Advanced pure teaching resources: Co-ordinate geometry

Resources and ideas for mathematics, advanced pure, co-ordinate geometry, written by teachers to support teaching and learning

  1. Home
  2. Mathematics
  3. Advanced pure
  4. Co-ordinate geometry
Roots and Turning Points

Roots and Turning Points

A series of lessons (2-3) on finding the roots and turning points equations. It recaps the skills required such as solving, factorising and completing the square on a quadratic and then develops these skills to find roots and turning points of an equation. There are plenty of reasoning tasks suitable for the new curriculum and this stretches the more able to understand the properties of graphs. There are also algebraic questions and links it to sketching graphs.All tasks are differentiated to 3 or 4 levels to allow the skill to be practiced and then to stretch and challenge the more able. All tasks have either worked solutions or typed solutions so that the pupils can self mark. This has been used with top set year 11, all pupils engaged and made good progress.

By IanBrennan

BUNDLE Easter Math Activities

BUNDLE Easter Math Activities

This bundle has four different resources each with an Easter theme! They cover a range of abilities (please see each resource for further details) you will find something for any class!Each resource comes complete with instructions, solutions and ideas for support/stretch.Have a great Easter everyone!Looking for the US version? Check it out here; BUNDLE Easter Math Activities US

By NumberLoving

Rearranging to y=mx+c  (Math Art- Easter Special)

Rearranging to y=mx+c (Math Art- Easter Special)

Math Art combines the fun of colouring and the consolidation of mathematical skillsIdeal as a plenary activity to determine what learning has taken place, alternatively use to determine pupils prior knowledge to a topic and of course great for revision.In this math art activity pupils need to rearrange from the implicit function to y=mx+c and hence identify the gradient. Pupils then shade all the squares with those answers in the colour stated. As a result pupils will have a picture of an Easter chick.This resource comes complete with instructions, solutions and ideas for support/stretch. Check out our blog for more Easter Maths ideas.

By NumberLoving

AS Tranformations of functions

AS Tranformations of functions

An introduction to transforming functions for C1. The worksheet provided has axes for students to draw the transformed functions. The second lesson moves away from using the coordinates and includes an example of an exam question.

By 2molarHCl

Core 1 Coordinate Geometry (Revision Foldable)

Core 1 Coordinate Geometry (Revision Foldable)

Foldables can be used as a revision or summary exercise at the end of a topic. As the answers are hidden pupils can use these to ‘test’ themselves or ask someone else such as a parent to test them.This foldable requires pupils to recall the formulae needed for the Core 1 Coordinate Geometry of A Level Mathematics.It comes complete with solutions and instructions.This foldable is also available as part of the foldable bundle. Check it out in the NumberLoving Shop!

By NumberLoving

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

Core 3 (Edexcel) Revision

Core 3 (Edexcel) Revision

Here is my power point trying to structure questions for C3 from past papers. I have split the paper into 7 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 2006-2014. Also works extremely well on iPads.

By supergenau

Transformation of Graphs

Transformation of Graphs

Activity 1 Students should be given a copy of the grid and the the cut out transformed graphs from the answer grid. They then need to stick these on the grid. Activity 2 Transformations of Graphs 1 and 2 contain some functions and some blank grids. Set some transformations and then ask the students to sketch the transformed functions.

By ianmckenzie

Drawing pictures using functions on Desmos.com

Drawing pictures using functions on Desmos.com

This is a fun lesson for the very able. After teaching functions and their graphs and transformations of graphs this lesson guides students in using this knowledge to draw graphical pictures. The worksheet teaches the student step by step by guiding them to draw a house with a chimney. That takes the first 20-30 minutes at which point students are directed to drawing their own.

By bdsouza1

Gradients

Gradients

A set of worksheets that shows how to calculate gradients of lines drawn on grids then moves on to equations of straight lines and the form y = mx + c.Please see my other resource for worksheets about perpendicular lines and their gradients which is available via my shop at https://www.tes.com/teaching-resources/shop/Skillsheets

By Skillsheets

Transforming Graphs

Transforming Graphs

A* transformations of graphs lesson. Use of f(x) notation throughout. Starter worksheet on matching graphs. Powerpoint with step by step introduction to the topic with examples on accompanying worksheets, mini-whiteboard activities, an opportunity for graph aerobics and a worksheet on exam questions. Also included a plenary question on combined transformations. I wrote this lesson for an observation with my year 11 class but I used the affect on coordinates worksheet as a refresher for my year 12 core class too and it went down well. Hope this is useful for someone!

By becci1987x

Outstanding Core 1 Lesson Circles

Outstanding Core 1 Lesson Circles

This resource is from an Outstanding lesson for Core 1 A level Mathematics on the topic of Circles.The common request I hear from training and coaching teachers is for an example of an Outstanding lesson. Although you may not be able to observe the lesson, having a copy of the lesson can still be of great benefit. I hope you find this useful. This lesson can be used in the following ways:To use for a future observationAs a resource to discuss with team members contributing towards CPDTo use as a school wide bank of Outstanding lessons to support school CPD

By n_s4

BUNDLE Revision Foldables

BUNDLE Revision Foldables

*UPDATED 29th MARCH NOW INCLUDES NEW FOLDABLES Foldables can be used as a revision or summary exercise at the end of a topic. As the answers are hidden pupils can use these to ‘test’ themselves or ask someone else such as a parent to test them. This bundle includes 12 foldables and I do add to it so its worth checking back. Follow NumberLoving for regular updates on resources, so you know when to re-download! Thank you for looking, I hope colleagues find the resources useful in the classroom. Get in touch via @numberloving or numberloving@outlook.com

By NumberLoving

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

Egyptian Graph Dancing: Transformation of Graphs

Egyptian Graph Dancing: Transformation of Graphs

An interactive lesson in PowerPoint for senior secondary pupils to help with transformation of graphs, in particular cubics, exponentials and logarithms. Pupils are shown how to represent these graphs in the manner of an Egyptian sand dance and then have to demonstrate the transformations. Ideal for KS4, C1, C2, C3 and C4 students.

By DCBradshaw

Revision Guide 'The Big 50' - C1, C2, C3, M1, S1

Revision Guide 'The Big 50' - C1, C2, C3, M1, S1

A checklist of 50 I can do this statements designed to cover the Edexcel syllabus for students revising. Answers not provided - they are for the students to research - but The Big 50 does provide a useful framework. Modules here: C1, C2, C3, M1, S1, as well as GCSE Statistics.

By maths126

BUNDLE Tick or Trash

BUNDLE Tick or Trash

*UPDATED 3RD MARCH NOW INCLUDES NEW TICK OR TRASHES! Test your students' ability to spot mistakes and develop their understanding with this activity. Pupils are given two different answers to a question and have to determine which is correct. They then have to explain what misconception has led to the incorrect answer. Each resource consists of increasingly difficult questions on the topic. Topics included in this bundle are 1. Rationalising the denominator 2. Comparing fractions, decimals and percentages 3. Vectors 4. Evaluating composite functions 5. Finding the gradient 6. Sharing amounts by ratio 7. Comparing data sets 8. Solving inequalities 9. Reciprocals 10. Completing the square

By NumberLoving

Risps PDF Ebook Edition 4

Risps PDF Ebook Edition 4

The pdf collects together into a single document the 40 investigatory tasks from the popular Risp website created by Jonny Griffiths at www.risps.co.uk. These activities are all pure maths ones, and are written for the A Level Maths syllabus. They represent excellent practise on problem-solving. There are 151 pages, and hyperlinks enable easy navigation.

By Jonny_Griffiths

Graphs of Quadratic Functions (2)

Graphs of Quadratic Functions (2)

This worksheet is a follow-up of ‘Graphs of Quadratic Functions (1). It has 30 quadratic functions of which the graphs need to be drawn on blank coordinate systems, one for each function. The first 18 functions given are in the form y = p(x + q)2 + r ; by applying appropriate transformations their graphs need to be derived from the standard parabola of the function y = x2. The last 12 functions are given in the form y = ax2 + bx + c and in order to draw the graphs of these functions, they need to be written in the form of y = p(x + q)2 + r by completing their square.This worksheet is aimed to give the skill ‘Completing the Square’ a clear purpose and it also can be used as an introduction to transformations of graphs. The worksheet includes answers.The worksheet is targeted at the full range of students (grades 4 - 9) doing GCSE Mathematics Higher Tier. It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete this worksheet.

By mathsmuscateer

Graphs of Quadratic Functions (1)

Graphs of Quadratic Functions (1)

This worksheet has 30 parabolas drawn on individual coordinate systems. For each graph, the corresponding quadratic function needs to be found in the form of y = p(x + q)2 + r and then to be written in the form of y = ax2 + bx + c. The idea of this worksheet is to apply one or more transformations to the standard parabola with function y = x2 to find the functions of a range of parabolas. Transformations to be used are: horizontal translations, vertical translations, vertical stretches and reflections in the x-axis.This worksheet is not only useful to introduce transformations of graphs and the effect they have on functions, it also provides practice for expanding brackets and shows the link between the two formats of quadratic functions as a first step towards completing the square. In ‘Graphs of Quadratic Functions (2)’ this link is further explored. The worksheet includes answers.The worksheet is targeted at the full range of students (grades 4 - 9) doing GCSE Mathematics Higher Tier. It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete this worksheet.

By mathsmuscateer

IB HL Mathematics Practice (Mock, Trial) Exam May 2017 Core Papers

IB HL Mathematics Practice (Mock, Trial) Exam May 2017 Core Papers

Practice core papers for IB HL Mathematics May 2017. Written in a new format, each paper is out of a 100 marks. Full step by step solutions. GDC screens provided in Paper 2 markscheme. Detailed syllabus coverage, differentiated difficulty make this trial exams an excellent practice for students sitting May 2017 exams or preparing for November 2017 examinations.

By bgm2016

Core 4 (Edexcel) Revision

Core 4 (Edexcel) Revision

Here is my power point trying to structure questions for C4 from past papers. I have split the paper into 6 sections and tried to group questions together. 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

A-Level Maths C2 - Equations Bank

A-Level Maths C2 - Equations Bank

Full set of equations and key notes in c2 Chapter 1-4. Very detailed a total of 3 pages and 352 words. Clearly set out so easy to use. Use as an aid for revision, learning and practice questions. Can be used with Pearson's c2 book.Chapter 1 – Algebra and functionsChapter 2 – The sine rule and the cosine rule Chapter 3 – Exponential and logarithmsChapter 4 – Coordinate geometry in the (x, y) plane

By Osauwese