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GCSE (9–1)MathematicsGetting Started GuidePearson Edexcel Level 1/Level 2 GCSE (9–1) in Mathematics (1MA1)First teaching from September 2015First certification from June 2017Issue 2

Getting Started: GCSE (9–1)Mathematics 2015ContentsIntroductionTen things you need to know about the new GCSEThe new requirementsThe specification contentContent areasContent domainsChanges to contentThe assessmentAssessment structureAssessment ObjectivesMark schemesFormulae sheetUse of calculatorsGrading the new GCSE in 2017Grade descriptorsWhich tier of entry: Foundation or Higher?Teaching timeExamination entries: the rulesUseful linksGet in touchContact details12466671313141616171818202122232323

IntroductionIntroductionThis Getting Started guide provides an overview of the new GCSE (9–1)Mathematics specification. It will help you get to grips with the changes to contentand assessment, and to understand what these mean for you and your students.We are providing a package of support to help you plan and implement the newspecification. This includes the following. Planning: we are providing a range of tools and resources to help you planyour teaching of the new GCSE qualification. We will support you inunderstanding the content with content mappings, guidance and FAQs. We arealso dedicated to making the whole planning process easier, with ready-to-useschemes of work for delivering the GCSE in one, two or three years, and fullfive-year secondary schemes of work. We have even developed an Access toFoundation scheme of work to help low-attaining students make the transitionto GCSE. To help you plan your teaching based on the new assessmentrequirements, we have produced some real student exemplars on some of thenew style questions assessing reasoning and problem solving questions. Teaching: we are providing plenty of teaching resources to help you deliverthe new content with confidence. Our teaching support starts with ourcomprehensive teaching guidance, which provides information on eachspecification point including learning objectives and sample questions. This iscomplemented by classroom resources, developed by practising teachers, thatare aligned to our two- and three-year schemes of work, as well as a teachersupport pack for our Access to Foundation scheme of work. You can even gethold of an A2 Formulae Poster to display in your classroom, helping yourstudents memorise those formulae ahead of the exams. Assessing: we are providing plenty of tools to help you assess your studentsand track their progress throughout the course. To start you off, we havedesigned some baseline tests: end of Key Stage 3 tests to help you establishwhere your students are at the start of the GCSE course. We knowunderstanding the standard expected of students by the time they sit theexamination is important, so our newly approved SAMs (published in June2015) will show you what you can expect. Plenty of examination practice is alsokey, which is why we are providing two further sets of specimen papers, and forthe first three years of the specification we will release a secure set of mockpapers. Our end-of-term tests are aligned to the two- and three-year schemesof work; these come with mark schemes and analysis spreadsheets. We willalso have fully updated editions of ResultsPlus and examWizard, as well as thePearson Progression Scale: a new, coherent way of understanding andmeasuring progress for 11–16 year olds. Training: attend our free Getting Ready to Teach events (face-to-face andonline meetings, available right up to autumn 2015), or join one of ourcollaborative networks. Receive training on how to mark mock papers and ournew continued professional development courses.Not forgetting personal and ongoing support through Graham and theMathematics Emporium.These support documents will be available via the Teacher Support tab on theGCSE 2015 Mathematics pages at www.edexcel.com/gettingstartedgcsemaths, ordirectly at www.edexcel.com/gcsemathssupport and on the Mathematics Emporiumwebsite at www.edexcelmaths.comPearson Edexcel Level 1/Level 2 GCSE (9–1) in MathematicsGetting Started Guide Issue 2 Pearson Education Ltd 2015.1

Ten things you need to knowTen things you need to know about the new GCSE1. It’s biggerThe new GCSE is bigger in size than the current GCSE (carry on reading to seewhy) and therefore it may require more teaching time in the future. See page 20for more guidance on teaching time for the new GCSE.2. There’s more content at both tiersThere has been an increase in the breadth and depth of content to be covered atboth Foundation and Higher tiers. Some content that previously was assessed atHigher tier only will now be assessed at Foundation tier. More content has beenadded to the Higher tier to stretch and challenge the most able students and tohelp prepare them for A Level Mathematics. See pages 7-11 for more informationon the changes to content.3. There are new Assessment ObjectivesThe new Assessment Objectives place greater emphasis on mathematical problemsolving and mathematical reasoning and communication. These follow on from theteaching and learning aims of the Key Stage 3 and Key Stage 4 programmes ofstudy. See pages 13-14 for more information on the new Assessment Objectives.4. There are more formulae that students will need to memorise for theexaminationsThe number of formulae that students can be provided with in the examinationshas been reduced, so students will need to memorise some formulae, such as thequadratic formula. See page 15 for the list of formulae that can be provided tostudents in the examinations (as part of the relevant questions).5. There are more examination papers for students to takeMore assessment time is required to assess the larger body of content, thereforethe new GCSEs will see students take three examination papers at the end of thecourse. See page 12 for more information on the assessment structure of the newGCSE.6. There’s a new grading systemA new grading system has been introduced using numbers to represent gradesinstead of letters. The new grades are on a scale of 9–1, with 9 representing thehighest grade and 1 the lowest. See page 17 for more information on the gradingscale and how the grades relate to current GCSE grades.7. The structure of the papers has changedThe new structure of the papers will see fewer questions targeted at the lowestgrades and more questions targeted at the highest grades at both tiers. See page 4for the new requirements.8. The assessments will be more demandingThe new content added to both tiers, increased emphasis on mathematical problemsolving, reasoning and communication, as well as the increased assessment timeand change in the structure of the papers, all mean that GCSE Mathematicsexaminations will be more demanding in the future.2Pearson Edexcel Level 1/Level 2 GCSE (9–1) in MathematicsGetting Started Guide Issue 2 Pearson Education Ltd 2015.

Ten things you need to know9. There are more rules around examination entriesA number of rules have been introduced to limit inappropriate early entry, resitsand double entries. See page 21 for more information on the rules aroundexamination entries.10. There are a lot of things changing, but we want to ensure the thingsyou like stay the sameWe have spoken to thousands of teachers since the start of the reforms and, whilethere are a number of changes that are outside our control (see page 4 for the newrequirements), there are some things you have told us that you want to keep thesame.We will continue to ramp our papers in difficulty and will continue to place a greatdeal of importance on the language of our papers. This is not about reducing thenumber of words but ensuring the language used is simple and that the contextsused help candidates understand and access the mathematics being tested.There will also be more support available from us to help you teach the new GCSE,driven by all the feedback you have given us. In 2010, we supported schoolsthrough the changes. In 2015 we want to do that all over again.We hope you find this guide helpful, but remember it’s only a small part of how wewill be supporting you.Pearson Edexcel Level 1/Level 2 GCSE (9–1) in MathematicsGetting Started Guide Issue 2 Pearson Education Ltd 2015.3

The new requirementsThe new requirementsAll awarding organisations’ qualifications for GCSE (9–1) Mathematics must meetthe GCSE Subject Level Conditions and Requirements for Mathematics and theGCSE Subject Level Guidance. These can be found on Ofqual’s website and aresummarised for you below. Content, assessment objectives and formulae: all awarding organisations mustcomply with the requirements set out in the document published by the Secretary ofState entitled GCSE Mathematics: Subject Content and Assessment Objectives. Thisdocument defines the entire body of content for GCSE Mathematics, defines theAssessment Objectives and determines which formulae can be reproduced forcandidates in examinations. Content coverage and weightings: all awarding organisations must comply withthe following:o All three areas of content must be covered. See page 6 for moreooinformation on the content areas.The Foundation and Higher tier papers will assess all of the contentoutlined for each tier in as few successive assessment series as is possible,and in such a way that the content to be targeted in a given assessmentseries is not unduly predictable.The assessments for a GCSE qualification in mathematics should achievebalance in their coverage of the content domains (number, algebra, etc.)as set out by the weightings published by the Department for Education.An awarding organisation should apply these weightings, subject to a /–3 per cent tolerance for each domain area, across the assessments foreach tier in as few assessment series as is possible. See page 6 for thecontent domain weightings. Interpretation of Assessment Objectives: awarding organisations must complywith the guidance published by Ofqual which explains how they should interpret theAssessment Objectives in terms of the different strands and elements within eachAssessment Objective. See page 13 for the Assessment Objectives. Timing of assessments: all awarding organisations must only makeGCSE (9–1) Mathematics examinations available in May/June each year and inNovember only for students who have reached at least the age of 16 on or before 31August in the same calendar year as the assessment. Calculators: all awarding organisations must ensure that between 33 and 50 percent of the total marks available in assessments are allocated to questions or taskswhich must be completed by students without the use of a calculator. See page 16for rules regarding use of calculators. Total assessment time: the total amount of time spent by each student in takingassessments should be no less than four-and-a-half hours. Tiering requirements: all awarding organisations must comply with the following:ooo4The qualification must be tiered and use an overlapping tiers model, withtwo tiers – a Foundation tier and a Higher tier. Each learner is permitted totake assessments in either the Foundation tier or the Higher tier only.Foundation tier assessments must be targeted at the level of demandrequired for the award of GCSE grades 1–5. The questions or tasks inHigher tier assessments must be targeted at the level of demand requiredfor the award of grades 4–9 (with a grade 3 allowable).The marks available for each assessment within the Foundation tier mustbe targeted as follows:Pearson Edexcel Level 1/Level 2 GCSE (9–1) in MathematicsGetting Started Guide Issue 2 Pearson Education Ltd 2015.

The new requirements o50 of those marks must be targeted at a level of demand consistentwith grade 1 to the lower part/half of grade 3. 50% of marks must be targeted at a level of demand consistent withthe upper part/half of grade 3 to grade 5.The marks available for each assessment within the Higher tier aretargeted as follows: 50% of those marks must be targeted at a level of demandconsistent with grades 4 to 6. 50% of marks must be targeted at a level of demand consistent withgrades 7 to 9.Refer back to page 2 for more information on the structure of our papers.oGrades 4 and 5 are the only grades that are designed to be accessible bystudents who have taken either Foundation or Higher tiers. (Althoughstudents taking Higher tier assessments may be awarded a grade 3, asindicated above, this grade is not actively targeted in these assessments.)At least 20 per cent of the marks available in assessments for each tier aremade available through questions that are common to both tiers. Thesequestions must be targeted at a level of demand consistent with grades 4and 5. Therefore, assessments with common questions must be takensimultaneously by all relevant learners.Pearson Edexcel Level 1/Level 2 GCSE (9–1) in MathematicsGetting Started Guide Issue 2 Pearson Education Ltd 2015.5

The specification contentThe specification contentOur specification content for the new GCSE closely matches the content set out inthe document published by the Secretary of State entitled GCSE Mathematics:Subject Content and Assessment Objectives.Content areasThere are three areas of content to be covered within the specification.Area 1Content with regard to which it is intended that all students taking the qualificationshould be confident and competent by the end of their GCSE course. This content isshown in standard font in the specification and must be assessed in both Higherand Foundation tier assessments. [S]Area 2Content with which all students taking the qualification are intended to be at leastfamiliar by the end of their GCSE course. This content is underlined in thespecification and must be assessed in both Higher and Foundation tierassessments. Students taking Higher tier assessments should be expected to beconfident and competent with this content by the end of their GCSE course, andthose assessments must reflect that expectation. [U]Area 3Content with which only the most highly attaining students are expected to beconfident and competent by the end of their GCSE course. This content is shown inbold font in the specification and must be assessed in Higher tier assessmentsonly. [B]In summary, the Foundation tier will assess all of the content in areas 1and 2; the Higher tier will assess all of the content in areas 1, 2 and 3.Content domainsThere are six content domains covered within the specification. The table belowshows the content domains and their weighting across both tiers. The weightingsreflect the size and demand of the content domains and take into account theability range for each tier.DomainWeighting of marksFoundation tierHigher tierNumber25%15%Algebra20%30%Ratio, proportion and rates of change25%20%Geometry and measures15%20%15%15%ProbabilityStatistics6Pearson Edexcel Level 1/Level 2 GCSE (9–1) in MathematicsGetting Started Guide Issue 2 Pearson Education Ltd 2015.

The specification contentChanges to contentBelow are the main changes to the GCSE Mathematics specification content. There is a significant shift in content from the current (2010) Higher tier to the new(2015) Foundation tier, mainly in algebra, geometry and measures, as well as in ratioand proportion – see Table 1 for details. New content added to both tiers, mainly in ratio, proportion and rates of change –see Table 4 for details. New content added to the Higher tier, mainly in algebra – see Table 5 for details. A few topics omitted from both tiers, some of which are now part ofKey Stage 3 – see Table 6 for details.Table 1: Topics to be assessed at Foundation tier in 2015 that are Higher tier only in2010 (new to Foundation)2010Topics2015NotesNfIndex laws: zero and negative powersN7Fractional integers stillHigher onlyNgStandard formN9All Ng now also FoundationNm /NoCompound interest, depreciation,percentage profit and loss, reversepercentages; use compound interestR9 /R16Value of profit and lossalready FoundationNnDirect and indirect proportionR10All Nn now also FoundationNrMultiples of πN8Surds still Higher onlyAbIdentitiesA3Selecting identities from alistAcIndex laws: zero and negative powersA4Fractional integers stillHigher onlyAcExpand the product of two linearexpressionsA4AcFactorise quadratic expressions,including the difference of two squaresA4AcSimplify and manipulate algebraicexpressions including surdsA4AdSimultaneous equations (find exactsolutions, use elimination/substitution,interpret graphically, set up and solve)A19 /A21Linear/linear now alsoFoundation(linear/quadratic stillHigher only)AeSolve quadratic equations byfactorisationA18Completing the square stillHigher onlyAfChange the subject of the formulawhere the subject appears on bothsides, or with a power of the subjectA5AlFind and analyse gradients for graphs inthe form y mx cA10Pearson Edexcel Level 1/Level 2 GCSE (9–1) in MathematicsGetting Started Guide Issue 2 Pearson Education Ltd 2015.x2 bx c now alsoFoundation (ax2 bx cstill Higher only)7

The specification content2010Topics2015AlFind the equation of the line throughtwo given points or through one pointwith a given gradientA9AmInterpret and analyse straight-linegraphsA10AnGradients of parallel linesA9Perpendicular lines stillHigher onlyApPlot cubic and reciprocal graphs,recognise the shapes of quadratic andcubic graphsA12Exponential and trigfunctions still Higher onlyAtSelect mathematical techniques to drawquadraticsA12AuDirect and inverse proportionR10 /R13GMbUsing basic angle properties in morecomplex problemsG3GMfUnderstand and use congruence andsimilarityG5 /G6 /G19GMhUsing the trigonometric ratios in rightangled triangles to solve problems,angles of elevation and depressionG203D problems still HigheronlyGMlFractional scale enlargements intransformationsG7Negative scale factors stillHigher onlyGMwKnow that the perpendicular distancefrom a point to a line is the shortestdistance to the lineG2Expected knowledge atHigher in 2010GMxPerimeter, area and surface area ofcompound shapesG14 /G16 /G17Compound shapes madefrom triangles andrectangles alreadyFoundationGMzLengths of arcs and areas of sectors ofcircles, including answers in terms of πG18 /N8Semicircles and quartercircles already FoundationGMbbSolve mensuration problems involvingmore complex shapes and solidsG16 /G17 /G18Segments of circles,frustrums, surface areaand volume of spheres,pyramids, cones andcomposite solids, real-lifesolids, area of a segmentof a circleGMccVector notation, sum and difference ofvectors, scalar multiple and resultant ofvectorsG25Geometric proofs andvectors still Higher onlyGMsCompound measures: densityN16 /R1 /R11Speed already Foundation8NotesPearson Edexcel Level 1/Level 2 GCSE (9–1) in MathematicsGetting Started Guide Issue 2 Pearson Education Ltd 2015.

The specification content2010Topics2015NotesSPbSources of bias and samplingS1Understanding how sourcesof data may be biasedalready FoundationSPcDesign experimentS1SPjExplain an isolated point on a scattergraphS6SPkUsing other than lines of best fit topredict values, and appreciatingcorrelation as measure of the strengthof association between two variablesS4SPqSelection with or without replacementP8SPrTree diagramsP6 /P8Conditional probability stillHigher onlyTable 2: Concepts and skills to be assessed at Higher tier only in 2015 that are inboth tiers in 2010 (now Higher only)Concepts and skills (2010)NotesDistinguish properties that are preserved underparticular transformationsG8: describe the changes andinvariance achieved bycombinations of rotations,reflections and translationsRecognise that enlargements preserve angle but notlengthUnderstand that distances and angles are preservedunder rotations, reflections and translations, so thatany figure is congruent under any of thesetransformations (all GMl)Table 3: Content descriptors/concepts and skills included in 2010 that are implicit in2015 only (omitted but implicit con

Pearson Edexcel Level 1/Level 2 GCSE (9–1) in Mathematics (1MA1) First teaching from September 2015 First certification from June 2017 Issue 2 . Getting Started: GCSE (9–1) Mathematics 2015 Contents Introduction 1 Ten things you need to know about the new GCSE 2 The new requirements 4

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