Introduction to Algebra — Te Tātai Tauira
Patterns, Variables & Equations through Kōwhaiwhai
🌿 Algebra Through Te Ao Māori
Patterns aren't just abstract — they're woven into kōwhaiwhai (painted scroll patterns) and tukutuku (lattice weaving) panels. Students discover algebraic rules by analysing the repeating motifs that adorn wharenui across Aotearoa.
📚 Lessons / Ngā Akoranga
Pattern Detectives
Investigate number and shape patterns to develop intuitive understanding of rules and sequences.
The Mystery of 'x'
Introducing variables as a way to represent unknown quantities. Solve simple problems with unknowns.
Building with Algebra
Use algebraic rules to create geometric patterns, linking to kōwhaiwhai and tukutuku designs.
The Balancing Act
Equations as a balance. Solve one-step equations using the inverse operation.
The Two-Step Shuffle
Extend to two-step equations. Apply algebra to real-world scenarios.
🏆 Summative Assessment
📄 Resources / Ngā Rauemi
🎮 Activities & Games
✏️ Practice Sheets
🌿 Te Ao Māori Integration
Algebra connects to the patterns that carry whakapapa and meaning in Māori art.
📋 Curriculum Alignment
NZC Level 4 — Mathematics and Statistics
- Number and Algebra: Generalise the properties of operations with whole numbers
- Patterns and Relationships: Use graphs, tables, and rules to describe linear relationships
Key Competencies:
- Thinking: Exploring patterns, problem-solving
- Using language, symbols, and texts: Understanding algebraic notation
- Relating to others: Collaborative problem-solving
Success Criteria (WILF):
- Identify and describe patterns in sequences
- Use symbols and letters to represent unknowns
- Write and solve simple linear equations
- Connect algebraic thinking to patterns in Te Ao Māori
📎 Unit Resources
Downloadable handouts, worksheets, and materials for this unit.