Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus
Support Graph y = f'(x) and y = f''(x) for a function y = f(x), given only a graph of y = f(x)
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
Establish, using graphing applications, replacing x by x/k and replacing y by y/k in the equation of a graph corresponds to a dilation by a factor of k, that is, an enlargement of the graph when k > 1 and a reduction of the graph when 0
Mathematics Advanced 11–12 – Year 11 · Graph transformations 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.
Graph y = f^'(x) for a given graph of a function y = f(x)
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Graph circles given their equations and find the equation of a circle from its graph
Mathematics Advanced 11–12 – Year 11 · Graph transformations Draft mapping
No checked resources on this prerequisite dot point yet.