Using Formulae: Substituting and Rearranging (Combined)

Substitute given numeric values into a simple one- or two-step formula (e.g. perimeter, speed, cost) and evaluate.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-7
  • GM5-3
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-06
  • NZC26-P4-ALG-ER-P-Y10-04
  • NZC26-P3-ALG-ER-P-Y7-04
  • NZC26-P3-ALG-ER-P-Y8-03

Resources

Terminology

  • Formula
  • Substitute
  • Subject of the formula
  • Rearrange
  • Variable
  • Evaluate
  • Order of operations

Task goals

  • Substitute given numeric values into a simple one- or two-step formula (e.g. perimeter, speed, cost) and evaluate it correctly.
  • Rearrange a formula with one occurrence of the target variable to make it the subject, then substitute to solve for an unknown.
  • Rearrange formulae where the target variable appears under a root, in a denominator, or on both sides, and apply the result to a multi-step real-world problem.

Where this fits

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

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Using Formulae: Substituting and Rearranging (Combined)

Using Formulae: Substituting and Rearranging (Combined)

Do

Rearranging formulae (e.g. solving P = 2l + 2w for w)

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-06

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