Support · Mathematics Advanced 11–12 – Year 12 · Integral calculus
Support Graph the region between the continuous function y = f(x) and the x -axis, where f(x) ≥ 0 on the interval a ≤ x ≤ b
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 that replacing x by - x in the equation of a graph corresponds to the reflection of the graph in the y -axis, and that replacing y by - y corresponds to a reflection in the x -axis
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.
Identify points where piecewise-defined functions and other functions are not continuous
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Define a discontinuity of a function informally as a point where the function is not continuous
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.