Practice: Two-Step Equation Marathon

Remember to undo addition/subtraction first!

Part 1: Solve for x

1. 2x + 4 = 10

2. 3x + 5 = 14

3. 5x + 2 = 22

4. 4x - 3 = 13

5. 6x - 8 = 16

6. 10x - 15 = 35

Part 2: Division Involved

1. x/2 + 3 = 8

2. x/4 + 1 = 6

3. x/5 + 6 = 10

4. x/3 - 2 = 4

5. x/6 - 1 = 5

6. x/10 - 5 = 5

📋 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.