Mathematics
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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

Learning Objectives

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Solving Quadratics

  1. 1. Factorise quadratic expressions (monic and non-monic) and solve by the null factor law.
  2. 2. Solve quadratic equations using the quadratic formula.
  3. 3. Complete the square and convert between expanded, factorised and vertex forms.

Quadratic Graphs and Modelling

  1. 4. Identify key features of a quadratic graph: vertex, axis of symmetry, $x$- and $y$-intercepts.
  2. 5. Use the GDC to explore quadratic features, including optimisation.
  3. 6. Solve real-world quadratic modelling problems (projectile, area, profit).
  4. 7. Solve quadratic inequalities by sketch or sign-table.
  5. 8. Use the discriminant $b^2 - 4ac$ to determine the nature of roots.
  6. 9. Apply the discriminant to tangency / intersection problems with a line.

Review Pack

Open review hub
Fluency Pack A — 40 questions
Fluency Pack B — 40 questions
Problem-solving — 12 unfamiliar tasks
Worked solutions (Pack A + B + problems)

Dr Frost Maths

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