Support · Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation
Support Describe the behaviour of a function at a point as stationary when the tangent at the point is parallel to the x -axis, and recognise that f(x) is stationary at x = c when f'(c) = 0
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
Recognise y = c as a line parallel to the x-axis and x = k as a line parallel to the y-axis
Stage 5 · Linear relationships A Draft mapping
- Corbettmaths practice questions: Linear graphs: drawing (xy table)Use it for: Free printable graded practice questions (with answers) on linear graphs: drawing (xy table) for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: x=a graphsUse it for: Short worked-example video on linear graphs: x=a graphs to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Linear graphs: y=a graphsUse it for: Short worked-example video on linear graphs: y=a graphs to model the method before practice or for flipped revision.
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.