Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Solve problems by finding the solution to simultaneous equations involving a linear and a quadratic function, or two quadratic functions, both algebraically and graphically
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
Apply the quadratic formula x = (- b±√(b² - 4ac))/(2a) to solve quadratic equations
Stage 5 · Equations C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Quadratic equationsUse it for: The quadratic formula and discriminant with an interactive graph.
- Corbettmaths practice questions: Quadratics: formulaUse it for: Free printable graded practice questions (with answers) on quadratics: formula for drill or a quick check.
- WorksheetDrillKuta free worksheet: Quadratic formulaUse it for: Printable skills-practice sheet with answer key on quadratic formula; good for drill or homework.
- VideoStarterCorbettmaths video: Quadratics: formulaUse it for: Short worked-example video on quadratics: formula to model the method before practice or for flipped revision.
Use substitution to verify solutions to quadratic equations
Stage 5 · Equations C (Path) Draft mapping
No checked resources on this prerequisite dot point yet.
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.