Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Ratios and rates

Support Express a ratio in simplest form

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.

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Prerequisite dot points

Graph equations representing direct variation, with or without digital tools

Stage 5 · Variation and rates of change A (Path) Draft mapping

  • Interactive toolStarterEnrichment
    Desmos Graphing Calculator
    Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.

Solve problems involving direct or inverse variation using an equation

Stage 5 · Variation and rates of change A (Path) Draft mapping

  • Interactive toolStarter
    Maths Is Fun: Directly and inversely proportional
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Direct and inverse variation explained with examples and questions.
  • Corbettmaths practice questions: Proportion: direct
    Corbettmaths · Web page · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Free printable graded practice questions (with answers) on proportion: direct for drill or a quick check.
  • WorksheetDrill
    Kuta free worksheet: Direct and inverse variation
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on direct and inverse variation; good for drill or homework.
  • WorksheetDrill
    Kuta free worksheet: Direct variation
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on direct variation; good for drill or homework.
  • VideoStarter
    Corbettmaths video: Proportion: direct
    Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Short worked-example video on proportion: direct to model the method before practice or for flipped revision.
  • VideoStarter
    Corbettmaths video: Proportion: inverse
    Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Short worked-example video on proportion: inverse to model the method before practice or for flipped revision.

Use linear conversion graphs to convert from one unit to another

Stage 5 · Variation and rates of change A (Path) Draft mapping