Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Define the discriminant as Δ = b² - 4ac and use it to solve problems involving the number of real roots of a quadratic equation and determine the conditions for roots to be equal, distinct, real or rational
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.
Relate the term zeroes to polynomial functions and roots to polynomial equations
Stage 5 · Polynomials (Path) Draft mapping
No checked resources on this prerequisite dot point yet.
Graph polynomials using the sign of the leading term and the multiplicity of roots for the equation P(x) = 0
Stage 5 · Polynomials (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Polynomial graphs: basic shapeUse it for: Printable skills-practice sheet with answer key on polynomial graphs: basic shape; good for drill or homework.