Name Date

4.NF.A.1Class

Equivalent Fractions

Key Takeaways

Standard: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Previously, we were able to add and subtract fractions with like denominators. Now, we can create equivalent fractions by multiplying the initial fraction by a fraction equivalent to one whole.

Vocabulary:

Numerator: The number of those parts being described by the fraction

Denominator: Shows how many equal parts or pieces the whole has been split into

Equivalent fractions: Fractions that represent the same value are called equivalent fractions.

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Activating Prior Knowledge

You learned about equivalent fractions in 4th grade. Let’s start by seeing what you remember! Read and answer each question below.

1) Which models are shaded to represent fractions that are equivalent to ?

2) The models below are shaded to represent equivalent fractions.

Which fraction is equivalent to the fractions shown by the models?

A.

B.

C.

D.

Guided Practice

Let’s work together to make sure we can find equivalent fractions without having a model. First, let’s use a few models to make sure we can see that they are equivalent.

1) Fill in each number sentence below the models.

Example 1

Example 2

Example 3

2) How can you tell from the equations that these fractions are equivalent?

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3) Now let’s find equivalent fractions without using models.

Independent Practice (Mild)

Part A

Write the equivalent fractions by using the models.

Part B

Write equivalent (=) or not equivalent between each pair of fractions.

Part C

Find the missing value so that you have a pair of equivalent fractions.

Explain how you found the missing value for #3.

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Explain how you found the missing value for #4.

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Independent Practice (Medium)

1) Write 2 equivalent fractions for each of the fractions listed below. Show your work!

A.

B.

C.

2) Use the model below to answer questions A-B.

A

A. Write an equation to show that these two fractions are equivalent. _____________________

B. Find 3 more fractions that are equivalent to the two fractions above.

3) Briana did the following work to find an equivalent fraction:

x =

Are and equivalent? Why or why not? If not, include how Briana could fix her work in your response.

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4) Use the bar model below to show three more equivalent fractions to the one modeled.

Independent Practice (Spicy)

Part A

Complete each set of equivalent fractions.

Part B

Choose 3 sets of equivalent fractions that are equivalent to and .

A. and

B. and

C. and

D. and

E. and

F. and

Name Date

4.NF.A.1Class

Equivalent Fractions

Exit Ticket

1) Write the equivalent fractions below the models.

Part A

Part B

2) Without a model, how can you tell that the two fractions in #1 (Part A) are equivalent?

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3) Which set below is not equivalent to and ?

A. and

B. and

C. and

D. and

Name Date

4.NF.A.1Class

Equivalent Fractions

Homework

Part 1: Write the equivalent fractions below each model.

Part 2: Write equivalent (=) or not equivalent between each set of fraction models.

Part 3: Determine the equivalent fraction in each row.

Part 4: Read and respond. Remember to Name It and then Explain It!

Dejon did the following work to find an equivalent fraction:

Do you agree or disagree with his work? Explain.

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Part 5: Find the equivalent fraction and then fill in the matching letter in the boxes below to solve the riddle.

Riddle: What can you hold without touching it?

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