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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-Y9-16NZC26-P4-NUM-NSO-P-Y9-01NZC26-P4-NUM-NSO-P-Y9-18NZC26-P4-NUM-NSO-P-Y9-17
Resources
- Alpha textbook: One amount as a percentage of another amount, Ex 9.06, pg 148-149
- Dr Austin Maths - Working with Percentages Practice GridQuestions PDF · Answers
- CorbettMaths on forming percentagesQuestions PDF · Answers
Terminology
- Percentage
- Part
- Whole
- Total
- Rate
Task goals
- Write one quantity as a percentage of another by dividing the part by the whole and multiplying by 100.
- Convert units (mL/L, minutes/hours, g/kg) so the part and whole are in the same unit before forming the percentage.
- Read a proportion number line (an arbitrary total scaled against 0-100%) to find a missing quantity or percentage label.
- Work backwards from a percentage and either the total or the part to find the missing value.
- Recognise that two differently-sized quantities can simplify to the same percentage (equivalent ratios).
- Apply forming-percentages to multi-step, real-world contexts, including successive changes to a starting quantity.
Where this fits
What leads into this objective, and where it goes next.
You are here
Forming percentages
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
Identifying, reading, writing, representing, comparing, ordering, and converting between fractions, decimals, and percentages
Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-01
Also under NA4-3:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.