This IB Math AI HL 3.14 – Graph Theory slide deck introduces students to the language and structure of graphs as mathematical models of relationships and networks. The lesson clearly defines core components such as vertices, edges, adjacency, and degree, building a strong foundation for understanding how graphs represent real-world systems.
Students explore different types of graphs, including simple graphs, complete graphs, weighted graphs, and directed graphs, with visual examples that clarify key distinctions such as in-degree and out-degree. The lesson also develops understanding of subgraphs and trees, emphasizing connectivity and the absence of cycles in tree structures.
With its structured explanations, clear visual representations, and exam-style practice problems, this slide deck supports HL-level classroom learning and independent study, equipping students with the conceptual tools needed to analyze and reason about graphs confidently in IB Mathematics assessments.
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