Mathematics Fractionsusually ages 9–10

Understanding fractions (age 9+)

Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)

How to tell they’ve got it

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

Express 5/8 as a sum of five copies of 1/8
Show on a number line how 4/3 is built by iterating 1/3 four times
Explain why 7/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4

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Try this together

If you ask your child to show 4/5 as a sum of smaller equal fractions, can they write it out as 1/5 + 1/5 + 1/5 + 1/5?

Where this sits on the map

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

Builds on

Fractions of a wholeages 8–9Understanding a/b as a parts of size 1/b is prerequisite to understanding a/b as sum of 1/b

Understanding fractions (age 9+)this skill · ages 9–10

Unlocks

Fraction Addition Conceptsages 9–10Fraction as sum of unit fractions is prerequisite to decomposing and adding/subtracting

Mixed numbers and improper fractionsages 9–10Fraction as sum of unit fractions supports understanding improper fractions

Multiplying fractionsages 9–10a/b as sum of 1/b is prerequisite to understanding a/b as multiple of 1/b

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

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

AC9M6N05medium confidenceYear 6 · Number

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

AC9M4N03medium confidenceYear 4 · Number

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

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

VC2M3N03medium confidenceMathematics · Level 3 · Number strand

VC2M5N03low confidenceMathematics · Level 5 · Number strand

VC2M4N03low confidenceMathematics · Level 4 · 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 →