Support · Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation
Support Identify stationary points on the graph of a cubic function, and the values of x for which the function is increasing and/or decreasing, by first calculating the derivative, 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.
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
Explain the effect of increasing or decreasing the gradient with or without digital tools
Stage 5 · Linear relationships B Draft mapping
- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
- Interactive toolStarterMathsisfun: Equation of a Straight LineUse it for: Adjust m and b to see the line change.
- PhET Graphing LinesUse it for: Explore gradient and intercept; the Line Game screen gives quick practice.
- SimulationDrillPhET Graphing Slope-InterceptUse it for: Graph y = mx + c by dragging slope and intercept.
Generalise that y = log_ax is an increasing function when a > 1 and decreasing when 0
Stage 5 · Logarithms (Path) Draft mapping
No checked resources on this prerequisite dot point yet.
Use graphing applications to graph and compare functions of the form y = f(x),y = f(x) + c, y = f(x - b), y = kf(x) and y = f(ax), and describe their transformations
Stage 5 · Functions and other graphs (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.