Support · Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation
Support Estimate the instantaneous rate of change of a non-linear function at a given point from a given graph of a practical situation
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
Recognise non-linear relationships in real-life contexts and solve related problems
Stage 5 · Non-linear relationships B Draft mapping
No checked resources on this prerequisite dot point yet.
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.
Construct a table of values to graph non-linear relationships involving quadratics and exponentials
Stage 5 · Non-linear relationships A Draft mapping
- 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.