Finding fractions of quantity

Find each fraction of the quantity.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-3
New NZC (2026)
  • NZC26-P4-NUM-NSO-P-Y9-16
  • NZC26-P3-NUM-NSO-K-Y7-20
  • NZC26-P3-NUM-NSO-P-Y7-28
  • NZC26-P3-NUM-NSO-P-Y8-19

Resources

Terminology

  • fraction
  • quantity
  • of
  • numerator
  • denominator

Task goals

  • Find a unit fraction of a whole number, e.g. $\dfrac{1}{4}$ of $20$, by dividing by the denominator.
  • Find a non-unit fraction of a quantity, e.g. $\dfrac{3}{8}$ of $32$, by dividing by the denominator then multiplying by the numerator.
  • Recognise that finding a fraction of a quantity is the same calculation as multiplying the quantity by that fraction.
  • Solve a word problem that asks for a fraction of an amount, such as a discount or a share of a class.
  • Solve a multi-step problem that finds a fraction of a remaining amount after some has already been used.
  • Check whether a calculated fraction of a quantity is a sensible answer, and compare different fractions of the same quantity.

Where this fits

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

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Finding fractions of quantity

Finding fractions of quantity

Do

Finding a fraction or percentage of a number

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

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