# Mathematics teaching resources: Advanced pure

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

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#### New 9-1 GCSE Maths Grade 8/9 target - Algebra

What’s in this pack?This pack contains 48 exam style question cards covering the new curriculum for the top grades of the new gcse in algebra. The design of a card means you can use these in a variety of ways in your classroom; as a starter or a plenary, as extension work, as homework or as a revision tool. An answer key is included.The questions feature some challenging topics including rearranging fractional equations, expanding more than one brackets, manipulating and solving algebraic fractions with both addition and division, algebraic proofs that include some well known theories, as well as some rewriting of equation questions, factorising, completing the square and solving of quadratic equations and inequalities where the coefficient of x^2 is greater than one, as well as where the question is set up through scenarios, finding the nth term of quadratic sequences and working with the Fibonacci sequence, working with quadratic simultaneous equations, composite and inverse functions, and a variety of graph transformation questions. Topics are as follows:-Rearranging Equations-Binomials-Algebraic Fractions-Algebraic Proof -Quadratics Sequences-Quadratic Inequalities -Simultaneous Equations -Functions -Transformations

#### C3 and C4 student notes (condensed versions)

C3 and C4 student notes (condensed versions)With site license, this can be distributed freely - electronically or in print to students.

#### IB Maths Studies SL - Complete Notes

About 30 pages of neatly handwritten notes for the course for Maths Studies, as well as a revision checklist. You can download Topic 1 on its own for free if you want to take a look.

#### IB Maths SL - Complete Notes

Complete neatly handwritten notes for the whole course of IB Mathematics SL, as well as a revision checklist. The first topic alone is free, if you would like to see what it's like.

#### IB Maths Studies SL - Topic 6 - Mathematical Models (Functions) - Notes

Handwritten notes I made for my IB students:- Basics of linear functions- Quadratics- Exponentials- Higher powers- Intersections

#### IB Maths Studies SL - Topic 7 - Calculus - Notes

Handwritten notes I made for my IB students:- Basic power rule of differentiation- Finding gradients- Increasing/decreasing functions- Stationary points- Optimisation

#### IB Maths SL - Topic 2 Functions - Notes

Handwritten notes I made for my IB students:2.1 - Concepts2.2 - Graph Features2.3 - Transformations2.4 - Quadratics2.5 - Rationals2.6 - Exponential/Log Graphs

#### IB Maths SL - Topic 3 Trigonometry - Notes

Handwritten notes on topic 3 that I did for my IB students:3.1 - Arc/Sector3.2 - Unit Circle3.3 - Identities3.4 - Graphs3.5 - Solving Trig Equations3.6 - Sine/Cosine Rule

#### IB Maths SL - Topic 4 Vectors - Notes

Handwritten notes on topic 4 that I did for my IB students:4.1 - Vector Basics4.2 - Scalar Product, angle, parallel/perp.4.3 - Vector Equations4.4 - Intersection Points

#### IB Maths SL - Topic 6 Calculus - Notes

Handwritten notes on topic 6 that I did for my IB students:- Fundamentals- Basic differentiation rules- Chain/product/quotient rules- Finding gradients- Finding tangent/normal eq.- Finding turning points/inflection points- Kinematics- Basic integration rules- Integration by substitution- Area under curve- Volume within rotated curve

#### 1-9 GCSE EXAM PAPER ON COMPOSITE AND INVERSE FUNCTIONS

A GCSE paper made up of differentiated questions on composite and inverse functions. This is a 1 hour activity.Step-by-step worked solutions are provided. The questions get harder as you go along.
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#### Shape and Space TOOL Bundle

SPECIAL PRICE ONLY TODAY!! This contains 4 resources, the resources are mainly some of best animated graphics you would have seen for these topics. The animations allow you to take control and ensure students understand. Example the Pythagoras tool has a 3D Pythagoras animation which shows where the right angle triangle is located using colour. These at the moment are at a special discounted price, they will not remain at this price for very long. 1. Pythagoras Great Animation TOOL to assist you teaching Pythagoras. 2. Plans and Elevation Animation TOOL to assist you teaching Plans and Elevation. 3. Surface Area Animation Tool to assist you teaching Surface Area. 4. Reading the Clock Digital and Analogue TOOL.
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#### Additional Bundle (GCSE Revision Recent Bundle)

FREE RESOURCE FOR EVERYONE! Choose a resource for £3 or less and enter the code MARVELLOUS-MAY at checkout.£20 pounds resources at a bargain price. The Great Bundle with Resources Created Recently. Great for whole lesson or quick fire revision.1. Function Machine2. Simultaneous Equations (Elimination/Substitution) (Exercises come with step by step answers)3. Quadratic Equations (Factorising/Complete the square / formula) (Exercises come with step by step answers)4. Direct Proportions 5. Factor Theorem Dividing Polynomials for Year 12 AS Maths 6. Sine / Cosine Rule (Advanced Trig) (Exercises come with step by step answers)Great for Revision or Whole Lesson.
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#### Pythagoras GCSE Revision

Need something extra to teach Pythagoras?Find it difficult to teach 3D Pythagoras?Need that extra Visual resource?Look no further! This resource contains:1. One animation explaining Pythagoras, shows how the squares are formed. Nice Linking resource. 2. Two demonstration tools, to demonstrate how to work out missing length, very visual and useful, allows students to discover/explore on their own. 3. One animation explaining distance between two points. 4. One animation explaining 3D Pythagoras. 5. One demonstration, very visual and useful to explain 3D Pythagoras. SIX Very powerful tools all under one resource to demonstrate and make students understand Pythagoras, the understanding is the key especially for the new curriculum.

#### AQA Level 2 further maths revision booklet

I have included an overview of the specification, colour coded, to show which topics are also included in the GCSE and which are further maths only.I have then included a breakdown of each further maths only topic, including a brief overview, a worked exam style question and then an exam question for the students to attempt.Feel free to message me if you would like the answers.
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#### Ti nspire -- IBDP Math HL Integration Questions (Rate of Change, Area under the Curve)

Ti nspire based IBDP Math HL Integration Questions (Rate of Change, Area under the Curve)

#### Unit of work for two terms

There are starter quizzes, presentations, worksheets, PDF's and class actives and game shows.

#### Complex Numbers Notes and Activities

Save with this set of 3 resources for using complex numbers including operations and graphing complex numbers.
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#### Sine Cosine Rule GCSE Revision

Sine and Cosine Rule (Advanced Trigonometry)Great for whole lesson or quick fire revision as questions contain in depth answers. Slides can be printed and given as revision hand out as it is very detailed. Resources are written by an Outstanding Practitioner. - Sine Rule for Length and Angle- Cosine Rule for Length and Angle- Sine Rule for Area- Worked through Exam Questions and Answers. - Exercises on Sine Rule, Cosine Rule and Sine Rule for Area.- Each Exercise comes with Step by Step answer. (This is Fantastic). - There is Challenging / Problem Solving Questions in the exercises each with Step by Step Answer. There is 2 Lessons (100 Minutes worth of resources)- 1 Power points, full of questions and step by step answers. - Exercise A to G. - Step by Step by Answers for Exercise A to G. Kindly review once purchased.
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#### Algebra: Sequences Bundle (6 Lessons - perfect for GCSE / IGCSE)

All lessons come with a starter, learning objectives, key words, plenty of teaching slides/examples, questions or worksheets with answers and plenary. This is part of a bigger bundle on sequences / series, that can be purchased with additional A-Level lessons. The bundle contains the following: 1. Introduction to Linear Sequences 2. Linear Sequences in Diagrams 3. Quadratic Sequences 4. Other Sequences and Problems 5. Fibonacci Sequence, Golden Ratio and Spiral (one of the reasons I become passionate about mathematics!!) 6. Arithmetic Sequences or Series NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

#### A Level Maths: C2 Complete Revision Notes

This includes all the topics for C2:AlgebraBinomial ExpansionExponentials and LogarithmsSequences and Series TrigonometryThey have all the information you need to know with great examples!

#### A level Maths: C2 revision notes - Exponentials and Logarithms

Detailed notes with everything you need to know for logs and exponentials, including examples.

#### A Level Maths: C2 Revision Notes - Trigonometry

These are detailed notes, that include all the Trigonometry you need to know for C2 with proofs and examples.

#### A Level Maths: C2 Revision Notes - Sequences and Series

Detailed notes, including all you need to know on Sequences and Series including examples.

#### A Level Maths: C2 Revision Notes - Integration

Detailed notes on Integration, including all the information you need to know and trapezium rule. Very good examples too.

#### Factorising (4)

This worksheets is the last and most difficult one of this series of factorising worksheets and has been written with the reformed GCSE Mathematics (9-1) Higher Tier examination in mind. It has 36 algebraic expressions, which need to be factorised. The questions are not organised by type and therefore students are expected to identify how to factorise the expressions using an appropriate method. They also need to be aware that some expressions can be factorised several times and it therefore trains students to double-check if their answer has been fully factorised. The worksheet includes answers.The worksheet is targeted at GCSE students (grades 7 - 9) and AS-level students. It should take students, depending on their ability level and understanding of the topic, between one and two hours to complete all questions.
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#### Powerpoint timers FREE with code MARVELLOUS-MAY at checkout

Enter code MARVELLOUS-MAY at checkout to get this resource for free. until midnight on 31st May 2017. Large bundle large reduction

#### The Ultimate P4C Resource Pack [Philosophy for Children]

This is the ultimate Philosophy for Children (P4C) Pack: perfect for any teacher wishing to bring philosophy and critical thinking into their classroom. It contains 20 resources and includes: -An 8-Lesson P4C Course -Debate generating software -Philosophy Boxes Discussion Sessions -A P4C Display Pack -A host of other tools and templates Teaching philosophy is my passion and this resource has been made by me over years of spreading the joy of philosophy to young minds. I hope you will help me bring philosophy into the lives of children around the world by using this resource . This product is suitable for any teacher (around the world) to bring P4C into their classroom. It provides enough resources for whole-school initiatives and may be of interest to those in leadership positions, or coordinating P4C/PSHE/SMSC/Ethics provisions. Its uses include: -Introducing philosophy and P4C -Boosting critical-thinking skills -Enhancing metacognitive ability -Practicing conversation and debate skills Feel free to email me with any questions :) Adam, godwin86@gmail.com ---------------------- "Put your heart, mind, and soul into even your smallest acts. This is the secret of success." - Swami Sivananda

#### Algebra: Binomial Expansion (C2) + resources

This is a lesson is on teaching the binomial expansion. It comes with an excellent investigation to begin with (and interesting starter) to allow pupils to self discover Pascal's triangle. This leads into some excellent teaching slides to help pupils really understand the process of expansion. It also comes with some excellent examples, a worksheet of old exam questions with answers and plenary. This is a thorough PowerPoint of 24 slides and this is probably enough material for a double lesson, which is normally the length of time that I need to teach this topic. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.