# Algebra teaching resources: Factorising

Resources and ideas for mathematics, algebra, factorising, written by teachers to support teaching and learning

#### 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

#### KS3/GCSE Maths Investigations

A set of investigations (complete with teacher notes and worksheets) where students are set a challenging problem and work to find the solution. Each investigation should take up a whole lesson. With this set of investigations, the emphasis is very much on problem-solving and independent work of children, though the amount of input of the teacher will inevitable depend on the pupils' abilities. The investigations are flexible and can be adapted to meet the pupils' needs.The first investigation focuses mainly on probability and gets pupils to find the total possible number of half-time scores if given the full-time score, eventually finding a formula connecting the two. The second connects geometry and algebra, getting pupils to generate a formula which links the total possible number of triangles with a given perimeter. The third investigation gets pupils to discover the origins of square numbers.

#### Football Scores Investigation (GCSE Probability)

This is an investigation (including teacher notes and worksheets) which is suitable for GCSE maths students, though higher ability KS3 students should be able to complete it.The problem students have to answer is 'Can you find a formula to find out the total possible number of half-time scores if you know the full-time score of a football match?' Probability is the main topic covered (listing outcomes, formula for total number of outcomes) as well as algebra topics such as expanding brackets, sequences, factorising and generalising formulae. Pupils can probably work on this independently with some teacher input in setting up the investigation and prompting pupils.

#### Treasure hunt Bundle 1

First batch of mathematical treasure hunt

#### Revision Mat - Algebra

This is collection of Revision Mats on Algebra.1. Expanding Brackets2. Factorising (Easy) Each topic comprise of 3 levels - bronze, silver and gold.Answers included in separate file.More topics will be added soon.

#### Factorising - Double Bracket

A series of lessons (2-3) on factorising quadratics into double brackets. There is a recap on factorising into single brackets and then a RAG task on factorising into double brackets in various forms. There is also a separate RAG task on the difference of two squares. All tasks lead into problem solving questions aswell as allowing all pupils simplify algebraic fractions by factorising.All tasks are differentiated to at least 3 levels. There are reasoning and problem solving tasks which are suitable for the new curriculum. All tasks have solutions so that it is easy for the pupils to mark their work. This has been used and allowed pupils to master the skill and for the more able to develop their understanding

#### Solve a Quadratic - Factorising

This lesson recaps basic factorising inc difference of two squares ect. There is then a RAG task on solving a quadratic by factorising and includes varying tasks such as rearranging ect to really get the pupils thinking. It also links in algebra with shape and have reasoning and problem solving questions which are suitable for the new curriculum.All tasks are differentiated to at least 3 levels. There are reasoning and problem solving tasks which are suitable for the new curriculum. All tasks have solutions so that it is easy for the pupils to mark their work. This has been used and allowed pupils to master the skill and for the more able to develop their understanding

#### Algebra Worksheets: Collecting terms, expand and factorise, substitution.

This pack is filled with worksheet activities covering combining like terms, expand and factorise expressions and substitution. All worksheets are differentiated to three levels, offering supported worksheets, as well as worksheets which challenge the most able students. Answer sheets are also included for all worksheets.Term Trees introduce students to like terms, the essential knowledge needed to successfully combine like terms. Combing Terms Pyramid then puts this knowledge into practice. Geometry in Algebra goes one step further, and applies combining terms knoeledge to geometry scenarios.The final combining like terms worksheet is a fun activity; a crossword. Students collect terms on a worksheet, and then put their answers in the crossword sheet. Each differentiated worksheet has the same questions, but to make things easier for some students, we have included some terms in spaces to give a clue. This is also great for self checking answers.The next two worksheets focus on expanding and factorising, and is a standard worksheet with questions on both expanding brackets and factorising terms with one set of brackets (linear equations). For the challenging questions, this includes simple quadratics with one bracket; ie x(x+2). The second of these worksheets is an unusual activity combining area of shapes as a form of setting up equations to then factorise.The final two worksheets looks at substitution. The first consists of a grid; the rows gives the value of x and y, and the columns give the expression to be substituted. The second is a collection of questions about substitution which includes an applied question to do with the temperature conversion equation and knowledge of commutative expressions.All the worksheets in this pack focus on the essential manipuation skills of algebra needed to work with algebra effectively.You may also like:Algebra Substitution BingoCombining Like Terms Follow Me CardsAlgebra Patterns and Sequences
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#### GCSE Maths Exam Style Paper - Factorising Quadratics

A mini-GCSE maths paper made up of questions on factorising quadratic equations. Perfect for revision or to target the specific area. Suitable for AQA / Edexcel / OCR students. Aimed at higher although suitable for foundation students. Answers will be uploaded shortlyRead more
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#### Maths GCSE Paper Compteting the Square & Factorising Quadratics

A mini-GCSE maths paper made up of questions on Compteting the Square &amp; Factorising Quadratics Suitable for AQA / Edexcel / OCR students. Aimed at higher tier.Answers will be uploaded shortly

#### Factorising dominoes

Domino cards for practicing factorising quadratics including difference of 2 squares.

#### Simplifying algebraic fractions

Card sort to practice simplifying algebraic fractions.
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#### Simultaneous Equations GCSE Revision or Whole Lesson

Written by an Outstanding practitioner from an Outstanding School. Comes complete with exercises and in depth answers. In depth solutions to questions ideal for whole lesson or revision. Slides can be printed as revision hand out. Great for whole lesson or quick fire revision. This resource contains:1) A 17 slide power point containing explanation, questions and in depth answers/solutions on:a) Solving Simultaneous Equations (Elimination Method).b) Solving Simultaneous Equations (Substitution Method).c) Solving Simultaneous Equations Linear and Quadratic (Substitution Method).2) 3 Exercises/questions on the below 3 points: The exercises are on the power point and on a word document for you to choose how to use them.a) Solving Simultaneous Equations (Elimination Method).b) Solving Simultaneous Equations (Substitution Method).c) Solving Simultaneous Equations Linear and Quadratic (Substitution Method).3) Full in depth answers to the above 3 exercises, this is fantastic tool for support and extension. The answers are on a word document, great for you and your students to check answers and use as a guide to support and differentiate.4) 3 Exam Questions with Mark Scheme.There is minimum 2 hours worth of lesson resources.Kindly review after purchasing. Thanks.Great for revision or whole lesson, lots of questions with answers.
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#### 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.

#### Simplifying Radicals Matching Card Set

18 pairs of matching cards to practice simplifying radicals in the classroom. One half the cards has a radical and the other half show the simplified answer. Great for centers or practice for students who need a little extra help. I use in pairs or small groups and have students work together to match up and discuss their approach to finding the solutions. Promotes discourse in the classroom as well as encourages problem solving from multiple perspectives.

#### Solving Algebraic Fractions - New Curriculum

A series of lessons (1-2) on solving equations involving Algebraic Fractions.The main task is differentiated 3 ways however there are many further opportunities to problem solve, reasoning tasks and also proof tasks.The has been used with KS4 and proved to be engaging and challenging in the run up to the exam.The lesson has been tailored to satisfy the needs of the new curriculum with a variation of tasks.All tasks have worked solutions.

A series of lessons looking at factorising quadratics. This resource includes examples showing how to factorise by partitioning for dealing with tricky quadratics with a leading coefficient not equal to 1.

#### SET 3 of 'GET20' Mathematics GCSE revision / Teaching Method and Resources (New Edexcel Style)

This is Set 3 of the 'GET20' resource pack. This set closely follows the first set of Edexcel secure mock papers (again, repetition works!.) Make sure you have set 1 first so you have the student score tracker to use.

#### 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.

#### Quadratics Test or Test Review Version 1

I use these guided notes in conjunction with the Mathematics Vision Project Secondary Math 2 curriculum, Structures of Expressions (Module 2). Topics this covers are: vertex, standard and factored form of quadratics, factoring quadratics, completing the square to solve quadratics, finding the vertex, x and y-intercepts, the axis of symmetry of a parabola. I use this as a test review and then I use the document entitled Module 2 Test as the actual test. I give this to the students in my class to work in small groups to come up with the answers then I bring the whole class together and we work out the problems together to ensure they understand the concepts.Solution key included. 4 pages total.

#### Quadratic, Exponential and Linear Expressions Sort Activity

I break my students into pairs, have them cut out the squares and sort the expressions based on the headings Linear, Exponential and Quadratic. Then I tell them to sort their Quadratics based upon Factored Form, Standard Form or Vertex Form. After they do this, I check their answers (there are a couple of linear expressions that look like factored quadratics that 90% of my students miss) and then I have them glue their categories to a piece of colored paper. I choose the best looking ones and hang them on a bulletin board in my classroom.

#### Bigger Picture Bundle

Introducing what pupils should know and what pupils are going to learn. Use as a pre assessment and post assessment task at foundation tier level. Individual task but pupils love the challenge.

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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.

#### GCSE Maths Revision 9-1 Fluency, Reasoning and Problem Solving HEXAGONS (Aiming for grade 5)

5 x Revision HEXAGONS ALL ANSWERS PROVIDED The topics Number, Algebra, Sequences, Data, Shape and Ratio &amp; Proportion are split up into fluency, reasoning and problem solving tasks. Ideal for a weekly starter of part of a revision lesson. Something a little different to help pupil engagement

#### New GCSE Maths 9-1 Revision Pack With Solutions- Target Grade 5 "one-page wonder"

New for 2017! A pack of 5 Revision sheets/tests for the new GCSE 9-1.Each one contains 30 different questions based on the specifications for the new GCSE, all fitted onto one double sided A4 sheet. Great for keeping photocopying down whilst practicing loads of exam style questions!Topics covered include those new to the Foundation curriculum plus some included in the Higher curriculum, and are aimed at students targeting grade 5. Hence this pack is suitable for top end Foundation students and also for great for grade 5 and general revision for Higher students. Solutions are also included. There is a record sheet (which can be used as a revision list) for each pupil to record their score after each attempt and try to beat it the next time! Each worksheet has similar questions &amp; key skills but with new examples each time in order for students to build confidence, fluency, and consolidate their learning. Answers for all questions are provided, ideal for revision. (PDF files)

#### Algebraic fractions treasure hunt

Simplify algebraic fractions with quadraticstreasure hunt activitychallenging activityplease comment and advise how you would like it improvingthanks

#### A level maths - 1st year

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