Support · Mathematics Standard 11–12 – Year 12 – Standard 1 · Algebraic relationships
Support Solve a pair of simultaneous linear equations by finding the point of intersection of their graphs, with and without 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
Solve linear simultaneous equations by finding the point of intersection of their graphs
Stage 5 · Equations C (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- WorksheetDrillKuta free worksheet: Systems of equations by graphingUse it for: Printable skills-practice sheet with answer key on systems of equations by graphing; good for drill or homework.
- VideoStarterCorbettmaths video: Simultaneous equations (graphical)Use it for: Short worked-example video on simultaneous equations (graphical) to model the method before practice or for flipped revision.
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.
Find points where a line intersects with a parabola, hyperbola or circle, both graphically and algebraically
Stage 5 · Non-linear relationships C (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Line-parabola/circle intersectionsUse it for: Printable skills-practice sheet with answer key on line-parabola/circle intersections; good for drill or homework.
- VideoStarterCorbettmaths video: Simultaneous equations (advanced)Use it for: Short worked-example video on simultaneous equations (advanced) to model the method before practice or for flipped revision.