Support · Mathematics Extension 1 11–12 – Year 11 · Further work with functions
Support Examine the relationship between the graph of y = f(x) and the graph of y = 1/(f(x)) using graphing applications, and graph y = 1/(f(x)) given y = f(x) in algebraic or graphical form, identifying any vertical and horizontal asymptotes of y = f(x) and y = 1/(f(x))
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
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.
Graph vertical and horizontal lines
Stage 5 · Linear relationships A Draft mapping
- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
- PhET Graphing LinesUse it for: Explore gradient and intercept; the Line Game screen gives quick practice.
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: x=a graphsUse it for: Short worked-example video on linear graphs: x=a graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: y=a graphsUse it for: Short worked-example video on linear graphs: y=a graphs to model the method before practice or for flipped revision.
Graph y = f'(x) and y = f''(x) for a function y = f(x), given only a graph of y = f(x)
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.