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Stage 5 · Introduction to networks (Path) · Define a planar graph and apply Euler’s formula for planar graphs · Topic: Networks · Year 9, 10

Describe and apply Euler’s formula for planar graphs: v - e + f = 2, where v = vertices, e = edges and f = faces

Dot point ID k-10-2022-stage-5-introduction-to-networks-path/itr-dpg-stg5-05 · NESA code MA_K_10_CP_ITR_DPG_STG5_05 · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 0 resources ★EnrichExtension & rich tasks · 3 resources

Outcomes for this focus area (MA5-NET-P-01)

MA5-NET-P-01 solves problems involving the characteristics of graphs/networks, planar graphs and Eulerian trails and circuits (Path: Stn)

Core resources for this dot point

On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.

Interactive tool

Interactive toolStarter
Mathigon: Planar graphs and Euler's formula
Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
Use it for: Untangle graphs to make them planar and discover v - e + f = 2.
Also tagged to: Define a planar graph as any graph that can be drawn in the …; Demonstrate that some graphs that have crossing edges are st…

Focus area resources

Checked resources for Introduction to networks (Path) as a whole (not mapped to a single dot point).

Unit/Planning
Sample unit – Stage 5: introduction to networks
NESA · Sample unit · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-NET-P-01
Unit/Planning
Stage 5 Unit 1 – geometric representations (sample unit of learning)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-GEO-C-01, MA5-GEO-P-01, MA5-NET-P-01