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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

Non-linear relationships B
Graph and examine quadratic relationships
  • Graph and compare parabolas of the form y=kx2 and y=kx2+c using graphing applications

  • Identify and describe the key features of parabolas of the form y=kx2 and y=kx2+c including the vertex, x- and y-intercepts, axis of symmetry and concavity

Graph and examine exponential relationships
  • Graph and compare exponential curves of the form y=ax using graphing applications

  • Describe features of exponential curves including the y-intercept, asymptote and the nature of the curve for very large and very small values of x

Distinguish between linear, quadratic and exponential relationships by examining their graphical representations
  • Associate graphs of straight lines, parabolas and exponential curves with the appropriate equations

  • Recognise non-linear relationships in real-life contexts and solve related problems

  • Use graphing applications to solve a pair of simultaneous equations where one equation is non-linear and interpret the solution

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