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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

Equations C (Path)

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

Solve linear equations involving algebraic fractions and equations of more than 3 steps
  • Solve linear equations involving more than 3 steps

  • Solve equations that involve 2 or more fractions

Rearrange literal equations
  • Change the subject of a formula

Solve quadratic equations using a variety of methods
  • Apply the most appropriate method to solve a variety of quadratic equations

  • Use substitution to verify solutions to quadratic equations

  • Identify whether a given quadratic equation has real solutions, and if there are real solutions, whether or not they are equal

  • Solve quadratic equations resulting from substitution into formulas in various contexts

  • Model and solve word problems using quadratic equations in various contexts

  • Solve equations that are reducible to quadratics

Solve linear simultaneous equations, both algebraically and graphically
  • Solve linear simultaneous equations by finding the point of intersection of their graphs

  • Solve linear simultaneous equations using algebraic techniques including substitution and elimination methods

  • Model and solve word problems using simultaneous equations and interpret their solutions

  • Describe an identity as an equation that is true for all values of the pronumeral and relate the identity to coincident lines

  • Describe a contradiction as an equation that has no solutions and relate the contradiction to parallel lines

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