Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Define a function to be even if its graph is unchanged under reflection in the y -axis, and odd if its graph is unchanged under rotation of 180° about the origin
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
Use graphing applications to graph and compare functions of the form y = f(x),y = f(x) + c, y = f(x - b), y = kf(x) and y = f(ax), and describe their transformations
Stage 5 · Functions and other graphs (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Determine and plot the coordinates for P' resulting from rotating P by a multiple of 90^° about the origin
Stage 5 · Linear relationships C (Path) Draft mapping
- Interactive toolStarterMathigon: Rigid transformationsUse it for: Drag-and-drop translations, reflections and rotations on the plane.
- Corbettmaths practice questions: RotationsUse it for: Free printable graded practice questions (with answers) on rotations for drill or a quick check.
- WorksheetDrillKuta free worksheet: RotationsUse it for: Printable skills-practice sheet with answer key on rotations; good for drill or homework.
- WorksheetDrillKuta free worksheet: Rotations of shapesUse it for: Printable skills-practice sheet with answer key on rotations of shapes; good for drill or homework.
- VideoStarterCorbettmaths video: RotationsUse it for: Short worked-example video on rotations to model the method before practice or for flipped revision.
Use graphing applications to graph a variety of equations of the form y = (kx)ⁿ, where n is an integer and n ≥ 2, and describe the effect on the shape of the curve where n is an odd or an even number
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.