Networks
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Focus areas in this topic
Stage 5: Introduction to networks (Path) · Mathematics Standard 11–12 – Year 11: Networks, paths and trees · Mathematics Standard 11–12 – Year 12 – Standard 2: Critical path analysis · Mathematics Standard 11–12 – Year 12 – Standard 2: Network flow
Stage 5 (Year 9, 10)
- Interactive toolStarterMathigon: Bridges of KönigsbergUse it for: Students try the Königsberg puzzle, then learn Eulerian trails and circuits.
- Interactive toolEnrichmentMathigon: Graph TheoryUse it for: Bridges of Königsberg, Euler paths and planar graphs, interactively.
- Mathigon: Handshakes and datingUse it for: Extension puzzles on counting edges and degree sums.
- Mathigon: Map colouringUse it for: Enrichment: four-colour theorem and planar graph faces.
- Interactive toolStarterMathigon: Planar graphs and Euler's formulaUse it for: Untangle graphs to make them planar and discover v - e + f = 2.
- Interactive toolStarterMathsisfun: Euler paths (Konigsberg)Use it for: Seven Bridges of Königsberg puzzle.
- NRICH: EulerianUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- Unit/PlanningSample unit – Stage 5: introduction to networks
- Unit/PlanningStage 5 Unit 1 – geometric representations (sample unit of learning)
Standard Year 11 (Year 11)
- Interactive toolEnrichmentMathigon: Graph TheoryUse it for: Bridges of Königsberg, Euler paths and planar graphs, interactively.
- Mathigon: Travelling salesman problemUse it for: Extension on shortest routes in networks.
- NRICH: Network TreesUse it for: Low-floor, high-ceiling NRICH task extending this dot point; use for extension or a problem-solving lesson.
- Unit/PlanningMathematics Standard (2024) Year 11 Unit 5 – going places (9 lessons)