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NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 4

Length
Solve problems involving the perimeter of various quadrilaterals and simple composite figures
  • Solve problems involving the perimeter of plane shapes, including parallelograms, trapeziums, rhombuses and kites

  • Solve problems relating to the perimeter of simple composite figures

  • Compare methods of solution for finding perimeter and evaluate the efficiency of those methods

Describe the relationships between the features of circles
  • Identify and describe the relationship between circle features, including the radius, diameter, arc, chord, sector and segment of a circle, and a tangent to a circle

  • Define π as the ratio of the circumference to the diameter of any circle

  • Verify that the number π is a constant and develop the formula for the circumference of a circle

  • Apply the formula for the circumference of a circle in terms of the diameter d or radius r (circumference of a circle =πd or 2πr) to solve related problems to solve related problems

  • Establish the arc length formula l=θ360×2πr where l is the arc length and θ is the angle subtended at the centre by the arc

  • Solve problems by finding arc lengths and the perimeter of sectors, giving an exact answer in terms of π or an approximate answer

  • Find the perimeter of quadrants, semicircles and simple composite figures consisting of 2 shapes in a variety of contexts, including using digital tools

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