Equivalent Fractions

Equivalent Fractions

By Amber Byrd

I can determine what an equivalent fraction is.

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I can represent equivalent fractions using a set, area and linear models.

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I can reason about the size of a fraction with the same numerator or denominator

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Objectives:

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Review

Pop Quiz Time

Multiple Choice

What fraction could you use to represent the shaded area?

• 1/3

• 1/8

• 1/5

Multiple Choice

What is the unit fraction for each of the pieces of this shape?

• 2/3

• 1/3

• 1/10

Multiple Choice

What fraction could you use to represent the shaded area?

• 3/4

• 5/8

• 3/5

Multiple Select

Is the picture correct? Are the two fractions equivalent?

• yes

• no

• I am not sure.

What does equivalent mean?

​If something is equivalent, it is equal or the same.

Equivalent fractions have some rules:

​two fractions are equal if they are the same size, based on the same whole, or at the same point on a number line.

To determine if two fractions are equivalent, I check to make sure each whole is the same size, then I look at the part that is being compared. 

If the shaded part takes up the same space, the fractions are equivalent. ​

I can do the same thing with fractions on a number line.

​If we set our number lines on top of each other we can look to see if each fraction takes up the same length on the number line.

​Equivalent fractions on a number line

​Today's Goal:

I can determine what an equivalent fraction is.

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I can represent equivalent fractions using a set, area and linear models.

​

I can reason about the size of a fraction with the same numerator or denominator

Multiple Select

Use the number lines to find an equivalent fraction for 2/4. There could be more than 1 answer.

• 4/8

• 1/2

• 5/6

• 1/4

Open Ended

Use your factions strips to find a fraction equivalent to 1/3