Learning Map

Understanding fractions

Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents

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 works through a maths problem involving fractions or three-digit numbers, can they switch between drawing a diagram, using a number line, and writing an equation — and explain what each one shows?

Where this sits on the map

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

Builds on
Connecting Representationsages 6–7Age 7-8 quantitative reasoning builds on age 6-7
Fractions on a number lineages 7–8Placing fractions on number lines exercises connecting representations
Numbers on a number lineages 7–8Number line representations exercise moving between diagrams and equations
Understanding fractionsthis skill · ages 7–8
Unlocks
Fractions on a number lineages 8–9Age 7-8 quantitative reasoning is prerequisite to age 8-9 level

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

AC9M3N02high confidenceYear 3 · Number

recognise and represent unit fractions including 1/2, 1/3, 1/4, 1/5 and 1/10 and their multiples in different ways; combine fractions with the same denominator to complete the whole

AC9M4N03high confidenceYear 4 · Number

find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation

AC9M3N04medium confidenceYear 3 · Number

multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies

NSW syllabus codes & stages only

MA2-PF-01high confidenceMathematics K-10 · Stage 2
MA2-AR-01medium confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M4N04medium confidenceMathematics · Level 4 · Number strand
VC2M4N03medium confidenceMathematics · Level 4 · Number strand
VC2M3N05medium confidenceMathematics · Level 3 · 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

All Mathematical Thinking skills →