NSW Early Stage 1 Mathematics: Counting to 10 & Subitising

NSW Early Stage 1 Mathematics: Counting to 10 and Subitising

For Kindergarten teachers in a NSW primary school, the first ten numbers are the most important content you will teach all year. The NSW K-10 Mathematics Syllabus (2022) places early counting, subitising, and number sense at the core of Early Stage 1 — and the NSW Department of Education's sample Scope and Sequence devotes most of Term 1 to building the counting principles, with sorting, two-dimensional shapes, and length comparison running alongside as supporting strands.

This guide is for Foundation (Early Stage 1) teachers planning the first weeks of Kindergarten maths, returning to the early years after teaching older grades, or hunting for ready-made teacher resources that align with the new K-10 syllabus expectations and the Department's published Scope and Sequence.

What "counting to 10" really means at Early Stage 1

A Kindergarten student who can rote count to ten does not necessarily understand counting. The NSW K-10 Mathematics Syllabus is explicit that Early Stage 1 students need to develop the full set of counting principles, not just the verbal sequence:

• Stable order — the count words always come in the same order: one, two, three, four, five.
• One-to-one correspondence — each object is touched, pointed to, or moved exactly once and matched to exactly one count word.
• Cardinality — the last count word names the size of the whole collection. If you ask "how many?" the child says "five", not recounts.
• Order irrelevance — the count works no matter where you start in the row of objects.
• Conservation of number — five objects spread out is still five objects when pushed together.

Alongside formal counting, Early Stage 1 students are expected to subitise — instantly recognise small quantities (typically up to five) without counting. Subitising is heavily evidenced in research and is given prominent weight in the new NSW K-10 Maths Syllabus. Think dot patterns on dice, fingers held up, ten-frame configurations, dominoes, and quick-flash slide routines.

Sequencing Term 1 Foundation maths

Most NSW Kindergarten teachers run a four-strand-per-day routine in Term 1, with short, repeated, explicit lessons. A workable Term 1 sequence pulls from the NSW Department of Education's sample Scope and Sequence:

1. Weeks 1-2 — establish counting routines, rote count to 5 then 10, oral counting songs, daily count of children at the door, beginning subitising of dot patterns 1-3.
2. Weeks 3-4 — number identification 0-5, one-to-one correspondence with concrete materials (counters, blocks, hand-claps), sorting by colour, size, and shape.
3. Weeks 5-7 — extending to 6-10, cardinality routines ("how many altogether?"), introduce subitising 4-5 with ten-frames, begin two-dimensional shape recognition (circle, square, triangle, rectangle).
4. Weeks 8-10 — comparing and ordering small collections, longer/shorter/same length comparisons with concrete objects, consolidating number 0-10 with multiple representations.

Many teachers integrate maths warm-ups into the daily morning routine — short subitising flashes, rote counting in a circle, ten-frame quick-builds. For ready-made warm-up routines see our maths warm-ups guide. Number sense routines extend across the year — see also number sense activities for additional ideas.

How counting and subitising lead into Stage 1

The NSW K-10 Mathematics Syllabus is built on a continuum: every skill at Early Stage 1 has a clear next step in Stage 1. Strong counting and subitising at Foundation directly enables:

• Number facts to 10 — mental strategies such as part-part-whole, near doubles, and ten-frames build on confident subitising.
• Place value — once cardinality is secure, students start representing numbers as ones and tens in Year 1, with place value activities extending across Year 1 and Year 2.
• Addition and subtraction — flexible counting strategies underpin all early addition and subtraction activities once students enter Stage 1.

Shape and length work begun at Early Stage 1 also continues — see the broader shapes activities for 2D and 3D guide for resources that span Foundation through Year 2.

Concrete-first, then visual, then symbolic

The single most useful planning principle for Early Stage 1 maths is the CPA progression — Concrete, Pictorial, Abstract. Kindergarten teachers should plan for almost every concept to start with hands-on materials: counters, unifix, multilink, real objects from around the room, fingers. Only after concrete experience should students see pictures of those objects, and only after pictures should they meet a written numeral or equation.

A short Early Stage 1 maths block typically follows: a 2-3 minute warm-up (subitising flash, count chant, calendar count), a 10-minute explicit teaching segment with concrete materials, a 10-minute small-group rotation (one teacher-led, two independent activities), and a 3-minute share or reflection. Repeat this structure daily and the counting principles embed quickly.

The carousels below pull together teacher-created Early Stage 1 maths resources — many bundle ten-frames, dot pattern cards, number-formation pages, sorting mats, and length comparison strips into single classroom-ready packages.