A presentation introducing dijkstra's algorithm - the shortest path. Graph theory.

Dijkstra’s Algorithm The way I would run this is to talk through the motivation for the algorithm from the presentation, and give the terminology worksheet to be filled in (answer in the presentation). We’d then work through the brute force worksheet. I might then run through the example, then give them the simple graph to fill in. Than we would work through TaskGraph1 for the graphs. Then I might get them to either code, or come up with graphs for them to solve in small groups or in pairs. Included: TPT presentation Labels to fill in worksheets to give structure for the students to fill in answers TaskGraph1 3 graphs to run Dijkstras on. AnswerGraph1 and 2 -answers for the graphs Brute force worksheet and brute force worksheet answers

Powerpoint to teach A Level Further Maths Decision/Discrete Maths Option: Dijkstra’s Algorithm. Primarily written for Edexcel but suitable for for OCR specifications. Complete, step-by-step approach with worked examples of A Level standard. Format is such that students can also use as revision at their own pace and includes a handy flowchart for revision. The full set of 16 PowerPoints in this series cover the whole of the Edexcel D1 course: Algorithms Bin-Packing Algorithm Critical Path Analysis (GANTT) Dijjkstra’s Shortest Path Algorithm Floyd’s shortest distance algorithm Graphs & Networks Kruskal’s Minimum Spanning Tree Linear Programming Planarity Algorithm Prim’s Minimum Spanning Tree Route Inspection Algorithm Simplex Algorithm 1 - Edexcel tableau Simplex Algorithm 2 (artificial variables) - Edexcel tableau Simplex Algorithm 3 (Big M method) - Edexcel tableau Sorting Algorithm: Quick-sort, Bubble-sort (& Shuttle-sort for OCR) Travelling Salesperson Problem, including Nearest Neighbour Algorithm (+ tour improvement algorithm for OCR) Updated 2022

This sheet gives links to videos on all 14 of the algorithms that are required for the Edexcel Decision Maths 1 module. Each video gives a demonstration of an individual algorithm, and can be shared with students as a revision resource or used as part of a teaching lesson. Each video can obviously be paused whilst the students work out what is coming next, or rewound to hear an explanation again. The algorithms are: Full Bin, First Fit, First Fit Decreasing, Bubble Sort, Quick Sort, Binary Search, Kruskal's, Prim's, Prim's - Matrix Method, Dijkstra's, Route Inspection, Maximum Matching, Finding Critical Paths and the Scheduling Procedure.

This is a PowerPoint presentation which uses animation, simple layouts, graphics and diagrams to clearly explain all topics required for a full understanding of Decision Maths Year 1, Algorithms on graphs. This is completely in-line with the Edexcel A-level Further Maths specification. teachingisgood is happy to declare that this presentation also includes loads of practice questions, which build up a key understanding and build exam skills, as well as exam-style questions which push problem solving skills with questions aimed at the highest achieving students. This presentation is part of a series of presentations for A-level Further Maths, some of which also include interactive quizzes, videos and fun ways to test students and develop knowledge. The topics covered in this presentation is as follows. Kruskal’s algorithm Prim’s algorithm Applying Prim’s algorithm to a distance matrix Using Dijkstra’s algorithm to find the shortest path Floyd’s algorithm

Decision Maths 1 - Shortest Path Algorithm A Powerpoint 97-2003 demo of Dijkstra’s algorithm for finding the shortest path in a network. Updated 18/02/10 to correct slight error in path order.

Homework sheets covering Kruskal’s algorithm, Prim’s algorithm, Dijkstra’s algorithm, Chinese Postman algorithm, Travelling Salesman Problem and Critical Path Analysis.