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Common Core Standard 3.MD.C.7c Questions

Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.

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Grade 3 Area CCSS: 3.MD.C.7, 3.MD.C.7c

Robert needs to determine the area of his garden. The garden is 12 feet long and 9 feet wide. Which statement explains how Robert can correctly calculate the area of his garden?

Find the sum of 12 and 9.
Multiply 1 by 2, multiply 1 by 9, and find the sum of the products.
Multiply 1 by 9, multiply 2 by 9, and find the sum of the products.
Multiply 10 by 9, multiply 2 by 9, and find the sum of the products.

Grade 3 Area CCSS: 3.MD.C.7, 3.MD.C.7c, MP7

This question is a part of a group with common instructions. View group »

Identify TWO raised garden boxes with the same area, and explain how you know
that the areas are equal.

Enter your answers and your explanation in the space provided.

Grade 3 Area CCSS: 3.MD.C.7, 3.MD.C.7c, MP3

This question is a part of a group with common instructions. View group »

The grids show garden boxes B and C next to each other. Each small box equals 1 square foot. Garden boxes B and C are placed end to end to make a new, larger garden box.
Unit Squares 2

Tucker uses the expression

$(4xx5) + (4xx4)$ to find the area of the new, larger garden box.

Avery uses the expression

$4xx(5 + 4)$ to find the area of the new, larger garden box.

$*$ Find the total area, in square feet, of the new, larger garden box.

$*$ Use the grids to explain why both Tucker's expression and Avery's expression are correct.

Enter your answer and your explanation in the space provided.

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