Australian Curriculum · Foundation

Foundation Maths: What Should My Child Know?

By the Nousli team

The first year of school is a lot. New routine, new people, new expectations — and somewhere in the middle of all that, maths. Foundation year (called Kindergarten in NSW and ACT, Prep in Victoria, Queensland and Tasmania, and Reception in South Australia) is where children begin building the number sense that everything else in maths will stand on. This guide explains what the Australian Curriculum actually expects at this stage — and what it looks like at home.

What the Australian Curriculum expects in Foundation maths

Foundation maths is not about drilling sums. It's about whether children understand what numbers actually mean — and that distinction matters more than it sounds. A child who can recite "one, two, three, four, five" isn't necessarily counting. Counting, in the meaningful sense, means understanding that each number word corresponds to exactly one object, and that the last number you say tells you how many there are altogether. Building that understanding is the real work of Foundation year.

The Australian Curriculum v9 organises Foundation maths across five strands:

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Number

Counting collections to at least 20 with one-to-one correspondence. Reading, writing and ordering numbers to at least 20. Subitising — recognising the number of objects in a small collection (up to 5) without counting. Comparing collections to say which has more, fewer, or the same. Partitioning numbers within 10 into two parts (for example, 7 as 3 and 4, or 5 and 2). Early ideas of adding to and taking from a collection.

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Algebra (Patterns)

Recognising, copying and continuing simple repeating patterns using objects, sounds or movements — for example, red, blue, red, blue. Sorting and classifying collections of objects by a shared attribute (colour, shape, size) and explaining how the sorting was done.

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Measurement

Comparing objects directly by length, mass and capacity using language like longer, shorter, heavier, lighter, holds more, holds less. No formal units at this stage — comparisons are made by placing objects side by side or hefting them. Sequencing daily events and times of day (morning, lunchtime, afternoon, night). Naming and ordering the days of the week.

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Space (Geometry)

Naming and sorting familiar 2D shapes (circle, square, triangle, rectangle) and 3D objects (sphere, cube, cylinder, cone). Describing position and movement using everyday language: inside, outside, above, below, next to, beside, in front of, behind, over, under.

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Statistics

Sorting objects or pictures into groups based on a shared feature. Discussing what the groups show — which has more, which has fewer. Creating simple representations of sorted data using physical objects or pictures.

Source: Australian Curriculum v9.0 (ACARA), Mathematics — Foundation Year.

The skill most parents haven't heard of: subitising

Subitising is the ability to look at a small collection of objects and know how many there are — without counting. Hold up three fingers and a child who can subitise just knows it's three. They don't need to count.

It sounds simple. It's not a trivial skill. Children who can subitise efficiently build stronger number sense earlier, because they start to see numbers as quantities rather than sequences of words. The curriculum expects children to subitise collections up to 5 by the end of Foundation year.

The test at home is straightforward: briefly show your child a small group of objects — say, four blocks — then cover them and ask how many. If they need to count, subitising isn't automatic yet. That's worth knowing.

Questions worth asking yourself

The gap between curriculum language and what you actually see at home can be wide. These questions are more specific than they look — sit with them before you answer:

When your child counts a group of toys, do they touch or point to each one — or do they recount objects they've already counted?
If you ask "how many altogether?" after they finish counting, do they say the last number — or start counting again from one?
Can they look at a small plate of grapes — three or four — and just say how many without counting?
If you give them 6 blocks and ask them to split it into two groups, can they do it in more than one way?
When you ask which pile has more — without counting — do they have a strategy, or does it feel like guessing?
Do they know today is Wednesday because they understand days of the week as a sequence — or just because they've been told?

The third and fifth questions catch the most parents off guard. Number recognition and subitising develop separately. A child can read the numeral "4" on a page without being able to quickly recognise a group of four objects. Both matter.

What to look for in Foundation year

Foundation is the wrong time to panic about gaps — the whole point of the year is to build foundations. But some patterns are worth noticing early, because they shape what Year 1 will feel like:

What it looks like	What it usually signals
Counts to 20 fluently but recounts the whole group when asked "how many?" again	Rote counting without understanding cardinality — the idea that the last number said names the total
Counts out 5 objects correctly but loses track when the objects are moved around	Conservation of number not yet developed — still believes that rearranging objects changes how many there are
Can copy a pattern (red, blue, red, blue) but can't continue it or say what comes next	Pattern recognition without understanding the rule — working from memory rather than structure
Struggles to say which of two groups has more unless they count both	Comparison and estimation strategies are still developing — normal in early Foundation, worth monitoring later in the year
Can name shapes in a picture but doesn't recognise a tilted square as a square	Shape recognition tied to one orientation — needs more exposure to shapes in different positions

What Foundation maths is building towards

Year 1 is when maths starts to feel more formal. Children move from comparing collections to using numbers to describe them precisely. They begin working with two-digit numbers, learn to tell time, and start building addition and subtraction facts. All of that becomes significantly easier when certain Foundation skills are solid.

The two that matter most going into Year 1 are counting with purpose — understanding that the last number you say answers the "how many?" question — and the ability to split a number into parts. A child who knows that 6 can be 4 and 2, or 5 and 1, or 3 and 3, is already thinking about addition. A child who only knows 6 as a label will find those same ideas much harder to grasp in Year 1.

You don't need to rush any of this. The goal for Foundation is depth, not speed.

Maths Learning Roadmap

This article covers Foundation maths broadly.
The Maths Learning Roadmap shows you where your child actually sits.

A 15-minute parent questionnaire mapped to the Australian Curriculum. You get a personalised strand-by-strand report — and one specific activity tailored to your child's biggest opportunity area.

Build your Foundation Maths Roadmap · $19 AUD →

No app. No login. Works on your phone.

Frequently asked questions

Questions Foundation parents ask most often:

My child can count to 100. Does that mean they're ahead in maths?

Counting to 100 by rote and understanding numbers to 20 are different skills. A child who can recite to 100 may still be working through what it means to count a collection accurately, or how to split a number into parts. Rote counting is a starting point, not a destination.

Is my child behind if they still use their fingers to count?

In Foundation year, using fingers is completely expected. It's a legitimate mathematical tool at this stage. The goal by the end of Foundation is to be counting with one-to-one correspondence — one number word per object — and to understand what the final count means. Fingers help with that.

How much maths practice should a Foundation child be doing at home?

Informal, embedded practice is more valuable than structured worksheets at this age. Counting out cutlery, comparing which container holds more, noticing shapes in the environment — these build genuine number sense. If your child enjoys number games or puzzles, 10 minutes a few times a week is plenty. Resistance is usually a signal to change the activity, not push harder.

My child's school calls it Kindergarten, not Foundation. Is the curriculum the same?

Yes. "Foundation" is the name used in the Australian Curriculum. States and territories use their own names — Kindergarten in NSW and ACT, Prep in Victoria, Queensland and Tasmania, Reception in South Australia, Pre-primary in Western Australia, Transition in the Northern Territory. The year level is the same, and all states align their syllabuses to the national curriculum framework.

When should I be concerned about my Foundation child's maths progress?

By mid-Foundation year, most children are counting collections to 10 accurately and starting to subitise small groups. By end of year, they should be working confidently with numbers to 20 and partitioning small numbers into parts. If your child is consistently struggling with counting to 10 with accuracy by Term 3, it's worth raising with their teacher — not to alarm, but to understand what support is already in place.