Support · Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation
Support Find points on a curve where the tangent or normal has a given gradient
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 gradient and the point–gradient form to find the equation of a line passing through 2 points
Stage 5 · Linear relationships C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Point-slope formUse it for: Point-gradient form of a line explained.
- Corbettmaths practice questions: Linear graphs: y=mx+cUse it for: Free printable graded practice questions (with answers) on linear graphs: y=mx+c for drill or a quick check.
- VideoStarterCorbettmaths video: Linear graphs: equation through 2 pointsUse it for: Short worked-example video on linear graphs: equation through 2 points to model the method before practice or for flipped revision.
Apply the gradient formula to find the gradient of the interval joining 2 points on the Cartesian plane
Stage 5 · Linear relationships C (Path) Draft mapping
- Interactive toolStarterMathsisfun: Gradient (slope)Use it for: Rise over run with interactive line.
- Corbettmaths practice questions: Linear graphs: gradient of a lineUse it for: Free printable graded practice questions (with answers) on linear graphs: gradient of a line for drill or a quick check.
- WorksheetDrillKuta free worksheet: Finding gradient from two pointsUse it for: Printable skills-practice sheet with answer key on finding gradient from two points; good for drill or homework.
- VideoStarterCorbettmaths video: Linear graphs: gradient between pointsUse it for: Short worked-example video on linear graphs: gradient between points to model the method before practice or for flipped revision.
Apply the relationship gradient m = (rise)/(run) to find the gradient/slope of the interval joining the 2 points
Stage 5 · Linear relationships A Draft mapping
- Interactive toolStarterMaths Is Fun: Gradient (slope)Use it for: Interactive line showing rise over run.
- Corbettmaths practice questions: Linear graphs: gradient of a lineUse it for: Free printable graded practice questions (with answers) on linear graphs: gradient of a line for drill or a quick check.
- WorksheetDrillKuta free worksheet: Finding slope (gradient)Use it for: Printable skills-practice sheet with answer key on finding slope (gradient); good for drill or homework.
- VideoStarterCorbettmaths video: Linear graphs: gradient of a lineUse it for: Short worked-example video on linear graphs: gradient of a line to model the method before practice or for flipped revision.
- VideoStarterEddie Woo (WooTube): Basic Linear Relationships playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on linear relationships; play a clip to model a method or for revision.