# Capital Airways: Part 1

In this lesson students are introduced to the concept of a network through an airline route map. The task extends into a detailed mathematical modelling activity with students exploring in teams how to re-design the network map to improve the airline’s profitability. This lesson is in two parts and is followed by Capital Airways: Part 2.

Year level(s) Year 10
Audience Teacher
Purpose Teaching resource
Format Web page
Teaching strategies and pedagogical approaches Questioning, Mathematics investigation, Collaborative learning
Keywords networks, network diagrams, mathematical modelling, Maths Hub lesson plan

## Curriculum alignment

Curriculum connections Critical and creative thinking
Strand and focus Space, Algebra
Topics Mathematical modelling, Linear relationships, Money and financial mathematics
AC: Mathematics (V9.0) content descriptions
AC9M10SP02

Interpret networks and network diagrams used to represent relationships in practical situations and describe connectedness

AC9M10A04
Use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings

Numeracy progression Number patterns and algebraic thinking (P9)