Area (including circles and composite shapes)

Calculate the area of rectangles, triangles, parallelograms, trapeziums, circles, and composite shapes using appropriate formulas.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM5-4
New NZC (2026)
  • NZC26-P4-MEA-MEA-P-Y10-03
  • NZC26-P4-MEA-MEA-P-Y10-04
  • NZC26-P4-MEA-MEA-K-Y10-03

Resources

Terminology

  • area
  • rectangle
  • triangle
  • parallelogram
  • trapezium
  • circle
  • radius
  • diameter
  • composite shape
  • formula

Task goals

  • Select and apply the correct area formula for rectangles, triangles, parallelograms, trapeziums, and circles.
  • Calculate the area of composite shapes by breaking them down into simpler shapes.
  • Use the relationship between radius and diameter when calculating circle area.
  • Estimate and compare areas of different shapes.

Where this fits

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

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Area (including circles and composite shapes)

Area (including circles and composite shapes)

Do

Finding: the area of circles and composite shapes that include circles or semicircles; the surface area and volume or capacity of prisms, pyramids, and cylinders

Statement▸
Year 10 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y10-03
Do

Deriving the formulae for the area of half and quarter circles from the formula for a full circle

Statement▸
Year 10 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y10-04

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