Support · Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions
Support Use graphing applications to identify the graphs of y = a^x and y = log_ax as reflections of each other in the line y = x, in cases where a > 1 and 0
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
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.
Solve simple equations that involve exponents or logarithms
Stage 5 · Logarithms (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Exponential equationsUse it for: Printable skills-practice sheet with answer key on exponential equations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Logarithmic equationsUse it for: Printable skills-practice sheet with answer key on logarithmic equations; good for drill or homework.
Establish and use a variety of logarithmic results
Stage 5 · Logarithms (Path) Draft mapping
No checked resources on this prerequisite dot point yet.