Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Define a real function f of a real variable x as a relation where each element x of a given set is associated with exactly one element y of the second set
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
Define a function as a relation over 2 sets where each element of the first set is associated with exactly one element in the second set
Stage 5 · Functions and other graphs (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: What is a function?Use it for: Functions vs relations explained with mapping diagrams.
- PhET Function BuilderUse it for: Input-output machines for writing rules and functions.
- Corbettmaths practice questions: Function MachinesUse it for: Free printable graded practice questions (with answers) on function machines for drill or a quick check.
- VideoStarterCorbettmaths video: Function MachinesUse it for: Short worked-example video on function machines to model the method before practice or for flipped revision.
Define a relation over 2 sets as an association between the elements of one set to the elements of another set
Stage 5 · Functions and other graphs (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: What is a function?Use it for: Functions vs relations explained with mapping diagrams.
Define the range as the set of possible y-values as x varies over the domain of the function
Stage 5 · Functions and other graphs (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Domain and rangeUse it for: Domain and range explained with examples.