Multiplying Fractions

Multiply a proper fraction by a whole number or by another simple proper fraction using visual area models or repeated addition.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA3-1
New NZC (2026)
  • NZC26-P4-NUM-NSO-P-Y9-16
  • NZC26-P4-NUM-NSO-P-Y9-12
  • NZC26-P4-NUM-NSO-P-Y9-14
  • NZC26-P4-NUM-NSO-K-Y9-04

Resources

Terminology

  • Top (referring to numerator)
  • Bottom (referring to denominator)
  • Cross-cancellation
  • Of

Task goals

  • Foundation: Multiply a proper fraction by a whole number or by another simple proper fraction using visual area models or repeated addition.
  • Proficient: Multiply two proper fractions or a fraction by a mixed number, simplifying the result including cancelling common factors before multiplying.
  • Excellence: Multiply mixed numbers and solve multi-step word problems combining multiplication of fractions with other operations.

Where this fits

What leads into this objective, and where it goes next.

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Multiplying Fractions

Multiplying Fractions

Do

Finding a fraction or percentage of a number

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-16
Do

Generalising the rule for dividing by a fraction by starting with dividing a whole number by a fraction

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-12

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