Skip to content

A NSW Government website

Welcome to the NSW Curriculum website

NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus (2022)

Implementation 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 Loading  involving more than 3 steps

  • Solve Loading  that involve 2 or more Loading 

Rearrange literal equations
  • Change the subject of a formula

Solve quadratic equations using a variety of methods
  • Solve equations of the form ax2+bx+c=0 by factorisation and by completing the square

  • Apply the quadratic formula x=-b±b2 - 4ac2a to solve quadratic equations

  • Apply the most appropriate method to solve a variety of Loading 

  • 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 Loading  by finding the point of intersection of their Loading 

  • 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 Loading  and relate the identity to coincident Loading 

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

Related files