#### 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.

#### OCR MEI FP2 & S2 Full SOW + D1&S1 Revision

75% saving! Two resource packs that contain all the PowerPoints required to teach the full modules for FP2 and S2 for MEI OCR. Revision PowerPoints are also contained in these resource packs. I have also included D1 revision questions which can be used for the new maths A Level. I have also included Statistics revision worksheets which can be adapted for the new maths A Level.

#### Decision Revision Questions

3 sets of exam questions for the upcoming Decision exam on the 15th June. All answers attached

#### AQA Use of Maths (pilot) 2018 Data Sheet Practice

This bundle contains practice questions for the 2018 Data Sheets. The following units are included: Calculus, Data Analysis, Decision Mathematics. Solutions are included for all questions.

#### Use of Maths (pilot) Decision Maths 2018 Data Sheet Practice

These questions are based on the 2018 Data Sheet for the Decision Maths unit of AQA Use of Maths (pilot). They are designed to help students prepare for the exam and to familiarise them with the contexts in the data sheet. Solutions are included.

#### Decision Maths Homework Sheets

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

#### AQA Use of Maths (pilot) booklets for USE 1, Data, Decision

Notes and examples are provided for all topics in these three units of the AQA Use of Maths (pilot) syllabus.

#### Edexcel Decision 1 Summary Revision

Booklet summarising Edexcel Decision 1 laid out like the textbook including worked through examples and key points. Perfect for students learning at A-Level looking for a booklet to help summarise all of Decision 1.

#### Decision 1 Revision Resources

A selection of D1 revision resources for the AQA A-Level Spec. These resources include revision sheets and posters with fill in the gaps to help student remember the information. These sheets cover the sorting algorithms, definitions for D1 and other algorithms.

#### Edexcel AS Further Decision Mathematics 1

A series of lesson sheets that take you through the whole of the Edexcel AS Further Decision Maths 1 course. They are intended to be used in the order they are numbered. When used in conjunction with exercises on the topics these deliver the entire content of the course.

#### Route inspection - resource to teach and practise the algorithm (Decision maths)

This printable worksheet makes it easy to introduce the route inspection algorithm and will help your students understand how to apply the algorithm. The first page reminds students about Eulerian and semi-Eulerian graphs, how these are the types of graphs we require to solve the route inspection problem, and then has an example where you can introduce the idea of adding/repeating arcs to create the type of graph you need. The next page summarises the steps of the general algorithm and then the set of example questions begins. There are 14 questions in total, all with diagrams, with some requiring a closed route and some that do not. Fully worked solutions for all examples are provided.

#### Decision Maths

Presentations that cover the majority of A level decision maths units

#### Decision 1 Chapter 4 Route Inspection Problem/ Chinese Postman

SMART notebook file guiding through Decision 1 Chapter 4 Route Inspection problem.

#### 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.

#### A Level EdExcel Decision Mathematics 1 - Notes and Worked Examples

This is a powerpoint covering all areas of Decision 1 (I realise they are only putting it in further maths from 2017). It contains brief notes by way of an explanation, model answers to questions and a question or two for the students to do; all of the questions come with answers that you can display when ready. The slide show comes with a progress grid (regularly referred to in the presentation) so that students can mark their progress from start to finish and pinpoint any areas that may need extra work with a “red/amber/green” system that they fill in. It’s what I use in my lessons before setting tasks from worksheets or text books to practice.

#### 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.

#### Decision 1 Edexcel End of Topic Tests

These are 20 mark test sets for each topic within the Decision 1 Edexcel Maths syllabus. Students write their solutions in the boxes provided. Any feedback would be very welcome. Enjoy! Em

#### 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

#### Complete Set of Decision 1 Maths Flipcharts with resources

I created a set of flip charts, to aid with teaching of Decision 1 Mathematics, Edexcel. A lot of questions are taken from examsolutions.net. Also attached some other worksheets I created: Bin packing algorithms - cut out activity Definitions Matching activity D1 Definitions and key points (can't remember where I got this from, or if i made it)

#### Decision powerpoints AQA + In class questions/notes

Powerpoints on upper,lower bounds, tracing algorithms and Chinese postman ideal for AQA specification. Also attached linear programming powerpoint and in class notes/lessons for whole course

#### Decision Maths 1 - Glossary and Algorithm Summaries

This is a list of all algorithms for the D1 Maths course, along with a quick reminder of they each do and how, along with a full glossary of terms for the Edexcel module.

#### D1 Mathematics Lesson Mats

Lesson mat worksheets for a half terms worth of D1 lessons for Edexcel specification. Lessons cover, algorithms, graphs and networks, route inspection and matching. The sheets are designed to be printed double sided on 141% enlargement to A3 size. Designed for a further maths class, over five weeks, with additional worksheets and homework where necessary.

#### Route Inspection practice questions + solutions

Discrete 1 - Decision 1 - Route Inspection problem - Chinese Postman problem - Worksheet with eight questions to be completed on the sheet - solutions included

#### Chinese postman/route inspection tutorial+question

I am creating a website at www.mrhegartymaths.com where I upload videos to help students with their GCSE and A-Level exam revision. My videos are a mixture of exam solutions and topics taught from first principles. I am currently updating as required for the pupils I teach but over time I want to create a comprehensive collection of tutorials on the key GCSE and A-Level topics as well as occasional sets of solutions to exam past papers.

Chinese Postman

#### O1 Eulerian graphs to the route inspection

Learners explore the properties of graphs in decision mathematics and develop strategies for solving the route inspection problem (Chinese Postman). This is part of the Mechanics and Decision set of materials from Standards unit: Improving learning in mathematics.