Support · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus
Support Explore problems given a slope field representing a practical context and justify conclusions
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
Model and solve growth and decay problems in various contexts using dQ/dt = kQ, Q = Ae^(kt) and the graph of Q = Ae^(kt) for t ≥ 0, and justify conclusions in the context of the problem
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Graph the function Q = Ae^(kt), where k > 0 and k and A > 0 and A, with and without graphing applications, and identify any asymptotes
Mathematics Advanced 11–12 – Year 12 · Applications of calculus 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.
Formulate conclusions to optimisation problems by evaluating solutions given the constraints of the domain
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.