# Advanced pure teaching resources: Algebraic manipulation

Resources and ideas for mathematics, advanced pure, algebraic manipulation, 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

#### 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.

#### 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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#### Additional Bundle (GCSE Revision Recent Bundle)

£20 pounds resources at a bargain price. The Great Bundle with Resources Created Recently. Great for whole lesson or quick fire revision. 1. Function Machine 2. 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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#### Algebra Bundle 20% off

A bundle of my algebra premium resources, Algebraic Fractions, Compositie Functions, Iterations, Equations of Linear Graphs,, Substitution, Roots and Turning Points.All fully differentiated and suitable for new curriculum with plenty of problem solving, reasoning ect. Soltions for all tasks included.
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#### Edexcel C1 mathematics Core 1 checklist revision

This is a detailed checklist with examples, for the edexcel c1 exam. Sorted by topic. 4pages.Checklists are great for the teacher and student as you can track what topics have been covered, what topics have been learnt and topics that need to be revisited.As a tutor, I normally get the student to fill out the checklist so I can see what they have done in class also. :)

#### Composite Functions

A series of lessons (2-3) on finding and solving equations of composite functions. It gives the pupils plenty of opportunity to become familiar with the notation of f(x) ect and using this to substitute numbers into an expression. It then gives pupils the chance to find fg(x) ect and then moves onto solving equations suh as fg(x) = gf(x). There are also problem solving tasks to develop pupils learning.All tasks are differentiated, 2-4 levels for each task to make it accessible to all pupils but also to stretch the more able. All tasks have full solutions to it is easy to peer and self assess during the lesson. The lesson includes reasoning and problem solving tasks which ensure that this is suitable for the 9-1 GCSE curriculum. I have used this lesson and pupils were engaged yet challenged.

#### Differentiated (RAGE) - Simultaneous Equations II

A Red Amber Green Extension differentiated activity on Simultaneous Equations.Students start on Red and work their way through. Answers are provided!To check the general quality of this work please check out similar resources on:http://www.themathsprofessor.com/rage---answers.html
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#### A level maths - 1st year

Selection of presentations that cover most of the 1st year pure maths in the A level maths course
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#### A level maths - 2nd year

Selection of presentations that cover most of the 2nd year pure maths in the A level maths course
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#### Further maths A level

Presentations that covers areas of the further maths A level units
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#### C2 AS Level Maths Core 2 - Chapter 1 Factor and Remainder Theorem

AS Level Mathematics (Pearson / Edexcel Exam Board)Chapter 1 Factor and Remainder Theorem Resources are written by an Outstanding Practitioner. - Factor Theorem - Remainder Theorem - Dividing Polynomials- Simplifying Expressions - Exam Questions and Answers There is 3 Lessons (150 Minutes worth of resources)- 2 Power points, full of questions and step by step answers. - Exam Questions with Answers. Kindly review once purchased.
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#### Miscellaneous Bundle 4

Aides for the SQA National 5 and Higher courses.
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#### AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

Core 1 - Edexcel / Pearson Exam Board Chapter 2 (Quadratics) - Drawing Quadratics. - Factorising and Solving Quadratics. - Completing the square and Solving Quadratics. - Using the formula and Solving Quadratics. - Sketching Quadratics and Using the Discriminants. - Exercises include Step by Step answers. Chapter 3 (Simultaneous Equations) - Solving by Elimination Method - Solving by Substitution - Solving by Substitution - Linear / Quadratic - 3 Exam Questions with Mark Scheme - Exercises include Step by Step answers. Core 2 - Edexcel / Pearson Exam Board Chapter 1 - Factor Theorem - Remainder Theorem - Dividing Polynomials - Simplifying Expressions - Exams Questions and Answers Chapter 2 - Sine Rule - Cosine Rule - Sine Rule Area - Worked through exam questions. - Exercises include Step by Step answers. Written by an Outstanding Practitioner. Kindly Review after purchasing.

#### Revision Ladders for GCSE/A Level - Quadratics, Completing the Square, Simultaneous, Functions

Four different revision ladders on significant GCSE and A Level topics. Each ladder has 8 questions starting from an easier question at the bottom and climbing up to more challenging questions. Students can choose where to start or try and climb as high as possible. Great for revision, homework, or as a plenary.
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#### GCSE Mathematics Revision Bundle

A collection of our resources that can be used for revision with classes, small groups or individually.Includes matching pairs memory games, worksheets, assessment ladders. Topics covered include quadratics, completing the square, sequences, rounding, surds, prime factors, simultaneous equations.

#### 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.

#### 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.

#### Matching Pairs - Completing the Square

Either introduce or revise completing the square with these matching pairs memory games. 3 different games on one PowerPoint. Includes simplest cases and also the case of the coeffecient of x squared not being 1. Can be used as a whole class starter or plenary, a revision activity, or with small groups.

#### 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.

#### Limits 1 – Circuit Training

Limits 1 – Circuit TrainingWork out the problem in the cell #1. To advance in the circuit, find your answer and mark that cell #2. Work out that problem and then find your answer again. Continue working in this manner until you complete the circuit.There are 24 problems in this product.All answers are included.My students love doing these activities.Thank you for checking my resources.

#### Maths Displays with Real Life Mathematics

Huge number of posters to help to produce some great maths displays - in particular focused on real life maths, maths in the news and careers using maths. I’ve also posted a lot of content on ibmathsresources - so if you like all this, check that out as well!
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#### BUNDLE All things algebra

This bundle includes 15 different algebra related resources which suit a range of abilities from simplifying expressions to solving linear and quadratic simultaneous equations. All resources are available separately and will be part of a bundle by activity type, return buyers should check carefully. Contact me if you would like to see resources bundled in a different way.

#### Polynomial Equations – Circuit Training

Polynomial Equations – Circuit TrainingWork out the problem in the cell #1. To advance in the circuit, find your answer and mark that cell #2. Work out that problem and then find your answer again. Continue working in this manner until you complete the circuit.There are 16 problems in this product.All answers are included.My students love doing these activities.Thank you for checking my resources.

#### Trigonometric identities and equations handout

a summary of all the trigonometric identities, equations and formulae needed for A-level maths, including integration and differentiation, laid out in a easy to read reference sheet. Also includes a display revision sheet on differentiating and integrating sin and cos.

#### Partial Fractions

This 14-page Algebra 2, Pre-Calculus lesson has a brief introduction, examples, and a short quiz (with solutions). Topics include steps for decomposing rational expressions, factoring, solving systems, and more. The product file contains detailed answers. Appreciate the support. Proceeds support TES and the mathplane sites. Thanks for visiting!
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#### 9-1 Maths Questions Various

Foundation Papers 1F, 2F Higher Papers 1H, 2H and 3H INDICES Worksheet Factorising Worksheet

#### 9-1 Maths Questions Higher Tier (New)

9-1 Indices - Fractional, Negative and Zero powers9-1 Factorising worksheet9-1 Exam Paper 1F Foundation9-1 Exam paper 1H Founadatiom

#### Algebra: Expanding & Factorising - Algebraic Fractions (+ worksheet)

This is a lesson on algebraic fractions and comes part of a series on expanding and factorising. It includes lots of great teaching examples, a starter, learning objectives, key words, a worksheet of exam questions with answers and plenary.Lesson 1 - Expanding 1 bracketLesson 2 - Expanding 2 brackets (quadratics)Lesson 3 - Expanding ProblemsLesson 4 - Factorising 1 bracketLesson 5 - Factorising 2 brackets (quadratics)Lesson 6 - Algebraic FractionsNOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

#### Expanding Brackets

This file has in total 347 algebraic expressions with brackets, which need to be expanded and simplified. The questions are organised by type and each of the seven pages have their own heading and as such can be used as an independent worksheet. All worksheets include answers.Because of the range of difficulty levels of the questions in this file, they can be used, selectively, in Key Stage 3, Key Stage 4 and even at the start of the AS-level course, making sure that all students have a sound understanding of how to expand brackets in more difficult expressions. It would also be a very useful resource on a school’s VLE where students can use it for independent study.