What students learn in AC9M10SP02
This unit helps students build a clear, usable understanding of Interpret networks and network diagrams used to represent relationships in.... The goal is not to memorise one answer pattern. Students should be able to explain the idea, recognise it in a new example and apply it in a short practice or worksheet task.
- Start with the main idea: interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- 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) investigating the use of graphs to represent a network, analysing connectedness; for example, investigating the “The Seven Bridges of Königsberg” problem
- Finish with mixed questions so students must choose the correct strategy rather than copy the last example.
Curriculum coverage and elaborations
The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning but may not appear in the initial eight-question activity.
- Content description: interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness
- E1: 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)
- E2: investigating the use of graphs to represent a network, analysing connectedness; for example, investigating the “The Seven Bridges of Königsberg” problem
- E3: investigating how polyhedra can be represented as a network using edges, vertices, interior and exterior faces; representing the number of edges, vertices and faces in a table and demonstrating how Euler’s formula F + V = E + 2 applies
- E4: 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
- E5: investigating the use of networks to represent authentic situations; for example, rail or air travel between or within London, Paris, Hong Kong; a food web representing a simple eco-system; metabolic networks and other chemical or biological structures
- E6: representing First Nations Australians’ kinship systems using network diagrams and exploring the significance of relationships to Country/Place (teaching context)
How to use this unit
Read the topic guide, use the teacher slide for instruction, then complete the Worksheet, Practice and Test. These three activities use the same eight-question unit bank.
Teacher resource
AC9M10SP02 teacher slide
Use this one-page PDF to introduce the key idea, vocabulary and teaching sequence before students begin the activities.
Open teacher slide (PDF)Common mistakes to watch for
- Rushing to a rule before checking the concrete model, drawing or number sentence.
- Using the correct answer once but not being able to explain why it works.
- Mixing up similar vocabulary such as more/less, before/after, longer/shorter or equal groups/sharing.
International curriculum mapping
This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.
| Region | Curriculum | Closest mapping |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M10SP02 — interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness |
| Victoria | Victorian Curriculum F-10 | Year 10 Maths: closest match in Space. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 5 Maths: closest content focus for Interpret networks and network diagrams used to represent relationships in... and related outcomes. |
| United States | Common Core / NGSS | Grade 10 Common Core Mathematics/ELA closest topic match for Interpret networks and network diagrams used to represent relationships in.... |
| England / UK | National Curriculum | Key Stage 4 / Year 10: closest programme-of-study match for Interpret networks and network diagrams used to represent relationships in.... |
| Canada | Provincial and territory curricula | Grade 10 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference. |
| New Zealand | New Zealand Curriculum | Level 5 Maths: closest achievement-objective topic for Interpret networks and network diagrams used to represent relationships in.... |
| India | NCERT / CBSE | Class 10 closest NCERT/CBSE topic match for Interpret networks and network diagrams used to represent relationships in.... |