Percentage Change: Increase, Decrease and Reverse Percentages

Calculate a given percentage of a whole-number amount and convert fluently between simple percentages, fractions, and decimals.

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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)
  • NA4-3
  • NA4-5
New NZC (2026)
  • NZC26-P4-NUM-FIN-K-Y9-02
  • NZC26-P4-NUM-NSO-P-Y9-19
  • NZC26-P4-NUM-FIN-K-Y9-03
  • NZC26-P4-NUM-FIN-K-Y9-04
  • NZC26-P4-NUM-NSO-P-Y10-09
  • NZC26-P4-NUM-NSO-P-Y10-10

Resources

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Terminology

    Task goals

    • Foundation: Calculate a given percentage of a whole-number amount and convert fluently between simple percentages, fractions, and decimals.
    • Proficient: Calculate percentage increase and decrease, and apply percentages to everyday money contexts such as discounts, mark-ups, and GST.
    • Excellence: Solve multi-step problems involving successive percentage changes and reverse percentage problems, finding an original amount from a changed value.

    Where this fits

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

    You are here

    Percentage Change: Increase, Decrease and Reverse Percentages

    Percentage Change: Increase, Decrease and Reverse Percentages

    Know

    Percentages can be used to proportionally increase or decrease a quantity by multiplication and can be presented as decimal multipliers.

    Statement▸
    Year 9 · Number · Financial mathematics
    NZC26-P4-NUM-FIN-K-Y9-02
    Do

    Increasing or decreasing a number by a given proportion

    Statement▸
    Year 9 · Number · Number structures and operations
    NZC26-P4-NUM-NSO-P-Y9-19

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