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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

Linear relationships C (Path)

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

Apply formulas to find the midpoint and gradient/slope of an interval on the Cartesian plane
  • Apply the gradient formula to find the gradient of the interval joining 2 points on the Cartesian plane

Apply the distance formula to find the distance between 2 points located on the Cartesian plane
  • Apply the distance formula to find the distance between 2 points on the Cartesian plane

Use various forms of the equation of a straight line
  • Graph the equation of a straight line in any form

  • Use the gradient and the point–gradient form to find the equation of a line passing through 2 points

  • Find the equation of a line that is parallel or perpendicular to a given line in any form

  • Determine and justify whether 2 given lines are parallel or perpendicular

Solve problems by applying coordinate geometry formulas
  • Solve problems including those involving geometrical figures by applying coordinate geometry formulas

Identify line and rotational symmetries
  • Identify lines (axes) and rotational symmetry in plane shapes

  • Identify line and rotational symmetry in various linear and non-linear graphs

Describe translations, reflections in an axis, and rotations through multiples of 90 degrees on the Cartesian plane, using coordinates
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