Multiplying Fractions by Whole Numbers

Multiplying Fractions by Whole Numbers

I can understand a fraction is a multiple of its unit fraction (4.NF2.4a)

I can use visual models to multiply a fraction by a whole number. (4.NF2.4b and 4.NF2.4c)

Learning Scale

Level 2 - Identify the unit fraction that a given fraction is the multiple of (4.NF2.4a)

Identify a fraction that is a multiple of a unit fraction (4.NF2.4b)

Model multiplication of a fraction by a whole number with visual representations (4.NF2.4c)

Level 1 - Define multiple (4.NF2.4a)

Model the joining of unit fractions to create multiple of a fraction with visual models (4.NF2.4b)

Recognize when a word problem calls for the multiplication of a fraction by a whole number (4NF2.4c)

Learning Scale

Level 4 -Develop word problems that multiply fractions by whole numbers and justify the solutions. (4.NF2.4a, 4.NF2.4b, 4.NF2.4c)

Level 3 - Understand a fraction as a multiple of its unit fraction. (4.NF2.4a)

Understand a multiple of a fraction as a multiple of its unit fraction and use this understanding to multiply a fraction by a whole number. (4.NF2.4b)

Solve word problems involving multiplication of a fraction by a whole number. (4.NF2.4c)

Multiple Select

Lucy has 4 friends. She gives each of them 5 cookies. How many cookies does she give out to her friends? Select all that apply.

Draw a model to show 4 x 3

Draw 4 groups of 3

Draw a picture to show 4 x 1/2

Think about what 1/2 looks like.

Tyler has 4 friends. He gives each of them 1/2 of a cookie. How many cookies does he give out to his friends?

All the same strategies we use for multiplication can be used to multiply a fraction by a whole number.

Poll

Amy says that she can use multiplication to solve this problem:

Danny has 8 bottles. He fills each bottle with 1/3 cup of water. How much water has he poured in all?

• Agree

• Disagree

Multiple Choice

True or False?

8/3 is a multiple of 1/3.

• True

• False

Multiple Choice

1. Which visual model represents 2 x 2/6?

Multiple Choice

2. Which visual model represents 3 x 2/3?

Multiple Choice

3. This model represents multiplying a whole number by a fraction. Select the expression that represents the shaded model.

• 1 x 1/3

• 2 x 1/3

• 2 x 2/3

• 2 x 2/6

Multiple Choice

4. What expression is modeled above?

• 5 x 1/6

• 1/5 x 6

• 5/30

• 6 x 1/5

Multiple Choice

5. Click on the picture.

• 3 x 2/4

• 3 x 2/3

• 4 x 2/4

• 6 x 6/12