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NSW Syllabuses

Mathematics Standard Stage 6 - Year 12 Standard 1 - Networks MS-N1 Networks and Paths

Outcomes

A student:

  • MS1-12-8

    applies network techniques to solve network problems

  • MS1-12-9

    chooses and uses appropriate technology effectively and recognises appropriate times for such use

  • MS1-12-10

    uses mathematical argument and reasoning to evaluate conclusions, communicating a position clearly to others

Related Life Skills outcomes: MALS6-11, MALS6-12, MALS6-13, MALS6-14

 

  • Subtopic Focus

  • The principal focus of this subtopic is to identify and use network terminology and to solve problems involving networks.
  • Students develop their appreciation of the applicability of networks throughout their lives, for example social networks, and their ability to use associated techniques to optimise practical problems.
  • Content

  • N1.1: Networks
  • Students:
  • recognise circumstances in which networks could be used, eg the cost of connecting various locations on a university campus with computer cables AHCCCTICTCC
  • given a map, draw a network to represent the map, eg travel times for the stages of a planned journey CCT
  • draw a network diagram to represent information given in a table
  • N1.2: Shortest paths
  • Students:
  • determine the minimum spanning tree by using Kruskal's or Prim's algorithms or by inspection
  • determine the definition of a tree and a minimum spanning tree for a given network
  • find the shortest path from one place to another in a network with no more than 10 vertices AAM CCT
  • identify the shortest path on a network diagram
  • recognise a circumstance in which a shortest path is not necessarily the best path or contained in any minimum spanning tree CCT