Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Algebraic relationships

Support Graph an exponential relationship of the form y = a^x and y = a^(- x), where a > 0, with and without using graphing applications

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.

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Prerequisite dot points

Represent quadratic and exponential relationships using graphing applications

Stage 5 · Non-linear relationships A Draft mapping

  • Interactive toolStarterEnrichment
    Desmos Graphing Calculator
    Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
  • Interactive toolEnrichment
    GeoGebra Classic
    GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Dynamic geometry and graphing for constructions and proofs.
  • Interactive toolDrill
    Mathsisfun: Function grapher
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Plot functions quickly.

Graph and compare exponential curves of the form y = a^x using graphing applications

Stage 5 · Non-linear relationships B Draft mapping

  • Interactive toolStarterEnrichment
    Desmos Graphing Calculator
    Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
  • Interactive toolEnrichment
    GeoGebra Classic
    GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Dynamic geometry and graphing for constructions and proofs.
  • WorksheetDrill
    Kuta free worksheet: Exponential functions and graphs
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on exponential functions and graphs; good for drill or homework.

Simplify algebraic expressions involving algebraic fractions using factorisation

Stage 5 · Algebraic techniques C (Path) Draft mapping