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Unit 2

Divide to Multiply Non-unit Fractions

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Lesson 8

Fractions as Quotients and Fraction Multiplication

Expressions and Equations

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Let’s solve problems about multiplying whole numbers by fractions.

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Unit 2 ● Lesson 8

Learning

Goal

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A Fraction by a Whole Number

Unit 2 ● Lesson 8 ● Warm-up

Decide if each statement is true or false. Be prepared to explain your reasoning.

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True or False

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

4 of 10

Multiply a Whole Number by a Fraction

Unit 2 ● Lesson 8 ● Activity 1

Find the value of each expression. Explain or show your reasoning. Draw a diagram if it is helpful.

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

5 of 10

Multiply a Whole Number by a Fraction

Unit 2 ● Lesson 8 ● Activity 1

  • How are the expressions the same?
  • How are the expressions different?
  • How can you use the value of to help find the value of ?
  • What about ?
  • How does the diagram show ?
  • How could you adapt the diagram to show ?

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Activity Synthesis

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

6 of 10

Match Expressions to Diagrams

Unit 2 ● Lesson 8 ● Activity 2

Explain how each expression represents the shaded region.

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

7 of 10

Match Expressions to Diagrams

Unit 2 ● Lesson 8 ● Activity 2

  • How does the diagram represent the expression?
  • How does the diagram represent the expression?
  • How do we know this is true?
  • Are there any other words, phrases, or diagrams that are important to include on our display?

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Activity Synthesis

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

8 of 10

Divide to Multiply Non-unit Fractions

Unit 2 ● Lesson 8

What would you add to or revise about the relationship between multiplication and division?

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Lesson Synthesis

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

9 of 10

Two Thirds

Unit 2 ● Lesson 8

Find the value of each expression. Explain or show your reasoning.

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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.