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Unit 1

More Multiples

Lesson 5

Factors and Multiples

Expressions and Equations

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Let’s solve problems that involve factors and multiples.

Unit 1 ● Lesson 5

Learning

Goal

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Banquet Seating

Unit 1 ● Lesson 5 ● Warm-up

About how many chairs are in the room?

Record an estimate that is:

too low	about right	too high

Estimation Exploration

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

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Banquet Seating

Unit 1 ● Lesson 5 ● Warm-up

What part of the picture did you use to make your estimate?
Which estimates would have been unreasonable?

Estimation Exploration

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

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Choose the Right Tables

Unit 1 ● Lesson 5 ● Activity 1

Work with your partner to choose a type of table to seat different groups of students.

Launch

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

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Choose the Right Tables

Unit 1 ● Lesson 5 ● Activity 1

Students are preparing for a party. The school has tables where 6 people can sit and tables where 8 people can sit.

The students can only choose one type of table and they want to avoid having empty seats.

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

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Choose the Right Tables

Unit 1 ● Lesson 5 ● Activity 1

Jada’s class has 18 students. Which tables would you choose for Jada’s class? Explain or show your reasoning.
Noah’s class has 30 students. Which tables would you choose for Noah’s class? Explain or show your reasoning.
Which tables would you choose for Noah’s and Jada’s classes together? Can you find more than one option? Explain or show your reasoning.
If you also want places for Noah’s teacher and Jada’s teacher to sit, which tables would you choose? Explain or show your reasoning.

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

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Choose the Right Tables

Unit 1 ● Lesson 5 ● Activity 1

Can Noah’s class fit exactly in tables for 6? How do you know?
Can Noah’s class fit exactly in tables for 8? How do you know?
How do multiplication facts or the idea of multiples help us think about this problem?
For the problem with both classes and the teachers, could they all fit at tables of 6? Why or why not?
Could they all fit at tables of 8? Why or why not?

Activity Synthesis

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

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Hot Dogs and Buns

Unit 1 ● Lesson 5 ● Activity 2

Each package of hot dogs has 10 hot dogs. Each package of hot dog buns has 8 buns.

What questions could you ask about the situation?
Let's solve problems about hot dogs and hot dog buns, which come in different-size packages.
For each problem, look for possible numbers of packages that are needed to serve hot dogs at a picnic.
Take a minute to read the problems and think about how you would solve them.

Launch

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

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Hot Dogs and Buns

Unit 1 ● Lesson 5 ● Activity 2

Lin expects to need 50 hot dogs for a class picnic.

How many packages of hot dogs should Lin get? Explain or show your reasoning?
Can Lin get exactly 50 hot dog buns? How many packages of hot dog buns should Lin get? Explain or show your reasoning.

Diego expects to need 72 hot dogs for a class picnic.

How many packages of hot dogs should Diego get? Explain or show your reasoning?
How many packages of hot dog buns should Diego get? Explain or show your reasoning.

Is it possible to buy exactly the same number of hot dogs and buns? If you think so, what would that number be? If not, explain your reasoning.

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

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Hot Dogs and Buns

Unit 1 ● Lesson 5 ● Activity 2

Let’s share responses to the problem about 72 hot dogs.
Why are there different answers to this question?
Is it possible to buy exactly the same number of hot dogs and buns? If so, how many of each?
Why is it possible to buy exactly the same number of hot dogs and buns when the packaging is different?

Activity Synthesis

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

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More Multiples

Unit 1 ● Lesson 5

Is making mistakes a part of math class and doing math together?
What does it feel like when someone points out a mistake or disagrees with your idea?
What might it look like or sound like to challenge each other’s ideas without hurting feelings?

Lesson Synthesis

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

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Fourth-grade Party

Unit 1 ● Lesson 5

All of the fourth-grade classes are getting together for a party. They have tables where 6 people can sit and tables where 8 people can sit. There will be 72 students that need seats.

If you may only use one type of table, which type of table would you choose? Explain or show your reasoning.

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.