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5. Differentiation

#### 7 GCSE/IGCSE worksheets (with answers)

7 Worksheets on the following topics: bounds, speed, solving quadratic equations by factorising, simplifying algebraic fractions, perfect squares, calculus and differentiation. Detailed solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Maths A level revision questions

This bundle includes question/answer files aimed at revising the topics from A level maths, and especially the Core 3 and Core 4 topics.

#### FSMQ revision questions

This bundle includes revision files for the FSMQ exam.

#### Derivatives for GCSE/GCSE worksheets

Three worksheets on differentiation. Detailed solutions are provided. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Calculus worksheet (with solutions)

A worksheet on calculus. Good for GCSE/IGCSE students.From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### 6 GCSE/IGCSE maths worksheets (with solutions)

6 GCSE/IGCSE maths worksheets on the following topics: standard form, expanding brackets and factorising, fractions and differentiation. Solutions are included. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Differentiation rules worksheet (with solutions)

A worksheet on the following differentiations rules: constant function rule, power rule, addition rule, product rule, quotient rule, exponential function rule, natural logarithm function rule and chain rule. Detailed solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Differentiation worksheet (with solutions)

A worksheet on elemetary differentiation. The exercises require use of the power rule and the addition rule. Solutions are included. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Exit Ticket - Chain Rule

I give this to the students (printed in A4 or A5 depending on how much room they need) at the end of the lesson to assess an overview of the lesson. I mark it as soon as I can (ha) and it allows me to spot any misconceptions. The last question is a challenge one to push the most able students.

#### Exit Ticket - Basic Differentiation and sinx, cosx, ex

I give this to the students (printed in A4 or A5 depending on how much room they need) at the end of the lesson to assess an overview of the lesson. I mark it as soon as I can (ha) and it allows me to spot any misconceptions. The last question is a challenge one to push the most able students.

#### 3 Differentiation worksheets (with answers)

Two worksheets on the Chain rule and one on implicit differentiation. Solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

#### Implicit differentiation worksheet (with detailed solutions)

A worksheet on implicit differentiation. Detailed solutions are provided. From https://placeformath.blogspot.com.cy/

#### Maths for Engineers

Powerpoints cover all areas of the BTEC maths for engineers unit

#### Indices/ Fractional Indices/ Surds

This is a set of 3 lessons looking at all aspects of Indices, from the 3 basic rules, through to differentiation. Calculating using the 3 rules of Indices Lesson 1 The power and root starter can be projected onto the board and printed out so the students can fill in the sheet and spot the problem that they have no solution for. Then the three laws of indices are introduced and each time the students have 7 questions to complete. A power point is also attached with these on. There are then 6 mixed question which also introduces algebra as well as just numbers. 4 more complex questions will then be tackled as a group. Plenary – here they need to work out the powers of numbers by using the 3 laws they have learnt Investigating Fractional Indices Lesson 2 Here the students have a Thunk as a starter. You will introduce the idea of any number to the power of zero and how to prove it using the powers of indices. Students will use a calculator to see if they can work out what the fractional indices ate doing to the number, make sure they write the questions down and keep the solutions as fractions, or they will struggle to spot what’s going on. Then negative powers are introduced and again the students need to decide what’s going on. There is a worksheet embedded, a power point to use as an extension where 5 out of 10 questions are correct, the students have to decide which. There is a plenary flipchart embedded with a set of questions where the students have multiple choice answers that you can use an activote pod, or ABCD cards etc, or get them to do it as a quiz. Converting between Indices and Surds (A/A*) Lesson 3 There are starter questions which look at simplifying surds. Then you look at how to convert from fractional powers to surds and visa versa. You can then look at fractions and how to combine them with indices, The last two slides are to do with differentiations, if you haven’t covered this you can just change the 2nd slide from surd form into indices.

#### Converting between Indices and Surds including differentiation questions to change (A/A*) Lesson 3

This is the 3rd in the set of 3 lessons (all 3 are available in a bundle) There are starter questions which look at simplifying surds. Then you look at how to convert from fractional powers to surds and visa versa. You can then look at fractions and how to combine them with indices, The last two slides are to do with differentiations, if you haven’t covered this you can just change the 2nd slide from surd form into indices.

#### Introduction for Differentiation (for New GCSE or AS)

This is a block of 3 lessons which introduces students to differentiation, it has 4 indices and surds questions, then has questions on y=mx+c so you can talk about gradients, then gets the students to re-arrange linear equations to find the gradients of them. Lesson 1: You then draw graphs and tangents and calculate the gradient of the curve via triangles. The gradient of a tangent as a limit is explained by drawing 3 different chords and calculating what happens as the chord get closer to the point on the curve. Lesson 2: After this you introduce differentiation, with a single term and then a polynomial, there are questions with solutions and a sheet for HW. Lesson 3: You then introduce the idea of a gradient=0 and what it would look like, the stationery points are shown and the second derivative is introduced, and calculated to show the nature of them.

#### Complete course bundle Higher Maths Resources

Complete course bundle Higher Maths Resources. Includes a wide variety of Powerpoints, Smartboard Notebook lessons, worksheets, homeworks, assessments, revision handouts, and games.

#### A level bundle pure & statistics

View in slideshow from beginning.

#### Factor theorem

A powerpoint explaining the use of the factor theorem. this was designed to be used with the bridging course &quot;Level 2 further maths&quot;, but it will be applicable to other courses.

#### Grade 10/11 Maths Practice Test

A short practice test with a variety of questions for levels Grade 10/11 - Year 11/Year 12) This paper should be completed with a calculator. The time limit is 1 hour and 20 minutes, and test test itself should not take much longer than this. Working should be shown, and written down whenever possible. Learning objectives: A variety of topics including factorisation, statistics, equations, geometry and differentiation. List of Files: Pdf file of Questions If there are any errors in the paper (which there probably will be) let me know and I will fix and reupload asap. Kind regards, gyl4455

#### C3 differentiation star challenge

Print off one star questions on green, two star on blue, three star on yellow, four star on red. Laminate for longevity! Students choose their level of question, trying to accumulate the most points in the time allowed. They check answers with you as they go, and you can record their points on the spreadsheet, so everyone can see current scores (just add names in the left hand column). Answers in separate file

#### Socrative quiz codes mainly for a level

For those of you who use socrative.(Outstanding lesson all the time!) Codes are on the document for the following topics Normal distribution S1 Sequences and series for C1/C2 Indices for c1/c2/A*gcse Factorising for gcse/weak c1 Differentiation for C1 Expanding brackets/collecting like term. Explanations given for all questions to students on the quizzes

#### C2 Revision sheets

Short revision exercises sorted by topic. A quick recall of key facts followed by Edexcel past paper questions on that topic. Includes Radians Logarithms Factors Coordinate geometry Binomial expansion Sequences and series Trigonometry Differentiation Integration

#### Differenciation - C1/C2 Worksheet

This material is suitable as a homework or classwork sheet. It is categorised into two sections- A and B, and questions have been scaled in order of challenge.

An investigation using Autograph on finding the gradient function of a curve using the gradient of the tangent. Looks at simple polynomials. Let me know what you think.

#### FP3 Standard Results for Differentiation and Integration [EDEXCEL]

This is a simple PDF outlining all the standard results that are given in the formula book and a few results that are not given in the formula book, but may be examined on. This document also includes some extra things like general patterns to look out for in integration and what you need to do when faced with a substitution question (hint: hyperbolic and trigonometric substitutions can be tricky!). This is designed as a 'cheat sheet' as opposed to a full revision guide.

#### Standard results for C3 and C4 differentiation and integration

This is a PDF outlining all the different areas of differentiation and integration in Core 3 and Core 4. It is modelled from the Edexcel specification but is suitable for all exam boards. There's also some rules for differentiation and integration methods (chain rule, integration by parts, etc.) I hope you find it useful!

#### A Level Use of Differentiation Lesson

A lesson based on Core 2 Differentiation for Edexcel. The lesson allows pupils to discover how the second derivative helps them to determine the nature of stationary points.

#### GCSE Differentiation - Notes and Worked Examples

This is a powerpoint covering basic calculus for GCSE. 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; each one is given an approximate grade in both new (2017 onwards) and old system in England. It’s what I use in my lessons before setting tasks from worksheets or text books to practise.

#### A level Graphs: normals, max/min, turning points dy/dx and second derivative

powerpoint: view in slideshow. A level Graphs: normals, max/min, turning points dy/dx and second derivative

#### Core 3. Discovering the derivative of e^x using a graphics calculator

This was born in one of those teaching moments when you begin a story and it threads through your whole lesson. The original analogy snowballed, i hadn't even thought of creating a family (!) but we went on a journey and I have tried to capture the essence of our discussions and enjoyment as we formed our own rules for differentiation!!

#### GCSE Mathematics with AQA Further Maths Lessons, Exercises and Solutions

This PDF contains 65 chapters, each containing explanations, worked examples and exercises. There is a Solutions section after the lesson chapters with worked solutions to each exercise. It is not intended as a standalone book but instead should augment other literature and learning resources you may be using. Remember, you can never do too much maths. We have adopted an informal tone whilst retaining appropriate nomenclature and detail where necessary. Throughout the chapters, where appropriate, we have included exercises aimed at students doing Further Maths. Some of these are complete, new chapters such as Matrices (Chapter. 57). Others are simply additional exercises within existing GCSE topics that we have extended to incorporate the Further Maths syllabus. In either case they are designed to challenge you and allow you to experience the transition from the Higher tier to the next level. This has been exported from an iBook copy (available on iBooks) and unfortunately as such the chapter hyperlinks do not work. We are updating this book on a regular basis so if you purchase it please return to download the free updates.

#### Higher Mathematics Unit 1 Differentiation 23x Presentations

Higher Mathematics Unit 1 Differentiation 23x Presentations. Each presentation is around 5 slides and allows for a structured development through each aspect of differentiation in unit 1.

#### Alevel Partial fractions

Powerpoint: view in slideshow.

#### Maths Keynote and Powerpoint Presentations

You can access FREE math PRESENTATIONS and WORKSHEETS for your lesson. You can even edit your presentation that would suit your teaching style. numberbender will be your teacher assistant online. www.numberbender.com is mobile device ready. You can easily view all the math lessons using your smartphones and mobile tablets. You can use numberbender to catch up on the math lessons that you missed in class. Plus there are VIDEO TUTORIALS that will help you review on your math test the next day.

#### Local Linear Approximation

More great resources from Algebra2go! Whether you are attending a math class at Saddleback College, taking a math class at another school, or just need to refresh your math skills for a business or science class, we have tools that can help. For more information, visit: www.algebra2go.com

#### A-Level Edexcel C3 January 2010 Q4(ii)

Worked solution to this question on differentiation methods. To see the question go to ExamSolutions http://www.examsolutions.co.uk/a-level-maths-papers/Edexcel/Core-Maths/Core-Maths-C3/2010-January/paper.php#Q4

#### Autograph Tutorial Video - The Gradient Tool

The 27th in Mr Barton's Autograph Video tutorial series. Following on from the last couple of weeks where we have looked at straight line graphs, this time we take a look at Autograph's excellent Gradient Function. We see how useful it can be for studying straight lines, and as a way of introducing older students to the joys of differentiation and calculus. Below the video you will find an option to download it and play it on a larger screen, or by clicking on the web-link you can see all the videos in this series.

#### Measurement - time Level 1 numeracy

Simple resources to help students understand time