Support · Mathematics Advanced 11–12 – Year 12 · Integral calculus
Support Model and solve practical problems involving integrals and areas of regions bounded by a curve and the x -axis, or by a curve and the y -axis, involving functions within the scope of the Mathematics Advanced course
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
Graph piecewise-defined functions involving functions covered in the scope of the Mathematics Advanced course, test if they are even or odd, and determine the domain and range
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Examine the gradient of a curve at a point on the curve using graphing applications
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation 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.
Use the rules for differentiation to find equations of tangents and normals to a curve at points on the curve
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.