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Find Area - Distributive Property


Videos to help Grade 3 students learn how to apply the distributive property as a strategy to find the total area of a large rectangle by adding two products.

Common Core Standards: 3.MD.5, 3.MD.6, 3.MD.7a, 3.MD.7b, 3.MD.7d

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Lesson Plans and Worksheets for Grade 3

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More Lessons for Grade 3

Common Core For Grade 3

New York State Common Core Math Module 4, Grade 3, Lesson 10

Application Problem

Sonya folds a 6 by 6 square inch piece of paper into 4 equal parts, shown below. What is the area of 1 of the parts?

Note: This problem reviews the concept of finding area.

Concept Development

We can break apart a 18 by 9 rectangle into two 9 by 9 rectangles. What other ways could we break apart this rectangle?

We could break it into one 10 by 9 rectangle and one 8 by 9 rectangle.

Lesson 10 Homework

1. Label the side lengths of the shaded and unshaded rectangles. Then find the total area of the large rectangle by adding the areas of the 2 smaller rectangles.

2. Finn imagines 1 more row of nine to find the total area of 9 × 9 rectangle. Explain how this could help him solve 9 × 9.

Lesson 10 Homework

3. Shade to break the 16 × 4 rectangle into 2 smaller rectangles. Then find the sum of the areas of the 2 smaller rectangles to find the total area. Explain your thinking.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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