Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA4-4
New NZC (2026)
NZC26-P4-NUM-FIN-K-Y9-06NZC26-P4-NUM-NSO-P-Y9-20NZC26-P4-NUM-NSO-P-Y9-22NZC26-P4-NUM-NSO-P-Y9-21NZC26-P4-NUM-FIN-K-Y9-05NZC26-P3-NUM-NSO-K-Y8-07NZC26-P3-NUM-NSO-P-Y8-24NZC26-P3-NUM-NSO-P-Y8-25
Resources
Terminology
- Ratio
- Simplify a ratio
- Equivalent ratio
- Ratio notation
- Share a quantity in a given ratio
- Part-to-part ratio
- Direct proportion
Task goals
- Foundation: Write and simplify a ratio between two quantities, and share a small whole-number amount into two parts using a given ratio such as $3:2$.
- Proficient: Share an amount into three or more parts in a given ratio, convert between ratio and fraction/percentage forms, and solve simple direct proportion problems.
- Excellence: Solve multi-step contextual problems involving ratio equations, inverse proportion, and combined ratio-and-percentage scenarios (e.g. recipe scaling with a further percentage adjustment).
Where this fits
What leads into this objective, and where it goes next.
Before
Increasing and decreasing by a given percentage
Percentage Change: Increase, Decrease and Reverse Percentages
Reverse percentage
You are here
Ratios: Simplifying, Equivalent Ratios, and Sharing a Quantity
Know
Ratios can be scaled up or down or simplified.
Statement▸
Year 9 · Number · Financial mathematics
NZC26-P4-NUM-FIN-K-Y9-06
Do
Representing proportional relationships using whole-number ratios, including reducing the ratios to their simplest form
Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-20
Also under NA4-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.