# Advanced decision teaching resources: Graphs and networks

Resources and ideas for mathematics, advanced decision, graphs and networks, written by teachers to support teaching and learning

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#### Math Bundle" Big Discount" 48%

Math Bundle" Big Discount" 48%

#### 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
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#### Single Line Graphing

5 pages of single line graphs that covers different themes with 5 pages of model answer. You can use them as assessment, worksheets or even homework.

#### Decision 1 - All lessons and resources for all chapters

PowerPoints written so that a teacher can learn from the PowerPoints and teach from them. Students can use the PowerPoints to learn independently too. Many colleagues have used my lessons on Decision 1 without a strong understanding of Decision themselves. Includes all chapters: Algorithms, Networks, Route Inspection, Critical paths, Linear Programming and MatchingsIncludes all worksheets, answers and assessments

#### Decision 1 - Chapter 3 - Algorithms on Networks

Everything required to teach chapter 3. Detailed enough to teach(refresh!) the teacher too.

#### 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 terminologySMART 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 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.

#### Decision 1 Chapter 3 Minimum Spanning Trees

SMART notebook file guiding through Decision 1 Chapter 3 MSTs with notes and examples.Includes: Kruskal, Prim, Prim on a Matrix, Dijkstra

#### Decision 1 Chapter 2 Graphs and Networks

SMART notebook file guiding through Decision 1 Chapter 2 content with notes and examples.

#### 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

#### Decision Mathematics AS Level (Edexcel) Posters - Graph Definitions

A large proportion of students are visual learners, this means bright colours, bold diagrams, and image repetition will help when studying. Enclosed are posters for Edexcel AS Mathematics (Decision Branch), with cross-connections with most other boardsThe posters are A4 documents, split into 4 boxes with bold colourful information in each. They are well used scattered around a room or the house, so constant viewing of the posters will help you remember the information that in on them. This is a technique that I have passed on to help many students through GCSE and A level.The topic of this set is Graph Definitions. The posters give definitions for different types of graphs and othe descriptors surrounding this topic within the Decision Mathematics course. 2 Posters included as separate files.

#### 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 activityDefinitions Matching activityD1 Definitions and key points (can't remember where I got this from, or if i made it)

#### Decision 1 - Chapter 2 - Networks

Using the London underground to explain the majority of new terminology. The whole of Chapter 2 can be learnt and taught from these resources.

#### AQA Decision 1 Exam Questions by Topic Revision resource

A PowerPoint for students to navigate to revise AQA Decision 1 exam questions by topic.Designed for individual revision, can also be used in the classroom to quickly find an exam question to match the topic being taught/revised.Click to mark scheme and uncover section at a time for checking work before moving on to next part.Our students have used this extensively in the run up to their exams and really enjoy using it.Layout taken from and inspired by supergenau, but altered for AQA. exam board.

#### 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!

#### ☄ D1 Decision A-Level Resources ☄ Graphs, Linear Programming & Activity Networks

☄ Graph Terminology - An A3 worksheet for students to create graphs with different properties while developing a deep understanding of the terminology surrounding such graph properties.☄ Linear Programming about Linear Programming - A humorously-themed linear programming task.☄ An Activity-On-Arc question based on saving the world!🌟😊🌟 . . . PLEASE RATE THIS RESOURCE . . . 🌟😊🌟

#### Exploring Graph Theory with the NYC Transit System #GoogleExpedition

Exploring Graph Theory with the NYC Transit SystemGrade(s): 11-12Subject(s): MathNumber of Students: 2- 40 Objectives: To understand the real world application of Graph TheoryStandards: CCSS.Math.Practice.MP5: Use appropriate tools strategically.CCSS.Math.Practice.MP7: Look for and make use of structure.Essential Question: What examples of Graph Theory exist within the NYC Transit System?Guiding Questions: How is graph theory applied to public transit systems?View the Google Doc: https://goo.gl/W9Bdrd

#### D1- Algorithms on graphs

For A-Level students completing Edexcel D1 Chapter 3.

#### Minimum Connectors (Prim's and Kruskal's algorithms)

A sorting task suitable for students studying Decision 1. Cut out the networks and statements and sort them into a large copy of the table (I used magic whiteboard sheets on the desk). Ensure students can justify their solutions - get them to swap partners and explain their choices. Multiple solutions are possible!

#### 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

#### Can Santa complete Christmas?

Functional type activity involving distances and times. Santa has to deliver the presents to places in Cornwall. Students are given distance charts and times to travel and are asked to plot shortest and quickest route. There is an extra challenge of a load limit for Santa's sleigh. Have included distance table, time table and three maps; one blank and the other two completed with times and mileage. All resources are in one word file and accompanied with a powerpoint.Thanks to Claire Richards and Tony Robson for their help.

#### Extension - Counting Projects

A series of extension projects about counting. Each question is a seemingly simple problem that introduces pupils to combinatorics. For example:- how many ways can you make change for a pound?- how many four digit numbers have digits that sum to 9?

#### Extension - Introduction to Graph Theory

A series of worksheets exploring the link between door codes, Euler Graphs and also De Brujn Graphs. This will introduce pupils to the concepts of - vertices- edges- degree of vertices- directed graphs

#### 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.

#### D1 Definitions and Key Points

All the definitions and key points needed for the D1 module, for Alevel Mathematics, which follows the Edexcel Spec.

#### D1 Mathematics Lesson Mats - part 2

Lesson mat worksheets for a second half terms worth of D1 lessons for Edexcel specification. Lessons cover, Complete Graph notation, Linear Programming and Critical Path Analysis. The sheets are designed to be printed double sided on 141% enlargement to A3 size. Designed for a further maths class, over three weeks, with additional worksheets and homework where necessary.

#### 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.