Mathematics Probabilityusually ages 9–10

Probability as a Fraction

Describe the probability of simple equally-likely outcomes using unit fractions: the probability of rolling a 6 on a fair die is 1/6, flipping heads is 1/2, picking one specific colour from three equally represented colours is 1/3; place these fractional probabilities on a 0-to-1 probability scale

How to tell they’ve got it

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

State that the probability of rolling a 6 on a fair die is 1/6 and explain why
Express the probability of picking a red card from a standard deck as 26/52 or 1/2
Write the probability of a simple event as a fraction: favourable outcomes over total outcomes

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Try this together

If your child flips a fair coin, do they know the probability of getting heads is 1/2 — and can they express similar simple probabilities as fractions and place them on a 0-to-1 scale?

Where this sits on the map

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

Builds on

Unit fractionsages 7–8Expressing probabilities as unit fractions (1/6, 1/2, 1/3) requires prior knowledge of unit fractions from the Fractions domain

Equally Likely Outcomesages 9–10Using fractions to represent probability only makes sense for equally-likely outcomes, so the equally-likely concept must come first

Simple Chance Experimentsages 9–10Practical experiment experience provides the intuitive grounding that makes fractional probability representation meaningful

Probability as a Fractionthis skill · ages 9–10

Unlocks

The 0-to-1 Probability Scaleages 10–11The formal 0-1 probability scale formalises the fractional representation of equally-likely outcomes introduced at age 9-10

solid = must come firstdashed = helps

Curriculum alignment

Candidate matches to official curriculum codes — machine-suggested, unreviewed (v0.1).

Show candidate curriculum codes · 3 ACARA · 1 NSW · 1 VIC

Australian Curriculum v9 candidate

AC9M6P01medium confidenceYear 6 · Probability

recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals

AC9M5P01low confidenceYear 5 · Probability

list the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely

AC9M3P01low confidenceYear 3 · Probability

identify practical activities and everyday events involving chance; describe possible outcomes and events as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’ explaining reasoning

NSW syllabus codes & stages only

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

Victorian Curriculum 2.0 codes & levels only

VC2M6P01medium confidenceMathematics · Level 6 · Probability 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

Equally Likely Outcomesages 9–10 Likelihood Languageages 9–10 Ordering Likelihoodsages 9–10 Simple Chance Experimentsages 9–10

All Probability skills →