Starter (10 mins)
Inverse Operations Review
Quick-fire questions for the class: What is the inverse of adding? Subtracting? Multiplying? Dividing? Emphasise that to solve equations, we undo them in the reverse order of operations (reverse BEDMAS).
Main Activity (25 mins)
Solving Two-Step Equations
Model solving a two-step equation like 2x + 3 = 11. Explain that we undo the addition/subtraction first, then the multiplication/division. "We want to get 'x' on its own, so we first move the constant, then the coefficient."
Students work through the "Two-Step Equation Marathon" practice sheet, starting with the first level. Circulate and provide support.
View Practice SheetPlenary (15 mins)
Real-World Algebra Stations
Set up the "Real-World Algebra" station cards around the room. In small groups, students rotate through the stations, creating and solving a two-step equation for each real-world scenario. This demonstrates the practical application of their new skills.
View Station CardsMedia Anchor (8-10 mins)
Video anchor: Solving two-step equations clearly
Use this clip to reinforce reverse-order operations before station rotation work begins.
Pause and discuss: How do you check a two-step solution efficiently for accuracy?
Transfer task: Students capture one method from the video and apply it to the first question in the next activity.
Resources Needed
- "Two-Step Equation Marathon" Practice Sheet
- "Real-World Algebra" Station Cards
- Mini-whiteboards
📋 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.
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
- NZC (2007) · Mathematics and Statistics · Level 4: “Form and solve simple linear equations.”