Learning Map

Fractions, Decimals & Percentages

Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication; apply angle facts to find unknowns; use properties of regular polygons systematically

How to tell they’ve got it

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

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Try this together

When your child notices that fractions, decimals, and percentages are just different ways of writing the same thing, do they use that understanding to switch between them fluidly when it makes a calculation easier?

Where this sits on the map

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

Builds on
Using Mathematical Structureages 8–9Age 8-9 using structure is prerequisite to age 9-10 level
Spotting Patternsages 7–8Exploiting relationships between fractions, decimals and percentages requires pattern recognition across representations
Angle Sum Rulesages 9–10Angle facts (360°, 180°) are structural tools for finding unknowns
Factors, multiples, and primesages 9–11Factor pairs as structural tool for simplifying multiplication
Fractions, Decimals & Percentagesthis skill · ages 9–10
Unlocks
Order of operations (age 10+)ages 10–11Y6 structural reasoning extends Y5 structure use

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

AC9M6N06low confidenceYear 6 · Number

multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts; using estimation and rounding to check the reasonableness of answers

AC9M6N04low confidenceYear 6 · Number

apply knowledge of place value to add and subtract decimals, using digital tools where appropriate; use estimation and rounding to check the reasonableness of answers

NSW syllabus codes & stages only

MA3-RN-03medium confidenceMathematics K-10 · Stage 3
MA3-2DS-02low confidenceMathematics K-10 · Stage 3

Victorian Curriculum 2.0 codes & levels only

VC2M5N04medium confidenceMathematics · Level 5 · Number strand
VC2M6N07low confidenceMathematics · Level 6 · Number strand
VC2M5M04low 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

All Mathematical Thinking skills →