Support · Stage 5 · Non-linear relationships C (Path)
Support Establish the equation of the circle with centre (a,b) and radius r, and graph equations of the form (x - a)² + (y - b)² = r²
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.
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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.
Use graphing applications to solve a pair of simultaneous equations where one equation is non-linear and interpret the solution
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.
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.