Mathematics Ratio & Proportionusually ages 11–13

Scale and similar shapes (age 11+)

Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa

How to tell they’ve got it

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

Calculate a real-life distance from a map measurement using a given scale (e.g. 1:25,000)
Draw a scale diagram of a room using a chosen scale factor
Convert between map distance and actual distance in problems involving different units

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Try this together

If your child looks at a map where 1 cm = 50 km, can they work out the real distance between two cities that are 4.5 cm apart on the map?

Where this sits on the map

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

Builds on

Scale and similar shapesages 10–11Scale diagrams and maps extend KS2 scale-factor work with similar shapes

Proportional Reasoning Vocabularyages 11–14Scale diagrams and maps require 'scale factor' as a precisely defined term

Proportion Graphsages 11–14Scale diagrams use proportional relationships that can be represented on double number lines

Unit Conversionsages 11–12Map scale problems often require converting units (e.g. cm to km)

Scale and similar shapes (age 11+)this skill · ages 11–13

Unlocks

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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

AC9M5M01low confidenceYear 5 · Measurement

choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measure

AC9M6M01low confidenceYear 6 · Measurement

convert between common metric units of length, mass and capacity; choose and use decimal representations of metric measurements relevant to the context of a problem

AC9M5M02low confidenceYear 5 · Measurement

solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units

NSW syllabus codes & stages only

MA3-GM-02low confidenceMathematics K-10 · Stage 3

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

Victorian Curriculum 2.0 codes & levels only

VC2M6M01low confidenceMathematics · Level 6 · Measurement strand

VC2M5M01low confidenceMathematics · Level 5 · Measurement 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 →