TOPIC 10 · GRADE 4 ENRICHMENT
Fractions of Sets and Multiplication
Connect repeated fraction groups and fractions of whole-number collections.
Bridge to later fraction multiplicationBIG IDEA
A fraction of a set can be found by dividing into denominator-sized equal groups and taking the numerator of those groups. Repeated fractions connect to multiplication.
LEARN IT WITH A STORY
Find a fraction of a fruit basket
To find 3/4 of 20 oranges, first split 20 into 4 equal groups of 5. Select 3 groups: 15 oranges.
- 1Divide the set into the denominator's number of equal groups.
- 2Find the size of one group—the unit fraction of the set.
- 3Take the numerator's number of groups; multiplication checks the repeated amount.
Draw and explain
Arrange 24 counters to find 2/3 of 24. Label the equal groups before counting.
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
Math Antics — Multiplying Fractions
Pause when a model appears. Name the whole, denominator, numerator, and fraction before the teacher explains it.
Open on YouTube ↗WHAT TO KNOW
- 3/4 of 20 means split 20 into 4 equal groups, then take 3 groups.
- 5 × 2/3 means five groups of two-thirds, totaling 10/3.
- Draw groups, bars, or arrays to keep the meaning visible.
WATCH OUT
The denominator tells how many equal groups to make, not how many objects to take directly.
TRY IT
Change the set size and fraction and watch equal groups form.