Support · Mathematics Extension 1 11–12 – Year 11 · Further work with functions

Support Recognise that a curve may be represented by two parametric equations that give x and y as functions of a parameter and that the curve may also have a Cartesian equation in x and y

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.

← Back to core resources

Prerequisite dot points

Recognise when modelling with a non-linear function that the rate of change is not constant and is represented by the gradient of the tangent to the curve at each point on the curve

Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping

No checked resources on this prerequisite dot point yet.

Examine the gradient of a curve at a point on the curve using graphing applications

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

Use the rules for differentiation to find equations of tangents and normals to a curve at points on the curve

Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping

No checked resources on this prerequisite dot point yet.