Description
Travel back to eighteenth-century Königsberg and investigate the puzzle that helped begin graph theory.
The challenge sounds simple: can you walk through the city and cross each of its seven bridges exactly once? Learners replace areas of land with vertices and bridges with edges, turning a complicated map into a much simpler mathematical graph.
This lesson develops:
- translating maps and routes into graphs;
- counting the degree of each vertex;
- recognising the importance of odd and even degrees;
- testing possible routes systematically;
- explaining why some route puzzles are impossible;
- mathematical reasoning through a famous historical problem.
The download also includes further practice and worked solutions in the supplementary examples booklet.
Suitable for learners aged 10 and over. Lesson 1 is helpful but not essential.
This is Lesson 2 of the six-part Beyond Curriculum: Graphs course.
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