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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 5

Circle geometry (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Prove and apply angle and chord properties of circles
  • Apply terminology associated with angles in circles

  • Identify the arc on which an angle at the centre or circumference stands

  • Demonstrate that at any point on a circle there is a unique tangent to the circle, and that this tangent is perpendicular to the radius at the point of contact

  • Prove chord properties of circles

  • Prove angle properties of circles

  • Apply chord and angle properties of circles to find unknown angles and lengths in diagrams

Prove and apply tangent and secant properties of circles
  • Prove tangent and secant properties of circles

  • Apply tangent and secant properties of circles to find unknown angles and lengths in diagrams

Related files