VC2M10SP02 Official strand: Space

Networks and connectedness

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Interpret nodes and edges as relationships and identify direct connections and components.

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The network represents direct paths. How many direct paths meet node A?

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Undirected network. Nodes A, B, C, D, E, F. Connections: A—B, B—C, C—D, D—E, E—F.

A2 B1 C3 D0

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Answer: 1

Count edges incident with the named node.
Do not count a multi-edge route as one direct edge.
The degree of A is 1.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Interpret nodes and edges as relationships and identify direct connections and components.

Read the official VCAA curriculum description (VC2M10SP02)

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Activities to practise beyond the quiz

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VC2M10SP02-C01Count edges meeting a node in an undirected network.
VC2M10SP02-C02Group nodes by reachability through paths.
VC2M10SP02-C03Represent practical relationships and explain connectedness with a constructed network.
VC2M10SP02-C04Apply and explain networks and connectedness using read and connect representations.

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Subskills

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Descriptor-derived subskills

D01
Read a direct relationshipCount edges meeting a node in an undirected network.
D02
Can one node reach another?Group nodes by reachability through paths.
D03
Read and connect representationsApply and explain networks and connectedness using read and connect representations.