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Teaching algebra in primary classrooms helps students recognise and represent patterns, relationships, and rules that underpin all mathematical thinking.
Through exploring number sequences, symbols, and generalisations, students begin to understand how mathematics describes relationships that stay true — even as numbers change.

The A+ Teacher Club Guides to Teaching unpack the Algebra Strand of the mathematics curriculum step by step. Created by numeracy coach Vikki Longthorn, these guides show teachers what to teach, when to teach it, and how to build deep understanding so students can reason, represent, and generalise with confidence.

Part of the How to Teach Maths in Primary Classrooms series.

What Is the Algebra Strand About?

The Algebra Strand focuses on recognising, representing, and describing patterns and relationships between quantities.
It helps students move from arithmetic — calculating with specific numbers — to generalising mathematical relationships that apply in any situation.

Students learn to:

• Recognise, continue, and create patterns and sequences using numbers, objects, and shapes.
• Describe rules and relationships between quantities.
• Use symbols, variables, and expressions to represent relationships.
• Model real-world situations using equations and number sentences.
• Understand equivalence and equality (e.g. both sides of the equals sign mean the same).

Algebraic reasoning begins informally in the early years through patterns and relationships, then becomes more symbolic and generalised in upper primary.

Why Teaching Algebra Matters

Algebra is the language of mathematics.
It helps students describe how numbers and quantities relate and change, preparing them for higher-level maths and problem-solving in everyday life.

Teaching algebra effectively helps students:

• Develop logical reasoning and critical thinking.
• Recognise and describe relationships between operations (e.g. addition ↔ subtraction).
• Connect patterns in number, shape, and measurement.
• Transition from specific examples to general rules.
• Build a foundation for coding, data, and advanced mathematics.

Students who develop algebraic thinking early are more confident when tackling abstract problems in later years.

How the Algebra Strand Connects to the Curriculum

Mathematics in the Australian Curriculum v9 is organised into six interrelated strands — Number, Algebra, Measurement, Space, Statistics, and Probability.
The A+ Teacher Club Guides to Teaching Algebra align directly with this structure, showing how to introduce and extend pattern and relationship concepts from Foundation through Year 6.

Across these years, students:

• Identify and describe patterns and relationships in numbers, shapes, and events.
• Represent relationships with words, diagrams, tables, and symbols.
• Explore equivalence and equality using balance models and number sentences.
• Use repeated addition, skip counting, and multiplication to generalise patterns.
• Apply rules and functions to generate sequences and solve problems.

Each guide connects curriculum content to practical classroom examples and clear learning progressions.

For full curriculum details, see the Australian Curriculum Mathematics Overview.

Mathematics Manipulatives for Teaching Algebra Concepts

Concrete materials help students see relationships and patterns before representing them symbolically.
Recommended manipulatives include:

• Pattern blocks and colour tiles – to explore repeating and growing patterns.
• Unifix cubes and counters – to model sequences and relationships between sets.
• Balance scales and number balances – for exploring equality and equivalence.
• Function machines (input–output boxes) – to show how one value relates to another.
• Number lines and hundred charts – for skip counting and identifying patterns.
• Algebra tiles and linking cubes – for visualising expressions and equations.
• Shape cards or tangrams – to connect spatial and numerical patterns.

Manipulatives provide the bridge from noticing patterns to expressing them using rules, diagrams, or equations.

Using Picture Books to Teach Algebra Concepts

Picture books are a powerful way to introduce pattern and relationship concepts, using familiar stories to develop algebraic thinking.

Recommended titles include:

• “The Very Hungry Caterpillar” – Eric Carle – introduces sequencing and growing patterns.
• “Two of Everything” – Lily Toy Hong – explores doubling and multiplication patterns.
• “The Button Box” – Margarette S. Reid – supports classification and patterning.
• “Beep Beep, Vroom Vroom!” – Stuart J. Murphy – builds repeating pattern understanding.
• “Pattern Fish” – Trudy Harris – reinforces the structure of repeating patterns.
• “Even Steven and Odd Todd” – Kathryn Cristaldi – highlights number patterns and relationships.
• “The Grapes of Math” – Greg Tang – encourages flexible and generalised thinking.

Integrating these texts helps students see patterns in real-life contexts and promotes mathematical language and reasoning.

Common Student Difficulties in the Algebra Strand

Students often find algebra abstract because it involves representing relationships rather than counting objects.
Common difficulties include:

• Confusing pattern repetition and growth – not distinguishing between repeating and increasing sequences.
• Misunderstanding the equals sign – interpreting it as “the answer comes next” instead of “both sides are the same.”
• Struggling with generalisation – finding it hard to express a rule that applies to all cases.
• Difficulty translating patterns into symbols – moving from visual to abstract representations.
• Overreliance on counting – failing to see structure in number sequences.

Teachers can support students by using concrete materials, visual models, and explicit language (“The rule is +3 each time”) to build algebraic reasoning gradually.

Achievement Standards in the Algebra Strand

Achievement standards describe what students are typically able to understand and do, and they form the basis for reporting student achievement.
Each Mathematics achievement standard is organised into paragraphs reflecting the six strands. Students’ mastery of algebraic thinking is judged against these descriptions.

In Mathematics, students progress along a curriculum continuum with an achievement standard at each level. The standard represents a satisfactory level of understanding—typically a C grade. Teachers report against these standards, noting that some concepts are introduced for extension and do not form part of formal grading.

Teaching algebra in primary classrooms begins with helping students recognise and describe patterns and relationships that form the foundation of all mathematical reasoning.
The A+ Teacher Club How to Teach Algebra Concepts Guides are organised by year level, supporting teachers to unpack the algebra curriculum and teach step by step — from exploring repeating patterns in the early years to expressing number relationships using rules and symbols in later grades.

Each guide aligns with the Australian Curriculum v9, addresses common student misconceptions, and builds teacher confidence through clear, concept-based instruction that makes algebraic thinking meaningful and engaging for students.

Explore the complete How to Teach Algebra Concepts Guides by Year Level to make algebra teaching clear, connected, and inspiring.