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Mathematics · Grade 5

Multiply Fractions and Interpret Scaling

Learners find fractions of whole numbers with tape diagrams, multiply fractions with area models, and find areas of rectangles with fractional sides. They then reason about scaling, predicting whether a product is bigger or smaller than a factor without computing, and solve recipe, garden and map problems with mixed numbers.

  • 4 lessons
  • About 85 minutes
  • Fraction multiplication and scaling check: 10 questions
  • Ways to answer: choose an answer, type a fraction, match pairs, type a number, place on a number line and put in order
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What learners will discover

  • Find a fraction of a whole number, such as 2/3 × 12, using tape diagrams and equal groups.
  • Multiply two fractions with an area model and find the area of a rectangle with fractional side lengths.
  • Interpret multiplication as scaling: predict whether a product is greater than, less than or equal to a factor without multiplying.
  • Solve real-world problems by multiplying fractions and mixed numbers.

Lessons

  1. A fraction of a whole number 7 steps4 practiceabout 18 min
  2. A fraction of a fraction 8 steps5 practiceabout 22 min
  3. Multiplication as scaling 8 steps4 practiceabout 22 min
  4. Mixed numbers in real problems 7 steps4 practiceabout 23 min
  5. Fraction multiplication and scaling 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

Guide for grown-ups