Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Solve practical problems involving a pair of simultaneous linear equations both algebraically and graphically, with and without graphing applications, and justify conclusions in the context of the problem
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 solve a pair of simultaneous equations where one equation is non-linear and interpret the solution
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.
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.
Solve linear simultaneous equations using algebraic techniques including substitution and elimination methods
Stage 5 · Equations C (Path) Draft mapping
- Corbettmaths practice questions: Simultaneous equations (elimination)Use it for: Free printable graded practice questions (with answers) on simultaneous equations (elimination) for drill or a quick check.
- WorksheetDrillKuta free worksheet: Simultaneous equations by eliminationUse it for: Printable skills-practice sheet with answer key on simultaneous equations by elimination; good for drill or homework.
- WorksheetDrillKuta free worksheet: Simultaneous equations by substitutionUse it for: Printable skills-practice sheet with answer key on simultaneous equations by substitution; good for drill or homework.
- VideoStarterCorbettmaths video: Simultaneous equations (elimination)Use it for: Short worked-example video on simultaneous equations (elimination) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Simultaneous equations (substitution, both linear)Use it for: Short worked-example video on simultaneous equations (substitution, both linear) to model the method before practice or for flipped revision.