Mathematics · Grade 5
Divide Unit Fractions in Context
Learners discover that a fraction is a division (3 ÷ 4 = 3/4) by sharing pizzas and granola bars, then divide a unit fraction by a whole number and a whole number by a unit fraction with bars and number lines. Every quotient is checked with multiplication, and the final lesson asks learners to decide which division a story describes.
- 4 lessons
- About 80 minutes
- Unit-fraction division check: 10 questions
- Ways to answer: choose an answer, type a fraction, match pairs, type a number, place on a number line and sort into groups
What learners will discover
- Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b) in sharing situations.
- Divide a unit fraction by a whole number using models, and check the quotient with multiplication.
- Divide a whole number by a unit fraction using models, and explain why the quotient is greater than the whole number.
- Decide which division a story describes and solve real-world problems with unit fractions.
Lessons
-
A fraction is a division 7 steps4 practiceabout 18 min
-
Sharing a unit fraction 9 steps5 practiceabout 20 min
-
How many unit fractions fit? 8 steps5 practiceabout 20 min
-
Which division is it? 7 steps4 practiceabout 22 min
-
Unit-fraction division check 10 questions at the end
Keep exploring
Games to practice with
- Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
- Array OrchardPlant trees in rows, pack fruit into crates and split big fields to multiply.
- Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.
More 5th grade math
- 5th Grade Math Games24 games to play free
- 5th Grade Math Worksheets12 printable worksheets
Guide for grown-ups
- Math fact fluency: how to teach addition and multiplication facts that stickA guide for teachers · 7 min read