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For Cambridge 9709 Past Paper Questions and Worked Solutions by Topic, go to www.pastpaperpenguin.com contact: pastpaperpenguin@gmail.com

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For Cambridge 9709 Past Paper Questions and Worked Solutions by Topic, go to www.pastpaperpenguin.com contact: pastpaperpenguin@gmail.com
The Simplex Algorithm Explained - Decision 1 Full Lesson
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The Simplex Algorithm Explained - Decision 1 Full Lesson

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This is a ready to teach lesson on how to implement the Simplex Algorithm and why it works, referring back to graphical and algebraic approaches. It is unclear to many students why the Simplex Algorithm works, what theta values are and why you need to look for the most negative value in the last row. The primary objective of this lesson is to thoroughly explain all of this. First, a simple problem is solved using normal linear programming, then this problem is solved using using the Simplex Algorithm, relating this back to what each and every step represents, both graphically and algebraically. The lesson is 35 PPT slides long, with tableaux for the students to work through at the same time. The lesson is provided in PPT, Notebook and PDF format. I will soon be uploading the next lesson for Simplex Algorithm so watch this space. If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslesson@gmail.com. Thanks! Chris @ Last Minute Maths
Simplex Algorithm Lesson 2 - 3D Problems
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Simplex Algorithm Lesson 2 - 3D Problems

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This is a ready to teach lesson on how to implement the Simplex Algorithm in 3D, showing first how it could be done graphically if we had the right software, then applying the Simplex Algorithm to the same problem. The lesson is 27 slides long, with tableaux for the students to work through at the same time. The lesson is provided in Notebook and PDF format. I will soon be uploading the next lesson for Simplex Algorithm so watch this space. If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com. Thanks! Chris @ Last Minute Maths
Proof of Addition Formulae and Application (Trigonometry)
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Proof of Addition Formulae and Application (Trigonometry)

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This is a complete lesson on geometrically proving and then applying the addition formulae. The lesson consists of 30 slides which guide students through a step-by-step proof of sin(A+B) and cos(A+B), then how to prove tan(A+B) and all the subtraction versions from these, plus a further six slides covering three common questions on the application of the formulae (which can be used as examples or as questions). It also includes copies for the students to complete as you go along. Resources included: A PPT and smart notebook file 36 slides long with a detailed step-by-step proof using SOHCAHTOA. A student copy of the initial diagrams for them to work from There is a separate file for PPT and notebook. If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslesson@gmail.com. Thanks! Chris @ Last Minute Maths
Two Lessons: Simplex Algorithm Explained and Implemented
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Two Lessons: Simplex Algorithm Explained and Implemented

2 Resources
This includes the first two lessons on the Simplex Algorithm: How to implement the Simplex Method and why it works, referring back to graphical and algebraic approaches. It is unclear to many students why the Simplex Algorithm works, what theta values are and why you need to look for the most negative value in the last row. The primary objective of this lesson is to thoroughly explain all of this. How to implement the Simplex Method in 3D, showing first how it could be done graphically if we had the right software, then applying the Simplex Algorithm to the same problem.
Transformations - GCSE Grade Grid
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Transformations - GCSE Grade Grid

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This is a revision worksheet for GCSE students on Transformations (Reflection, Rotation, Translation and Enlargement) The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. I facilitate marking by saying it’s all-or-nothing, but that’s up to you. The grids can be: Used in lesson for students to see what grade they can get to Peer/Self/Teacher-assessed Used independently Done for Homework Laminated and given as revision cards. The answers, with full working out are included. If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com. Thanks! Chris @ Last Minute Maths
FOUR GCSE 9-1 Grade Grids Area, Volume, Transformations, Venn Diagrams
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FOUR GCSE 9-1 Grade Grids Area, Volume, Transformations, Venn Diagrams

4 Resources
This is a bundle containing three GCSE progression grids (from Grade 1 to Grade 9) on Area and Volume: Areas of Circles and Sectors Volume of Cones, Pyramids and Frustums Transformations Venn Diagrams The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. I facilitate marking by saying it’s all-or-nothing, but that’s up to you. The grids can be: Used in lesson for students to see what grade they can get to Peer/Self/Teacher-assessed Used independently Done for Homework Laminated and given as revision cards. The answers, with full working out are included. If you have any suggestions or have spotted a mistake, do not hesitate to contact me via lastminutemathslessons@gmail.com. I’m in the process of uploading other grade grids - please let me know if you have any specific requests. Thanks! Chris @ Last Minute Maths
Venn Diagrams - GCSE Grade Grid
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Venn Diagrams - GCSE Grade Grid

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This is a revision worksheet for GCSE students on Venn Diagrams (sets and probability) The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. The grids can be: Used in lesson for students to see what grade they can get to Peer/Self/Teacher-assessed Used independently Done for Homework Laminated and given as revision cards. The answers, with full working out are included. If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com. If you like this resource, please do review it and have a look at my other resources :) Thanks! Chris @ Last Minute Maths