Support · Stage 5 · Linear relationships C (Path)
Support Use the relationship m = (rise)/(run) to establish the formula for the gradient/slope (m) of the interval joining the 2 points (x_1,y_1) and (x_2,y_2) on the Cartesian plane: m = (y_2 - y_1)/(x_2 - x_1)
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
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.
Apply the process for calculating the mean to find the midpoint, M of the interval joining 2 points on the Cartesian plane
Stage 5 · Linear relationships A Draft mapping
- Interactive toolStarterMaths Is Fun: Midpoint of a line segmentUse it for: Interactive midpoint finder.
- Corbettmaths practice questions: CoordinatesUse it for: Free printable graded practice questions (with answers) on coordinates for drill or a quick check.
- VideoStarterCorbettmaths video: Coordinates: midpoint of a lineUse it for: Short worked-example video on coordinates: midpoint of a line to model the method before practice or for flipped revision.
Use the interval between 2 points as the hypotenuse of a right-angled triangle on the Cartesian plane and apply Pythagoras’ theorem to determine the length of the interval joining the 2 points
Stage 5 · Linear relationships A Draft mapping
- Interactive toolStarterMathsisfun: Distance between 2 pointsUse it for: Distance via Pythagoras with interactive graph.
- Corbettmaths practice questions: Coordinates: distance between 2 pointsUse it for: Free printable graded practice questions (with answers) on coordinates: distance between 2 points for drill or a quick check.
- VideoStarterCorbettmaths video: Coordinates: distance between 2 pointsUse it for: Short worked-example video on coordinates: distance between 2 points to model the method before practice or for flipped revision.