VC2M10SP02
interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness
Elaborations
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investigating how networks and network diagrams can be used to model authentic situations, recognising what real-world quantity is represented by the nodes (vertices), and what real-world quantity is represented by the links between them (edges)
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investigating the use of graphs to represent a network, for example, investigating the Seven Bridges of Königsberg problem
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investigating how polyhedrons may be represented as a network using edges, vertices, and interior and exterior faces; and representing the number of edges, vertices and faces in a table, exploring and demonstrating how Euler’s formula F + V = E + 2 applies
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investigating how a social network, intranet, local area network (LAN), electrical wiring or wireless network of a home can be represented as a network diagram to specify relationships; for example, using network diagrams to investigate practical problems involving connections, power overload or the need for routers
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investigating the use of networks to represent authentic situations, for example, rail or air travel between or within London, Paris and Hong Kong; a food web representing a simple ecosystem; metabolic networks and other chemical or biological structures
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representing Aboriginal and Torres Strait Islander Peoples’ kinship systems using network diagrams and exploring the significance of relationships to Country/Place
VC2M10SP02 | Mathematics | Mathematics Version 2.0 | Level 10 | Space