Practice: One-Step Equation Gauntlet

Solve as many as you can!

Level 1: Addition (Solve for x)

x + 5 = 10

x + 3 = 7

x + 9 = 12

x + 1 = 11

x + 15 = 25

x + 7 = 19

Level 2: Subtraction (Solve for y)

y - 2 = 8

y - 10 = 5

y - 7 = 13

y - 1 = 9

y - 20 = 30

y - 6 = 14

Level 3: Multiplication (Solve for a)

2a = 12

5a = 25

3a = 15

10a = 100

4a = 24

6a = 42

Level 4: Division (Solve for b)

b / 3 = 5

b / 2 = 10

b / 6 = 6

b / 8 = 4

b / 5 = 7

b / 10 = 2

📋 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.