Enrich · Stage 4 · Linear relationships

Enrich Explain that there are an infinite number of ordered pairs that satisfy a given linear relationship by extending a line joining a set of points on the Cartesian plane

Extension and enrichment for students who are ready to go deeper: rich tasks, problem solving and open-ended challenges.

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More enrichment in Linear relationships

Rich tasks tagged to other dot points in this focus area.

• Interactive toolEnrichmentEnrich
  Mathigon: Fibonacci numbers
  Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
  Use it for: Enrichment on Fibonacci patterns in nature.
• Interactive toolEnrichmentEnrich
  Mathigon: Figurate numbers
  Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
  Use it for: Extension: triangular, square and pentagonal number patterns.
• Interactive toolEnrichmentEnrich
  Mathigon: Sierpinski triangle
  Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
  Use it for: Enrichment on self-similar patterns and powers.
• Rich taskEnrichmentEarly finishersEnrich
  NRICH: Charlie's Delightful Machine
  NRICH (University of Cambridge) · Web page · Free · Link checked 2026-10-15 · Low floor high ceiling, Teacher notes
  Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
• Rich taskEnrichmentEarly finishersEnrich
  NRICH: Cubes Within Cubes
  NRICH (University of Cambridge) · Web page · Free · Link checked 2026-10-15 · Low floor high ceiling, Teacher notes
  Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
• Rich taskEnrichmentEarly finishersEnrich
  NRICH: Seven Squares
  NRICH (University of Cambridge) · Web page · Free · Link checked 2026-10-15 · Low floor high ceiling, Teacher notes
  Use it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
• Rich taskStarterEnrich
  Visual Patterns (Fawn Nguyen)
  visualpatterns.org · Web page · Free · Link checked 2026-10-15 · Low floor high ceiling
  Use it for: Hundreds of growing picture patterns; students find the rule and predict step 43.