Your Guide To Pearson Edexcel International Advanced Level (IAL .

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Your guide to Pearson EdexcelInternational Advanced Level (IAL)MathematicsFirst teachingSeptember 2018

WelcomePearson Edexcel International Advanced Level (IAL) qualifications have been designed withthe global learner in mind. They differ from A levels in that they have a flexible, modularstructure, but maintain the rigorous standards of all Pearson Edexcel qualifications and arecomparable to the UK A level, as confirmed by NARIC*.Developed in consultation with the international school community, including a largenumber of teachers and university lecturers, these globally recognised qualifications opendoors to universities worldwide, giving students the necessary skills to support progressionto higher and further study.Available in 21 popular subjects and designed to be engaging for international learners,they offer progression from International GCSEs to equip students with the knowledge andskills they need for a successful future. In 2018 we launched 8 updated subjects – Biology,Chemistry, Physics, Business, Economics, Mathematics, Further Mathematics and PureMathematics and also a brand new Information Technology qualification, which our schoolsstarted teaching in September 2018.IAL qualifications are not available in the UK, the Channel Islands, the Isle of Man or in BritishArmed Forces schools overseas.For further information, updates and support, visit qualifications.pearson.com/IALIt’s been my dream toattend a world-renowneduniversity. Pearson EdexcelIALs have given me a solidacademic foundation forfurther studies.Fei Xue, studying Computer Science,University College London*UK NARIC is the designated United Kingdom National Agency for therecognition and comparison of international qualifications and skills.It performs this official function on behalf of the UK Government.2Illustration by Lauren Rolwing

Why choose Pearson Edexcel IALs?100% externally assessed Learners can resit individual unit examinations. Flexible and modularstructure IAS results contributeto IAL gradeThe flexible modular approach takes a synopticapproach to assessment, which means learnersare examined on their learning from each unit andare also able to demonstrate their knowledge andunderstanding across the whole subject.International AS qualifications can be takenseparately as a stand alone qualification, orused as a stage on the way to completing anInternational Advanced Level qualification. Thisprovides international schools and learners withgreater choice and flexibility to meet their needsand aspirations.Unlike a linear structure, where assessment is takenat the end of a two year course, the results fromeach module provide formal feedback throughoutthe course. This means learners can quickly graspthe standard required to reach the level they areaiming for. This understanding motivates students toimprove, and builds a sense of ownership throughbite-size, short-term goals. Multiple examinationopportunitiesExaminations are available for many subjects inJanuary, June and October, with all subjects offeringat least two assessment opportunities as standard*.As exams are spread throughout the course, thereare less high stakes assessments, enabling learners tofocus their revision appropriately. Learners can resitindividual unit examinations. Accessible examinationpapersAt Pearson Edexcel, we develop our examinationpapers over a two-year period. The papers gothrough a rigorous world class assessment designprocess, which ensures that the content is relevantfor international learners, and there is a clear andconsistent relationship between command words,marks and skills. With logical progression of difficultythroughout and consistency in template and design,our question papers are clear and provide suitablechallenge and support for students of all abilityranges. Recognised by universitiesworldwideFully comparable to UK reformed GCE A levels, asconfirmed by NARIC, Pearson Edexcel IALs providelearners with access to the world’s top universitiesand prestigious employment opportunities. Theyare recognised by leading universities across theworld, including Oxford, Cambridge, Columbia,Yale, MIT, Caltech, Hong Kong / China Universityof Science and Technology and the NationalUniversity of Singapore. Internationally relevantcontentPearson Edexcel IAL qualifications andaccompanying published resources containinternational content where possible, suchas topic themes, examples, case studies andphotos, making content more relevant andengaging for all learners. Language is alsoreviewed by a specialist to ensure materials arewritten with EAL learners in mind, in a clear andaccessible style.*With the exception of IAL Information Technology which offersJune examination only.3

Pearson Edexcel IAL in Mathematics 100% externally assessed Exams in January, June and OctoberWe have listened to feedback from all parts of the international school community, includinga large number of teachers and universities, to ensure we develop our Mathematicsqualifications to be engaging for international learners and to give them the necessary skills tosupport progression to higher education or further study in Mathematics.With three different awards available, Mathematics, Further Mathematics and PureMathematics, the qualification is designed to be studied over two years, with the option of aone-year AS level course. Results of the IAS qualification can contribute to the overall IAL grade.Key qualification featuresl nitised structure with 14 equally weighted units. Each examination timedUat 1h 30m and has 75 marks available.l lexibility to combine units across Pure Mathematics, Further PureFMathematics, Mechanics, Statistics and Decision Mathematics. There are 5routes to combine units to achieve an International A Level Mathematicsqualification, with additional routes for Further or Pure Mathematics.l hree exam series per year means students can sit unit exams when theyTare ready.lI AS results will continue to contribute to IAL.l urriculum-matched textbooks and teacher supports have been developedCto support teaching and learning.INTERNATIONAL ADVANCED LEVELEDEXCEL INTERNATIONAL GCSEMATHEMATICS/MATHEMATICS/MATHS A (9-1) FURTHERECONOMICSPURE MATHEMATICSSPECIFICATIONEdexcel International GCSE in Economics (9-1) (4ET0)SPECIFICATIONFirst examination JuneFor further information and to download the specification,visit qualifications.pearson.com/ialmaths20184Pearson Edexcel International Advanced Subsidiary in Mathematics (XMA01)Pearson Edexcel International Advanced Subsidiary in Further Mathematics (XFM01)Pearson Edexcel International Advanced Subsidiary in Pure Mathematics (XPM01)Pearson Edexcel International Advanced Level in Mathematics (YMA01)Pearson Edexcel International Advanced Level in Further Mathematics (YFM01)Pearson Edexcel International Advanced Level in Pure Mathematics (YPM01)First teaching September 2018First examination from January 2019First certification from August 2019 (International Advanced Subsidiary) and August 2020(International Advanced Level)Issue 2

Helping students make the best progressthey canContaining up to date and engaging content, the Pearson Edexcel International AdvancedLevel in Mathematics encourages students to take responsibility for their own learning andmathematical development.Aims of the qualification – to enable students to develop:lt heir understanding of mathematics and mathematical processes in a waythat promotes confidence and fosters enjoymentlt he ability to reason logically and recognise incorrect reasoning, togeneralise and to construct mathematical proofslt heir range of mathematical skills and techniques and use them in moredifficult, unstructured problemsl n understanding of coherence and progression in mathematics and of howadifferent areas of mathematics can be connectedls kills to recognise how a situation may be represented mathematically andunderstand the relationship between ‘real-world’ problems and standardand other mathematical models and how these can be refined andimproved.Students will use their knowledge and skills to:l se mathematics as an effective means of communicationulr ead and comprehend mathematical arguments and articles concerningapplications of mathematicsl cquire the skills needed to use technology such as calculators andacomputers effectively, recognise when such use may be inappropriate andbe aware of limitationsl evelop an awareness of the relevance of mathematics to other fields ofdstudy, to the world of work and to society in generallt ake increasing responsibility for their own learning and the evaluation oftheir own mathematical development.5

Your guide to assessment changes andtimelinesThe Core Mathematics units have been renamed Pure Mathematics and split as follows:l CoreMaths 12 content has been restructured into two units: Pure Maths 1 and PureMaths 2 (Calculator permitted)l CoreMaths 34 content has been restructured into two units: Pure Maths 3 and PureMaths 4 (Calculator permitted)Decision Mathematics has been updated.These five units have new unit codes as detailed here.Cash-in codes remain the un2020Oct2020Jan2021LEGACY 2013 SPECIFICATIONCore MathsASWMA013333 Core MathsA2WMA023333 Mechanics 1ASWME01333333Mechanics 2A2WME02333333Mechanics 3A2WME033 33 3Statistics 1ASWST01333333Statistics 2A2WST02333333Statistics 3A2WST033 3 3Further PureMaths 1ASWFM013 33 3Further PureMaths 2A2WFM023 3 3Further PureMaths 3A2WFM033 3 3Decision Maths 1ASWDM013 33 MATHEMATICS 2018 SPECIFICATIONPure Maths 1ASWMA11333333Pure Maths 2ASWMA12333333Pure Maths 3A2WMA13 3333Pure Maths 4A2WMA14 333Decision Maths 1ASWDM113 33 36

Developing transferable skills valuedby universities and employersIn recent years, universities and employers have highlighted the need for students andgraduates to develop a range of transferable skills, often referred to as ‘soft skills’, to enablethem to better meet the demands of undergraduate study and the world of work.In fact, universities and employers consider transferable skills to be the largest skills gapoverall.1 in 654%1 in 387%employers havedifficulty findingcandidates withthe skills theyrequire1of companiessay that skillsshortages impacttheir abilityto serve theircustomers2skills in ajob posting is a“soft skill”1of universityprofessors do notthink studentshave the researchskills needed fordegree-levelstudy3Pearson Edexcel International Advanced Levels (IALs) equip students with these embeddedtransferable skills sought after by universities and employers. They develop corecompetencies, such as problem-solving, critical thinking and verbal reasoning. Transferableskills are signposted in our IAL qualifications and published teaching and learning resourceso students know the skills they are developing throughout their studies.Prepare your learners for more than just a gradeWe’ve provided skills mapping and transferable skills subject definitions documentsfor your subject area, so you can easily identify what skills can be developed in your dayto day teaching. Find out more online by visiting your subject page and searching underthe Teaching and Learning materials tab qualifications.pearson.com/IALEmployability - Personal & Social Capability Framework report from Pearson, 2016.Employability report from PSB for Pearson, 2016.3 Bridging the Gap: Understanding the Differing Research Expectations of First-Year Students and Professors, Meg Raven, Mount Saint Vincent University, 2016.127

Supporting you at every stageWe provide an unparalleled level of support services, tools, resources and trainingalongside qualifications, making teachers and students lives easier at every stage.Your free subject supportSubject AdvisorsProviding fast, reliable, expert help on a specific subject area of your choice. We aim to answer allemailed questions within 48 hours and resolve 90% of issues phoned in on the first call.Contact arson International Schools CommunityConnect with other educators around the world, share ideas and resources and stay up todate with the latest subject developments by joining our international schools community atcommunity.pearsoninternationalschools.comAt a glance: support for you at every stageFREE resources and supportPlanning andteachingExam preparationand assessmentResultssupportGetting started guide3Training events (face-to-face, online &downloadable content)3Subject advisor support333Community forums333Schemes of work3Sample assessment materials33Examiner reports3Exemplar marked responses3Past papers3examWizard3Mark schemes3ResultsPlus mock exam analysis3ResultsPlus3FREE access to Scripts service (ATS)33Additional paid for resourcesPrinted Student Books and digitalActiveBooks33Online Teacher Resource Packs3383

Offering more advanced support servicesand toolsOur technology capability also allows us to provide the following unique services and tools toteachers and students:ResultsPlus provides detailed information onexam performance and a platform to view andcompare student results – as individuals or asgroups – across the world. It helps with planningimprovements in teaching and learning. ResultsPlusDirect is a free online service that gives studentsa detailed breakdown and comparison of theirperformance in Pearson Edexcel exams, globally,to help them identify areas of improvement.examWizard is our free exam preparationtool containing a bank of past Pearson Edexcelexam questions, mark schemes and examiners’reports for a range of subjects. It saves you timeby enabling you to create your own mock exams,topic tests, homework or revision activities inminutes and links directly to associated examinerreports and mark schemes!FREE access to Scripts Service (ATS) is anonline service which allows access to viewelectronically marked exam papers, free of charge,providing enhanced transparency and support forteachers to evaluate a student’s performance onparticular questions in relation to what they havebeen taught.Awarding reliability. We use ePEN, our unique,image-based marking system ensuring real timemonitoring, quality control and reporting to ensurethe highest quality marking and provision of datafor tools such as ResultsPlus. Pearson Edexcel exammarking processes have been proven to producethe most reliable results. This demonstrates that ourqualifications maintain the highest standards andcan be relied upon to deliver to expectation.Because of ResultsPlus, students canlearn about their mistakes and rectify.Kanagambigai, Chief Counsellor, Chemistry Lecturer, A levels Department,HELP Academy, Malaysia commenting on the ResultsPlus mocks service.9

Published resourcesPEARSON EDEXCEL INTERNATIONAL A LEVELMECHANICS 2STUDENT BOOKPearson Edexcel International A Level Mechanics 2 Student Book provides comprehensive coverage of the Mechanics 2unit. This book is designed to provide students with the best preparation possible for the examination: Content is fully mapped to the specification to provide comprehensive coverage and easy referenceEngaging and relevant international content in a real-world contextExam-style questions at the end of each chapter, and an exam practice paper at the end of the book, provide practicefor exam writing techniqueSignposted transferable skills prepare for further education and employmentReviewed by a language specialist to ensure the book is written in a clear and accessible styleGlossary of key Mathematics terminology, and full answers, included at the back of the bookInteractive practice activities also includedAn Online Teacher Resource Pack (9781292244785) provides further planning, teaching and assessment support.This Student Book supports the following qualifications:Pearson Edexcel International Advanced Subsidiary in Mathematics (XMA01)Pearson Edexcel International Advanced Subsidiary in Further Mathematics (XFM01)Pearson Edexcel International Advanced Level in Mathematics (YMA01)Pearson Edexcel International Advanced Level in Further Mathematics (YFM01)For first teaching September 2018IAL MECHANICS 1Student BookISBN: 9781292244679Student BooksllllIAL MECHANICS 3PEARSON EDEXCEL INTERNATIONAL A LEVEL MECHANICS 2 STUDENT BOOKThese are brand new resources to support theupdated Pearson Edexcel International AdvancedLevel (IAL) qualifications in Mathematics, FurtherMathematics and Pure Mathematics, for firstteaching from September 2018.MATHEMATICSeBookincludedPEARSON EDEXCEL INTERNATIONAL A LEVELMECHANICS 2STUDENT BOOKStudent BookISBN: 9781292244815www.pearsonglobalschools.com 14 books – one for each unit of the Pearson EdexcelInternational A Level 2018 specification.IAL MathsMechanics2 Cover.indd 1-3 Each Student Book includes 3-year access to an onlineActiveBook. Packed with hints and worked examples to helppreparation for examinations. Lots of practice of exam-style questions and each bookcontains a complete practice exam paper.Online Teacher Resource Packsl 14 Online Teacher Resource Packs available – toaccompany each Student Book.Available as an annual subscription.ll Range of planning, teaching and assessment resources,helping to save you time.CHAPTER 9CONSTANT ACCELERATION379.3 Constant acceleration formulae 1A standard set of letters is used for the motion of an object moving in a straight line with constantacceleration. s is the displacement.uav u is the initial ty a ert seconds v is the final velocity. a is the acceleration.sInitial position t is the time.Position a er t secondsYou can use these letters to label a velocity–time graph representing the motion of a particle movingin a straight line accelerating from velocity u at time 0 to velocity v at time t.Velocityvv–uv uGradient of line tv ua tRearranging v u at v u at1u v s ( )t22u1O2HintFormula 1 does not involve s andformula 2 does not involve a.You need to know how to derive these formulaefrom the velocity–time graph.Exampletu vShaded area ( )t2u vs ( )t2TimeLinksThese formulae can also be derivedusing calculus. Chapter 114A cyclist is travelling along a straight road. She accelerates at a constant rate from a velocity of4 m s21 to a velocity of 7.5 m s21 in 40 seconds. Find:Exam hints draw learners’ attention to potentialpitfalls in the exam and give practical hints aboutpreparing for the exams, answering questions inthe correct format, and checking work.a the distance she travels in these 40 secondsb her acceleration in these 40 seconds.4 m s–17.5 m s–1su 4, v 7.5, t 40, s ?, a ?Start by drawing a diagram.Model the cyclist as a particle.Write down the values you know and the valuesyou need to find.Sample page from Pearson Edexcel International A Level Mechanics 1 Student Book10Worked examples show how to work throughquestions, and how to lay out calculations.27/09/2018 13:25

PURE MATHEMATICSDECISION MATHEMATICSPearson Edexcel International A Level MathematicsPure 1 Student Book978 1 292244 79 2Pearson Edexcel International A Level MathematicsDecision 1 Student Book978 1 292244 56 3Pearson Edexcel International A Level MathematicsPure 1 Teacher Resource Pack978 1 292244 83 9Pearson Edexcel International A Level MathematicsDecision 1 Teacher Resource Pack978 1 292244 57 0Pearson Edexcel International A Level MathematicsPure 2 Student Book978 1 292244 85 3Pearson Edexcel International A Level MathematicsPure 2 Teacher Resource Pack978 1 292244 90 7Pearson Edexcel International A Level MathematicsPure 3 Student Book978 1 292244 92 1Pearson Edexcel International A Level MathematicsPure 3 Teacher Resource Pack978 1 292244 93 8Pearson Edexcel International A Level MathematicsPure 4 Student Book978 1 292245 12 6Pearson Edexcel International A Level MathematicsPure 4 Teacher Resource Pack978 1 292245 13 3FURTHER PURE MATHEMATICSPearson Edexcel International A Level Mathematics FurtherPure 1 Student Book978 1 292244 64 8Pearson Edexcel International A Level Mathematics FurtherPure 1 Teacher Resource Pack978 1 292244 58 7Pearson Edexcel International A Level Mathematics FurtherPure 2 Student Book978 1 292244 65 5Pearson Edexcel International A Level Mathematics FurtherPure 2 Teacher Resource Pack978 1 292244 62 4Pearson Edexcel International A Level Mathematics FurtherPure 3 Student Book978 1 292244 66 2Pearson Edexcel International A Level Mathematics FurtherPure 3 Teacher Resource Pack978 1 292244 63 1Each chapter is mapped to the specificationcontent for easy reference.MECHANICSPearson Edexcel International A Level MathematicsMechanics 1 Student Book978 1 292244 67 9Pearson Edexcel International A Level MathematicsMechanics 1 Teacher Resource Pack978 1 292244 68 6Pearson Edexcel International A Level MathematicsMechanics 2 Student Book978 1 292244 76 1Pearson Edexcel International A Level MathematicsMechanics 2 Teacher Resource Pack978 1 292244 78 5Pearson Edexcel International A Level MathematicsMechanics 3 Student Book978 1 292244 81 5Pearson Edexcel International A Level MathematicsMechanics 3 Teacher Resource Pack978 1 292244 82 2STATISTICSPearson Edexcel International A Level MathematicsStatistics 1 Student Book978 1 292245 14 0Pearson Edexcel International A Level MathematicsStatistics 1 Teacher Resource Pack978 1 292245 15 7Pearson Edexcel International A Level MathematicsStatistics 2 Student Book978 1 292245 17 1Pearson Edexcel International A Level MathematicsStatistics 2 Teacher Resource Pack978 1 292245 16 4Pearson Edexcel International A Level MathematicsStatistics 3 Student Book978 1 292245 18 8Pearson Edexcel International A Level MathematicsStatistics 3 Teacher Resource Pack978 1 292245 19 5ALGEBRAIC EXPRESSIONSCHAPTER 111 ALGEBRAICEXPRESSIONS1.11.21.10Learning objectivesAfter completing this chapter you should be able to:Learning Objectives at the beginning of eachchapter highlight what students need to knowand understand. Multiply and divide integer powers pages 2–4 Expand a single term over brackets and collectlike terms pages 2–4 Expand the product of two or three expressions pages 4–6 Factorise linear, quadratic and simple cubic expressions Know and use the laws of indices pages 6–9 pages 9–11 Simplify and use the rules of surds pages 12–13 Rationalise denominators pages 13–15Prior knowledge check1Simplify:a 4m2n 5mn2 – 2m2n mn2 – 3mn2b 3x2 – 5x 2 3x2 – 7x – 12Prior knowledge checks ensure students havethe foundations to learn. Learning Objectivesat the beginning of each chapter highlight whatstudents need to know and understand. International GCSE Mathematics2Write as a single power of 2:a 25 23b 26 22c (23)23 International GCSE MathematicsExpand:a 3(x 4)b 5(2 – 3x)c 6(2x – 5y)4 International GCSE MathematicsWrite down the highest common factor of:a 24 and 16b 6x and 8x2c 4xy2 and 3xy5 International GCSE MathematicsSimplify:10xa520xb240xc24 International GCSE MathematicsThe real world application of the mathsstudents are about to learn are highlighted at thestart of each chapter.Computer scientists use indicesto describe very large numbers.A quantum computer with 1000qubits (quantum bits) can consider21000 values simultaneously. This isgreater than the number of particlesin the observable universe.Sample page from Pearson Edexcel InternationalAS/A Level Pure Mathematics 1 Student Book11

I like the modular nature of IAL, the fact that I can choosewhichever core units I want to do, whichever applied units Iwant to do. It’s very comprehensive. It opens up many doorsto many international universities.Wang, Pearson Edexcel International Advanced Level student from Sri Lanka, studying Chemistry, Biology,Physics, and Mathematics.About Pearson EdexcelAt the core of everything we do at Pearson is the desire to make a measurable impact onimproving people’s lives through learning. From primary school to secondary school, throughto professional certification; our qualifications help educate millions of people worldwide.Foundations for successPearson Edexcel International Advanced Level (IAL) is part of the iProgress family for ages5 to 19, which also includes iPrimary, iLowerSecondary and International GCSE (IG). We offermore than just a qualification, with professional development training that keeps teachersup-to-date with the latest educational practices, support materials that make planning andteaching lessons easier, and student textbooks and online resources, so you’ll have more timeto focus on the development of your students’ progress.Progress to universityDeveloped by education specialists specifically for international learners, Pearson EdexcelIAL qualifications are recognised by leading universities across the world, including Oxford,Cambridge, Columbia, Yale, MIT, Caltech, Hong Kong / China University of Science andTechnology and the National University of Singapore.Find out moreTo find out more about our Pearson Edexcel InternationalA Level qualifications and to sign up to our monthly newsletter,visit our website, qualifications.pearson.com/IAL

Pearson Edexcel International Advanced Level (IAL) qualifications have been designed with the global learner in mind. They differ from A levels in that they have a flexible, modular . Containing up to date and engaging content, the Pearson Edexcel International Advanced Level in Mathematics encourages students to take responsibility for their .

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Pearson Edexcel GCE in Core Mathematics C2 (6664/01) Edexcel and BTEC Qualifications Edexcel and BTEC qualifications are awarded by Pearson, the UK’s largest awarding body. We provide a wide range of qualifications including academic, vocational, occupational and specific programmes for employers. For further information visit our qualifications websites at www.edexcel.com or www.btec.co.uk .