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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 11

Linear relationships
Linear modelling
  • Determine the y-intercept and gradient of a straight line given in graphical form
  • Determine the equation of a straight line of the form y=mx+c where m is the gradient and is the y-intercept
  • Determine the y-intercept and gradient from the equation of a straight line
  • Construct a straight-line graph, with and without using graphing applications

  • Model linear relationships and interpret the features of those relationships in a variety of contexts, noting that the y-intercept is the vertical intercept and the gradient is the rate of change
  • Interpolate and extrapolate from a linear model in a practical context

  • Identify and describe the limitations of a linear model in a practical context

  • Use a spreadsheet to model a linear relationship in a variety of contexts

Direct variation
  • Recognise that a direct variation relationship of the form y=kx produces a straight-line graph
  • Explain that a direct variation relationship of the form y=kx is a graph that passes through the origin with gradient being the constant of variation
  • Identify and represent direct variation of the form y=kx from descriptions of situations in which one quantity varies directly with another quantity
  • Evaluate k in equations of the form y=kx, given one pair of values for the variables, and use the resulting formula to find other values of the variables to solve problems in a variety of contexts
  • Graph and analyse equations of the form y=kx to solve problems in a variety of contexts
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