Support · Stage 5 · Linear relationships C (Path)
Support Apply knowledge of Pythagoras’ theorem to establish the formula for the distance (d) between the 2 points (x_1,y_1) and (x_2,y_2) on the Cartesian plane: d = √((x_2 - x_1)² + (y_2 - y_1)²)
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 graphing applications to find the distance between 2 points on the Cartesian plane
Stage 5 · Linear relationships A Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
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.
Construct tables of values and use coordinates to graph a variety of linear relationships on the Cartesian plane, with and without digital tools
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: drawing (xy table)Use it for: Short worked-example video on linear graphs: drawing (xy table) to model the method before practice or for flipped revision.