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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OCR MEI notes (C3, C4 and M1)

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

IB and 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.

VCE Specialist Mathematics Parametric Equations

Parametric equations: examples, assessment, class activities, using TI Nspire CAS.

Practice Examination Questions

Statistics 1 Further Pure 1

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.

CIE Pure 3 - Parametric Equations PPQs with worked solutions

Here is a collection of past paper questions with detailed worked solutions on parametric equations for the CIE A-Level Mathematics course. Ideal for testing or independent practise for your pupils.

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!

Ferris Wheel Parametric Equations

An assignment or class activity in parametric equations.

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.

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.

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%.

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.

Coordinate geometry and parametric equations.

Parametric equations and Cartesian equations: circles, ellipses, hyperbolas. Class activities and assignment on Ferris Wheel to illustrate practical applications.

Parametric equations and coordinate geometry.

Class activities and assessment. Parametric equations. Coordinate geometry. Ferris Wheel

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.

C4 Reference booklet

Contains brief summary notes on ALL C4 topics with space for students to make additional notes and annotations. The booklet looks good when printed with each topic taking a double page spread. Perfect for a single point of call reference for students. This could be printed for each student and referred to throughout the course. Designed for AQA but may be suitable for other exam boards. (Approximately 16 pages).

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 &amp; 4 exams such as trigonometric identities, binomial expansion, differentiation &amp; integration of trigonometric functions &amp; exponentials etc. More on their way . . .

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.

QR Code Defuse The Bomb Activities - Core 3 and 4

I use these as a break from the &quot;past paper drudgery&quot; 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 &quot;cheating&quot;) scans to a song or artist that contains a number or colour, so this generates the code.

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.

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

C4 - Chapter 2 - Parametric Equations

Based on the Edexcel syllabus.

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!

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

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

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 ...

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

Edexcel Further Pure 1 Last Minute Revision

A powerpoint covering all the topics in Edexcel Further Pure 1 exam. Built in timers and exam questions - works well as a last lesson before the exam.

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.

Jeopardy game for MEI Core 4 revision

I have put together a Jeopardy game using questions from recent Core 4 papers (so questions that are not in the past paper booklets). I used phildb's PowerPoint Jorpardy Core 1, 2 and 3 file as a base and chose questions from Core 4. It includes solutions, which are taken from the official marks schemes.It can be played competitively in class, or ignoring scores, or set as independent homework. It makes a change from past papers, whilst still revising relevant skills and concepts.Students can choose questions from specific topics or choose a Lucky Dip. In theory the 100 point questions are easier than the 500 point questions, but that was only by my judgement.It doesn't keep track of which questions you have already used, so I kept track on the whiteboard. It actually lasted three lessons with my group to answer all of the questions. They enjoyed it.You double click on the first slide to choose a question. Orientate your board, I found four times it took me to the wrong question, but when I checked the hyperlink, each was correct, it must have been that my board was slightly out. If you find a mistake, let me know and I will correct it.Ask if you need the concept further explained.Hope you enjoy it. Thanks to phildb on TES Resources.