a number grid, so a wrong calculation shows up as an incorrect color in the revealed picture.

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Curriculum

Standards, concepts & topics

Standards

  • 6.G.A.1 — Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
  • 7.G.B.6 — Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Core concepts

  • area of compound shapes

  • decomposition into simpler figures

  • color-by-number self-checking

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