Advanced pure teaching resources: Parametric equations

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

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A level maths revision, C4 integration, volumes of revolution

A level maths revision, C4 integration, volumes of revolution

Four challenging exam-like questions with fully worked out solutions for A level and IB students who want to test their knowledge of volumes of revolution (C4 Integration).In each question, a solid of revolution has to be subtracted from or added to the integral. The curve in one question is described by parametric equations. Another question uses trigonometric functions. The problem of finding the radius and height of cone/cylinder, is addressed in the solutions.

By GreenwichMaths

Implicit and Parametric functions

Implicit and Parametric functions

A pair of presentations that explain what Implicit and Parametric functions are and how you can differentiate them. Presentations have detailed explanations and clear worked examples of exam style questions.SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

By al_robinson76

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C4 integration mark scheme

C4 integration mark scheme

**All questions are completely new and have not been previously published, therefore students will not be able to have access to mark schemes or have seen them before.**A C4 worksheet mark scheme with examination style questions on the topic Integration. Each question has the value of marks it is worth on the right hand side. The worksheet can be used as homework, in-class or even an assessment.

By damien-gow

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C4 mark scheme bundle

C4 mark scheme bundle

This bundle includes all of the C4 worksheet mark schemes, if you purchase all of the mark schemes together they will be discounted by 50%.

By damien-gow

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C4 exam paper mark scheme

C4 exam paper mark scheme

**All questions are completely new and have not been previously published, therefore students will not be able to have access to mark schemes or have seen them before.**A C4 exam paper mark scheme which has very similar questions to a real C4 exam.

By damien-gow

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C4 parametric equations mark scheme

C4 parametric equations mark scheme

**All questions are completely new and have not been previously published, therefore students will not be able to have access to mark schemes or have seen them before.**A C4 worksheet mark scheme with examination style questions on the topic Parametric Equations. Each question has the value of marks it is worth on the right hand side. The worksheet can be used as homework, in-class or even an assessment.

By damien-gow

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Standard results for C3 and C4 differentiation and integration

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!

By oinkk

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FP3 Standard Results for Differentiation and Integration [EDEXCEL]

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.

By oinkk

Team Revision Tasks - Core 4 (Edexcel)

Team Revision Tasks - Core 4 (Edexcel)

These are an attempt to break from the monotony of past papers in the run up to exam season. I have taken 2 or 4 (depending on whether they will fit on a page!) questions from past papers and put them on one sheet; I will photocopy onto A3 for students to have a go in groups and discuss. The aims/rules etc are all listed if you wish to follow them and hopefully they all make sense. I have also provided answers.

By alutwyche

Core 3 & 4 Basic Skills Quizzes

Core 3 & 4 Basic Skills Quizzes

Quizzes involving 12 quick questions (and answers) covering the basic skills students need to know for their A-Level Core 3 & 4 exams such as trigonometric identities, binomial expansion, differentiation & integration of trigonometric functions & exponentials etc. More on their way . . .

By JellyMaths

KS5 AQA Homework booklets: Core 2, Core 4 & FP3

KS5 AQA Homework booklets: Core 2, Core 4 & FP3

These were born from a HoDs meeting where we were asked to evidence progress and student response to teacher guidance.I have to thank http://www.physicsandmathstutor.com/ and http://www.thechalkface.net/resources/alevel/ for their excellent websites. It was here where i got my inspiration (and most of my resources too).My plan is to give these to students as the course begins and we refer to their learning schedule either directly following a lesson or on a weekly basis. Homework will be set at the appropriate times and when the work is handed back to students, i will give them sufficient time to digest and glean the key areas/tips needed for improvement. We then, as a class, will discuss when we will re-visit the questions they need to look at again (for me this will be on a the same day each fortnight). My vision is that students will know to get these folders out and use THEIR notes in order to make and evidence their progress. These questions will be marked in class (self/peer).If you need specific sheets, please DM me via twitter, @billyads_47, and i will gladly share. Equally, if you do use these with your classes I'd be interested to see how it went and what can be changed to improve for future years.

By Billyads_47

QR Code Defuse The Bomb Activities - Core 3 and 4

QR Code Defuse The Bomb Activities - Core 3 and 4

I use these as a break from the "past paper drudgery" in the run up to exams. The questions are taken from past papers (amended in some cases). The idea is to answer each question fully then scan the QR code linked to the correct answer to form a code. Each QR code (correct or incorrect to avoid "cheating") scans to a song or artist that contains a number or colour, so this generates the code.

By alutwyche

Parametric Equations (A-Level: C4)

Parametric Equations (A-Level: C4)

Tough C4 maths question on parametric equations. Students complete the question STEP-BY-STEP - use the link below to try it as a starter in class or send the link to students to do it themselves!https://markit.education/dev/?id=687#direct_demo

By khathi

Parametric Equations to Cartesian Equations Jigsaw

Parametric Equations to Cartesian Equations Jigsaw

Tarsia hexagonal jigsaw for Core 4 Edexcel (6666) questions involving rearranging parametric equations into the equivalent Cartesian equation.To open the file you need to download the file and then open the file from Tarsia as unfortunately it will not open tarsia correctly.

By Salters

Parametric Equations Topic Mat

Parametric Equations Topic Mat

A mat to summarise key concepts from the C4 topic Parametric Equations (Edexcel). I also include a suggestion for how the mat could be filled out. I usually use it as a plenary – ask the pupils for the key ideas from the lesson and collectively fill in sections over a sequence of lessons. At the end of a topic they have a topic mat from which to revise from. I also photocopy them on different coloured paper so they act as dividers in students’ folders.I am creating these resources as part of an action research project at my school looking at preparation for improving students retention across a two year linear course and trying to bring the science of memory into the classroom. If you have used these resources and have any comments/feedback/ideas please comment or contact me - thanks!

By GemmaLinnell

C4 exam paper

C4 exam paper

**All questions are completely new and have not been previously published, therefore students will not be able to have access to mark schemes or have seen them before.**A C4 exam paper which has very similar questions to a real C4 exam.Answers can be found here: https://www.tes.com/teaching-resource/c4-exam-paper-mark-scheme-11368034

By damien-gow

AQA Core 4 revision poster (Harry Potter themed)

AQA Core 4 revision poster (Harry Potter themed)

Have written this in preparation to use with my year 13s as they begin their past paper revision. I always like to condense the pertinent notes onto one side of A4. By making it a word they can remember, i hope this helps students recreate the poster for themselves, hence acquiring the correct techniques for their exam. Quite tempted to make a Gryffindor revision poster for Core 3 now ...This has not been used as yet so i would appreciate ANY feedback ...

By Billyads_47

C4 parametric equations

C4 parametric equations

**All questions are completely new and have not been previously published, therefore students will not be able to have access to mark schemes or have seen them before.**A C4 worksheet with examination style questions on the topic Parametric Equations. Each question has the value of marks it is worth on the right hand side. The worksheet can be used as homework, in-class or even an assessment.Answers can be found here: https://www.tes.com/teaching-resource/c4-parametric-equations-mark-scheme-11368018

By damien-gow

C4 integration

C4 integration

**All questions are completely new and have not been previously published, therefore students will not be able to have access to mark schemes or have seen them before.**A C4 worksheet with examination style questions on the topic Integration. Each question has the value of marks it is worth on the right hand side. The worksheet can be used as homework, in-class or even an assessment.Answers can be found here: https://www.tes.com/teaching-resource/c4-integration-mark-scheme-11368020

By damien-gow