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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

Properties of geometrical figures C (Path)

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

Construct formal proofs involving congruent and similar triangles
  • Construct formal proofs of the congruence of triangles, preserving the matching order of vertices and drawing relevant conclusions

  • Construct formal proofs of the similarity of triangles, preserving the matching order of vertices and drawing relevant conclusions

Apply logical reasoning to proofs involving plane shapes
  • Recognise that a definition is the minimum amount of information needed to identify a particular figure

  • Prove the properties of isosceles and equilateral triangles and special quadrilaterals from the formal definition of the shapes

  • Prove and apply theorems and properties related to triangles and quadrilaterals

  • Prove and apply tests for quadrilaterals

  • Solve numerical and non-numerical problems in Euclidean geometry based on known assumptions and proven theorems

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