Learning Map

Understanding fractions (age 10+)

Move fluently between real-world situations, diagrams, coordinate grids, algebraic expressions, tables, and symbolic equations involving fractions, ratio, and algebra, explaining connections between representations

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 is working on an algebra or ratio problem, can they move fluidly between a graph, a table of values, a written equation, and a real-world story — explaining how each representation shows the same relationship?

Where this sits on the map

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

Builds on
Fractions on a number line (age 9+)ages 9–10Y6 representation fluency extends Y5 multi-representation skills
Line graphs (age 10+)ages 10–11Pie chart/line graph interpretation connects to representation fluency
Number Pattern Relationshipsages 10–11Coordinating two pattern sequences on a coordinate grid is key Y6 content
Understanding fractions (age 10+)this skill · ages 10–11
Unlocks
Nothing on the map depends on this yet.

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

AC9M4N03medium confidenceYear 4 · Number

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

AC9M5A01medium confidenceYear 5 · Algebra

recognise and explain the connection between multiplication and division as inverse operations and use this to develop families of number facts

AC9M6N05medium confidenceYear 6 · Number

solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions

NSW syllabus codes & stages only

MA3-RQF-01medium confidenceMathematics K-10 · Stage 3
MA2-PF-01medium confidenceMathematics K-10 · Stage 2

Victorian Curriculum 2.0 codes & levels only

VC2M5N03medium confidenceMathematics · Level 5 · Number strand
VC2M4N03medium confidenceMathematics · Level 4 · Number strand
VC2M6N07medium 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

All Mathematical Thinking skills →