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NSW Education Standards Authority

11–12Mathematics Standard 11–12 Syllabus

Record of changes
Implementation from 2026
Expand for detailed implementation advice

Content

Year 11

Networks, paths and trees
Network concepts
  • Describe a network as a collection of objects (vertices) interconnected by lines (edges) that can represent systems in the real world

  • Define and use the network terminology: vertex, edge, degree, directed networks and weighted edges

  • Examine circumstances in which networks are used in a variety of real-world applications

  • Construct a network diagram to represent information from a given table or map, showing weighted and directed edges

  • Solve problems involving network diagrams in a variety of practical contexts

Shortest paths and spanning trees
  • Define and use the network terminology: path, tree, spanning tree and minimum spanning tree

  • Determine the minimum spanning tree of a network with weighted edges, using any method

  • Use minimum spanning trees to solve minimal connector problems

  • Identify a shortest path on a network diagram with no more than 10 vertices

  • Describe a circumstance in which a shortest path is not necessarily the best path nor contained in any minimum spanning tree

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