Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Define informally that a function is continuous at a point if the curve can be drawn through the point without lifting the pen off the paper
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 the point–gradient form (y - y_1 = m(x - x_1)) or the gradient–intercept form (y = mx + c) to find the equation of a line passing through a point (x_1,y_1), with a given gradient m
Stage 5 · Linear relationships C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Point-slope formUse it for: Point-gradient form of a line explained.
- PhET Graphing LinesUse it for: Explore gradient and intercept; the Line Game screen gives quick practice.
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.
Determine and describe the domain and range for a variety of functions
Stage 5 · Functions and other graphs (Path) Draft mapping
No checked resources on this prerequisite dot point yet.