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Unit 6

Situations Involving Area

Lesson 15

Multiplying and Dividing Multi-digit Numbers

Expressions and Equations

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Let’s divide to find the side length of a rectangle.

Unit 6 ● Lesson 15

Learning

Goal

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Area of a Soccer Field

Unit 6 ● Lesson 15 ● Warm-up

Estimate: What is the length of the soccer field in meters?

Record an estimate that is:

How did you make your estimate? How did you know it’s reasonable?

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Estimation Exploration

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

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Elena’s Mural

Unit 6 ● Lesson 15 ● Activity 1

What is a mural?

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Launch

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

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Elena’s Mural

Unit 6 ● Lesson 15 ● Activity 1

Elena used 189 square tiles to create a rectangular mural for the art club. The mural is 7 tiles wide.

  1. How many tiles long is Elena’s mural? Be prepared to explain or show how you know.
  2. Write one or more equations that show how you solved this problem.

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

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Elena’s Mural

Unit 6 ● Lesson 15 ● Activity 1

Let’s share your responses and reasoning.

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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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Tyler’s Mural

Unit 6 ● Lesson 15 ● Activity 2

Tyler is also creating a rectangular mural for the art club. He has 197 tiles for his mural. His mural is 6 tiles wide.

  1. Will Tyler use all of his tiles in the mural? Explain your reasoning.
  2. How many tiles long is Tyler’s mural? Show your reasoning using numbers, pictures, or words.

Make one round to visit each poster. Place your sticky note on the poster with a strategy that matches your strategy or that makes the most sense to you.

After your first round, make another round to visit 1–2 other posters that you didn’t select. Make sense of the strategy of the poster and be prepared to explain how it is different than yours.

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

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Tyler’s Mural

Unit 6 ● Lesson 15 ● Activity 2

  • Which strategy seems to be most common? The least common? Why might they be the most or least common?
  • How many tiles did Tyler use for his mural? How do you know?
  • How many tiles were not used?

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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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Situations Involving Area

Unit 6 ● Lesson 15

Today we used division to find side lengths of rectangles. For each rectangle, we knew the area and the length of one side and we used division to find the length of the other.

  • What is the relationship between the side lengths and the area of a rectangle?
  • How do we find the missing side length?

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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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Sticky Notes on the Door

Unit 6 ● Lesson 15

Jada’s class is decorating their door with square sticky notes for their teacher. Each sticky note has a drawing or a message from a student.

The class used 234 square sticky notes to cover their classroom door completely, leaving no gaps or overlaps between the notes. It takes 9 square notes to cover the width of the door.

How many square notes does it take to cover the full height of the door? Show how you know.

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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.