Quadratic Coordinate Geometry Function Circular Measure Trigonometry Differentiation Integration Series and Binomial Expansion

Based on topics that didn’t come up in Pure 1 this year. Made after the Pure 1 paper. I missed out trapezium rule accidentally so remind them to practice this too!

Slides containing, entire CIE 9709/Pure 1 chapter and sub chapters. Exercises and answers to the exercises with some worked solutions.

This slideshow is 26 slides long and is on Vectors (without any focus on the Mechanics side), it can be used to teach your students, from scratch, and covers a series of lessons containing examples, exercise questions, helpful facts and notes designed to help students learn more independently. This resource could be used by teachers or by students and is written to prepare students to sit WJEC exams but the skills are applicable to all exam boards. The topics covered are Introduction to vectors and notation Finding the magnitude and direction of a vector Finding a unit vector parallel to a given vector Finding resultant vectors, multiplying vectors by scalars and understanding position vectors Finding the position vector of a point that splits a line in a given ratio Finding the angle between a vector and the x or y axis

Erica is struggling with many aspects of the A level mathematics course and needs help from your students. What you have here is 17 of her homeworks, each with mistakes in solutions which your students need to find, correct and explain where Erica has gone wrong. These are purely designed to generate discussion and to allow students to demonstrate their understanding, whilst also allowing them to show their own methods of solving problems. These are all based upon the new A level curriculum.

In this PowerPoint, we introduce the Binomial theorem as part of the syllabus for Pure Mathematics (AS Level). In the first section, there are mentions to specific details to use the formula correctly as well as different approaches to calculate the coefficient for a specific power of the variable. In the last section, we explore different examples of worked exam-style questions, where all steps are clear and detailed. Hopefully, this resource can assist students when preparing for their examinations but also as a complementary teaching tool.

This Predicted Paper for Edexcel Core Pure is designed to give your revision that extra boost before the upcoming A Level Further Maths exams. This Core Pure predicted paper features questions on the following topics: Maclaurin Series Hyperbolic Functions and Volumes of Revolution Polar Coordinates Matrices and Proof by Induction Differentiating Inverse Trigonometric Functions Complex Series Vectors Coupled First-Order Differential Equations Video solutions can also be found for this paper over on our YouTube channel - YouTube.com/AJMaths

These tests are also now available on Kahoot and cover Pure, Statistics and Mechanics. Please see this listing /teaching-resource/resource-12474881 I’ve updated the resource I made before and mapped it to the new specification and chapter list from the Pearson text book. These are short multiple choice tests for a quick assessment. Students should be able to answer almost all mentally. Any errors, please let me know.

In this PowerPoint, we explore the topic of “Vectors”. It consists of an initial section where we go over what was learned previously, during Pure Mathematics (A2 level). Afterwards, we explore additional features of the “Further Pure Mathematics course, such as the vector product between 2 vectors as well as the vector equation and the Cartesian equations of a plane. We also introduce extra formulas for the distance between a point and a line or a point and a plane or even between 2 skew lines, amongst other. As in previous similar resources, we include, not one but 2 sections of examples of solved exam style questions. The intention is emphasizing the relation between the algebraic and geometric techniques used for A2 – Pure Mathematics and the new set of formulae available in the course of Further Pure Mathematics. As before, these examples will explore: • Possible intersections between lines and planes • Angles between lines and planes • Distances between points, lines and planes In each example, we can find detailed explanations complemented with key diagrams and tips for similar cases. Hopefully, this resource can help students when revising for their examinations as well as teachers, who can use it a complement to their explanations in lessons.

A complete set of PowerPoint resources specifically aimed at the (Edexcel) Mathematics IAL (2018) course but also suitable for the IB Diploma. The files contain fully editable teaching / revision notes, examples, animations and hyperlinks to facilitate navigation. Try the free sample before you buy: /teaching-resource/resource-11976135 Topics covered are proof, algebra and functions, coordinate geometry, binomial expansion, differentiation, integration, vectors. Files are updated on a regular basis and feedback is welcome. Follow me on Twitter and Pinterest @hatchtag73.

Edexcel A level Mathematics Pure 1 Chapter 13 Part 1/2 Homework + Markscheme, covering basic Integration techniques including finding a missing constant of integration using initial conditions. Total 35 marks.

This resource includes a selection of AS Level Maths questions by topic, to help identify levels of knowledge with Maths. The maths topics included in these are as follows: Exponentials and Logarithms Exponential Functions Introduction to Logarithms Natural Exponentials and Logarithms Solving Equations with Logarithms Using Logarithmic Graphs Differentiation Differentiation from First Principles Differentiation of Functions of the Form x^n Tangents and Normals to a Curve Second Order Derivatives Increasing and Decreasing Functions Stationary Points Integration Indefinite Integrals Definite Integrals Area Under a Curve Vectors Introduction to 2-Dimensional Vectors Magnitude and Direction of Vectors Position Vectors

I’ve updated my Kahoot quizzes and have now added Core Pure tests for Year 1 and Year 2. I predominantly use them as a retrieval tool. If you spot a mistake, please let me know as a comment below. Pure, Stats and Mechanics should all have been QA’ed by my own use but Core Pure are all new. There are a few chapters without quizzes because I couldn’t figure out how to make them Kahootable, like Linear Transformations in Core Pure 1. If you have any good ideas, please let me know. Links are in the file.

Worked examples of harder calculus for further mathematics

In this PowerPoint, we explore the concept of differentiation, designed for the AS Pure Mathematics course. We begin by introducing the reasoning behind first principles and then progress to different properties of derivatives of curves. There are mentions to the relation between the tangent and the normal of curves in given points as well as the use of the “chain rule” for the derivative of a composition of functions and to solve multiple problems involving rates of change. Additionally, we explore different examples of worked exam-style questions, where all steps are clear and detailed. Hopefully, this resource can help students in their preparation for examinations and can also be used as a complementary teaching tool, when delivering these topics.

** International A Level Pure Mathematics 4 Learning Objectives Resource** This resource consists of seven PDF files, each corresponding to a chapter in the International A Level Pure Mathematics 4 book. Tailored for both students and teachers, the tables within these files serve as an essential organizational tool. Aligned with the textbook’s chapters, they offer a clear overview of the** learning objectives**, facilitating effective tracking of classroom progress. A distinctive feature is the inclusion of a self-assessment column for each objective, encouraging students to evaluate their understanding. This not only fosters a sense of responsibility but also aids in identifying strengths and areas for improvement. Ideal for streamlined organization and student self-reflection, this resource enhances the learning experience for both educators and learners, promoting engagement and progress monitoring. L.O. tables : Proof Partial fractions coordinate geometry in the (x,y) plane Binomial expansion Differentiation Integration Vectors

A detailed mindmap to help any student studying for A Level mathematics. This mindmap covers all of the key facts needed for the pure papers of the exam (Year 1 & Year 2) and is specifically designed for the edexcel exam board but can be used for any A Level maths exam. This resource covers: The discriminant Trigonometric identities Vectors Differentiation Integration Logarithms The Binomial expansion Proof by contradiction Series Numerical methods Partial fractions Radians …and much more. Check out the rest of the series and other great resources in my 91���� Shop.