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Equivalent Fractions

4.NF.1

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Teacher Notes:

  • This lesson makes use of the Didax Fraction Tiles. You will want to familiarize yourself with this online tool as needed.
  • You may want to project this tool and review how to use it, letting students have the opportunity to explore and to represent fractions in advance of this lesson.
  • Reviewing this slide deck on student-paced pear deck may allow you to anticipate how students will interact with the slide deck. You may consider joining as a student, for example to model partitioning.

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  • Please delete this slide or move it to the beginning or end of the slide deck. It is set to skip, but this function does not work in Pear Deck.

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What do you notice? What do you wonder?

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What are equivalent fractions?

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What are equivalent fractions?

Equivalent fractions are fractions that are equal. They have the same value.

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What are equivalent fractions?

Equivalent fractions are fractions that are equal. They have the same value.

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Here are some examples:

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What is an equivalent fraction?

Equivalent fractions are fractions that are equal. They have the same value.

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Here are some examples:

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What are equivalent fractions?

Equivalent fractions can be represented on a number line.

Equivalent fractions are located at the same point on a number line.

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What are equivalent fractions?

Equivalent fractions can be represented on a number line.

Equivalent fractions are located at the same point on a number line.

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For example:

=

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What are equivalent fractions?

Equivalent fractions can be represented on a number line.

Equivalent fractions are located at the same point on a number line.

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For example:

=

What other examples of equivalent fractions do you see in this model?

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How Many Different Ways Can You Show ?

Use the virtual fractions tiles to find equivalent fractions for .

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  • Drag the fraction tile labeled to the work space.

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  • Can you make using one type of fractional parts? Can you make using thirds? fourths? Try out all the fraction tiles.
  • Jot down the fractions you find that are equivalent to .

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How Many Different Ways Can You Show ?

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What fractions did you find that are equivalent to ?

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How Many Different Ways Can You Show ?

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What fractions did you find that are equivalent to ?

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How Many Different Ways Can You Show ?

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What do you notice about the fractions equivalent to ?

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How Many Different Ways Can You Show ?

Use the virtual fractions tiles to find equivalent fractions for .

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  • Clear your work space.

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  • Drag the fraction tile labeled to the work space.

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  • Jot down the fractions you find that are equivalent to .

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How Many Different Ways Can You Show ?

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What fractions did you find that are equivalent to ?

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How Many Different Ways Can You Show ?

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What fractions did you find that are equivalent to ?

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How Many Different Ways Can You Show ?

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What do you notice about the fractions equivalent to ?

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How Many Different Ways Can You Show ?

Use the virtual fractions tiles to find equivalent fractions for .

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  • Clear your work space.

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  • Drag the fraction tiles to the work space to build .

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  • Jot down the fractions you find that are equivalent to .

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How Many Different Ways Can You Show ?

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What fractions did you find that are equivalent to ?

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How Many Different Ways Can You Show ?

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What fractions did you find that are equivalent to ?

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How Many Different Ways Can You Show ?

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What do you notice about the fractions equivalent to ?

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What do you notice?

Here are some pairs of equivalent fractions we have identified.

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What do you notice?

x 2

x 2

You may have noticed that it seems you can multiply the numerator and denominator by the same number to produce an equivalent fraction.

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What do you notice?

x 2

x 2

You may have noticed that it seems you can multiply the numerator and denominator by the same number to produce an equivalent fraction.

Does this hold true for each pair of equivalent fractions?

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What do you notice?

x 2

x 2

You may have noticed that it seems you can multiply the numerator and denominator by the same number to produce an equivalent fraction.

Letโ€™s explore this further in a bit. For now, letโ€™s see if this holds true as we have more experience with equivalent fractions.

x 4

x 4

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Partitioning to Create Equivalent Fractions

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Partitioning to Create Equivalent Fractions

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How can we partition thirds into sixths to create an equivalent fraction for ?

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Partitioning to Create Equivalent Fractions

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How can we partition thirds into sixths to create an equivalent fraction for ?

Use the pencil or straight line tool to partition the thirds to make sixths.

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Partitioning to Create Equivalent Fractions

How did you partition the representation of to create an equivalent fraction?

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Partitioning to Create Equivalent Fractions

What numerator makes the fractions equivalent?

=

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Partitioning to Create Equivalent Fractions

What do you notice?

=

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Partitioning to Create Equivalent Fractions

=

x 2

x 2

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Partitioning to Create Equivalent Fractions

x

=

The fraction has been renamed as . Each third has been sub-divided into two equal parts. So I have twice as many equal parts. I have four parts out of 6 or .

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Partitioning to Create Equivalent Fractions

x

=

The fraction has been renamed as . Each third has been sub-divided into two equal parts. So I have twice as many equal parts. I have four parts out of 6 or .

= 1

Multiplying by 1 does not change the value of my fraction. That is why the fractions are equivalent.

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Practice- Partitioning to Create Equivalent Fractions

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Partition the model of to show an equivalent fraction in twelfths. Type the correct numerator below.

=

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Practice- Partitioning to Create Equivalent Fractions

Partition the model of to show an equivalent fraction in eighths. Type the correct numerator below.

=

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Practice

Drag each point to a different number line to show a fraction that is equivalent to .

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Practice

Drag each point to a different number line to show a fraction that is equivalent to .

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Practice

Drag each point to a different number line to show a fraction that is equivalent to .

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Practice

Drag the vertical line to any fraction on any number line. Do you see any equivalent fractions for the fraction you chose? Be ready to share any observations with the class.

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Equivalent Fractions

4.NF.1