Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Solve quadratic equations ax² + bx + c = 0 by factorisation, completing the square and using the quadratic formula x = (- b±√(b² - 4ac))/(2a) where a, b and c are real numbers and a≠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.
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.
Solve equations of the form (ax)² + bx + c = 0 by factorisation and by completing the square
Stage 5 · Equations C (Path) Draft mapping
- Interactive toolStarterMathigon: Quadratic equationsUse it for: Visual introduction to parabolas and solving quadratics.
- Interactive toolStarterMaths Is Fun: Completing the squareUse it for: Visual explanation of completing the square.
- Corbettmaths practice questions: Algebra: completing the squareUse it for: Free printable graded practice questions (with answers) on algebra: completing the square for drill or a quick check.
- Corbettmaths practice questions: Quadratics: solving (factorising)Use it for: Free printable graded practice questions (with answers) on quadratics: solving (factorising) for drill or a quick check.
- WorksheetDrillKuta free worksheet: Solving quadratics by completing the squareUse it for: Printable skills-practice sheet with answer key on solving quadratics by completing the square; good for drill or homework.
- WorksheetDrillKuta free worksheet: Solving quadratics by factoringUse it for: Printable skills-practice sheet with answer key on solving quadratics by factoring; good for drill or homework.
- VideoStarterCorbettmaths video: Algebra: completing the squareUse it for: Short worked-example video on algebra: completing the square to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Quadratics: solving (factorising)Use it for: Short worked-example video on quadratics: solving (factorising) to model the method before practice or for flipped revision.
Solve quadratic equations of the form ax² + bx + c = 0, limited to a = 1, using factors
Stage 5 · Equations B (Path) Draft mapping
- Corbettmaths practice questions: Quadratics: solving (factorising)Use it for: Free printable graded practice questions (with answers) on quadratics: solving (factorising) for drill or a quick check.
- WorksheetDrillKuta free worksheet: Solving quadratics by factoringUse it for: Printable skills-practice sheet with answer key on solving quadratics by factoring; good for drill or homework.
- VideoStarterCorbettmaths video: Quadratics: solving (factorising)Use it for: Short worked-example video on quadratics: solving (factorising) to model the method before practice or for flipped revision.