Support · Mathematics Standard 11–12 – Year 11 · Formulas and equations
Support Calculate distance, speed and time (with change of units of measurement as required) and stopping distances of vehicles using speed = distance/time and stopping distance = reaction distance + braking distance
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 distance formula to find the distance between 2 points on the Cartesian plane
Stage 5 · Linear relationships C (Path) 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.
- WorksheetDrillKuta free worksheet: Distance formulaUse it for: Printable skills-practice sheet with answer key on distance formula; good for drill or homework.
- 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.
Derive the equation of a circle x² + y² = r² with centre (0,0) and radius r using the distance formula
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Equation of a circleUse it for: Derives x² + y² = r² from Pythagoras, with an interactive.
- Corbettmaths practice questions: Algebra: equation of a circleUse it for: Free printable graded practice questions (with answers) on algebra: equation of a circle for drill or a quick check.
- VideoStarterCorbettmaths video: Algebra: equation of a circleUse it for: Short worked-example video on algebra: equation of a circle to model the method before practice or for flipped revision.
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.