# 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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#### Additional Bundle (Recent Bundle)

Use code R4HW5U91 to get £3 off this resource by visiting www.tes.com/redeemResources Created Recently. 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)
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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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#### AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

Get 3 Pounds credit use JNDD6P55 at TES.com/redeem while it lasts. 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.
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#### 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.
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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

#### 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!

#### 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

#### 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.

#### 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.

#### 9-1 Maths Questions Papers 1H/2H SET 2

Higher Tier / Set 2Papers 1H and 2H
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#### 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.
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#### Equations Bundle

All my equation based resources
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#### 👾ALGEBRA 👾 Best of MutantMaths 👾 Ultimate Bundle

20 of MutantMaths.com's best algebra resources.🌟😊🌟 . . . PLEASE RATE THIS BUNDLE . . . 🌟😊🌟

#### 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!

#### 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.

#### 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.
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#### 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.

#### 9-1 Higher Tier Maths Exam Questions

9-1 Higher Tier Maths Exam Questions
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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.

#### Factorising Quadratic 9-1 GCSE HIGHER

Differentiated worksheet with increasing difficulty. Students start at Question A , Record their answer on the sheet and work their way through to L.. Suitable for paired work or individually.Most suitable for all sets but particularly the top sets as it has cubic factorisation as well with (common x) and difference of two squares, snap bracket factorisation.Page 1 is the worksheetPage 2 is the solutions.Goes from level 5 till 8Some students should be able to to A-C, Middle of the group should be able to do A-F , and the top of group should be able to do all of them, A-L This can lead into sketching graphs, solving quadratic and cubic equations...great for 9-1 GCSE and for ADDITIONAL Maths work too...

#### A-level C1 Algebra Revision

Review prior learning and help plug gaps with factorising. Do students know difference of two squares, and all the other type of factorising...Page 1 . Start at Question A , record answer and continue onwards up to L. Can be paired work or individual ..Answers on Page 2.

#### 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.

#### Plotting Rational Functions

A large selection of presentations and activities that show the learners how to sketch rational functions. It includes intercepts, asymptotes and also looks at substituting small and large values of x so students can collect all the data needed to sketch the graphs.Also includes finding the min/max point on a graph without using calculusSMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.
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#### 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

#### 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.
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#### Solving equations and Inequalities

This bundle contains six lessons on topics from the simplest of equation solving to the more complicated quadratic inequalities

#### 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.

#### 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.