Mathematics Fractionsusually ages 9–10

Fraction Addition Concepts

Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way

How to tell they’ve got it

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

Show that 3/8 = 1/8 + 1/8 + 1/8 and also 3/8 = 1/8 + 2/8
Write two different decompositions of 5/6
Use a visual model to justify a decomposition of 2 1/8 into whole-number and fraction parts

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Try this together

If your child has 7/8 of a chocolate bar and gives away 3/8, can they work out what fraction is left — and then show two different ways to split 7/8 into two parts?

Where this sits on the map

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

Builds on

Adding Fractions (Same Denominator)ages 8–9Y4 add/sub fractions same denom is prerequisite to decomposition and joining/separating

Understanding fractions (age 9+)ages 9–10Fraction as sum of unit fractions is prerequisite to decomposing and adding/subtracting

Fraction Addition Conceptsthis skill · ages 9–10

Unlocks

Adding and subtracting mixed numbersages 9–10Fraction decomposition is prerequisite to adding/subtracting mixed numbers

Adding fractions (different denominators)ages 9–10Same-denom add/sub is prerequisite to related-denom add/sub

Measurement Line Plotsages 9–10Fraction addition/subtraction supports solving problems from line plot data

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

AC9M6N05high confidenceYear 6 · Number

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

AC9M5N05medium confidenceYear 5 · Number

solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

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

MA3-RQF-01medium confidenceMathematics K-10 · Stage 3

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

Victorian Curriculum 2.0 codes & levels only

VC2M6N05medium confidenceMathematics · Level 6 · Number strand

VC2M4N03medium 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 and subtracting mixed numbersages 9–10 Adding fractions (different denominators)ages 9–10 Addition and subtraction word problemsages 9–10 Comparing Decimalsages 9–10

All Fractions skills →