Activity: Real-World Algebra Stations

Create and solve a two-step equation for each scenario.

Station 1: Mobile Phone Plan

A mobile phone plan costs $20 per month, plus $2 for every gigabyte of data used. This month, the bill was $32.

Task: Write and solve an equation to find out how many gigabytes (g) were used.

Equation: _________________

Solution: g = ___

Station 2: Taxi Fare

A taxi ride has a flat fee of $5, plus $3 for every kilometre driven. The total fare was $23.

Task: Write and solve an equation to find out how many kilometres (k) were driven.

Equation: _________________

Solution: k = ___

Station 3: Savings Goal

You have $50 saved already. You save an extra $10 each week. Your goal is to save $150 for a new bike.

Task: Write and solve an equation to find out how many weeks (w) it will take to reach your goal.

Equation: _________________

Solution: w = ___

📋 Teacher Planning Snapshot

Ngā Whāinga Ako — Learning Intentions

Students will develop algebraic thinking and pattern recognition (tātai tauira) through te ao Māori contexts, connecting mathematical reasoning to cultural and real-world problem-solving in Aotearoa.

Ngā Paearu Angitū — Success Criteria

✅ Students can identify, describe, and extend patterns using algebraic notation.
✅ Students can explain their mathematical reasoning and connect it to real-world contexts.

Differentiation & Inclusion

Scaffold support: Provide concrete materials and visual representations before moving to abstract notation. Offer entry-level tasks using number patterns, and extension challenges involving proof or generalisation for capable learners.

ELL / ESOL: Pre-teach key mathematical vocabulary (variable, expression, equation, pattern). Allow diagrams and tables as alternate representations. Bilingual glossaries recommended.

Inclusion: Neurodiverse learners benefit from structured step-by-step templates and multiple representations (visual, numeric, algebraic). Avoid time pressure on procedural tasks.

🌿 Mātauranga Māori Lens

Tātai (to reckon, count, calculate) reflects the deep mathematical tradition within te ao Māori — from whakapapa genealogy structures to wharenui proportional geometry, navigation, and seasonal calendars. Mātauranga Māori holds rich pattern-based thinking: tukutuku panel sequences, kōwhaiwhai scroll patterns, and fishing seasonal cycles all encode algebraic relationships. Algebra taught through these lenses makes abstract thinking visible and culturally grounded.

Curriculum alignment

Mathematics — Algebra: Use graphs, tables, and rules to describe linear relationships and solve problems.
Mathematics — Algebra: Form and solve simple linear equations and represent the rules for pattern sequences algebraically.