Beyond Curriculum: Graphs — Complete Course

Description

Graphs turn complicated situations into dots and lines—and reveal surprising connections between handshakes, bridges, maps, drawing puzzles and transport networks.

This complete printable course guides learners from the basic language of vertices, edges and degrees to Euler trails, map colouring and shortest-path algorithms. Each lesson develops the ideas through diagrams, questions and investigations, while the accompanying Examples booklets provide additional problems, answer checks and complete worked solutions.

This complete course includes:

• Lesson 1: What is a graph?
• Lesson 2: The Bridges of Königsberg
• Lesson 3: Paths, cycles and Euler trails
• Lesson 4: Drawing without lifting your pencil
• Lesson 5: Colouring maps
• Lesson 6: Networks and shortest paths
• a combined Complete Course teaching booklet;
• concise answers and discussion;
• six supplementary Examples booklets;
• 48 additional examples and six challenges;
• complete worked solutions.

Suitable for learners aged 10 and over. No previous knowledge of graph theory is required. Younger learners may benefit from working alongside an adult, particularly in the later lessons.

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This is the complete six-part Beyond Curriculum: Graphs course from Sumthing Else.