Support · Mathematics Extension 1 11–12 – Year 11 · Further work with functions
Support Solve cubic inequalities where the cubic is expressed as a product of linear factors
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 and graph cubic functions of the form f(x) = kx³ and f(x) = k(x - a)(x - b)(x - c), where a, b, c and k are constants and k≠0
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Use graphing applications to graph and compare features of cubic equations of the form y = ax³ + c, where a and c are integers
Stage 5 · Non-linear relationships C (Path) 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.
- Corbettmaths practice questions: Types of graph: cubicsUse it for: Free printable graded practice questions (with answers) on types of graph: cubics for drill or a quick check.
- VideoStarterCorbettmaths video: Types of graph: cubicsUse it for: Short worked-example video on types of graph: cubics to model the method before practice or for flipped revision.
Solve linear inequalities and graph the solution on a number line
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.