# Advanced decision teaching resources: Linear programming

Resources and ideas for mathematics, advanced decision, linear programming, written by teachers to support teaching and learning

#### Linear Programming Problems - Carpenter Problem

ALevel carpenter problem. D1. A series of PPT's containing different problems. A nice way to introduce pupils to exam style questions as question broken down into parts. Fully worked graphical solutions included.

#### Linear Programming practice questions + solutions

Discrete 1 - Decision 1 - Linear programming - optimal solution - shading inequalities - feasible region - Worksheet with 16 questions to be completed on the sheet - solutions included

#### 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

#### Linear Programming matching activity

With integer constraint. Useful as a revision or consolidation activity

#### Mathematics Decision 1 Lessons

This is a set of lessons for Decision Mathematics. The resources include Powerpoints and worksheets. Powerpoint include:Learning objectivesExamples animated at each step to support explanations and independent learningImportant information written in red boxes to scaffold learning.Worksheets include examples on a word document for students to write on.Topics:Spanning TreesLinear ProgrammingDijkstra’s AlgorithmChinese Postman ProblemTravelling Salesman ProblemMatchingSortingAlgorithmsGraph 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.

#### Decision 1 - Chapter 6 - Linear Programming

Everything you need to teach Linear Programming.

#### Linear Programming Presentation

Powerpoint and Notebook presentations that show the learners how to complete a linear programming problem.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.

#### Mathematics Decision 1 Lessons

This is a set of lessons for Decision Mathematics. The resources include Powerpoints and worksheets. Powerpoint include:Learning objectivesExamples animated at each step to support explanations and independent learningImportant information written in red boxes to scaffold learning.Worksheets include examples on a word document for students to write on.Topics:Spanning TreesLinear ProgrammingDijkstra’s AlgorithmChinese Postman ProblemTravelling Salesman ProblemMatchingSortingAlgorithmsGraph 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 objectivesExamples animated at each step to support explanations and independent learningImportant information written in red boxes to scaffold learning.Worksheets include examples on a word document for students to write on.Topics:Spanning TreesLinear ProgrammingDijkstra’s AlgorithmChinese Postman ProblemTravelling Salesman ProblemMatchingSortingAlgorithmsGraph 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.

#### Algebra: Linear Programming (Optimization)

This 18-page packet is an introduction to linear programming. Topics include graphing linear systems, identifying the feasibility region, objective function, and maximum/minimum. There is a brief lesson, examples, and 10 practice questions (with detailed solutions). Check out the preview file to see samples. Download the product file to see all problems and solutions. (Proceeds support TES and the mathplane site) OR, visit the mathplane site and find the free .pdf file. Thanks for visiting!

#### Linear Programming worksheet

With brief solutions

#### 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

#### A level Maths: Decision 1:Inequality regions sheet

Outer boundary shading of inequality regions

#### 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

#### 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)

#### Formulating linear programming problems exercise

Examples, and questions with solutions

#### Formulating linear programming problems

Examples and exercise

#### Decision 1 Chapter 6 Linear Programming

SMART notebook file guiding through Decision 1 Chapter 6 Linear Programming.Based on Edexcel Pearson.Thank you to another tes author who designed the starter inequalities questions. (Can't remember username, but will credit you if you let me know who you are!)

#### A level Maths: Decision: Graphical solution sheet

Objective line method, vertex method, integer constraint

#### Decisions 1 Linear Programming

A fancy worksheet the graphically represents the solutions to linear programming problems.

#### Linear Programming

Second or Third lesson in a sequence on linear programming. Starts with recapping key words and the process of solving linear programming questions. 'easiest' are two worksheets with a lot of scaffolding for 2 different problems. 'hardest' is the same 2 problems but almost no scaffolding.

#### 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.

#### Linear Programming Factory Problem

A full linear programming question for the students to attempt.

#### Linear Programming terminology questions + solns

Discrete 1 - Decision 1 - Linear Programming - Terminology - Worksheet with 20 questions to be completed on the sheet - solutions included

#### Linear programming Introduction

An introduction to what Linear Programming is with important definitions

#### ☄ 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 . . . 🌟😊🌟

#### Linear Programming Formulation 1

An example as to how to formulate a linear programming problem for the students to fill in.

#### 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

#### Linear Programming Problem 2

More full problems on linear programming for the students to attempt.