Unit 4

Fractions as Partial Quotients

Lesson 17

Wrapping Up Multiplication and Division with Multi-Digit Numbers

Expressions and Equations

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Let’s use fractions to help us divide whole numbers.

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Unit 4 ● Lesson 17

Learning

Goal

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What Do You Know About

Unit 4 ● Lesson 17 ● Warm-up

What do you know about ?

What are some expressions that are equal to ?

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What Do You Know About __?

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

Select Expressions

Unit 4 ● Lesson 17 ● Activity 1

1. Select all the expressions that are equivalent to . Explain or show your reasoning.
1. 78 ÷ 6

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• What is the value of 78 ÷ 6? Explain or show your thinking.

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4. (60 ÷ 6) + (18 ÷ 6)

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• (60 ÷ 6) + 18

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

Select Expressions

Unit 4 ● Lesson 17 ● Activity 1

• Which expressions match 78 ÷ 6?

• How do we know this is true?

• How can you use this equation to find the value of ?

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Activity Synthesis

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

Choose One Expression

Unit 4 ● Lesson 17 ● Activity 2

Which of these expressions would you use to find the value of ?

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Launch

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

Choose One Expression

Unit 4 ● Lesson 17 ● Activity 2

1. Use each expression to find the value of 165 ÷ 15. Explain or show your thinking.
2. Choose one expression and use it to find the value of 540 ÷ 18. Explain or show your thinking.

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

Choose One Expression

Unit 4 ● Lesson 17 ● Activity 2

• Which expressions were most helpful? Which expressions were least helpful? Explain or show your thinking.

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

Choose One Expression

Unit 4 ● Lesson 17 ● Activity 2

• Share your response as to why some expressions were helpful and others were not with your partner.
• Take turns being the speaker and the listener.
• If you are the speaker, share your ideas and writing so far.
• If you are the listener, ask questions and give feedback to help your partner improve their work.
• Revise your initial draft based on the feedback you got from your partners.

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Activity Synthesis

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

Fractions as Partial Quotients

Unit 4 ● Lesson 17

• How do we know this expression is equal to ?

• How can we use this expression to find the value of 540 ÷ 18?

• How can we use this expression to find the value of 540 ÷ 18?

• How do we know this expression is equal to 540 ÷ 18?
• Why is this expression not as helpful as the others?

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Lesson Synthesis

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

Choose One Expression

Unit 4 ● Lesson 17

Choose one expression and use it to find the value of 154 ÷ 14. Explain or show your thinking.

154 ÷ 14 = ______

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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.