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Math · Grade 5 Math · Unit 3

Unit 3: Multiplying and Dividing Fractions

Students extend multiplication and division of whole numbers to multiply fractions by fractions and divide a whole number and a unit fraction.

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Unit

Review the unit’s main ideas.

What this unit covers

A Fraction Multiplication · 9 lessons
Goals
  • Recognize that the product of two fractions can be found by multiplying numerators and multiplying denominators.
  • Represent and describe multiplication of a fraction by a fraction using area concepts.
Lessons
  1. One Piece of One Part
  2. Represent Unit Fraction Multiplication
  3. Multiply Unit Fractions
  4. Situations about Multiplying Fractions
  5. Multiply a Unit Fraction by a Non-Unit Fraction
  6. Multiply Fractions
  7. Generalize Fraction Multiplication
  8. Work with Mixed Numbers
  9. Apply Fraction Multiplication
B Fraction Division · 7 lessons
Goals
  • Divide a unit fraction by a whole number using whole-number division concepts.
  • Divide a whole number by a unit fraction using whole-number division concepts.
Lessons
  1. Concepts of Division (Optional)
  2. Divide Unit Fractions by Whole Numbers
  3. Represent Division of Unit Fractions by Whole Numbers
  4. Divide Whole Numbers by Unit Fractions
  5. Represent Division of Whole Numbers by Unit Fractions
  6. Fraction Division Situations
  7. Reason about Quotients
C Problem Solving with Fractions · 4 lessons
Goals
  • Solve problems involving fraction multiplication and division.
Lessons
  1. Fraction Multiplication and Division Situations
  2. Represent Situations with Multiplication and Division
  3. Fraction Games
  4. Recipes and Fractions (Optional)

Helpful to know first

The curriculum says this unit builds on these.

Grade 5 Math · Unit 2 Fractions as Quotients and Fraction Multiplication
← Unit 2 See the whole map Next: Unit 4 · Wrapping Up Multiplication and Division with Multi-digit Numbers →

Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.