Unit 6
Recording Partial Products: One-digit and Three- or Four-digit Factors
Lesson 9
Multiplying and Dividing Multi-digit Numbers
Expressions and Equations
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Let’s analyze and try an algorithm that uses partial products.
Unit 6 ● Lesson 9
Learning
Goal
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Expressions Galore
Unit 6 ● Lesson 9 ● Warm-up
Which one doesn’t belong?
How are the expressions alike?
Were there expressions that you knew right away were equivalent? Which ones? How did you know?
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Which One Doesn’t Belong?
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
An Algorithm for Noah
Unit 6 ● Lesson 9 ● Activity 1
What do you notice? What do you wonder?
4
Launch
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
An Algorithm for Noah
Unit 6 ● Lesson 9 ● Activity 1
How does each expression represent Noah’s diagram? Be prepared to share your thinking with a partner.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
An Algorithm for Noah
Unit 6 ● Lesson 9 ● Activity 1
Make sense of each step of the calculations and record your thoughts. Be prepared to explain Noah’s steps to a partner.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
An Algorithm for Noah
Unit 6 ● Lesson 9 ● Activity 1
4
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
An Algorithm for Noah
Unit 6 ● Lesson 9 ● Activity 1
Let’s share how you made sense of the steps in the second problem.
4
Activity Synthesis
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Try an Algorithm with Partial Products
Unit 6 ● Lesson 9 ● Activity 2
4
Launch
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Try an Algorithm with Partial Products
Unit 6 ● Lesson 9 ● Activity 2
Noah and Mai want to find the value of 8 ✕ 3,419. They recorded their steps in different ways, as shown.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Recording Partial Products: One-digit and Three- or Four-digit Factors
Unit 6 ● Lesson 9
Today we learned different ways of recording partial products to multiply four-digit by one-digit numbers. We made connections between a diagram and using algorithms that use partial products.
4 ✕ 5,342
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Lesson Synthesis
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Partial Products
Unit 6 ● Lesson 9
Find the value of 5 ✕ 1,023. Show your reasoning.
4
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.