TOPIC 5 · GRADES 3–4 FOUNDATION
Equivalent Fractions
Generate and explain different names for the same fraction.
MA.3.FR.2.2 · MA.4.FR.1.1–1.3BIG IDEA
Multiplying or dividing the numerator and denominator by the same nonzero number changes the number of pieces, not the total amount.
LEARN IT WITH A STORY
One pizza amount, different slice names
Half a pizza can be cut again without changing how much pizza remains. The same amount can be named 1/2, 2/4, or 4/8.
- 1Start with one half of an equal-size whole.
- 2Split every piece into the same number of smaller equal pieces.
- 3Multiply numerator and denominator by the same number; the value stays equal.
Draw and explain
Draw one bar for 2/3. Split every third in half to prove 2/3 = 4/6.
FRACTION WORD BANK
Tap a word, then turn the card
Say the word aloud before revealing its meaning. Tap again to return to the word.
WATCH AND NOTICE
Equivalent fractions with visuals | 3rd grade | Khan Academy
Pause when a model appears. Name the whole, denominator, numerator, and fraction before the teacher explains it.
Open on YouTube ↗WHAT TO KNOW
- 1/2, 2/4, and 4/8 cover the same amount of equal-sized wholes.
- Equivalent fractions land at the same point on a number line.
- Use models to explain why a rule works before relying on the rule.
WATCH OUT
Adding the same number to top and bottom usually does not make an equivalent fraction.
TRY IT
Change the scale factor and watch every original part split equally.