Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Algebraic relationships
Support Recognise the parabolic shape of a quadratic relationship, noting its vertex and axis of symmetry
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
Identify and describe the key features of parabolas of the form y = (kx)² and y = (kx)² + c including the vertex, x- and y-intercepts, axis of symmetry and concavity
Stage 5 · Non-linear relationships B Draft mapping
No checked resources on this prerequisite dot point yet.
Explain that quadratic relationships are represented by parabolas
Stage 5 · Non-linear relationships A Draft mapping
- Interactive toolStarterMathigon: Quadratic equationsUse it for: Visual introduction to parabolas and solving quadratics.
- PhET Graphing QuadraticsUse it for: See how coefficients change a parabola and locate the vertex.
- Corbettmaths practice questions: Quadratic graphs: drawingUse it for: Free printable graded practice questions (with answers) on quadratic graphs: drawing for drill or a quick check.
- VideoStarterCorbettmaths video: Quadratic graphs: drawingUse it for: Short worked-example video on quadratic graphs: drawing 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.