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Measurement and Data: Decomposing Figures to Find Area CCSS 3.MD.7c, 7d Facts & Worksheets

At the end of the lesson, the student will be able to find the area of rectangles decomposed into two parts by using the distributive property in mathematics.

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Worksheets /Math /Grade 3 (ages 8-9) /Measurement and Data: Decomposing Figures to Find Area CCSS 3.MD.7c, 7d Facts & Worksheets

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At the end of the lesson, the student will be able to find the area of rectangles decomposed into two parts by using the distributive property in mathematics. The student will also be able to recognize areas as an additive and find the area of a figure composed of two non-overlapping rectangles.

See the fact file below for more information on the decomposing figures to find area or alternatively, you can download our 29-page Measurement and Data: Decomposing Figures to Find Area CCSS 3.MD.7c, 7d worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE

  • At the end of the lesson, the student will be able to find the area of rectangles decomposed into two parts by using the distributive property in mathematics. The student will also be able to recognize areas as an additive and find the area of a figure composed of two non-overlapping rectangles.

A NOTE FOR THE TEACHER

  • When teaching Decomposing Figures to Find Area, take note of the following:
    • Aid the student in understanding the distributive property in mathematical reasoning.
    • Guide the student in developing a clear step-by-step process in finding the area of figures composed of two non-overlapping rectangles.

THEORY

  • In the figure below, we see two rectangles of different sizes. We can also notice that these two rectangles can be put together to make one big rectangle.

  • To find the area of this figure, we can go about it in two ways. First, we could just multiply the length and width of the entire large rectangle. We can do this by using the expression 6 x (4+8).
  • We know that 4 + 8 is equal to 12, so now we can multiply 6 and 12. This would give us an area of 72.
  • The second way is finding the areas of the smaller rectangles and adding them together.
  • To find the area of the blue rectangle, we use equation 6 x 4. This would give us 24.
  • Then to find the area of the red square, we use 6 x 8, which gives us 48.
  • We then add these two areas together. 24 + 48 = 72. This is the same as the area we got using the first method.
  • We can also use the second method in other figures that are made up of two non-overlapping rectangles. In the figure below, we can see that it is made up of two rectangles. To find the area of the whole figure, we can solve for the area of each of the rectangles and add them together.

  • The area of the larger rectangle can be found by using the expression
  • 8 x 3. This gives an area of 24.
  • The area of the smaller rectangle can be found by using the expression
  • 2 x 3. This gives an area of 6.
  • 24 + 6 = 30
  • The area of the entire figure is equal to 30.

Measurement and Data: Decomposing Figures to Find Area CCSS 3.MD.7c, 7d Worksheets

This is a fantastic bundle that includes everything you need to know about Measurement and Data: Decomposing Figures to Find Area across 29 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 3.MD.7c, 7d for Measurement and Data: Decomposing Figures to Find Area.

Table of contents:

  • A lesson plan
  • Warm-up activity
  • Math theory explained
  • Assisted learning activities
  • Independent learning activities
  • Extension activities and games
  • Answer keys

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Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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