Support · Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors
Support Find the Cartesian equation of the path of an object, where the path is a straight line, parabola or circle
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
Graph the equation of a straight line in any form
Stage 5 · Linear relationships C (Path) Draft mapping
- Desmos Classroom: Marbleslides (Lines)Use it for: Students adjust line equations and domains so marbles hit stars.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- Interactive toolStarterMathsisfun: Equation of a Straight LineUse it for: Adjust m and b to see the line change.
- SimulationDrillPhET Graphing Slope-InterceptUse it for: Graph y = mx + c by dragging slope and intercept.
- WorksheetDrillKuta free worksheet: Graphing lines in standard (general) formUse it for: Printable skills-practice sheet with answer key on graphing lines in standard (general) form; good for drill or homework.
Represent inequalities on a number line
Stage 5 · Equations B (Path) Draft mapping
- Corbettmaths practice questions: Inequalities on a number lineUse it for: Free printable graded practice questions (with answers) on inequalities on a number line for drill or a quick check.
- WorksheetDrillKuta free worksheet: Graphing single-variable inequalitiesUse it for: Printable skills-practice sheet with answer key on graphing single-variable inequalities; good for drill or homework.
- VideoStarterCorbettmaths video: Inequalities on a number lineUse it for: Short worked-example video on inequalities on a number line to model the method before practice or for flipped revision.
Find points where a line intersects with a parabola, hyperbola or circle, both graphically and algebraically
Stage 5 · Non-linear relationships C (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Line-parabola/circle intersectionsUse it for: Printable skills-practice sheet with answer key on line-parabola/circle intersections; good for drill or homework.
- VideoStarterCorbettmaths video: Simultaneous equations (advanced)Use it for: Short worked-example video on simultaneous equations (advanced) to model the method before practice or for flipped revision.