Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus

Support Use integration to solve practical problems on the rate of change of a quantity Q, where dQ/dt or (d²Q)/(dt²) is given as a function of time t, together with sufficient initial conditions

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.

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Prerequisite dot points

Recognise when modelling with a linear function that its gradient is the rate of change and determine the rate of change for linear functions in practical situations

Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping

No checked resources on this prerequisite dot point yet.

Find the equation of a parabola given sufficient graphical features

Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping

No checked resources on this prerequisite dot point yet.

Recognise speed as a rate of change of distance with respect to time

Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping

No checked resources on this prerequisite dot point yet.