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Unit 3

Represent Unit Fraction Multiplication

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Lesson 2

Multiplying and Dividing Fractions

Expressions and Equations

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Let’s write expressions to represent multiplication of unit fractions.

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Unit 3 ● Lesson 2

Learning

Goal

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Diagrams

Unit 3 ● Lesson 2 ● Warm-up

Which one doesn’t belong?

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How does diagram A represent the expression ?

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Which One Doesn’t Belong?

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Interpret Diagrams

Unit 3 ● Lesson 2 ● Activity 1

  1. Show of the square.

Shade of of the square.

How much of the whole square is shaded?

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  • Show of the square.

Shade of of the square.

How much of the whole square is shaded?

  1. How are the diagrams the same and how are they different?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Interpret Diagrams

Unit 3 ● Lesson 2 ● Activity 1

  • How are the diagrams the same?
  • How are the diagrams different?
  • How do the diagrams represent these expressions?
  • How do we know that both squares have the same amount shaded?

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Activity Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Write an Expression

Unit 3 ● Lesson 2 ● Activity 2

Priya shaded part of a square.

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  1. Explain or show how the expression represents the area of the shaded piece.

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  • Explain or show how the expression represents the area of the shaded piece.

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Write an Expression

Unit 3 ● Lesson 2 ● Activity 2

  • Write a multiplication expression to represent the area of the shaded piece. Be prepared to explain your reasoning.

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  • How much of the whole square is shaded?

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Write an Expression

Unit 3 ● Lesson 2 ● Activity 2

  • Are there any other words or phrases that are important to include on our display?

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  • How does Priya’s diagram show each expression?

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Activity Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Write an Expression

Unit 3 ● Lesson 2 ● Activity 2

  • How does the shaded piece in the diagram represent ?

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  • How does the shaded piece in the diagram represent ?

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  • How much of the whole rectangle is shaded?

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Activity Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Represent Unit Fraction Multiplication

Unit 3 ● Lesson 2

  • Today we wrote multiplication expressions to represent shaded rectangles. We also wrote fractions to represent the size of the shaded piece.
  • How do you know these equations are true?

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Lesson Synthesis

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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How Much is Shaded?

Unit 3 ● Lesson 2

Write a multiplication expression to represent the area of the shaded region.

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Cool-down

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.