Mathematics Ratio & Proportionusually ages 11–12

Ratio Notation

Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations

How to tell they’ve got it

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

Write a ratio from a word problem and simplify it (e.g. 12:8 = 3:2)
Convert a ratio to equivalent fractions of a whole (e.g. 3:2 means 3/5 and 2/5)
Simplify ratios involving decimals or fractions by finding a common multiplier

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Try this together

If a smoothie recipe uses orange juice and mango juice in the ratio 3:2, can your child simplify that ratio, express it as a fraction, and work out how much of each is needed for a given total amount?

Where this sits on the map

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

Builds on

Factors, multiples, and primesages 9–11Simplifying ratios requires finding common factors — extends KS2 factor pairs and common factors

Understanding fractionsages 10–11Ratio notation and simplification extends KS2 unequal sharing and grouping with ratios

Proportional Reasoning Vocabularyages 11–14Ratio notation (a:b) requires 'ratio', 'simplify', and 'equivalent' as defined terms

Proportion Graphsages 11–14Ratio notation and simplification is complemented by double number line representations

Ratio Notationthis skill · ages 11–12

Unlocks

Dividing Quantities by Ratioages 11–13Dividing in a ratio requires understanding ratio notation and simplification first

Ratio Notation and Relationshipsages 12–14Understanding multiplicative relationships requires fluent ratio notation

Coordinates (age 12+)ages 12–14Similar shapes have sides in a constant ratio — connects to ratio notation

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

AC9M5N03medium confidenceYear 5 · Number

compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

AC9M6N03medium confidenceYear 6 · Number

apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order

AC9M5N04medium 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

NSW syllabus codes & stages only

MA3-RQF-01medium confidenceMathematics K-10 · Stage 3

MA3-RN-03low confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M5N03medium confidenceMathematics · Level 5 · Number strand

VC2M6N03medium confidenceMathematics · Level 6 · Number strand

VC2M5N07low confidenceMathematics · Level 5 · 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

Compound Unitsages 11–14 Dividing Quantities by Ratioages 11–13 One Quantity as a Fractionages 11–12 Percentages as Fractionsages 11–13

All Ratio & Proportion skills →