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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

Angle relationships
Apply the language, notation and conventions of geometry
  • Use appropriate terminology and conventions to define, label and name points, rays, lines and intervals using capital letters

  • Identify and label the vertex and arms of an angle with capital letters

  • Use appropriate conventions to label and name angles

  • Use common conventions to indicate right angles, equal angles and intervals on diagrams

Identify geometrical properties of angles at a point
  • Identify right angles, straight angles, angles of complete revolution and vertically opposite angles

  • Apply the term adjacent angles to a pair of angles with a common arm and common vertex

Identify and describe corresponding, alternate and co-interior angles when 2 straight lines are crossed by a transversal, including parallel lines
  • Apply the common conventions to indicate parallel lines on diagrams

  • Identify and define transversals, including transversals of parallel lines

  • Identify, name and measure alternate angle pairs, corresponding angle pairs and co-interior angle pairs for 2 lines cut by a transversal

  • Verify and identify corresponding angles and alternate angles as equal, and co-interior angles as supplementary, when a pair of parallel lines is cut by a transversal

  • Justify that 2 lines are parallel by using properties of alternate, corresponding or co-interior angles on parallel lines

Solve numerical problems involving angles using reasoning
  • Apply the knowledge of angle relationships including angles at a point to find the sizes of unknown angles embedded in diagrams and give reasons

  • Apply the knowledge of angles associated with parallel lines to find the sizes of unknown angles embedded in related diagrams and give reasons

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