Learning Map
MathematicsFractionsusually ages 8–9

Equivalent fractions on a number line

Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions using diagrams

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 sees that 2/4 and 1/2 land on the exact same point on a number line, can they explain in their own words why those two fractions are equal?

Where this sits on the map

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

Builds on
Equivalent fractionsages 7–8Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
Fractions of a wholeages 8–9Must understand unit fractions to reason about equivalence
Fractions on a number line (age 8+)ages 8–9Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
Equivalent fractions on a number linethis skill · ages 8–9
Unlocks
Equivalent fractions (age 8+)ages 8–9Must understand equivalence before generating equivalent fractions
Equivalent fractions (age 9+)ages 9–10Understanding equivalence conceptually is prerequisite to explaining algebraically
Choosing mathematical toolsages 8–9Equivalent fractions require selecting appropriate fraction models
Fraction-Decimal Equivalentsages 8–9Equivalent fractions understanding supports recognising decimal equivalents of common fractions
Times tables (age 8+)ages 8–9Equivalent fraction patterns exercise repeated reasoning

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

AC9M4N03high confidenceYear 4 · Number

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

AC9M5N03high confidenceYear 5 · Number

compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

AC9M3N02medium 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

NSW syllabus codes & stages only

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

Victorian Curriculum 2.0 codes & levels only

VC2M5N03high confidenceMathematics · Level 5 · Number strand
VC2M4N03high confidenceMathematics · Level 4 · Number strand
VC2M3N03medium 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

Adding Fractions (Same Denominator)ages 8–9 Comparing fractions (age 8+)ages 8–9 Decimal & Percent Notationages 8–11 Decimal equivalents of tenths and hundredthsages 8–9

All Fractions skills →