# Advanced pure teaching resources: Differentiation

Resources and ideas for mathematics, advanced pure, differentiation, written by teachers to support teaching and learning

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#### Differentiation matching activity

dy/dx matching activityincludes some negative powersanswer sheet given

#### Trigonometric identities and equations handout

a summary of all the trigonometric identities, equations and formulae needed for A-level maths, including integration and differentiation, laid out in a easy to read reference sheet. Also includes a display revision sheet on differentiating and integrating sin and cos.

#### A2 Maths OCR C4 exam question by topic workbook - first order differential equations

Exam questions, mark schemes and answer space, for the topic of 'first order differential equations', from papers from June 2015 - Jan 2009. Format enables students to keep all work relating to this topic in one place.

#### VCE Mathematical Methods Unit 3 Functions and Graphs

Set of lesson plans (presentations) wit carefully selected examples , class activities, assessment, TI Nspire handouts.

#### C3 Mathematics (Edexcel AQA) A Level Posters - Differentiation and Bracket Expansion

1 Poster for A Level Mathematics students taking the C3 exam - posters help students memorise difficult formulae and information that is required for the exam. A large proportion of students are visual learners, this means bright colours, bold diagrams, and image repetition will help when studying. Enclosed is a poster for Edexcel A Level Mathematics C3, with cross-connections with most other boards including AQA.The posters are A4 documents, split into 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 included is: Product Rule, Chain Rule, Binomial Expansion, Differentiation of a^x

#### OCR MEI notes (C3, C4 and M1)

Summary of OCR MEI A level Mathematics units, C3, C4 and M1.

#### Core 2 (Edexcel) Revision

Here is my power point trying to structure questions for C2 from past papers. I have split the paper into 9 sections and tried to group questions together. All solutions are given at a click. For use by giving to pupils and leaving them to it, or working through topics as a class. Every question from 2006-present. Also works extremely well on iPads.

#### Core 1 (Edexcel) Revision

Here is my power point trying to structure questions for C1 from past papers. I have split the paper into 11 sections and tried to group questions together. All solutions are given at a click. For use by giving to pupils and leaving them to it, or working through topics as a class. Every question from 2006-present. Also works extremely well on iPads.

#### Core 3 (Edexcel) Revision

Here is my power point trying to structure questions for C3 from past papers. I have split the paper into 7 sections and tried to group questions together. All solutions are given at a click. For use by giving to pupils and leaving them to it, or working through topics as a class. Every question from 2006-2014. Also works extremely well on iPads.

#### Implicit differentiation

Using implicit differentiation to find dy/dx.I’ve included two different sizes of the same puzzle. The smaller size is only two pages and it great if you are going to print of individual copies for students to practice with in class or at home. The larger size requires 8 pieces of paper and quite a bit of space to solve – fun for centers and group work!Cut out the puzzle pieces (or even better if your students do it themselves) and students are to solve the puzzle so that it matches the solution provided. If your students are going to cut out the pieces then no prep is needed – the puzzle is not in order.I’ve been using these puzzles for years with great success! I recommend printing the puzzles on colourful paper and laminating them. This way you only have to cut them out once and they will last year after year!What is included in this product?• The solution to the puzzle – Pages 3 – 4 • The normal size puzzle – Pages 5 – 6 • The large size puzzle – Pages 7 – 14 • Expressions and Answers in a table format for easy grading or you can cut these out to play a matching game – Pages 15 – 16My students love doing these types of puzzles.This product can also be used as a perfect revision of the school work to do at home. All answers can be easily checked thanks to the included solution to the puzzle or questions and answers shown in a table.Thank you for checking my resources.

#### A level Maths C1: Differentiation Worksheets

Introduction to Differentiation Worksheets and activity to introduce differentiation (not from first principles)

#### Differentiation Whodunnit

Find out who committed the crime, where and when by practising differentiation and finding gradients.

#### VCE Mathematical Methods Differential Calculus

Chain rule with power functions. Equations of tangents and normal. Understanding all about gradient functions and gradient graphs.

#### VCE Specialist Mathematics Differential calculus.

Second derivative, concavity, points of inflection, implicit differentiation, derivatives of inverse circular functions; using TI Nspire CAS.

#### Physics / Maths Logarithms and Exponential formulae

This set of four lessons goes over the exponential formula used in Physics for radioactive decay as well as teaching the basic rules of logs and why natural logs are used.

#### Maths for Engineers - Calculus

Presentation that introduces both differentiation and integration. It shows the students how to solve calculus problems using polynomial, trigonometric and exponential functions.

#### Mathematics Core 3 C3 and Core 4 C4 Lessons

Mathematics Core 3 C3 and Core 4 C4 LessonsThis is a set of lessons for A2 Core Mathematics. The resources includes Powerpoints.Powerpoint include:Learning objectivesQuestions on the topicImportant information written in red boxes to scaffold learning.Topics:FunctionsTrigonometryExponentials and LogarithmsProduct RuleQuotient RuleDifferentiation and Integration of Trigonometry Roots to equations (staircase and cobweb diagrams)Integration using the chain ruleIntegration using the rule of LogarithmsIntegration by Substitution Integration by PartsMid ordinate rule and Simpsons RuleExpansion formulaAlgebraPartial FractionsApplications of Partial FractionsImplicit differentiation Tangents and normalsParametric Equation and Differentiation Exponential Growth and DecayDifferential EquationsVectorsI hope you enjoy these lessons, they can be used in the following ways:To deliver a course with reduced planning but not reducing quality of the lesson.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.As a bases for your own lessons where you can include exam questions to each presentation.As an activity where the questions can be printed and cut out.

#### Further Pure 2 powerpoints

A set of powerpoints covering all topics in FP2. Examples labelled WB correspond to the separately attached 'Workbook' (I give this as a single booklet so pupils have a clear model answer to each topic). References to Exercises are from the Pearson Edexcel FP2 textbook. Mistakes on complex numbers now corrected.

#### A level maths revision jigsaw

Jigsaw covers calculus, quadratics, coordinate geometry and many other first year A level topics. All 4 sheets can be cut up and then the learners can reassemble them to make a geometric shape.

#### Maxima, minima and inflexion points of trigonometric functions

Power Point presentation, 7 slides, Explaining how to use the first and second derivatives of trigonometric functions to make the sketch of the function , based on Mathematics IB Standard level Syllabus. For a preview of the power point copy the following link in your browser: https://drive.google.com/file/d/0B8z00qLZV7OlTWRmSEJGWDhMc00/view?usp=sharing

#### Derivatives of sine, cosine and tangent functions

Power Point presentation, 11 slides, Explaining the derivative of the sine, cosine and tangent functions and use some examples to show how to differentiate trigonometric functions, based on Mathematics IB Standard level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlTUh0a2dnNmJBUDg/view?usp=sharing

#### A level Maths C1: Tangents and Normals worksheet

Worksheets for teaching tangents and normals

#### A2 Mathematics - AS to A2 Homework

MS Word worksheets A series of homework sheets for A2 students covering the content from Core 1 and Core 2 they should have mastered. New : A second version - 'AS to A2 summer work' has been produced in a new format with answers now!! - hope this helps.

#### Core 1 Quadratic Graphs worksheet.

Separate worksheets show the different forms quadratic graphs can take and how this determines their key graphical features.

#### C2 Differentiation - Discovering Maximums, Minimums and Points of Inflection

Use the mix of 3 resources to introduce maximums, minimums and points of inflection. Students are encouraged to refer to graphs drawn via the free Desmos Graphing Calaculator and complete the set of rules they need to go on to tackle the chapter exercises or past exam questions. They'll also have a model answers to annotate and analyse for a method.

#### Risps PDF Ebook Edition 4

The pdf collects together into a single document the 40 investigatory tasks from the popular Risp website created by Jonny Griffiths at www.risps.co.uk. These activities are all pure maths ones, and are written for the A Level Maths syllabus. They represent excellent practise on problem-solving. There are 151 pages, and hyperlinks enable easy navigation.

#### A level checklists for students

A collection of checklist for students to use, covering the Edexcel AS/A2 Mathematics specification: Core 1, Core 2, Core 3, Core 4 Mechanics 1, Mechanics 2 Statistics 1, Statistics 2 **updated Core 1 Checklist - tidied up format a little.

#### Worksheet on a Quadratic Graph -KS4/Post 16

In this activity, students write the equation of a quadratic graph in three different ways and find the intercepts and the turning points. A pdf document that can be printed out as a worksheet.

#### Implicit differentiation (with CAS)

Introduction to implicit differentiation. Using CAS calculator. Fully worked examples.

#### Matching Pairs - Find the Differential

A great resources to use with your class. Either use it as an introduction to integration or as a revision of differentiation.