Elementary differentiation worksheets (with solutions)

Three worksheets on differentiation rules: power rule, constant rule and sum rule. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

Differentiation - Power, Constant, and Sum Rule worksheet no 2 (with solutions)

A worksheet on differentiation rules: power rule, constant rule and sum rule. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html

Writing exponential expressions in the form ax^n

These 2 worksheets are intended for students to practice the skill of rewriting experessions into the ax^n for required for differentiation and integration in isolation, rather than them having to learn/practice doing this at the same time as applying the power rule.

Investigating Derivative of a Curve

Investigation of derivative of the curve.

Calculus: Optimisation

The presentation begins with a review of quadratics and presents students with an optimisation question which they are expected to solve using quadratics. The concept of optimisation is then explored in more detail by asking students to find the maximum volume that can be made from a 12cm x 12cm square (in the context of for instance minimising production costs). This site provides a useful platform through which to launch into a discussion about finding the maximum volume. There are then a selection of questions which I printed out and placed around the room for students to tackle, in pairs. For the plenary, the students are presented with a similar (but note not identical) problem to the one at the start of the lesson and are asked to solve using calculus before checking their answer using quadratics. Please Review

Differentiation Revision Notes 1

4 pages of concise revision notes on basic differentiation. This includes a table of various functions and their differentials, definitions, maxima and minima, chain rule, product rule and quotient rule. Links to useful resources are also added. Supplementary examples will be added in future, provided these notes are useful to students.

An introduction to calculus

Designed as an activity to introduce calculus, this 3 page worksheet guides students through the idea of rates of change, the gradient of a straight line and then the gradient at different points on parabolas . Parabolas could be drawn by different students and then results shared. The idea is to derive the rule for parabolas of the form y = nx². The worksheet does not go into derivation using δx.

Algebra: Integration BUNDLE (5 Lessons) + Resources

This is a superb 5 lessons to teach all the different aspects of AS Level Integration. The 5 lessons are as follows: Integration 1 - An Introduction Integration 2 - Finding an Area Integration 3 - Area Problems Integration 4 - Areas bound by the y-axis Integration 5 - Trapezium Rule For further details for each individual lesson then do view each lesson individually. However, all lessons come with starters, differentiated learning objectives, key words, excellent teaching slides and examples, worksheets and exam questions with answers and plenaries. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you!

Algebra: Integration 4 - Areas bound by the Y-Axis (+ resources)

This is the fourth lesson looking at integration and follows on from the previous lessons by looking at the areas that are bound by the Y-Axis. Sometimes I do teach this as lesson 3 as to some degree it is logical to teach it in that order. 17 slides + worksheet + exam questions and all with answers. The lesson includes: Starter - a quick exam question on integrating with bounds to focus students on integrating skills again Learning Objectives - differentiated by outcome Superb teaching slides showing what to do with areas bound by the y-axis and again what happens with a negative area?! AFL questions to check understanding of re-arranging An AFL/ exam questions to check understanding on various elements of the learning and looking out for any areas of misunderstanding Exam questions with ANSWERS (could be used in class or as homework) A worksheet with ANSWERS (could be used in class or as homework) Plenary - a quick review and feedback on learning during the lesson before going further into more areas of integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

Algebra: Integration 5 - Trapezium Rule (+ resources)

This is the fifth lesson looking at integration and follows on from the previous lessons by looking at the trapezium rule to estimate or approximate the area under a curve. 19 slides + a exam questions with answers. The lesson includes: Starter - a quick question on integrating with bounds to focus students on integrating skills again Learning Objectives - differentiated by outcome Superb teaching slides showing why the trapezium rule is a good approximation and how it works. Lots of examples and AFL questions for students to check understanding Exam questions with ANSWERS. Plenary - a quick review and feedback on learning during the lesson before going further into more areas of integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

BTEC Assignments (1-3) Unit 7: Using Mathematical Calculations for Science Assignments

These are the assignment briefs of BTEC National Applied Science Unit 7: Mathematical Calculations for Science. All these assignments have been verified internally. Teachers can add the assessor name and their school logo after editing the front sheet. All these briefs have been written in alignment with the BTEC Unit 7 specification or syllabus.

Algebra: Integration 3 - Area Problems (+ worksheet)

This is the third lesson that I teach on integration and follows on from the second lesson beginning to look at using integration to solve area questions. This lesson looks at area problems and more complex examples that are the type of questions that get asked in exams. 20 slides + a great practice worksheet with answers. The lesson includes: Starter - a quick question on integrating with bounds to focus students on integrating skills again Learning Objectives - differentiated by outcome Key Notation - explanation and detail given as this is often an area of confusion Teaching slides showing the process and some of the problems that come with area problems. How to find the bounds and issues when questions do not involve an area bound by the x-axis. It comes with several excellent examples and teaching slides. AFL questions and activities for students to check understanding An excellent worksheet with ANSWERS. Plenary - a quick review and feedback on learning during the lesson before going further into more areas of integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

Algebra: Integration 2 - Finding an Area (+ worksheet)

This is the second lesson that I teach on integration and follows on from the introductory lesson. It does practise basic integration, but now puts it into the context of finding the originial equation and mainly finding an area under a curve. 25 slides + a great practise worksheet with answers. The lesson includes: Starter - a quick question on area to get students occupied as they come in and thinking Learning Objectives - differentiated by outcome Key Notation - explanation and detail given as this is often an area of confusion Teaching slides showing the process of integrating and substituting to find an original equation and some superb graphics and slides to teach about the area under the curve. It comes with lots of examples. AFL questions and activities for students to check understanding An excellent worksheet with ANSWERS. Added a fair simpler worksheet for the less able or to set for homework as practise of the basics. Also a handout to remind pupils of some of the index rules they might encounter Plenary - a quick review and feedback on learning during the lesson before going further into more complex area problems involving integration. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

Algebra: Integration 1 - An Introduction (+ resources)

This is one of my favourite lessons to teach and the activity is one of the reasons. This is a whole lesson introducing the topic of integration. 25 slides. The lesson includes: Starter - a quick question on differentiation to get the brain working and to remind students the process of differentiation Learning Objectives - differentitated by outcome Key Words and Notation - a lot of explanation and detail given as this is often an area of confusion Teaching slides showing the process of differentiation and how integration is the opposite (often print these of as handouts for pupils. Teaching slides on +C making it really clear what it is and its importance Several superb and very clear teaching examples AFL activity for students to check understanding An excellent and really challenging matching activity. This comes with an accompanying handout on index rules as this is half the key battle. Includes ANSWERS. Added a fair simpler worksheet for the less able or to set for homework as practise. Plenary - a quick review and feedback on learning during the lesson before going further into more complex integration. Last time I taught this we ended up doing two lessons before moving on from the feedback as pupils were not confident enough on the basic skills NOT of integration but index rules. One of my responses was to to develop the handout with rules for support and guidance. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDBACK, thank you!

A-Level IB - Differentiation from 1st Principles (with exercises)

A great introduction to the tricky concept of differentiation. Fully animated graphical display of how we use tangents to curves to differentiate a function, with regular examples for the teacher to explain key concepts. Solomon Worksheet Questions and Answers provided and embedded throughout the Powerpoint. If you like these resource, please review so I can see if there would be interest for my other A-Level / IB resources.

Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes This is the second quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have only algebraic integrands. Included is a separate set of very detailed step-by-step solutions.

Calculus Quiz - Integration by Alg Sub 1 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes (3 pages) This is the first quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have algebraic integrands. Included is a separate set of very detailed step-by-step solutions.

Partial Fractions

Differentiated A level lesson plan and presentation to help students understand Partial Fractions. Starter, task, assessment and plenary for the lesson

Graph of the Derivative f'(x)

Exercise gives graph f(x). Students to sketch the graph of the derivative f'(x). Original Promethean flipchart exercise included. Click on Design Mode to reveal answers or to edit.

Reference Cram Sheets - Table of Derivatives

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Test Preparation This is a complete table of the derivatives of all algebraic, trigonometric, exponential, logarithmic and hyperbolic functions that students taking AP Calculus through sophomore Linear Algebra and Ordinary Differential Equations are likely to see. The table contains 49 items, including basic properties and derivative formulas with some variations. This Table of Derivatives was designed as a companion to the Short and longer-form Table of Integrals. .pdf will not open on phone, use a computer or tablet.

Calculus Worksheet - Derivatives by Definition 1 - Polynomial and Rational Functions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (4 pages) This is the first worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of polynomial and rational functions by the definition.

Calculus Worksheet - Derivatives by Definition 2 - Radical Functions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheet (5 pages) This is the second worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of radical functions by the definition.

Calculus Worksheet - Derivatives by Definition 3 - Trigonometric, Exponential & Logarithmic Fcns.

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (5 pages) This is the third worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of trigonometric, exponential and logarithmic functions by the definition.

IGCSE 9-1 Exam Question Practice (Differentiation)

This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Click 👉 tes.com/../Exam Question Practice… to download question compilations on more than 40 other topics. I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do focused independent study on a topic. -- 👍If you like this resource, then please rate it and/or leave a comment💬. If the rate-resource button on this page does not work, then go to your ratings page by clicking here 👉tes.com/.../rate-resources…

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

Differentiation - Power, Constant, and Sum Rule worksheet (with solutions)

A worksheet on differentiation rules: power rule, constant rule and sum rule. 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

Key revision points for C2 Core A-Level Maths

A collection of key points to remember for C2 Core AS Maths. Prevents against silly mistakes and allows students to reach top marks! Possible mistakes collected from the questions and mark schemes from 20+ past papers. Relevant to C2 content: &gt; Proof &gt; Logarithms &gt; Integration &gt; Differenciation &amp; differenciation from first principles &gt; Sequences and series &gt; Sectors &gt; Trigonometry and graphs &gt; Trig identities &gt; Log and exponential graphs &gt; Translations &gt; Significant figures &gt; Trapezium area calculations Information divided into clear headings with very important points highlighted in yellow. Recommended for A-Level Maths students taking C2, especially relevant for OCR MEI exam board. An invaluable collection of points to have before an exam.

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

Algebra with Fractions basics - help for KS5 (or KS4)

This question sheet is aimed at A Level students who are struggling to do simple algebraic manipulation where fractions are involved. For the most part these are not typical 'algebraic fractions' questions (e.g. adding algebraic fractions), but are more basic than that. For example, I have encountered students who are otherwise working at fairly high grades but are unable to differentiate, say, 3x/4 because they cannot see that it is equivalent to 3/4× x (and hence simply x multiplied by a constant). Another issue is that students quite often ‘simplify’ fractions by trying to cancel in invalid ways.

Exit Ticket - Product 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.