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Unit 4 - Lesson 10 - Grade 3: Illustrative Mathematics

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19 Questions
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Grade 3 Unit 4
Lesson 10: Explore Multiplication Strategies with Rectangles
CC BY 2021 Illustrative Mathematics®
Grade 3 Unit 4
Lesson 10: Explore Multiplication Strategies with Rectangles
CC BY 2021 Illustrative Mathematics®
Lesson: Explore Multiplication Strategies with Rectangles

How Many Do You See: Squares (Warm Up)

1.

How many do you see?

2.

How do you see them?

From Diagrams to Expressions

Andre and Elena are finding the area of this rectangle.


Andre writes 6 x 3.


Elena writes 3 x 6.

3.

Discuss with a partner:

How are Andre and Elena’s strategies alike?

4.

Discuss with a partner:

How are Andre and Elena’s strategies different?

5.

Discuss with a partner:

How are the numbers in Andre’s expressions related to his diagram?

6.

Discuss with a partner:

How are the numbers in Elena’s expressions related to her diagram?

Here is another rectangle.

Its area can be found by finding 4 x 9.

7.

Mark or shade the rectangle in a way that would help you find its area.

8.

Write one or more expressions that can represent your work on the diagram and show how you find the area.

From Expressions to Diagrams

Here are some rectangles and expressions that show how three students saw the area of the rectangles.

9.


Name the two factors that can be multiplied to find its area.

10.

Mark or shade the rectangle to show how each student saw the area.

11.

Explain your reasoning.

12.


Name the two factors that can be multiplied to find its area.

13.

Mark or shade the rectangle to show how each student saw the area.

14.

Explain your reasoning.

15.


Name the two factors that can be multiplied to find its area.

16.

Mark or shade the rectangle to show how each student saw the area.

17.

Explain your reasoning.

Cool Down: Mark or Shade Parts to Find Area
Here is a rectangle whose area can be found by finding 6 x 7.

18.

Mark or shade the rectangle to show that we can write 2 x (3 x 7) or (6 x 5) + (6 x 2) to find its area.

19.

What is the value of 6 x 7? Explain or show your reasoning.