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Support · Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation

Support Graph y = f^'(x) for a given graph of a function y = f(x)

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

Use graphing applications to graph and compare functions of the form y = f(x),y = f(x) + c, y = f(x - b), y = kf(x) and y = f(ax), and describe their transformations

Stage 5 · Functions and other graphs (Path) 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.

Apply the vertical line test on a graph to decide whether it represents a function

Stage 5 · Functions and other graphs (Path) Draft mapping

No checked resources on this prerequisite dot point yet.

Graph equations of the form y = mx + c by using the gradient and the y-intercept

Stage 5 · Linear relationships B Draft mapping