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Equivalent Fractions without Models

- Grade 3 Math

Having learned to identify equivalent fractions using models, third graders now understand equivalence of fractions without relying on models. At this stage, children are not required to learn the general method of generating a fraction equivalent to a given fraction (usually, by reducing or simplifying). The focus is on developing a foundational understanding of equivalence of fractions. 

What’s inside?

- Identify the missing numerator or denominator in a pair of equivalent fractions.

- Identify whether two given fractions are equivalent.

Real-World Application

If we ate two slices of a pizza sliced into four and four slices of the same pizza sliced into eight, we essentially ate the same amount. You ask why? Because 2/4 and 4/8 of the same whole are equal/equivalent fractions.

What’s next?

After getting comfortable with equivalent fractions, children can learn to compare fractions with same denominators. 

Cool Fact

Do you think 1/2 and 4/8 is the same amount, always? If you do, then think again. The fractions are equivalent but not necessarily the same amount. Two slices of an 8-inch pizza are going to be much less than four slices of a 16-inch pizza. Equivalent fractions are the same amount if the two wholes are of the same size.

Common Core Alignment

3.NF.3.bRecognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.