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Unit 4 - Lesson 10 - Grade 3: Illustrative Mathematics
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Instructions
Lesson: Explore Multiplication Strategies with Rectangles
Cool Down: Mark or Shade Parts to Find Area
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®
How Many Do You See: Squares (Warm Up)
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From Diagrams to Expressions
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Here is another rectangle.
Its area can be found by finding 4 x 9.
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From Expressions to Diagrams
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Here is a rectangle whose area can be found by finding 6 x 7.
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Question 1
1.
How many do you see?
Question 2
2.
How do you see them?
Andre and Elena are finding the area of this rectangle.
Andre writes 6 x 3.
Elena writes 3 x 6.
Question 3
3.
Discuss with a partner:
How are Andre and Elena’s strategies alike?
Question 4
4.
Discuss with a partner:
How are Andre and Elena’s strategies different?
Question 5
5.
Discuss with a partner:
How are the numbers in Andre’s expressions related to his diagram?
Question 6
6.
Discuss with a partner:
How are the numbers in Elena’s expressions related to her diagram?
Question 7
7.
Mark or shade the rectangle in a way that would help you find its area.
visibility
View drawing
Question 8
8.
Write one or more expressions that can represent your work on the diagram and show how you find the area.
visibility
View drawing
Here are some rectangles and expressions that show how three students saw the area of the rectangles.
Question 9
9.
Name the two factors that can be multiplied to find its area.
Question 10
10.
Mark or shade the rectangle to show how each student saw the area.
visibility
View drawing
Question 11
11.
Explain your reasoning.
Question 12
12.
Name the two factors that can be multiplied to find its area.
Question 13
13.
Mark or shade the rectangle to show how each student saw the area.
visibility
View drawing
Question 14
14.
Explain your reasoning.
Question 15
15.
Name the two factors that can be multiplied to find its area.
Question 16
16.
Mark or shade the rectangle to show how each student saw the area.
visibility
View drawing
Question 17
17.
Explain your reasoning.
Question 18
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.
visibility
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Question 19
19.
What is the value of 6 x 7? Explain or show your reasoning.
visibility
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