#### Eulerian Networks

This is a lesson intended to introduce pupils to Eulerian Networks. The lesson was initially delivered as part of an Year 7 ‘Welcome Week’ at the school. During the week there was a focus of Community and how Mathematics can be applied outside of the classroom. Although delivered to Year 7 classes, the mathematics can still be used higher in the school and beyond. It may also be an interesting activity to use with classes at the end of term as a ‘one-off’ lesson.

#### Decision Maths

Presentations that cover the majority of A level decision maths units

#### KS3/KS4/KS5 Maths (enrichment): Investigating graph theory and networks lesson

Full lesson on investigating graph theory and networks which is extremely derivative -- very largely based on the stupendous lesson and worksheet uploaded by @Owen134866. I have added some more scaffolding in terms of discussing vocabulary and created a support sheet so that this topic can be accessed at KS3 and above. I have delivered this lesson successfully to mixed ability Year 7s and high ability Year 9s to date, and always really enjoy it. It's generally something I pull out towards the end of term as a treat with a view to improving students' problem-solving skills. Extension worksheet is adapted from the Konigsberg problem entry on Wikipedia although I have not yet used it -- it might prove to be a good extension to the main lesson for A Level students. Please do rate and review this resource -- I appreciate feedback!

#### Decision Maths Enrichment

3 enrichment task that can be used without any prior knowledge. It was used to show year 10's how maths is used through different decision activities

#### Mathematics Decision 1 Lessons

This is a set of lessons for Decision Mathematics. The resources include Powerpoints and worksheets. Powerpoint include: Learning objectives Examples animated at each step to support explanations and independent learning Important information written in red boxes to scaffold learning. Worksheets include examples on a word document for students to write on. Topics: Spanning Trees Linear Programming Dijkstra’s Algorithm Chinese Postman Problem Travelling Salesman Problem Matching Sorting Algorithms Graph Theory I hope you enjoy these lessons, where they can be used in the following ways: To deliver a course with reduced planning but not reducing quality of the lesson, as this course can be time consuming writing and preparing examples, where this resource can help. As a basis for an observation lesson to save time preparing resources. To give to students for out of lesson learning. To support teachers who are new to this topic, again to reduce planning time.

#### Mathematics Decision 1 Lessons

This is a set of lessons for Decision Mathematics. The resources include Powerpoints and worksheets. Powerpoint include: Learning objectives Examples animated at each step to support explanations and independent learning Important information written in red boxes to scaffold learning. Worksheets include examples on a word document for students to write on. Topics: Spanning Trees Linear Programming Dijkstra’s Algorithm Chinese Postman Problem Travelling Salesman Problem Matching Sorting Algorithms Graph Theory I hope you enjoy these lessons, where they can be used in the following ways: To deliver a course with reduced planning but not reducing quality of the lesson, as this course can be time consuming writing and preparing examples, where this resource can help. As a basis for an observation lesson to save time preparing resources. To give to students for out of lesson learning. To support teachers who are new to this topic, again to reduce planning time.

#### Mathematics Decision 1 Lessons

This is a set of lessons for the Decision Mathematics module for A level. The resources include Powerpoints and worksheets. Powerpoint include: Learning objectives Examples animated at each step to support explanations and independent learning Important information written in red boxes to scaffold learning. Worksheets include examples on a word document for students to write on. Topics: Spanning Trees Linear Programming Dijkstra’s Algorithm Chinese Postman Problem Travelling Salesman Problem Matching Sorting Algorithms Graph Theory I hope you enjoy these lessons, where they can be used in the following ways: To deliver a course with reduced planning but not reducing quality of the lesson, as this course can be time consuming writing and preparing examples, where this resource can help. As a basis for an observation lesson to save time preparing resources. To give to students for out of lesson learning. To support teachers who are new to this topic, again to reduce planning time.

#### Minimum connector and travelling salesperson algorithms

Powerpoints and Notebook presentations that show learners how to complete the minimum connector problems using Prims and Kruskals algorithm. A presentation of how to use Travelling salesperson algorithm to find a complete cycle. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

#### Shortest path Algorithm - Dijkstras

Powerpoints that show learners how to complete Dijkstras minimum path algorithm

#### Chinese Postman Algorithm Presentation

Powerpoint and Notebook presentations that show students how to complete the Chinese postman algorithm. Smartboard presentation covers basic graph theory such as Eulerian graphs and other terminology SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

#### A level applied maths: Decision revison

A great resource for A level students on Decision maths. Specifically for AQA but can be used for all other exam boards as well. Provides quick, easy to understand information for the topics. Has many uses including as flashcards, posters, powerpoint presentation for revision and introduction of decision topics. A great and very helpful resource