
Teach adjacency matrices and graph theory with this IB Maths AI HL 3.15 slide deck for Mathematics: Applications and Interpretation Higher Level.
This lesson resource connects matrix methods with graphs and networks, helping students represent connections, analyse walks and interpret results in context.
Topics covered
- Constructing and interpreting adjacency matrices to represent connections between vertices
- Using powers of an adjacency matrix to count walks of a specified length
- Interpreting entries of A^k in the context of a network
- Working with directed and weighted graphs
- Interpreting network weights as costs, distances or travel times
- An introduction to transition matrices, probabilistic modelling and state transitions
Classroom teaching and revision
Structured explanations and exam-style practice problems help students connect algebraic calculations with the meaning of a graph. Network contexts, such as road systems, develop interpretation alongside matrix techniques.
Use the slides to introduce IB Maths AI AHL 3.15 Adjacency Matrices, guide classroom discussion, revisit graph theory skills or support independent revision for IB Mathematics AI HL.
Complete the AHL 3.15 set
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