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

Practice: Translating Words to Algebra

Turn these everyday phrases into the language of algebra. Use 'x' for the unknown number.

Part 1: Expressions

  1. The sum of x and 12: _________________
  2. The difference between 20 and x: _________________
  3. The product of 7 and x: _________________
  4. A number x divided by 10: _________________
  5. 8 more than x: _________________
  6. 15 less than x: _________________

Part 2: Equations

  1. A number x increased by 5 is 18: _________________
  2. When a number x is doubled, the result is 24: _________________
  3. If you subtract 9 from x, you get 7: _________________
  4. A number x shared among 5 people is 6: _________________

Challenge: Two-Step Translations

  1. 3 more than twice a number x: _________________
  2. 5 less than a number x divided by 2: _________________
  3. When you multiply x by 4 and add 1, the answer is 21: _________________

Curriculum alignment

  • Algebra ā€” Practices: - Forming and solving one- and two-step linear equations with integer solutions (e.g. t + 7 = 12, 5s + 3 = 18) - Checking the truth of and completing number sentences involvinā€¦
  • Number ā€” Practices: - Multiplying whole numbers by fractions, including by improper fractions, by mixed numbers, and by first converting to an improper fraction - Multiplying fractions and represā€¦
  • Measurement ā€” Practices: - Multiplying whole numbers by fractions, including by improper fractions, by mixed numbers, and by first converting to an improper fraction - Multiplying fractions and represā€¦
  • Statistics ā€” Practices: - Multiplying whole numbers by fractions, including by improper fractions, by mixed numbers, and by first converting to an improper fraction - Multiplying fractions and represā€¦
  • Algebra ā€” Practices: - Multiplying whole numbers by fractions, including by improper fractions, by mixed numbers, and by first converting to an improper fraction - Multiplying fractions and represā€¦

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.