Forming measurement expressions

Write algebraic expressions to represent measurements and use them to solve practical problems.

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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-Y9-01

Resources

Terminology

  • variable
  • expression
  • perimeter
  • area
  • volume
  • measurement
  • unit
  • conversion
  • dimension
  • formula

Task goals

  • Choose the appropriate measurement rule (perimeter, area, volume, or a unit conversion) before forming an expression for it.
  • Form and simplify a perimeter expression from variable side lengths, using brackets to group related lengths before simplifying.
  • Form an area or volume expression from variable dimensions, keeping units consistent throughout.
  • Form an expression involving a fraction or an irrational constant such as $\pi$, e.g. the area of a semicircle of radius $r$.
  • Form an expression for a real measurement context such as distance, capacity, mass, time, or a unit conversion.
  • Distinguish a measurement expression from a formula or an equation, and explain the difference.

Where this fits

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

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Forming measurement expressions

Forming measurement expressions

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Simplifying and manipulating algebraic expressions involving sums, products, differences, and positive integer powers, by: collecting like terms; factorising using common factors; expanding products, including multiplying a single term by a bracketed term.

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-01

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