Learning Map
MathematicsFractionsusually ages 10–11

Dividing by Fractions

Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and division to explain why the quotient is larger than the dividend

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 you have 4 metres of ribbon and each bow needs 1/5 of a metre, can your child work out how many bows you can make — and explain why the answer is bigger than 4?

Where this sits on the map

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

Builds on
Multiplying fractions (age 10+)ages 10–11Whole ÷ unit-fraction uses inverse relationship with fraction multiplication
Dividing fractions (unit fractions)ages 10–11Understanding unit-fraction ÷ whole helps contrast with whole ÷ unit-fraction
Fractions of a whole (age 10+)ages 10–11Understanding fraction as division supports reasoning about quotients
Dividing by Fractionsthis skill · ages 10–11
Unlocks
Dividing unit fractions and whole numbersages 10–11Word problems require whole ÷ unit-fraction skill

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

AC9M5N07medium confidenceYear 5 · Number

solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction

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

AC9M5N03medium 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

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

VC2M5N07medium confidenceMathematics · Level 5 · Number strand
VC2M5A01medium confidenceMathematics · Level 5 · Algebra strand
VC2M5N03medium confidenceMathematics · Level 5 · 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 Fractions skills →