Support · Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions
Support Justify the logarithmic results log_aa = 1, log_a1 = 0 and log_a(1/x) = - log_ax
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
Use graphing applications to compare and contrast graphs for the functions y = a^x and y = log_ax
Stage 5 · Logarithms (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.
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.
Recognise equivalence where y = a^x is equivalent to x = log_ay where a > 0and a≠1
Stage 5 · Logarithms (Path) Draft mapping
No checked resources on this prerequisite dot point yet.