Measurement applications: simple shapes

Solve substantial, realistic measurement problems that chain a perimeter or area calculation of a rectangle, triangle, parallelogram, trapezium, or circle through a unit conversion to a quantity of material, a discrete purchase, and a cost, and make and justify a decision from the result.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM5-3
  • GM5-1
New NZC (2026)
  • NZC26-P4-MEA-MEA-P-Y9-03

Resources

Terminology

  • Area
  • Perimeter
  • Circumference
  • Rectangle
  • Triangle
  • Parallelogram
  • Trapezium
  • Circle
  • Radius
  • Diameter
  • Unit conversion

Task goals

  • Calculate the area or perimeter of a rectangle, triangle, parallelogram, trapezium, or circle from a realistic scenario.
  • Convert between units of length (e.g. cm to m) before calculating an area, perimeter, or circumference, and recognise that area conversion factors are squared.
  • Use a calculated area, perimeter, or circumference to find a quantity of material needed for a real task.
  • Calculate the total cost of a quantity of material, rounding a discrete purchase (tins, rolls, sheets, packs) UP to the next whole item and money to the nearest cent.
  • Compare two real options by total cost and/or value per unit area, and check whether each meets a stated constraint such as a budget or a free-delivery threshold.
  • Write a short, numbers-based justification for a real-world measurement decision.

Where this fits

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

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Measurement applications: simple shapes

Measurement applications: simple shapes

Do

Finding: the perimeter of 2D shapes; the circumference of circles; the area of parallelograms, trapeziums, and kites, relating the formulae used to the formula for a rectangle

Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y9-03

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