AC9M1A02 • Year 1 Maths

Repeating Patterns

A repeating pattern is made from a unit that repeats again and again. The unit is the smallest part that repeats.

Learning goals

A repeating pattern is made from a unit that repeats again and again. The unit is the smallest part that repeats.

Learning routine: Look → Find unit → Continue → Create → Explain

Success looks like

  • Find repeating unit
  • Continue patterns
  • Create patterns
  • Use shapes/numbers/symbols
  • Explain rule
Concept model and worked application

Circle the repeating unit

red bluered bluered blue

The repeating unit is red blue, not the whole long row.

Use the unit to predict what comes next

△ ○ □△ ○ □next: △

Once the unit is known, you can continue or create the pattern.

Explain your thinking: Say what each part of the model represents, then explain why the answer or conclusion follows.

Find the smallest unit that repeats

Identify a repeating unit and use it to continue or create a pattern.

Worked example

The pattern is clap, clap, tap, clap, clap, tap. What repeats?

  1. Look for a block of actions that starts again in the same order.
  2. The smallest repeating block is clap, clap, tap. It appears twice.
  3. The next three actions are clap, clap, tap. Change the actions to circle, circle, square to keep the same pattern structure.

Watch for this mistake: Naming only the last action does not identify the unit. Include every part before the pattern starts again.

Try it, then explain

  1. Continue: red, blue, blue, red, blue, blue, __, __, __.

    Hint

    Find the three-part unit.

    Answer and explanation

    red, blue, blue.

  2. Is 2, 4, 6, 8 a repeating pattern with a repeating unit shown? Explain.

    Hint

    Does the same block restart, or do the numbers grow?

    Answer and explanation

    It grows by two. No repeating block of these numbers has restarted.

Australian Curriculum elaborations

These curriculum examples extend the central model into varied contexts. They are learning contexts, not extra definitions to memorise.

E1

interpreting a repeating pattern sequence created by someone else, noticing and describing the repeating part of the pattern and explaining how they know what comes next in the sequence

Try and explain: Continue red, red, blue, red, red, blue. Name the smallest repeating unit.

Answer and teaching point

Red, red, blue comes next. The smallest repeating unit is red–red–blue, not the whole six-item display.

E2

generalising a repeating pattern by identifying the unit of repeat and representing the elements using numbers, letters or symbols; for example, representing the repeating pattern of stamp, stamp, clap, stamp clap, stamp, stamp, clap, stamp, clap as SSCSC SSCSC SSCSC... recognising the elements that are repeating, describing the unit of repeat as SSCSC and continuing the pattern

Try and explain: Represent clap, stamp, clap, stamp with letters. What repeats?

Answer and teaching point

CS CS. The unit CS repeats; each letter consistently represents one action.

E3

recognising within the sequencing of natural numbers that 0 - 9 digits are repeated both in and between the decades and using this pattern to continue the sequence and name two-digit numbers beyond 20

Try and explain: Compare the ones digits in 20–29 and 30–39. What repeats, and what changes?

Answer and teaching point

The ones digits repeat from 0 to 9. The tens digit changes from 2 to 3, so the numbers are different even though the ones-digit pattern repeats.

E4

collaboratively creating a repeating geometric pattern using dynamic geometric software or a generative artificial intelligence tool, discussing as a class what instructions they would need to input to produce a repeating pattern

Try and explain: Give a drawing tool clear instructions to make triangle, circle, circle repeated three times. How can you check its result?

Answer and teaching point

Specify the unit triangle–circle–circle and three repeats. Check for nine shapes in that order, with no missing or extra shape between units.

E5

identifying the repeating patterns in First Nations Australians’ systems of counting, exploring different ways of representing numbers including oral and gestural language

Cultural safety: Use a community-approved source, name the specific Nation or community where the source does, and avoid presenting diverse First Nations knowledges as one generic tradition. Follow local cultural and intellectual property protocols before inviting community participation.

E6

considering how the making of shell or seed necklaces by First Nations Australians’ includes practices such as sorting shells and beads based on colour, size and shape, and creating a repeating pattern sequence

Cultural safety: Use a community-approved source, name the specific Nation or community where the source does, and avoid presenting diverse First Nations knowledges as one generic tradition. Follow local cultural and intellectual property protocols before inviting community participation.

Common misconceptions and traps
  • Choosing too much as the unit — Find the smallest part that repeats.
  • Continuing by colour only — Check shape, symbol, number or object as well.
  • Changing the unit — Keep the same repeating unit all the way through.
Guided learning activities

Find the unit

Circle the smallest repeating unit in a pattern.

Model: A B A B A B

Continue the pattern

Use the unit to add the next three terms.

Model: red yellow red yellow

Create and explain

Create a repeating pattern and name the unit.

Model: clap stomp clap stomp

Revision Notes

Key idea: A repeating pattern is made from a unit that repeats again and again. The unit is the smallest part that repeats.

Remember

  • Find repeating unit
  • Continue patterns
  • Create patterns
  • Use shapes/numbers/symbols
  • Explain rule

Quick questions

  • What is the unit in ABABAB?
  • Continue: triangle, circle, triangle, circle...
  • Create a pattern with a 3-part unit.
  • Why is the unit important?

Return to the concept model if an answer is uncertain. Use the model to explain, not just to guess.

Official curriculum reference

AC9M1A02: recognise, continue and create repeating patterns with numbers, symbols, shapes and objects, identifying the repeating unit

Australian Curriculum Version 9.0

Practice, test and teacher resources

Use the Practice Sheet for written or hands-on work, Practice for supported feedback, and Test when the student is ready to demonstrate independent mastery.

🎥 Optional Video Lesson

The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.

Back to the lesson

Before you watch:

  • Pause after each worked example.
  • Try the examples yourself.
  • Return to the SkillrHub lesson before continuing.
Recommended: Patterns

Scratch Garden — Identify the small unit that repeats in an AB or ABC pattern.

As you watch: Find the shortest part that repeats. Can you predict the next two items?

Load video player Loads YouTube in this lesson. See the video notice below.

Try it: Make a clap-tap-tap pattern. Circle one complete repeating unit and teach the pattern to someone.

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Curriculum equivalents: Victoria, NSW and international

Curriculum equivalents for Repeating patterns

Mapped skill: recognise, continue and create repeating patterns with numbers, symbols, shapes and objects, identifying the repeating unit

These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.

RegionCurriculum frameworkClosest level or code
AustraliaAustralian Curriculum v9.0AC9M1A02 · Year 1
VictoriaVictorian Curriculum F–10 Version 2.0 — MathematicsVC2M1A02 · Level 1
New South WalesNSW Mathematics K–10 Syllabus (2022)MA1-FG-01 · Stage 1
United States (USA)Common Core State Standards for MathematicsGrade 1
Canada (Ontario)Ontario Curriculum — MathematicsGrade 1
United Kingdom (England)National Curriculum in England — MathematicsYear 2, Key Stage 1
IndiaNCERT / CBSE — MathematicsClass 1

Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.

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Topic reference: AC9M1A02 — Repeating Patterns

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