Advanced pure teaching resources: Integration

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

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Mathematics Core 3 C3 and Core 4 C4 Lessons

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.

By n_s4

Integration by parts

Integration by parts

A complete .ppt file that covers integration by parts method including whiteboards activities based on differentiation and integration prior learning, treasure hunt activity, examples on integration by parts and exam questions.

By mhaias

Integration of sine and cosine functions

Integration of sine and cosine functions

Power Point presentation, 11 slides, Explaining how to find the indefinite integral of the sine, and cosine functions and how to evaluate the definite integral of the same functions; use some examples to show how to integrate 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/0B8z00qLZV7Olb1FMa3hMZ1Bva0E/view?usp=sharing

By oralhurt

Core 2 (Edexcel) Revision

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.

By supergenau

Core 1 (Edexcel) Revision

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.

By supergenau

Maths for Engineers - Calculus

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.

By al_robinson76

C4 Integration Revision Guide Edexcel

C4 Integration Revision Guide Edexcel

This is a 12 page revision guide to C4 integration (Edexcel). It is useful once the chapter has been taught and to help the students prepare for the exam and revise this challenging topic. There are sections on Integration by inspection, substitution, parts, parametric integration, volumes of revolution and differential equations. Each section has revision notes, worked examples and questions to try. There are answers at the back.

By ukmaths

A level maths revision jigsaw

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.

By al_robinson76

Further Pure 2 powerpoints

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.

By danwalker

AP Calculus Visualizing The Fundamental Theorem of Calculus Study Guide

AP Calculus Visualizing The Fundamental Theorem of Calculus Study Guide

This calculus study guide will helps students differentiate between the height of a function, the average height of the function, the slope of a tangent line, the slope of a secant line, the area under a curve, and the change in height between two points. Students will compare these six characteristics of a function using an original function as well as it's antiderivative function.There are 16 total problems where students can draw in the visuals themselves. An answer key is also included. This study guide is great to help students understand the Fundamental Theorem of Calculus for the AP Calculus exam.

By MathAttractions

Areas under graphs

Areas under graphs

Suitable for Higher Tier GCSE Mathematics or Further Mathematics, this resource introduces students to a small variety of methods for working out areas underneath graphs. Starting with the counting of squares method, it introduces the Trapezium Rule and others. A chart at the end allows students to record the different estimates they have in order to compare methods, and it concludes with a few thoughts about real-world applications and the basis for integral calculus.

By Paul-911

AP Calculus Memorization Packet

AP Calculus Memorization Packet

AP Calculus Memorization Packet has tables, graphs, definitions, explanations, and examples for just about every topic covered on the AP Calculus AB test. This study guide is always being updated and organized to be more clear and to help students. A general understanding of the topics and concepts is necessary for this study guide to be of use. A lot of information is packed into six pages, organized by topics. The topics include: derivatives, applications of derivatives, integrals, application of integrals, limits, and parent functions.

By MathAttractions

Integration

Integration

Power point presentations:Antiderivative and the definite integralIntegration of f(x) = 1/x; f(x) = e^x and compositions with the linear function ax + bIntegrating by substitutionThe fundamental theorem of calculusArea under the curve, Properties of definite integralsIntegration - Area between two curvesIntegration - Volume of revolutionSolving problems using definite integration

By oralhurt

CIE Pure 3 - Integration PPQs with worked solutions

CIE Pure 3 - Integration PPQs with worked solutions

Here is a collection of past paper questions with detailed worked solutions on integration (substitution; by parts; by inspection etc) for the CIE P3 A-Level Mathematics course. Ideal for testing or independent practise for your pupils.Please leave a review and I will send you one free resource of your choice.

By conorblevins

A level checklists for students

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.

By aliali

Solving problems using definite integration

Solving problems using definite integration

Power Point presentation, 8 slides, Explaining how to use definite integration to solve problems related to linear motion and to find the cuulative effect of any varying rate of change, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlYmZTYkRNWFBMN2M/view?usp=sharing

By oralhurt

A level Integration using substitution

A level Integration using substitution

This lesson has a starter of implicit differentiation as a recap.There are then 9 questions using substitution, where you also have to re-arrange and sub in for x in terms of u. There are definite integrals. The questions also allow you to factorise your solutions as a practice (students do find this difficult)There are hand written solutions for all questions will notes to guide you through them.Please let me know what you think to the lessons by leaving me some feedback, thanks.

By Sukimax

Area under a curve

Area under a curve

This resource is prepared for pupils studying the higher GCSE (the new content)and simultaneously the AS level pupils. The contents of lesson are pupil friendly and is aimed to explain the topic very clearly to the pupils.

By nouchinjohn

Area under the curve, Properties of definite integrals

Area under the curve, Properties of definite integrals

Power Point presentation, 28 slides, Explaining how the area under any graph can be calculated using integrals defined from one point to another; State other properties of definite integrals and show some worked examples how to use theses properties, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlYWIyYzlfOTN4ejA/view?usp=sharing

By oralhurt