Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Show by completing the square on the general quadratic y = ax² + bx + c that the axis of symmetry is x = - b/(2a) where a, b and c are constants
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
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.
Determine the equation of the axis of symmetry of a parabola using either the formula x = - b/(2a) or the midpoint of the x-intercepts
Stage 5 · Non-linear relationships C (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Properties of parabolasUse it for: Printable skills-practice sheet with answer key on properties of parabolas; good for drill or homework.
- VideoStarterCorbettmaths video: Quadratic graphs: line of symmetryUse it for: Short worked-example video on quadratic graphs: line of symmetry to model the method before practice or for flipped revision.
Use the notation f(x) when expressing a function
Stage 5 · Functions and other graphs (Path) Draft mapping
No checked resources on this prerequisite dot point yet.