šŸ“š Unit Plans ā†’ šŸŒ Y7/8 Introduction to Algebra ā€” Te Tātai Tauira ā†’ šŸ“„ Practice: Two-Step Equation Marathon
Years 7ā€“10 Pāngarau / Mathematics

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

Curriculum alignment

  • Algebra ā€” Knowledge: - A variable can be used to represent:an unknown number, often in formulae (e.g. s in s2)a quantity that can vary or change (e.g. y = 3x + 4; A = bh)a specific unknown value tā€¦
  • Number ā€” Knowledge: - Locating integers on a number line - Ordering whole negative and positive numbers using a number line - Identifying the additive inverse of any number - Representing additioā€¦
  • Measurement ā€” Knowledge: - Locating integers on a number line - Ordering whole negative and positive numbers using a number line - Identifying the additive inverse of any number - Representing additioā€¦
  • Statistics ā€” Knowledge: - Locating integers on a number line - Ordering whole negative and positive numbers using a number line - Identifying the additive inverse of any number - Representing additioā€¦
  • Algebra ā€” Knowledge: - Locating integers on a number line - Ordering whole negative and positive numbers using a number line - Identifying the additive inverse of any number - Representing additioā€¦

šŸ“‹ Teacher Planning Snapshot

Ngā Whāinga Ako ā€” 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 AngitÅ« ā€” Success Criteria

  • āœ… Students can identify, describe, and extend patterns using algebraic notation.
  • āœ… 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.

šŸŒæ Mātauranga Māori Lens

Tātai (to reckon, count, calculate) reflects the deep mathematical tradition within te ao Māori ā€” 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.