MYP 5Year 11Term 1–2
11.4 Quadratic Functions
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
Algebra
9 objectives
Learning objectives
What students should be able to do by the end of this unit.
Solving Quadratics
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- Factorise quadratic expressions (monic and non-monic) and solve by the null factor law.
- Solve quadratic equations using the quadratic formula.
- Complete the square and convert between expanded, factorised and vertex forms.
Quadratic Graphs and Modelling
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- Identify key features of a quadratic graph: vertex, axis of symmetry, $x$- and $y$-intercepts.
- Use the GDC to explore quadratic features, including optimisation.
- Solve real-world quadratic modelling problems (projectile, area, profit).
- Solve quadratic inequalities by sketch or sign-table.EXT
- Use the discriminant $b^2 - 4ac$ to determine the nature of roots.EXT
- Apply the discriminant to tangency / intersection problems with a line.EXT
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.