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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 3

Geometric measure B
Position: Use the 4 quadrants of the coordinate plane
  • Plot and label points, given coordinates, in all 4 quadrants of the number plane

  • Identify and record the coordinates of given points on the number plane in all 4 quadrants

  • Describe changes to coordinates when a point is translated or reflected across an axis

Length: Connect decimal representations to the metric system
  • Recognise the equivalence of whole-number and decimal representations of measurements of length

  • Interpret decimal notation for lengths and distances

  • Record lengths and distances using decimal notation

Length: Convert between common metric units of length
  • Use decimal place value system to convert between metres and kilometres

  • Convert measurements to the same unit to compare lengths and distances

  • Explain and use the relationship between the size of a unit and the number of units needed

Length: Solve problems involving the comparison of lengths using appropriate units
  • Investigate and compare perimeters of rectangles with the same area

  • Determine the number of different rectangles that can be formed using whole-number dimensions for a given area (Reasons about spatial structure)

  • Solve a variety of problems involving length and perimeter, including problems involving different units of length

Angles: Investigate angles on a straight line and angles at a point
  • Recognise right angles, angles on a straight line and angles at a point embedded in diagrams (Reasons about spatial orientation)

  • Identify the vertex and arms of angles formed by intersecting lines

Angles: Investigate the relationships formed by the intersection of straight lines
  • Identify angle types formed by the intersection of straight lines, including right angles (90°), angles on a straight line (add to 180°) and angles at a point that form an angle of revolution (add to 360°)

  • Recognise that perpendicular lines intersect at right angles (90°)

  • Investigate adjacent angles that form a right angle and establish that they add to 90°

  • Investigate adjacent angles on a straight line and establish that they add to 180°

  • Investigate angles at a point and establish that they form an angle of revolution and add to 360°

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