Support · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus
Support Calculate the volume of a solid of revolution formed by rotating a region in the plane about the x -axis or y -axis in both real-life and abstract contexts
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
Conclude, for a continuous function y = f(x) on the interval a ≤ x ≤ b, that ∫abf(x)dx = (area of regions between curve and x -axis lying above the x -axis) - (area of regions between curve and the x -axis lying below the x -axis)
Mathematics Advanced 11–12 – Year 12 · Integral calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Graph the region between the continuous function y = f(x) and the x -axis, where f(x) ≥ 0 on the interval a ≤ x ≤ b
Mathematics Advanced 11–12 – Year 12 · Integral calculus Draft mapping
No checked resources on this prerequisite dot point yet.
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
Mathematics Advanced 11–12 – Year 12 · Integral calculus Draft mapping
No checked resources on this prerequisite dot point yet.