Mathematics Ratio & Proportionusually ages 11–14

Proportion Graphs

Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios generate straight lines through the origin when graphed

How to tell they’ve got it

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

Plot pairs of proportional values on a coordinate grid and draw the straight line through the origin
Explain why a directly proportional relationship always passes through (0,0)
Read a proportion graph to find an unknown value — e.g. 'If 3 kg costs £6, how much does 5 kg cost?'

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Try this together

If your child is comparing the cost of buying different numbers of cinema tickets, can they sketch a proportion graph — a straight line through zero — and use it to read off the cost of any number of tickets without recalculating each time?

Where this sits on the map

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Builds on

Nothing on the map comes before this — it’s a starting point.

Proportion Graphsthis skill · ages 11–14

Unlocks

Proportionages 12–14Direct and inverse proportion with graphical representations requires reading and plotting proportion graphs (y = kx through origin)

Ratio Notation and Relationshipsages 12–14Understanding multiplicative relationships as ratios or fractions is reinforced by the double number line and proportion graph

Compound Unitsages 11–14Compound units like speed and density involve proportional relationships visible on proportion graphs

Ratio Notationages 11–12Ratio notation and simplification is complemented by double number line representations

Scale and similar shapes (age 11+)ages 11–13Scale diagrams use proportional relationships that can be represented on double number lines

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 · 2 VIC

Australian Curriculum v9 candidate

AC9M5N03low 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

AC9M6N03low 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

AC9M6A01low confidenceYear 6 · Algebra

recognise and use rules that generate visually growing patterns and number patterns involving rational numbers

NSW syllabus codes & stages only

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

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

Victorian Curriculum 2.0 codes & levels only

VC2M5ST02low confidenceMathematics · Level 5 · Statistics strand

VC2M5N03low 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 →