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

Support Explain the limitations of a model of a quadratic relationship in a practical context and consider the values for x and y for which the quadratic model is valid

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

Identify and describe the limitations of a linear model in a practical context

Mathematics Standard 11–12 – Year 11 · Linear relationships Draft mapping

No checked resources on this prerequisite dot point yet.

Explain that quadratic relationships are represented by parabolas

Stage 5 · Non-linear relationships A Draft mapping

Interactive toolStarter
Mathigon: Quadratic equations
Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
Use it for: Visual introduction to parabolas and solving quadratics.
SimulationStarter Enrichment
PhET Graphing Quadratics
PhET Interactive Simulations · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
Use it for: See how coefficients change a parabola and locate the vertex.
WorksheetDrill Exit ticket
Corbettmaths practice questions: Quadratic graphs: drawing
Corbettmaths · Web page · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
Use it for: Free printable graded practice questions (with answers) on quadratic graphs: drawing for drill or a quick check.
VideoStarter
Corbettmaths video: Quadratic graphs: drawing
Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
Use it for: Short worked-example video on quadratic graphs: drawing to model the method before practice or for flipped revision.

Represent quadratic and exponential relationships using graphing applications

Stage 5 · Non-linear relationships A Draft mapping

Interactive toolStarter Enrichment
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.