11.4 Quadratic Functions
Term 1–2
Solving by factorising and quadratic formula · Completing the square · Switching between forms · Quadratic graphs (vertex, axis of symmetry, roots, intercepts) · Quadratic modelling · [EXT] Inequalities · [EXT] Use of discriminant
Objectifs d'apprentissage
ImprimerSolving Quadratics
- 1. Factorise quadratic expressions (monic and non-monic) and solve by the null factor law.
- 2. Solve quadratic equations using the quadratic formula.
- 3. Complete the square and convert between expanded, factorised and vertex forms.
Quadratic Graphs and Modelling
- 4. Identify key features of a quadratic graph: vertex, axis of symmetry, $x$- and $y$-intercepts.
- 5. Use the GDC to explore quadratic features, including optimisation.
- 6. Solve real-world quadratic modelling problems (projectile, area, profit).
- 7. Solve quadratic inequalities by sketch or sign-table.
- 8. Use the discriminant $b^2 - 4ac$ to determine the nature of roots.
- 9. Apply the discriminant to tangency / intersection problems with a line.
Pack de révision
Ouvrir le hub de révision
Fluency Pack A — 40 questions
Fluency Pack B — 40 questions
Problem-solving — 12 unfamiliar tasks
Worked solutions (Pack A + B + problems)