Skip to content

A NSW Government website

Welcome to the NSW Curriculum website

NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Standard 11–12 Syllabus

Record of changes
Implementation from 2026
Expand for detailed implementation advice

Content

Year 12 – Standard 2

Algebraic relationships
Simultaneous linear equations
  • Graph two linear equations and identify the point of intersection, with and without using graphing applications

  • Solve a pair of simultaneous linear equations using graphical and algebraic methods

  • Develop a pair of simultaneous linear equations to model a practical situation

  • Solve practical problems that involve simultaneous linear equations

  • Use simultaneous equations to model and analyse the break-even point where cost and revenue are represented by linear equations

  • Identify the break-even point and solve problems involving profit and loss using a spreadsheet

Exponential relationships
  • Recognise that an exponential relationship can be represented by an equation, a table of values, a set of ordered pairs or a graph, and move flexibly between these representations

  • Interpret the meaning of the intercept of an exponential graph in a variety of contexts

  • Explain the limitations of exponential models in practical contexts

Quadratic relationships
  • Recognise that a quadratic relationship can be represented by an equation, a table of values, a set of ordered pairs or a graph, and move flexibly between these representations

  • Recognise the parabolic shape of a quadratic relationship, noting its vertex and axis of symmetry

  • Analyse a given graph of a quadratic relationship and use it to solve practical problems

  • Interpret the meaning of the intercepts and vertex of a parabola in a variety of contexts

Reciprocal relationships
  • Identify the hyperbolic shape of a reciprocal graph

  • Explain the limitations of reciprocal models in practical inverse variation problems

Related files