Unit 1 Plan - Grade 4

Lesson 1

Multiples of a Number

Area and Multiples

If a rectangle is 6 tiles wide, what could be its area? Name three possibilities. Explain or show your reasoning.

Show Solution

Sample response: 12, 18, and 24, because $6\times2=12$ , $6\times3=18$ , and $6\times4=24$ .

Lesson 2

Factor Pairs

The Side Lengths of Rectangles

What are all of the possible side lengths of a rectangle with an area of 21 square units?
What are all of the possible side lengths of a rectangle with an area of 50 square units?

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1 and 21, 3 and 7
1 and 50, 2 and 25, and 5 and 10

Lesson 3

Prime and Composite Numbers

Prime or Composite?

1. What are the factor pairs of 40?
2. Is 40 a prime or composite number? Explain or show your reasoning.
Is 17 a prime or composite number? Explain or show your reasoning.

Show Solution

1. 1 and 40, 2 and 20, 4 and 10, 5 and 8.
2. Composite, because it has more than 1 factor pair.
Prime, because it has only one factor pair, 1 and 17.

Lesson 4

Multiplication Practice

Reflect on Multiplication and Strategies

What multiplication facts do you want to keep practicing?
Describe a strategy you can use in the future to multiply two whole numbers.

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Sample response:

I want to keep practicing products of 7 and 9 because I don't know them right away yet and they take me longer to find.
When I multiply, I can see if there are facts I know that would help me figure out the product I’m working on.

Section A Check

Section A Checkpoint

Problem 1

What are the possible side lengths of a rectangle with area 10 square units?

Draw an example of each possible rectangle on the grid.

Show Solution

2 units by 5 units, or 1 unit by 10 units. Sample response:

Problem 2

Select all true statements.

A. 5 is a factor of 35.

B. 35 is a factor of 5.

C. 5 is a multiple of 35.

D. 35 is a multiple of 5.

Show Solution

A, D

Problem 3

Is 17 a prime number or a composite number? Explain how you know.
Is 21 a prime number or a composite number? Explain how you know.

Show Solution

Prime, because it has only one factor pair, 1 and 17.
Composite, because it has more than one factor pair.

Lesson 5

More Multiples

Fourth-Grade Party

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.

Show Solution

Sample responses:

I would choose the tables that seat 8 because 72 is a multiple of 8 and $8 \times 9 = 72$ .
I would choose the tables that seat 8 because 72 is a number I say when I skip count by 8.
I would choose 12 tables that seat 6 because $12 \times 6 = 72$ .
I would choose the tables that seat 6 because 72 is a number I say when I skip count by 6.

Lesson 6

The Locker Problem

Reflect on Problem Solving

Reflect on your work today. How did you organize your thinking? How did you adjust your work and thinking along the way? What was helpful to you?

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Sample response: I started trying to write everything in one color but then I saw that if I used different colors, it was easier to keep track.

Lesson 7

Find Factors and Multiples

Complete the Statements

Complete the statements for each number.

number

factor

multiple

11

______ is a factor of ______ because . . .

______ is a multiple of ______ because . . .

24

______ is a factor of ______ because . . .

______ is a multiple of ______ because . . .

Show Solution

Sample responses:

number	factor	multiple
11	11 is a factor of 55 because $11\times5=55$ .	11 is a multiple of 1 because $11\times1=11$ .
24	8 is a factor of 24 because $8\times3=24$ .	24 is a multiple of 8 because $8\times3=24$ .

Lesson 8

Mondrian's Art

No cool-down

Section B Check

Section B Checkpoint

Problem 1

Pencils come in packages of 10 and 12. Jada’s class needs 60 pencils. Which packages of pencils would you choose for Jada’s class? Explain or show your reasoning.

Show Solution

Sample responses:

I would get 6 packages of 10 pencils and that would give me 60 pencils.
I would get 5 packages of 12 pencils and that would give me 60 pencils.

Problem 2

Find all of the factor pairs for each number.

13
16
24

Show Solution

1 and 13
1 and 16, 2 and 8, 4 and 4
1 and 24, 2 and 12, 3 and 8, 4 and 6

Problem 3

Select all of the true statements.

A. 19 is a prime number.

B. The only factors of 9 are 1 and itself.

C. 3 is a factor of 24.

D. 56 is a multiple of 6.

Show Solution

A, C

Unit 1 Factors And Multiples — Unit Plan