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Mathematics · Grade 6

Fraction Division and Models

Learners interpret fraction division as 'how many groups?' and 'how much in one group?', model quotients with number lines and tape diagrams, and then connect the models to the common-denominator and multiply-by-the-reciprocal methods. Story problems about servings, ribbons, trails and areas close the course, with every quotient checked by multiplication.

  • 4 lessons
  • About 85 minutes
  • Fraction division check: 10 questions
  • Ways to answer: choose an answer, type a fraction, match pairs, type a number, put in order and sort into groups
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What learners will discover

  • Interpret a fraction division as 'how many groups?' or 'how much in one group?' and write the division for a story.
  • Model fraction division with number lines and tape diagrams, including quotients with a partial group.
  • Divide fractions and mixed numbers with common denominators or by multiplying by the reciprocal, and check with multiplication.
  • Solve real-world problems that require dividing fractions, including finding a missing side length.

Lessons

  1. Two meanings of fraction division 7 steps4 practiceabout 20 min
  2. Models and partial groups 9 steps4 practiceabout 22 min
  3. Methods that always work 9 steps6 practiceabout 22 min
  4. Fraction division in context 7 steps4 practiceabout 21 min
  5. 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.
  • Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.
  • Ratio KitchenScale recipes, fill ratio tables and find the better buy.

More 6th grade math

Guide for grown-ups