INTERNATIONAL ADVANCED LEVEL - MPPE

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INTERNATIONALADVANCED LEVELMathematics,Further Mathematics andPure MathematicsSPECIFICATIONPearson Edexcel International Advanced Subsidiary in Mathematics (XMA01)Pearson Edexcel International Advanced Level in Mathematics (YMA01)Pearson Edexcel International Advanced Subsidiary in Further Mathematics (XFM01)Pearson Edexcel International Advanced Level in Further Mathematics (YFM01)Pearson Edexcel International Advanced Subsidiary in Pure Mathematics (XPM01)Pearson Edexcel International Advanced Level in Pure Mathematics (YPM01)For first teaching in September 2013First examination January 2014

INTERNATIONALADVANCED LEVELMathematics,Further Mathematicsand Pure MathematicsSPECIFICATIONPearson Edexcel International Advanced Subsididary in Mathematics (XMA01)Pearson Edexcel International Advanced Level in Mathematics (YMA01)Pearson Edexcel International Advanced Subsididary in Further Mathematics (XFM01)Pearson Edexcel International Advanced Level in Further Mathematics (YFM01)Pearson Edexcel International Advanced Subsididary in Pure Mathematics (XPM01)Pearson Edexcel International Advanced Level in Pure Mathematics (YPM01)For first teaching in September 2013First examination January 2014

AcknowledgementsThis specification has been produced by Pearson on the basis of consultation withteachers, examiners, consultants and other interested parties. Pearson would liketo thank all those who contributed their time and expertise to the specification’sdevelopment.References to third-party material made in this specification are made in good faith.Pearson does not endorse, approve or accept responsibility for the content of materials,which may be subject to change, or any opinions expressed therein. Material may includetextbooks, journals, magazines and other publications and websites.ISBN: 9781446908341All the material in this publication is copyright Pearson Education Limited 2013

About this specificationPearson Edexcel International Advanced Level in Mathematics is designed for use in schools and colleges outside theUnited Kingdom. It is part of a suite of International Advanced Level qualifications offered by Pearson.This qualification has been approved by Pearson Education Limited as meeting the criteria for Pearson’s SelfRegulated Framework.Pearson’s Self Regulated Framework is designed for qualifications that have been customised to meet the needsof a particular range of learners and stakeholders. These qualifications are not accredited or regulated by any UKregulatory body.The Pearson Edexcel International Advanced Level in Mathematics has: 12 units tested fully by written examination a variety of units allowing many different combinations resulting in flexible delivery options pathways leading to full International Advanced Subsidiary and International Advanced Level in Mathematics,Further Mathematics and Pure Mathematics an updated Further Pure Mathematics 1 unit with extra depth added to some topics for teaching in the first yearof study units Further Pure Mathematics 2 and Further Pure Mathematics 3 to allow a coherent curriculum in furthermathematics bigger blocks of learning for the combined Core Mathematics units, providing more synoptic assessment.Specification updatesThis specification is Issue 1 and is valid for the Pearson Edexcel International Advanced Subsidiary and InternationalAdvanced Level examination from 2014. If there are any significant changes to the specification Pearson will write tocentres to let them know. Changes will also be posted on our website.For more information please visit www.edexcel.com/ialUsing this specificationThis specification has been designed to give guidance to teachers and encourage effective delivery of thequalification. The following information will help you get the most out of the content and guidance.Examples: throughout the unit content, we have included examples of what could be covered or what mightsupport teaching and learning. It is important to note that examples are for illustrative purposes only and centres canuse other examples. We have included examples that are easily understood and recognised by international centres.Unit assessments use a range of material and are not limited to the examples given. Teachers should deliver thequalification using a good range of examples to support the assessment of the unit content.Depth and breadth of content: teachers should prepare students to respond to assessment questions. Teachersshould use the full range of content and all the assessment objectives given in Section B: Specification overview.Qualification abbreviationsInternational Advanced Level – IALInternational Advanced Subsidiary – IASInternational Advanced Level 2 (the additional content required for an IAL) – IA2Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 20131

ContentsA Specification at a glanceBSummary of unit content4Specification overview7Summary of assessment requirements7Assessment objectives and weightings8Relationship of assessment objectives to units9Qualification summaryC10Aims10IAS/IA2 knowledge and understanding and skills10Mathematics, Further Mathematics and Pure Mathematicsunit content11Course structure11IAS/IAL combinations2412Unit C12 Core Mathematics 1215Unit C34 Core Mathematics 3425Unit F1 Further Pure Mathematics 133Unit F2 Further Pure Mathematics 239Unit F3 Further Pure Mathematics 343Unit M1 Mechanics 149Unit M2 Mechanics 255Unit M3 Mechanics 359Unit S1 Statistics 163Unit S2 Statistics 269Unit S3 Statistics 373Unit D1 Decision Mathematics 177Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 2013

ContentsD Assessment and additional informationAssessment informationEF8383Assessment requirements83Entering candidates for the examinations for this qualification83Resitting of units83Awarding and reporting83Grade descriptions84Unit results84Qualification results85Language of assessment85Additional information86Malpractice86Access arrangements and special requirements86Equality Act 201086Prior learning and progression86Combinations of entry86Conditions of dependency87Student recruitment87Support, training and tions, Sample Assessment Materials and Teacher Support Materials90Appendices91Appendix 1 Grade descriptions93Appendix 2 Codes97Appendix 3 Notation99Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 20133

A Specification at a glanceSummary of unit contentCore MathematicsUnitSummary of unit contentC12Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series;exponentials and logarithms; trigonometry; differentiation; integration.C34Algebra and functions; sequences and series; trigonometry; exponentials and logarithms;coordinate geometry in the (x, y) plane; differentiation; integration; numerical methods;vectors.Further Pure MathematicsUnitSummary of unit contentF1Complex numbers; roots of quadratic equations; numerical solution of equations;coordinate systems; matrix algebra; transformations using matrices; series; proof.F2Inequalities; series; further complex numbers; first order differential equations; secondorder differential equations; Maclaurin and Taylor series; Polar coordinates.F3Hyperbolic functions; further coordinate systems; differentiation; integration; vectors;further matrix algebra.MechanicsUnitSummary of unit contentM1Mathematical models in mechanics; vectors in mechanics; kinematics of a particlemoving in a straight line; dynamics of a particle moving in a straight line or plane; staticsof a particle; moments.M2Kinematics of a particle moving in a straight line or plane; centres of mass; work andenergy; collisions; statics of rigid bodies.M3Further kinematics; elastic strings and springs; further dynamics; motion in a circle;statics of rigid bodies.4Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 2013

Specification at a glance AStatisticsUnitSummary of unit contentS1Mathematical models in probability and statistics; representation and summary of data;probability; correlation and regression; discrete random variables; discrete distributions;the Normal distribution.S2The Binomial and Poisson distributions; continuous random variables; continuousdistributions; samples; hypothesis tests.S3Combinations of random variables; sampling; estimation, confidence intervals and tests;goodness of fit and contingency tables; regression and correlation.Decision MathematicsUnitSummary of unit contentD1Algorithms; algorithms on graphs; the route inspection problem; critical path analysis;linear programming; matchings.Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 20135

A Specification at a glance6Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 2013

B Specification overviewSummary of assessment requirementsUnitnumberUnit titleUnit code*LevelMethod ofassessmentAvailabilityFirst assessmentIASweightingIAL weightingC12CoreMathematics 12WMA01IAS1 writtenpaperJanuaryand JuneJanuary 201466.6% ofIAS33.3% ofIALC34CoreMathematics 34WMA02IA21 writtenpaperJanuaryand JuneJanuary 2014Notavailablefor IASaward33.3% ofIALF1Further PureMathematics 1WFM01IAS1 writtenpaperJanuaryand JuneJanuary 201433.3% ofIAS16.7% ofIALF2Further PureMathematics 2WFM02IA21 writtenpaperJuneJune 201433.3% ofIAS16.7% ofIALF3Further PureMathematics 3WFM03IA21 writtenpaperJuneJune 201433.3% ofIAS16.7% ofIALM1Mechanics 1WME01IAS1 writtenpaperJanuaryand JuneJanuary 201433.3% ofIAS16.7% ofIALM2Mechanics 2WME02IA21 writtenpaperJanuaryand JuneJanuary 201433.3% ofIAS16.7% ofIALM3Mechanics 3WME03IA21 writtenpaperJanuaryand JuneJanuary 201433.3% ofIAS16.7% ofIALS1Statistics 1WST01IAS1 writtenpaperJanuaryand JuneJanuary 201433.3% ofIAS16.7% ofIALS2Statistics 2WST02IA21 writtenpaperJanuaryand JuneJanuary 201433.3% ofIAS16.7% ofIALS3Statistics 3WST03IA21 writtenpaperJuneJune 201433.3% ofIAS16.7% ofIALD1DecisionMathematics 1WDM01IAS1 writtenpaperJanuaryand JuneJanuary 201433.3% ofIAS116.7% ofIAL*See Appendix 2 for description of this code and all other codes relevant to this qualification.Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 20137

B Specification overviewAssessment objectives and weightingsMinumumweightingin IASMinumumweightingin IA2Minumumweightingin IALAO1Recall, select and use their knowledge of mathematical facts,concepts and techniques in a variety of contexts.30%30%30%AO2Construct rigorous mathematical arguments and proofs throughuse of precise statements, logical deduction and inference andby the manipulation of mathematical expressions, including theconstruction of extended arguments for handling substantialproblems presented in unstructured form.30%30%30%AO3Recall, select and use their knowledge of standard mathematicalmodels to represent situations in the real world; recognise andunderstand given representations involving standard models;present and interpret results from such models in terms of theoriginal situation, including discussion of the assumptions made andrefinement of such models.10%10%10%AO4Comprehend translations of common realistic contexts intomathematics; use the results of calculations to make predictions,or comment on the context; and, where appropriate, read criticallyand comprehend longer mathematical arguments or examples ofapplications.5%5%5%AO5Use contemporary calculator technology and other permittedresources (such as formulae booklets or statistical tables) accuratelyand efficiently; understand when not to use such technology, and itslimitations. Give answers to appropriate accuracy.5%5%5%8Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 2013

Specification overview BRelationship of assessment objectives to unitsAll figures in the following table are expressed as marks out of 125.Unit numberAssessment objectiveAO1AO2AO3AO4AO5Unit C1246–5442–508–218–175–13Unit C3442–5042–508–178–178–17All figures in the following table are expressed as marks out of 75.Unit numberAssessment objectiveAO1AO2AO3AO4AO5Unit F125–3025–300–55–105–10Unit F225–3025–300–57–125–10Unit F325–3025–300–57–125–10Unit M120–2520–2515–206–114–9Unit M220–2520–2510–157–125–10Unit M320–2525–3010–155–105–10Unit S120–2520–2515–205–105–10Unit S225–3020–2510–155–105–10Unit S325–3020–2510–155–105–10Unit D120–2520–2515–205–105–10Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 20139

B Specification overviewQualification summaryAimsThe 12 units have been designed for schools and colleges to produce courseswhich will encourage students to: developtheir understanding of mathematics and mathematical processes in away that promotes confidence and fosters enjoyment developabilities to reason logically and recognise incorrect reasoning, togeneralise and to construct mathematical proofs extendtheir range of mathematical skills and techniques and use them inmore difficult, unstructured problems developan understanding of coherence and progression in mathematics andof how different areas of mathematics can be connected recognisehow a situation may be represented mathematically and understandthe relationship between ‘real-world’ problems and standard and othermathematical models and how these can be refined and improved usemathematics as an effective means of communication readand comprehend mathematical arguments and articles concerningapplications of mathematics acquirethe skills needed to use technology such as calculators and computerseffectively, recognise when such use may be inappropriate and be aware oflimitations developan awareness of the relevance of mathematics to other fields of study,to the world of work and to society in general takeincreasing responsibility for their own learning and the evaluation of theirown mathematical development.IAS/IA2 knowledge and understanding and skillsThe knowledge, understanding and skills required for all Mathematicsspecifications are contained in the subject core. The units C12 and C34 comprisethis core material.10Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 2013

C Mathematics, Further Mathematics andPure Mathematics unit contentCourse structureStudents study a variety of units, following pathways to their desired qualification.Students may study units leading to the following awards: InternationalAdvanced Subsidiary in Mathematics InternationalAdvanced Subsidiary in Further Mathematics InternationalAdvanced Subsidiary in Pure Mathematics InternationalAdvanced Level in Mathematics InternationalAdvanced Level in Further Mathematics InternationalAdvanced Level in Pure Mathematics.Summary of awards:International Advanced SubsidiaryAwardCompulsory unitsOptional unitsInternational Advanced Subsidiary inMathematicsC12M1, S1, D1International Advanced Subsidiary inFurther MathematicsF1Any*International Advanced Subsidiary inPure MathematicsC12, F1*For International Advanced Subsidiary in Further Mathematics, excluded unitsare C12, C34.International Advanced LevelAwardCompulsory unitsOptional unitsInternational Advanced Level inMathematicsC12, C34M1 and S1 orM1 and D1 orM1 and M2 orS1 and D1 orS1 and S2International Advanced Level inFurther MathematicsF1 and either F2 or F3Any*International Advanced Level inPure MathematicsC12, C34, F1F2 or F3*For International Advanced Level in Further Mathematics, excluded units areC12, C34.Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 201311

CMathematics, Further Mathematics and Pure Mathematics unit contentIAS/IAL combinationsPearson Edexcel International Advanced Level in Mathematics ThePearson Edexcel International Advanced Level in Mathematics comprisesfour units. TheInternational Advanced Subsidiary is the first half of the IAL course andcomprises two units; Core Mathematics unit C12 plus one of the Applicationsunits M1, S1 or D1. Thefull International Advanced Level award comprises four units; CoreMathematics units C12 and C34 plus two Applications units from the followingfive combinations: M1 and S1; M1 and D1; M1 and M2; S1 and D1; S1 and S2. Thestructure of this qualification allows teachers to construct a course of studywhich can be taught and assessed either as:uu distinctmodules of teaching and learning with related units of assessmenttaken at appropriate stages during the course; oruu alinear course which is assessed in its entirety at the end.Pearson Edexcel International Advanced Level in Further Mathematics ThePearson Edexcel International Advanced Level in Further Mathematicscomprises six units. TheInternational Advanced Subsidiary is the first half of the IAL course andcomprises three units; Further Pure Mathematics unit F1 plus two other units(excluding C12, C34). Thefull International Advanced Level award comprises six units; Further PureMathematics units F1, F2, F3 and a further three Applications units (excludingC12, C34) to make a total of six units; or F1, either F2 or F3 and a further fourApplications units (excluding C12, C34) to make a total of six units. Studentswho are awarded certificates in both International Advanced Level Mathematicsand International Advanced Level Further Mathematics must use unit resultsfrom 10 different teaching modules. Thestructure of this qualification allows teachers to construct a course of studywhich can be taught and assessed either as:uu distinctmodules of teaching and learning with related units of assessmenttaken at appropriate stages during the course; oruu a12linear course which is assessed in its entirety at the end.Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 2013

Mathematics, Further Mathematics and Pure Mathematics unit contentCPearson Edexcel International Advanced Level in Pure Mathematics ThePearson Edexcel International Advanced Level in Pure Mathematicscomprises four units. TheInternational Advanced Subsidiary is the first half of the IAL course andcomprises two units; Core Mathematics unit C12 and F1. Thefull International Advanced Level award comprises four units; C12, C34, F1and either F2 or F3. Thestructure of this qualification allows teachers to construct a course of studywhich can be taught and assessed either as:uu distinctmodules of teaching and learning with related units of assessmenttaken at appropriate stages during the course; oruu alinear course which is assessed in its entirety at the end.Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics andPure Mathematics – Issue 1 – June 2013 Pearson Education Limited 201313

CMathematics, Further Mathematics and Pure Mathematics unit content14Specification – Pearson Edexcel International Advanced Level in Mathematics, Further Mathematics

Pearson Edexcel International Advanced Level in Mathematics is designed for use in schools and colleges outside the United Kingdom. It is part of a suite of International Advanced Level qualifi cations off ered by Pearson.

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