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GCSE ‘Linked Pair Pilot’ Mathematics

GCSE ‘Linked Pair Pilot’ Mathematics. March 2010. Introduction. This session will cover: Background The structure of the new qualifications New content New assessments Assessment objectives SAMs and Learning Resources

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GCSE ‘Linked Pair Pilot’ Mathematics

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  1. GCSE ‘Linked Pair Pilot’Mathematics March 2010

  2. Introduction This session will cover: • Background • The structure of the new qualifications • New content • New assessments • Assessment objectives • SAMs and Learning Resources This session is only aimed at centres who have been approved onto the pilot. If you are unsure of your status, email gcsemathspilot@edexcel.com

  3. The Linked Pair Pilot - Background • GCSE in Applications of Mathematics & GCSE in Methods in Mathematics • Two separate qualifications that together cover the programme of study • Both qualifications are tiered with two units, both externally-assessed in November and June series • Learners must be entered for both qualifications • Pilot initially accredited until Summer 2013

  4. Background (contd.) • Expected that QCDA / Ofqual will extend accreditation in-line with mainstream GCSE (final assessments Summer 2015) • Following evaluation, the pilot will inform the new mainstream mathematics GCSE in 2015 • For more information on the background of the pilot, visit the QCDA website

  5. GCSE in Methods in Mathematics - Structure ‘Approaches the subject in a purely mathematical manner’Two equally weighted units:Methods 1: Number, Algebra, Geometry, Probability Methods 2: Number, Algebra, GeometryThe content of Unit 2 builds on the content of Unit 1Each paper assesses all Assessment ObjectivesTraditional question and answer booklet, scanned and marked by examiner online

  6. GCSE in Applications in Mathematics ‘The applications of mathematics in real-life, everyday contexts, and an introduction into financial and business applications’Two equally weighted units:Apps 1: Number, Financial and Business applications, Algebra, Geometry, Measures, StatisticsApps 2: Number, Algebra, Geometry, Measures, ProbabilityEach paper assesses all Assessment ObjectivesFunctional elements make up 20-30% of Higher Tier papers and 30-40% of Foundation PapersTraditional question and answer booklet, scanned and marked by examiner online

  7. Teaching Time for Linked Pair Pilot • There is no set recommended teaching time for the pilot • QCDA’s evaluation will investigate how and over what length of time the pilot is taught • It is suggested that schools may need extra teaching time to cover the additional content in the pilot • We will share common teaching practice where possible and encourage centres to share their plans with each other

  8. Contribution to performance points • The contribution and points should be the same for Applications and Methods as for a mainstream GCSE • Both GCSEs count as the maths indicator for school A*-C tables • Only learners entered for both GCSEs will be able to count points from either qualification • Applications will discount against the 2010 mainstream GCSE, so schools cannot count both qualifications in their performance tables (note: QCDA recommend that centres do not make learners take the pilot and the mainstream due to possible over-assessment)

  9. Content

  10. Content across the two specifications • Common content across Methods and Applications • Content from the PoS unique to one qualification only • Content new to the PoS unique to one qualification only e.g. • Statistics in Applications only • Measures in Applications only • Functional Elements in Applications only • Non-calculator unit in Methods only

  11. Common content across Applications and Methods: Unit 1 Number - Four operations - Index Laws - Fractions - Rounding - Factors and multiples - STANDARD FORM - Indices Algebra - Manipulating expressions - Equations - Coordinates - Linear Graphs Geometry - Angles - Quadrilaterals - Transformations - Symmetry - Area and perimeter - Congruence - Circles

  12. Common content across Methods and Applications Unit 2 Number - Reciprocals - DIRECT AND INVERSE PROPORTION - Ratio and proportion - Using calculators Algebra - Formulae - Inequalities - GRAPHS OF DIRECT AND INDIRECT PROPORTION Geometry - Angles and lines - Pythagoras - TRIGONOMETRY - Circle mensuration - Surface area and volume

  13. PoS Content in Methods only - Unit 1 Number - Prime factorisation - SURDS Algebra - Notation - Sequences - QUADRATIC EXPRESSSIONS AND EQUATIONS - PARALLEL AND PERPENDICULAR LINES AND EQUATIONS Geometry - CIRCLE THEOREMS - VECTORS Probability - Probability measures - Mutually exclusive outcomes - Relative probability - TREE DIAGRAMS - MUTUALLY EXCLUSIVE AND INDEPENDENT EVENTS

  14. PoS Content in Methods only (Unit 2) Number - Percentages AND REPEATED PROPORTIONAL CHANGE - RECURRING DECIMAL PROOF - EXACT ANSWERS - COMPOUND INTEREST Algebra - SIMULTANEOUS EQUATIONS - EQUATION OF A CIRCLE - QUADRATIC EQUATIONS - TRANSFORMATIONS OF FUNCTIONS - GRAPHS OF FUNCTIONS - GRAPHS OF LOCI Geometry - Polygons - Tessellations - SINE AND COSINE RULE

  15. New Content in Methods only – non PoS Number (Unit 1) - Venn Diagrams - SET NOTATION Probability (Unit 1) - Set notation and Venn diagrams Geometry (Unit 2) - MIDPOINT AND INTERCEPT THEOREM

  16. PoS Content in Applications only - Unit 1 Number - REPEATED PROPORTIONAL CHANGE - Percentages - Calculator use - COMPOUND INTEREST Algebra - SIMULTANEOUS EQUATIONS - Using Gradients Geometry - Transformations

  17. PoS content in Applications only - Unit 1 (contd.) Measure - Scales and measurements - Converting units - Estimating measures Statistics - The handling data cycle - Interpreting and analysing data - Collecting data AND SAMPLING - CUMULATIVE FREQUENCY - Representing data - HISTOGRAMS AND BOXPLOTS - QUARTILES AND INTERQUARTILE RANGE

  18. PoS Content in Applications only - Unit 2 Number - LOWER AND UPPER BOUNDS Algebra - GRADIENTS - Trial and improvement - Real-life graphs Geometry - Constructions - Loci - Representations of 3D shapes

  19. PoS Content in Applications only Unit 2 (contd.) Measure - Scale drawings - Bearings - Converting units - Compound measures Probability - As Unit 1 Methods

  20. New Content in Applications only – non PoS Number - EXPONENTIAL GROWTH AND DECAY (Unit 2) Algebra - LINEAR PROGRAMMING (Unit 1) - RATES OF CHANGE (Unit 2) - AREAS UNDER CURVES (Unit 2) Financial and business applications (All Unit 1) - Financial mathematics, AER - Spreadsheets - Flow charts

  21. New Content in Applications only – non PoS (contd.) Statistics (Unit 2) -Time series and MOVING AVERAGES Probability (Unit 2) -Risk

  22. Assessment structure

  23. Methods – Assessment Objectives and weightings Applications – Assessment Objectives and weightings

  24. Higher tier (E) D – A* Foundation Tier G - C Unit 2: 1 hour 45 mins 100 marks Unit 1: 1 hour 45 mins 100 marks Unit 1: 1 hour 45 mins 100 marks Unit 2: 1 hour 45 mins 100 marks Methods in Mathematics - Assessment

  25. Methods in Mathematics summary

  26. Higher tier (E) D – A* Foundation Tier G - C Unit 2: 1 hour 45 mins 100 marks Unit 1: 1 hour 45 mins 100 marks Unit 1: 1 hour 45 mins 100 marks Unit 2: 1 hour 45 mins 100 marks Applications in Mathematics - Assessment

  27. GCSE Mathematics summary: Applications

  28. Sample Question – Methods Foundation tier: Unit 1

  29. Sample Question – Methods Higher tier: Unit 1

  30. Sample question – Applications Foundation tier: Unit 1

  31. Sample Question - Applications Higher Tier: Unit 2

  32. Support Materials • Electronic resources for the pilot • Free for pilot centres • Available from website • Will cover additional pilot content • Available May 2010 • Maths 2010 Textbook • Will act as the base for pilot centres. • Same book as used for themainstream GCSE • Teacher Support Materials • Available to centres in early May • Available from pilot website • QCDA have developed pedagogy materials for the pilot. These are free and designed for pilot centres. They are available at www.qcda.gov.uk/24956.aspx

  33. Face-to-face Training Sessions • Compulsory for ALL pilot centres • Will focus on content and assessments • Upcoming sessions to cover Unit 1 in: • Face-to-face Unit 2 sessions will be run in September / October 2010

  34. Support for pilot centres www.edexcel.com/linkedpairpilot Secure access to past papers, mark schemes, grade boundaries, specifications and other learning resources dedicated pilot inbox, run by Pilots team: gcsemathspilot@edexcel.com Maths Emporium mathsemporium@edexcel.com E-mail in for expert advice or information

  35. Evaluation of Pilot • Independent evaluation conducted by organisation contracted by QCDA • Data for evaluation will be provided by centres and Edexcel • QCDA / Independent Evaluator will need to contact pilot centres as part of the evaluation • Evaluation of the pilot should be completed after Summer 2013

  36. Thank you for taking part todayAny Questions?

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