Learning Map
MathematicsRatio & Proportionusually ages 11–14

Proportional Reasoning Vocabulary

Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts

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 your child is solving a problem about speed or density, can they explain what 'compound unit' means and tell the difference between direct proportion (more of one means more of the other) and inverse proportion (more of one means less of the other)?

Where this sits on the map

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

Builds on
Nothing on the map comes before this — it’s a starting point.
Proportional Reasoning Vocabularythis skill · ages 11–14
Unlocks
Compound Unitsages 11–14Compound units (speed, density) require 'compound unit', 'rate', 'speed', and 'density' as named and defined vocabulary
Dividing Quantities by Ratioages 11–13Dividing in a given ratio requires 'ratio', 'part-to-part', and 'part-to-whole' vocabulary
Ratio Notationages 11–12Ratio notation (a:b) requires 'ratio', 'simplify', and 'equivalent' as defined terms
Scale and similar shapes (age 11+)ages 11–13Scale diagrams and maps require 'scale factor' as a precisely defined term
Proportionages 12–14Direct and inverse proportion require 'direct proportion' and 'inverse proportion' as precisely understood contrasting terms
Ratio Notation and Relationshipsages 12–14Multiplicative relationships require 'multiplicative relationship', 'direct proportion', and 'rate' vocabulary

+ 4 more in Ratio & Proportion →

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

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

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

AC9M5N07medium confidenceYear 5 · Number

solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction

NSW syllabus codes & stages only

MA3-RN-03medium confidenceMathematics K-10 · Stage 3
MAO-WM-01low confidenceMathematics K-10 · Early Stage 1, Stage 1, Stage 2, Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M5N07low confidenceMathematics · Level 5 · Number strand
VC2M5A01low confidenceMathematics · Level 5 · Algebra strand
VC2M6N09low 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

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 →