Support · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus
Support Develop models in contexts where a rate of change of a function can be expressed as a rate of change of a composition of two functions, so that the chain rule can be applied
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.
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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.
Describe and examine the graphs of practical situations where the rate of change of a quantity is proportional to the quantity
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.
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
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.