Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-4NA4-4
New NZC (2026)
NZC26-P4-NUM-FIN-K-Y10-01NZC26-P4-NUM-NSO-P-Y10-11NZC26-P4-NUM-FIN-K-Y9-07NZC26-P4-NUM-FIN-K-Y9-06NZC26-P4-NUM-NSO-P-Y9-20NZC26-P4-NUM-NSO-P-Y9-22NZC26-P4-NUM-NSO-P-Y9-21NZC26-P3-NUM-NSO-P-Y7-32
Resources
- Dr Austin Maths - Solving Ratio Problems Practice GridQuestions PDF · Answers
- Dr Austin Maths - Mixed Ratio and Proportion Revision Practice GridQuestions PDF · Answers
- Dr Austin Maths - Best Buys Practice GridQuestions PDF · Answers
- CorbettMaths - Speed, Distance, Time worksheetQuestions PDF · Answers
Terminology
- Simplest form
- Equivalent ratio
- Unitary method
- Per unit
- Better value
Task goals
- Foundation: Write and simplify ratios in the form a:b, and identify equivalent ratios using concrete diagrams or objects.
- Proficient: Divide a given quantity into two or three parts according to a stated ratio, and calculate simple rates such as speed or price per item.
- Excellence: Solve multi-step problems involving changing or compound ratios and compare rates expressed in different units, justifying which is the better value or faster option.
Where this fits
What leads into this objective, and where it goes next.
You are here
Ratios and Rates: Simplifying, Dividing and Comparing
Know
A rate proportionally compares two quantities that have different units of measure; when working with rates, 'per' means 'for every' in day-to-day contexts.
Statement▸
Year 9 · Number · Financial mathematics
NZC26-P4-NUM-FIN-K-Y9-07
Know
Ratios can be scaled up or down or simplified.
Statement▸
Year 9 · Number · Financial mathematics
NZC26-P4-NUM-FIN-K-Y9-06
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.