Support · Stage 5 · Non-linear relationships C (Path)
Support Graph quadratic relationships of the form y = (ax)² + bx + c by identifying and applying features of parabolas and their equations without graphing software
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.
Prerequisite dot points
Explain that quadratic relationships are represented by parabolas
Stage 5 · Non-linear relationships A Draft mapping
- Interactive toolStarterMathigon: Quadratic equationsUse it for: Visual introduction to parabolas and solving quadratics.
- PhET Graphing QuadraticsUse it for: See how coefficients change a parabola and locate the vertex.
- Corbettmaths practice questions: Quadratic graphs: drawingUse it for: Free printable graded practice questions (with answers) on quadratic graphs: drawing for drill or a quick check.
- VideoStarterCorbettmaths video: Quadratic graphs: drawingUse it for: Short worked-example video on quadratic graphs: drawing to model the method before practice or for flipped revision.
Graph and compare parabolas of the form y = (kx)² and y = (kx)² + c using graphing applications
Stage 5 · Non-linear relationships B Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- PhET Graphing QuadraticsUse it for: See how coefficients change a parabola and locate the vertex.
Represent quadratic and exponential relationships using graphing applications
Stage 5 · Non-linear relationships A Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- Interactive toolDrillMathsisfun: Function grapherUse it for: Plot functions quickly.