Foundation Maths: Every Australian Curriculum Code, Explained

Foundation Maths in the Australian Curriculum is 12 content descriptions. That is the smallest code set of any year level, and it is also the year where the most damage gets done, because almost all of it is invisible. A child who leaves Foundation able to recite numbers to 20 but unable to say that five is three and two will struggle in Year 2 and nobody will be able to say why.

This is a working guide to all 12 codes: what each strand is really asking for, the three descriptors that predict everything downstream, a term-by-term order, and a set of five-minute checks that tell you whether a child is actually ready for Year 1.

What Foundation Maths is actually for

Every other year of primary maths is about extending something. Foundation is about installing the two ideas everything else runs on: that a number names a quantity rather than a position in a chant, and that quantities come apart and go back together. Everything in the Number strand is one of those two ideas wearing a different hat.

The trap is that rote counting looks like mastery. A four-year-old who counts to 20 sounds like they have understood numbers, and a four-year-old who counts to 7 sounds like they have not. Both impressions can be wrong. Counting fluency and quantity understanding are separate skills, and Foundation is where the second one gets built or missed.

The year at a glance

Foundation has no Probability strand. It appears from Year 3 (AC9M3P01). Half the year’s codes are Number, which is the correct weighting: if Number is secure, the other four strands are largely oral vocabulary work that primary children pick up quickly.

Reading the codes

Foundation codes look slightly different from every other year. From Year 1 onwards the pattern is AC9 + M + year + strand + number, so AC9M1N01 is Year 1 Number. At Foundation the year is written as F inside the strand block: AC9MFN01 is Foundation Number, AC9MFSP01 is Foundation Space, AC9MFST01 is Foundation Statistics. If a search for “AC9M0N01” or “AC9MF01” returns nothing, that is why.

Strand by strand

Number (AC9MFN01 to AC9MFN06)

The six Number descriptions are best read as two pairs and a pair of applications. AC9MFN01 and AC9MFN03 are the counting pair: naming, representing and ordering numbers including zero to at least 20, then quantifying and comparing collections to at least 20 with reasoning. AC9MFN01 is about the numbers, AC9MFN03 is about the collections, and the second is much harder than the first.

AC9MFN02 and AC9MFN04 are the structure pair: subitising to 5, and partitioning and combining collections up to 10 using part-part-whole relationships. These two do more for later arithmetic than any amount of counting practice, and they are the two most often squeezed out by it.

AC9MFN05 and AC9MFN06 are the applications: representing practical situations involving addition, subtraction and quantification, and practical situations involving equal sharing and grouping. Note what the wording does not say. There are no symbols, no number sentences and no recorded equations at Foundation. These are acted out with materials. Introducing the plus sign here is not acceleration, it is skipping the representation the descriptor asks for.

Algebra (AC9MFA01)

One descriptor: recognise, copy and continue repeating patterns represented in different ways. The phrase doing the work is in different ways. A child who can continue red blue red blue with blocks has not met the descriptor until they can also do it with claps, with movements, with sounds and with drawings, and ideally recognise that all of those are the same pattern. Pattern is where algebraic thinking starts, and transferring a pattern across media is the actual skill.

Measurement (AC9MFM01 to AC9MFM02)

AC9MFM01 covers identifying and comparing attributes of objects and events, including length, capacity, mass and duration, using direct comparison and communicating reasoning. Direct comparison means putting two things side by side, not measuring either of them. Rulers and units are Year 1 (AC9M1M02, informal units). The Foundation job is the comparative vocabulary: longer, shorter, heavier, lighter, holds more, takes longer.

AC9MFM02 covers sequencing days of the week and times of the day and connecting them to familiar events. It is calendar and routine language, not clock reading.

Space (AC9MFSP01 to AC9MFSP02)

AC9MFSP01 asks students to sort, name and create familiar shapes and to recognise and describe them within objects in the environment, giving reasons. The reasoning clause is what separates this from a naming exercise: “that is a triangle because it has three straight sides” is the target, not “that is a triangle”.

AC9MFSP02 is positional language: describing where they and objects are in relation to other people and objects. Under, behind, between, next to. It is almost entirely oral and it is easily covered inside other lessons and everyday routines.

Statistics (AC9MFST01)

Collecting, sorting and comparing data represented by objects and images, in response to given investigative questions about familiar situations. In practice: ask the class a question, line up objects or pictures to answer it, and talk about which column has more. Note given investigative questions. Students posing their own questions comes later.

The three codes that decide Year 2

AC9MFN02: subitising to 5

Subitising is recognising how many are there without counting. It is not a party trick or a speed exercise, it is the mechanism that later lets a child see 6 and 4 inside 10 instead of counting to it.

The misconception: that counting is the goal and subitising is a shortcut for children who are already good at counting. It is the reverse. Subitising is the earlier and more predictive skill.

What you will see: flash four dots for one second and the child says “wait” and starts counting fingers, or counts the dots one by one after the card has gone. That is not subitising, whatever the final answer is.

The fix: one minute a day of flashed dot patterns, always brief enough that counting is impossible. Vary the arrangement (dice patterns, random scatters, ten-frames) so the child is recognising quantity rather than memorising one picture.

AC9MFN03: cardinality, not counting

The descriptor asks students to quantify and compare collections to at least 20 and explain or demonstrate reasoning. The hidden requirement is cardinality: knowing that the last number you said is how many there are.

The misconception: that a child who counts accurately understands quantity. Counting is a verbal routine and can be learned entirely separately from meaning.

What you will see: the child counts seven counters correctly, you ask “so how many are there?”, and they count again from the start. Recounting is the clearest possible signal that the count did not produce a quantity in their head. A second signal: they count correctly, then you push the counters further apart and ask again, and the answer changes.

The fix: ask “how many?” after every count until the answer comes without recounting, and count the same collection in different arrangements and orders so the total visibly does not change.

AC9MFN04: part-part-whole to 10

Partitioning and combining collections up to 10, recognising and naming the parts. This is the single highest-value descriptor in Foundation, because it is the direct prerequisite for AC9M1N04 (adding and subtracting within 20 using part-part-whole knowledge to 10) and for every mental strategy after that.

The misconception: that this is early addition and therefore needs symbols. It is not. It is the recognition that a quantity is made of parts, and it is built entirely with materials and talk.

What you will see: a child who can count to 20 but, shown five counters split into three and two, has to count all five to know there are five. They are not seeing parts inside a whole.

The fix: the same small number, broken every way it goes, every day for a week, then the next number. Five is four and one, three and two, two and three, one and four. Ten-frames, fingers, and shaking counters in a cup and spilling them. The goal is that a child can finish “seven is four and …” without counting.

What students need to arrive with

Foundation has no prior year of codes, so the prerequisites are developmental rather than curricular. The ones that matter are oral counting to about 10 in a stable order, one-to-one correspondence when touching objects, the vocabulary of more and less, and the fine motor control to move materials around. Children arrive with wildly different amounts of this, and the gap on day one is not predictive of much. What is predictive is whether the part-part-whole work lands by the end of the year.

What this year sets up

Every Foundation descriptor has a visible Year 1 successor:

• AC9MFN01 and AC9MFN03 (to 20) become AC9M1N01 and AC9M1N03 (to at least 120).
• AC9MFN04 (part-part-whole to 10) becomes AC9M1N02 (partitioning one- and two-digit numbers) and AC9M1N04 (adding and subtracting within 20).
• AC9MFN05 and AC9MFN06 become AC9M1N05 and AC9M1N06, where mathematical modelling and simple money transactions appear.
• AC9MFA01 splits into AC9M1A01 (pattern sequences formed by skip counting) and AC9M1A02 (repeating patterns with an identified repeating unit).
• AC9MFM01 (direct comparison) becomes AC9M1M02, where informal units and the idea that units must be uniform arrive.

The jump in the Number strand is the large one. A child who leaves Foundation without AC9MFN04 meets AC9M1N04 with nothing to build on and starts counting on fingers as a permanent strategy.

A term-by-term order

1. Term 1: vocabulary and sorting. AC9MFM01 (comparing attributes directly), AC9MFSP01 (sorting and naming shapes), AC9MFSP02 (positional language), and subitising to 3 from AC9MFN02. Almost all oral, low stakes, and it builds the language every later lesson depends on.
2. Term 2: counting with meaning. AC9MFN01 and AC9MFN03 to 10, pushing hard on cardinality, subitising extended to 5 (AC9MFN02), and AC9MFA01 patterns across different media.
3. Term 3: parts and wholes. AC9MFN04 as the centrepiece, one number at a time, with AC9MFN05 acting out addition and subtraction situations using materials. Add AC9MFM02 (days and times of day) as the light second thread.
4. Term 4: extend and apply. Counting and comparing extended to 20 (AC9MFN01, AC9MFN03), AC9MFN06 equal sharing and grouping, and AC9MFST01 data collection, which pulls together sorting, counting and comparing in one activity.

The reason part-part-whole sits in Term 3 rather than Term 4 is that it needs a full term of daily repetition and you want Term 4 available to consolidate it, not to introduce it.

Five checks before Year 1

• Flash 4 dots for one second. How many? Counting or hesitation means AC9MFN02 is not secure.
• Count 7 counters, then ask how many. Recounting means AC9MFN03 cardinality is missing.
• Show 5 counters split 3 and 2. How many altogether? Counting all five means AC9MFN04 has not landed. This is the most important of the five.
• Clap a pattern and ask them to continue it. Failing with claps after succeeding with blocks means AC9MFA01 is media-bound.
• Two pencils, which is longer, and how do you know? No reasoning means AC9MFM01 is a naming exercise rather than a comparison.

Five minutes, one child at a time, and each failure names a specific piece of Term 3 or Term 4 to repeat rather than a vague sense that a child is behind.

Recording the alignment

For a class program or a homeschool registration portfolio, record the code on the activity as you go. “Counting games” tells a reviewer nothing; “AC9MFN04, part-part-whole to 10 with ten-frames, 12 May” answers the question before it is asked. Our guides to which curriculum your state uses and state-by-state registration requirements cover which code set applies to you and what reviewers ask for.

Foundation is also the year where the wrapper matters most, because a five-year-old will do twenty minutes of counting dinosaurs and about four minutes of counting counters. Sprout Lessons builds an interactive lesson from any of these codes, pitched at Foundation and wrapped in whatever the child is currently obsessed with, with the AC9 code recorded in the footer. Try it free.

Australian Curriculum content descriptions are © ACARA and licensed under CC BY 4.0. Quoted here unmodified. ACARA does not endorse this product. Always verify against the current content descriptions and achievement standards at australiancurriculum.edu.au.

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