Excellence-Level Algebra: Multi-Step Problem Solving with Justification

Combine two related algebraic procedures (e.g. expand then solve) in a guided multi-step problem with clear prompts for each step.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-7
  • NA6-5
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y10-02

Resources

Terminology

  • expression
  • simplify
  • expand
  • factorise
  • equation
  • solve
  • justify

Task goals

  • Foundation: Combine two related algebraic procedures (e.g. expand then solve) in a guided multi-step problem with clear prompts for each step.
  • Proficient: Combine three or more procedures (e.g. factorise, simplify, and solve) in a multi-step problem with reduced scaffolding.
  • Excellence: Solve a non-routine, multi-step problem that requires selecting and linking several algebraic procedures independently, then fully justify the reasoning and reject any invalid solutions.

Where this fits

What leads into this objective, and where it goes next.

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Excellence-Level Algebra: Multi-Step Problem Solving with Justification

Excellence-Level Algebra: Multi-Step Problem Solving with Justification

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Forming and solving linear equations and linear inequalities with rational number coefficients (e.g. −2/5 x + 5 ≤ −10), giving exact or rounded solutions, and representing the solution on a number line

Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-02

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