ACARA AC9M10SP02, Networks

Year 10 · Space

Interpret networks and network diagrams that model relationships in real situations and describe how things are connected.

Below are free printable maths worksheets that support AC9M10SP02. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

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Deliver a whole lesson on AC9M10SP02 from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Algorithms and networks: computational thinking in geometry

Year 7-10 (ages 12 to 16)

Teaching guide

What students learn

Interpret networks and network diagrams that model relationships in real situations and describe how things are connected.

How to teach it

Model a real situation as a network of vertices and edges, then describe connectedness and follow paths, using directed edges for one-way links.

Worked example

A connected planar network has 6 vertices and 8 edges. Using Euler's formula (V - E + F = 2), find the number of faces F (including the outer region).

Answer: 4

Why: F = 2 - V + E = 2 - 6 + 8 = 4

Generated and checked in code, so it is correct.

Watch out for

Confusing vertices with edges, and treating a one-way (directed) connection as two-way.

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Grade 10 Space

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More Year 10 Space codes: AC9M10SP01 · AC9M10SP03

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.