AC9M1A02 · YEAR 1 · ALGEBRA

Repeating Patterns

ACARA v9 CONTENT DESCRIPTION “recognise, continue and create repeating patterns with numbers, symbols, shapes and objects, identifying the repeating unit”
Builds on: Repeating patterns (Foundation, AC9MFA01) · Skip-Counting Patterns (AC9M1A01). New this year: naming the repeating unit itself, and carrying one structure across shapes, sounds and numbers.

The chunk that comes back

Repeating patterns are everywhere a Year 1 child looks: the chorus of a song, bunting strung across a birthday party, tiles marching down the footpath, the beat of a skipping rhyme. Last unit’s patterns grew by a constant jump; these ones loop. And every loop hides the same secret — somewhere inside is one small chunk, the repeating unit, stamped over and over without change. The curriculum asks children to recognise, continue and create repeating patterns, but the skill underneath all three verbs is the one it names last: identifying the unit. Find the chunk and the pattern holds no more surprises; miss it and a child is only echoing sounds.

Find the chunk
Cut the strip into equal pieces. The right cut makes every piece identical.
How big is the chunk that repeats? Choose a size.

Name the unit, own the pattern

Saying a pattern aloud — circle, triangle, triangle, circle, triangle, triangle — is not the same as knowing it. The real test is whether you can name the chunk. Cut the strip into pieces of the right size and every piece is identical; cut it wrongly and the pieces argue with each other. Sometimes a bigger cut also matches — two units taped together still repeat — so mathematicians agree that the unit is the smallest stamp that works.

The stamp machine
Choose a chunk, then let repetition do the rest.
Your unit has 2 shapes. Now stamp it.

Patterns are stamped, not drawn

Once the unit exists, creating a pattern is almost embarrassingly easy: pick a chunk, then stamp it. Two shapes or four, plain or fancy — all the artistry lives in the unit, and repetition does the rest. Children who build patterns this way stop seeing a long mysterious string and start seeing one small decision, repeated. That shift, from string to stamp, is the whole point of this unit.

What comes next?
The answer is not a guess. Find where the empty slot sits inside the unit.
Which shape comes next? The unit knows.

Next depends on where you stand

Continuing a pattern is really a question of position: where are you inside the unit right now? After clap, clap comes stomp — not by magic, but because the unit is three beats long and you are standing on its last step. Counting into the unit turns what-comes-next from a hopeful guess into a small calculation, which is exactly the habit this strand is trying to grow.

Same skeleton
Shapes, body moves and numbers can all wear one structure.
Press Step the beat — the same position lights up in every row.

The skeleton beneath the clothes

Here is the quietly big idea: clap-clap-stomp, red-red-blue and 1-1-2 are the same pattern. The surfaces differ — sound, colour, number — but the skeleton underneath is identical. Mathematicians call this structure, and noticing it is the true beginning of algebra: caring about the shape of the rule rather than the stuff the rule is made of. A child who can translate a clapping pattern into shapes has already crossed that bridge.

Fix the line
Washing on the backyard clothesline follows a pattern — but one item is wrong.
One thing on the line breaks the pattern. Tap the odd one out.

A broken pattern shouts

Knowing the unit also tells you when something is wrong. On the clothesline in the backyard, shirt-sock-sock should march steadily down the wire — so the moment a shirt turns up where a sock belongs, the pattern fairly shouts about it. Spotting and fixing the odd one out is the surest proof a child truly holds the unit, because you cannot notice a break in a rule you never knew. Hunt for breaks beyond the page, too: a missing paver in the footpath, a dropped beat in a clapping game — every backyard holds a pattern waiting to be checked.

Quick self-check
1. Pattern: ● ▲ ▲ ● ▲ ▲ ● ▲ ▲. What is the repeating unit?
2. clap clap stomp clap clap stomp clap clap ... What comes next?
3. A pattern repeats square circle circle circle. How long is its unit?
4. Red blue red blue has the same skeleton as...
5. Which one is a repeating pattern?