Unit 7

Subtract Within 1,000

Lesson 16

Adding and Subtracting within 1,000

Expressions and Equations

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Let’s subtract in a way that makes sense.

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Unit 7 ● Lesson 16

Learning

Goal

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Equations Based on Place Value

Unit 7 ● Lesson 16 ● Warm-up

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

• 2 hundreds + 3 tens + 4 ones = 2 hundreds + 3 tens + 14 ones
• 2 hundreds + 3 tens + 4 ones = 1 hundred + 13 tens + 4 ones
• 1 hundred + 13 tens + 4 ones = 1 hundred + 12 tens + 14 ones

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True or False

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Jada’s Thinking

Unit 7 ● Lesson 16 ● Activity 1

Lin’s diagram:

• Take a minute to make sense of Lin’s subtraction.
• Discuss Lin’s work with your partner.

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Launch

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Jada’s Thinking

Unit 7 ● Lesson 16 ● Activity 1

Lin’s diagram Jada’s equations

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1. Discuss how Jada’s equations match Lin’s diagram.
2. Finish Jada’s work to find the value of 582 – 145.

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

Jada’s Thinking

Unit 7 ● Lesson 16 ● Activity 1

2. Jada is thinking about how to find the value of 402 – 298.
• Jada says she knows a way to count on to find the difference. She showed her thinking using a number line.

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Explain Jada’s thinking.

• Jada says you can’t decompose to find the value of 402 – 298 because there aren’t any tens.

Do you agree with Jada? Use base-ten blocks, diagrams, or other representations to show your thinking.

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

Jada’s Thinking

Unit 7 ● Lesson 16 ● Activity 1

• How does Jada’s method for finding 402 – 298 work?
• Why do you think Jada used this strategy?
• Do you agree with Jada that you can't decompose 402?

“I agree because . . .”

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“I disagree because . . . ”

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Activity Synthesis

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

Find It Your Way

Unit 7 ● Lesson 16 ● Activity 2

Find the value of each expression in a way that makes sense to you. Show your thinking. Organize it so it can be followed by others.

1. 535 – 214
2. 700 – 589
3. 683 – 398
4. 918 – 608
5. 735 – 457
6. 602 – 487

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

Find It Your Way

Unit 7 ● Lesson 16 ● Activity 2

• Find a partner who found the value of _____ the same way as you.
• Now find a partner that found the value of _____ in a different way than you. Share your thinking.

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

Find It Your Way

Unit 7 ● Lesson 16 ● Activity 2

• Let’s share some of the methods or representations that one of your partners shared with you.
• What methods or representations do you want to try more?

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Activity Synthesis

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

Subtract Within 1,000

Unit 7 ● Lesson 16

In this unit, you added and subtracted within 1,000, composing and decomposing units when necessary.

What are you most proud of learning? What do you still need to work on?

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Lesson Synthesis

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

Find the Difference Your Way

Unit 7 ● Lesson 16

324 – 157 500 – 185 712 – 299 822 – 365

1. Choose one expression and find the value by subtracting by place. Show your thinking.

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• Explain why you chose that expression.

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• Choose a different expression and find the value using a different method. Show your thinking.

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• Explain why you chose that expression.

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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.