Learning Map
MathematicsRatio & Proportionusually ages 11–13

Percentages as Fractions

Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100%

How to tell they’ve got it

Tick these off as you see them — no test required.

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Try this together

If a shop says a TV is 130% of its original price, does your child understand what that means — and can they work out the new price from the original?

Where this sits on the map

Stuck here? Check the skills it builds on first. Confident? Here’s what it unlocks.

Builds on
Calculating Percentagesages 10–11Percentages as fractions/decimals extends Y6 percentage calculations
Proportional Reasoning Vocabularyages 11–14The conceptual definition of percentage as parts per hundred extends the basic percentage vocabulary to a precise definition
Percentages as Fractionsthis skill · ages 11–13
Unlocks
Multiplying fractions (age 11+)ages 11–12Fractions/percentages as operators requires understanding percentages as fractions/decimals

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 2 NSW · 3 VIC

Australian Curriculum v9 candidate

AC9M5N04high confidenceYear 5 · Number

recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents

AC9M6N07medium confidenceYear 6 · Number

solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate

AC9M6P01medium confidenceYear 6 · Probability

recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals

NSW syllabus codes & stages only

MA3-RN-03high confidenceMathematics K-10 · Stage 3
MA3-RQF-01low confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M5N04high confidenceMathematics · Level 5 · Number strand
VC2M6P01high confidenceMathematics · Level 6 · Probability strand
VC2M6N07medium confidenceMathematics · Level 6 · Number strand

These are candidate alignments generated by semantic matching — machine-suggested and unreviewed (v0.1), not official or verified mappings. For official curriculum content see australiancurriculum.edu.au, curriculum.nsw.edu.au and f10.vcaa.vic.edu.au. Don’t rely on them for registration or compliance purposes.

Nearby on the map

All Ratio & Proportion skills →