Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA3-5NA4-4
New NZC (2026)
NZC26-P4-NUM-FIN-K-Y9-06NZC26-P4-NUM-NSO-P-Y9-03NZC26-P4-NUM-NSO-K-Y9-05NZC26-P3-NUM-NSO-K-Y7-18NZC26-P3-NUM-NSO-P-Y7-20
Resources
- Alpha textbook: Simplifying Fractions, Ex 7.05, pgs 109 & 110
- CorbettMaths on simplifying fractions
Terminology
- Simplest form
- Simplifying
- Highest common factor
Task goals
- Read a simplify-bar diagram to see fine equal parts bundled by a common factor into coarser simplified parts.
- Find the highest common factor (HCF) of a numerator and denominator and use it to simplify a fraction in one step.
- Recognise and justify when a fraction is already in simplest form (HCF of numerator and denominator is 1).
- Compare simplifying in one step (by the HCF) against simplifying in several smaller steps, confirming both reach the same final answer.
- Critique a partial-simplification claim where a fraction was divided by a common factor that was not the highest one.
- Distinguish simplifying (always dividing to the smallest form) from generating an equivalent fraction (which can scale either way).
Where this fits
What leads into this objective, and where it goes next.
Before
Ratios: Simplifying, Equivalent Ratios, and Sharing a Quantity
Percentage Change: Increase, Decrease and Reverse Percentages
Increasing and decreasing by a given percentage
You are here
Simplifying Fractions
Know
Ratios can be scaled up or down or simplified.
Statement▸
Year 9 · Number · Financial mathematics
NZC26-P4-NUM-FIN-K-Y9-06
Do
Finding equivalent fractions, simplifying fractions, and converting between improper fractions and mixed numbers
Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-03
Also under NA3-5:
Also under NA4-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.