Creating Our Own Repeating Patterns
Students understand variables, terms, and coefficients, and write simple algebraic expressions from word descriptions.
About This Topic
Creating Our Own Repeating Patterns builds foundational skills in recognising and generating simple repeating sequences for Foundation students. They use two or more classroom objects to make patterns like ABAB or AABAAB, answering key questions such as 'Can you make your own AB pattern using two different objects?' or 'How could you make a pattern that goes AAB, AAB, AAB?' This hands-on work with items like blocks, sticks, or leaves helps students describe patterns verbally and predict what comes next.
Aligned with the Australian Curriculum's early number and algebra strand, this topic develops core ideas of repetition and order. Students connect patterns to real-life examples, like clapping rhythms or bead arrangements, which strengthens observation skills and introduces descriptive language such as 'repeating' and 'unit of repeat'. It sets the stage for more complex sequences in later years.
Active learning benefits this topic greatly because students manipulate physical objects to construct and extend patterns. This tactile approach makes repetition visible and interactive, encourages peer collaboration for sharing ideas, and provides instant feedback through teacher-guided checks, helping all learners grasp patterns intuitively.
Key Questions
- Can you make your own AB pattern using two different objects?
- What objects in the classroom could you use to make a repeating pattern?
- How could you make a pattern that goes AAB, AAB, AAB?
Learning Objectives
- Create repeating patterns using two or more distinct objects or symbols.
- Identify the unit of repeat in a given AB or AAB pattern.
- Extend a given repeating pattern by accurately predicting and adding the next two elements.
- Describe a repeating pattern using precise mathematical language, such as 'unit of repeat' and 'repeats'.
Before You Start
Why: Students need to be able to group objects based on attributes like color or shape to select different elements for their patterns.
Why: Understanding that items can follow one another in a specific order is a basic step towards recognizing and creating repeating patterns.
Key Vocabulary
| Pattern | A sequence of objects, shapes, or sounds that repeats in a predictable way. |
| Repeating Pattern | A pattern where a specific group of elements, called the unit of repeat, occurs over and over again in the same order. |
| Unit of Repeat | The smallest group of elements that repeats to form a repeating pattern. For example, in ABAB, 'AB' is the unit of repeat. |
| Extend | To continue a pattern by adding more elements that follow the established rule. |
Watch Out for These Misconceptions
Common MisconceptionPatterns must use only colors or numbers.
What to Teach Instead
Students often limit patterns to familiar items like crayons. Hands-on hunts for classroom objects show patterns form with any attributes, like shape or texture. Group sharing broadens ideas through peer examples.
Common MisconceptionAny arrangement of objects is a repeating pattern.
What to Teach Instead
Children may place items randomly and call it a pattern. Active building with teacher prompts to copy a unit repeatedly clarifies repetition. Peer checks during rotations reinforce the core repeat structure.
Common MisconceptionPatterns never change or end.
What to Teach Instead
Students think patterns go on forever without a repeating unit. Creating finite chains and extending them deliberately teaches units can repeat a set number of times. Collaborative displays highlight where patterns stop and start.
Active Learning Ideas
See all activitiesClassroom Scavenger: Object Patterns
Students pair up to hunt for two different classroom objects, like pencils and erasers. They create and extend an ABAB pattern on the floor or desk, then describe it to the class. Switch objects for a second round to try AAB.
Body Beat Patterns: Whole Class Rhythm
Model an AAB pattern using claps, snaps, and stamps. Students stand in a circle and repeat it together, then create their own AAB body pattern. Perform for the group and vote on the most creative.
Nature Chain: Repeating Links
Collect natural items like leaves and twigs outside. In small groups, link them into AB or AAB chains on paper. Extend the pattern by two units and explain the repeating part to another group.
Bead String: Personal Patterns
Provide string and large beads in four colors. Students individually make a necklace with a repeating unit like ABAB. Wear and share with a partner, predicting the next beads if extended.
Real-World Connections
- Textile designers create patterns for fabrics, like the stripes on a shirt or the floral design on a dress, by repeating a specific motif or color sequence.
- Musicians use repeating rhythmic patterns, called ostinatos, in songs to provide a consistent beat or melody that listeners can easily follow.
- Architects and builders use repeating patterns in tiling floors or brickwork to create visually appealing and structurally sound designs.
Assessment Ideas
Provide students with a collection of classroom objects (e.g., blocks, crayons, counters). Ask them to create an AB pattern and then an AAB pattern. Observe if they can successfully arrange the objects in a repeating sequence.
Draw a simple repeating pattern on the board (e.g., circle, square, circle, square). Ask students to draw the next two shapes in the pattern on a small card and write down the 'unit of repeat'.
Show students a picture of a tiled floor or a beaded necklace. Ask: 'What do you notice about this picture? Can you describe the pattern you see? What is the part that repeats over and over?'
Frequently Asked Questions
How do I introduce repeating patterns in Foundation maths?
What classroom objects work best for repeating patterns?
How can active learning help students create repeating patterns?
How does this topic link to the Australian Curriculum?
Planning templates for Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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