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

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

By LittleStreams

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Polynomial Equations – Circuit Training

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.

By NewMathWorld

Trigonometric identities and equations handout

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.

By beccatenney

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Additional Bundle (Recent Bundle)

Additional Bundle (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 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.

By Shamster

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C2 AS Level Maths Core 2 - Chapter 1 Factor and Remainder Theorem

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.

By Shamster

Differentiated (RAGE) - Simultaneous Equations II

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

By TheMathsProfessor

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AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

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.

By Shamster

A-Level (C4): Complete Course Notes for Students (116 pages)

A-Level (C4): Complete Course Notes for Students (116 pages)

This is a 116 page booklet with complete notes for C4. This is perfect to give out to all year 13 pupils as a way of organizing and structuring the course. This has helped improve our A-Level results by approximately 10%. This does also include examples and a few questions on each little bit for the pupils to practice. This was designed so that pupils are NOT spending hours copying down notes, but can annotate existing structured notes and spend longer practicing questions. This has worked really well alongside my excellent premium PowerPoint's and additional worksheets/ exam questions.NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks

By ajf43

A-Level (C3): Complete Course Notes for Pupils (146 pages)

A-Level (C3): Complete Course Notes for Pupils (146 pages)

This is a 146 page booklet with complete notes for C3. This is perfect to give out to all year 13 pupils as a way of organizing and structuring the course. This has helped improve our A-Level results by approximately 10%. This does also include examples and a few questions on each little bit for the pupils to practice. This was designed so that pupils are NOT spending hours copying down notes, but can annotate existing structured notes and spend longer practicing questions. This has worked really well alongside my excellent premium PowerPoint's and additional worksheets/ exam questions.NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks

By ajf43

A-Level (C1): Complete course notes for pupils (144 pages)

A-Level (C1): Complete course notes for pupils (144 pages)

This is a 144 page booklet with complete notes for C1. This is perfect to give out to all year 12 pupils as a way of organizing and structuring the course. This has helped improve our A-Level results by approximately 10%. This does also include examples and a few questions on each little bit for the pupils to practice. This was designed so that pupils are NOT spending hours copying down notes, but can annotate existing structured notes and spend longer practicing questions. This has worked really well alongside my excellent premium PowerPoint's and additional worksheets/ exam questions.NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

By ajf43

A-Level (C2): Complete Course Notes for pupils (133 pages)

A-Level (C2): Complete Course Notes for pupils (133 pages)

This is a 133 page booklet with complete notes for C2. This is perfect to give out to all year 12 pupils as a way of organizing and structuring the course. This has helped improve our A-Level results by approximately 10%. This does also include examples and a few questions on each little bit for the pupils to practice. This was designed so that pupils are NOT spending hours copying down notes, but can annotate existing structured notes and spend longer practicing questions. This has worked really well alongside my excellent premium PowerPoint's and additional worksheets/ exam questions.NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

By ajf43

Maths GCSE - working with surds - huge bundle of stuff

Maths GCSE - working with surds - huge bundle of stuff

Introduction to surds and irrational numbers, surds in calculations, surds in trigonometry, surds investigations, surds in brackets, surds and rationalising the denominator. Presentations and worksheets, enough for two, three, maybe more lessons. All clearly presented, and based on current GCSE questions.

By colinbillett

Partial Fractions

Partial Fractions

This 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!

By mathplane

Partial Fractions

Partial Fractions

This 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!

By mathplane

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 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 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

Maths Displays with Real Life Mathematics

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!

By andrewchambers

Mathematics Core 3 C3 and Core 4 C4 Lessons

Mathematics Core 3 C3 and Core 4 C4 Lessons

Mathematics Core 3 C3 and Core 4 C4 LessonsThis is a set of lessons for A2 Core Mathematics. The resources includes Powerpoints.Powerpoint include:Learning objectivesQuestions on the topicImportant information written in red boxes to scaffold learning.Topics:FunctionsTrigonometryExponentials and LogarithmsProduct RuleQuotient RuleDifferentiation and Integration of Trigonometry Roots to equations (staircase and cobweb diagrams)Integration using the chain ruleIntegration using the rule of LogarithmsIntegration by Substitution Integration by PartsMid ordinate rule and Simpsons RuleExpansion formulaAlgebraPartial FractionsApplications of Partial FractionsImplicit differentiation Tangents and normalsParametric Equation and Differentiation Exponential Growth and DecayDifferential EquationsVectorsI hope you enjoy these lessons, they can be used in the following ways:To deliver a course with reduced planning but not reducing quality of the lesson.As a basis for an observation lesson to save time preparing resources.To give to students for out of lesson learning.To support teachers who are new to this topic, again to reduce planning time.As a bases for your own lessons where you can include exam questions to each presentation.As an activity where the questions can be printed and cut out.

By n_s4

Maths GCSE manipulating surds - a clear presentation with lots of questions for the learners to do.

Maths GCSE manipulating surds - a clear presentation with lots of questions for the learners to do.

A recap of surds and simplifying expressions with surds, then a full presentation of multiplying brackets and surds, including the conjugate of a binomial.simplify and manipulate algebraic expressions (including those involving surds) by: collecting like terms multiplying a single term over a bracket taking out common factors expanding products of two binomials Lots of points to stop for the learner to try three of four examples, and each questions slide followed by the answers slide.Also suitable for A'level revision!

By colinbillett

Completing the Square (Tick or Trash)

Completing the Square (Tick or Trash)

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. Pupils are tasked with assessing answers given to questions requiring completing the square of quadratics (trinomials).Thank you for looking.Get in touch via @numberloving or numberloving@outlook.com

By NumberLoving

BUNDLE All things algebra

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.

By NumberLoving

Expanding Brackets

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.

By mathsmuscateer

A-Level C1: Chapter 1 (Algebra & Functions) - 7 Lessons + Resources

A-Level C1: Chapter 1 (Algebra & Functions) - 7 Lessons + Resources

This is 7 lessons worth of resources (more than you need) to teach all the basics that are covered in the first chapter for C1. This is not a chapter I ever rush, because it is the foundations for every other chapter, so it vital they are fully secure. 1. Expanding Quadratics2. Factorising Quadratics3. Algebraic Fractions4. Surds - simplifying5. Surds - multiplying6. Surds - rationalising7. Index notation / Indices NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thanks.

By ajf43

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

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.

By ajf43

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Dividing Polynomials – Circuit Training

Dividing Polynomials – Circuit Training

Dividing Polynomials – 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.My students love doing these activities.Thank you for checking my resources.

By NewMathWorld