Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Algebraic relationships
Support Graph an exponential relationship of the form y = a^x and y = a^(- x), where a > 0, with and without using graphing applications
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
Represent quadratic and exponential relationships using graphing applications
Stage 5 · Non-linear relationships A 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.
- Interactive toolDrillMathsisfun: Function grapherUse it for: Plot functions quickly.
Graph and compare exponential curves of the form y = a^x using graphing applications
Stage 5 · Non-linear relationships B 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.
- WorksheetDrillKuta free worksheet: Exponential functions and graphsUse it for: Printable skills-practice sheet with answer key on exponential functions and graphs; good for drill or homework.
Simplify algebraic expressions involving algebraic fractions using factorisation
Stage 5 · Algebraic techniques C (Path) Draft mapping
- Corbettmaths practice questions: Algebraic fractions: additionUse it for: Free printable graded practice questions (with answers) on algebraic fractions: addition for drill or a quick check.
- WorksheetDrillKuta free worksheet: Simplifying algebraic fractionsUse it for: Printable skills-practice sheet with answer key on simplifying algebraic fractions; good for drill or homework.
- VideoStarterCorbettmaths video: Algebraic fractions: simplifyingUse it for: Short worked-example video on algebraic fractions: simplifying to model the method before practice or for flipped revision.