Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus

Support Solve optimisation problems by using calculus to find local and global maxima and minima of differentiable functions, checking discontinuities of f'(x) and endpoints of the domain if applicable

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

Graph y = (ax + b) with and without graphing applications, and identify its symmetry, domain and range

Mathematics Advanced 11–12 – Year 11 · Working with functions 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.

Define a discontinuity of a function informally as a point where the function is not continuous

Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping

No checked resources on this prerequisite dot point yet.