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 This session is only aimed at centres who have been approved onto the pilot. If you are unsure of your status,

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

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 QCDA website

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, Geometry The content of Unit 2 builds on the content of Unit 1 Each paper assesses all Assessment Objectives Traditional question and answer booklet, scanned and marked by examiner online

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, Statistics Apps 2: Number, Algebra, Geometry, Measures, Probability Each paper assesses all Assessment Objectives Functional elements make up 20-30% of Higher Tier papers and 30-40% of Foundation Papers Traditional question and answer booklet, scanned and marked by examiner online

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

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)

Content

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

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

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

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

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

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

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

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

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

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

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

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

Assessment structure

Methods – Assessment Objectives and weightings % in GCSE AO1: Recall and use their knowledge of the prescribed content 50 – 60% AO2: Select and apply mathematical methods15 – 25% AO3: Interpret and analyse problems and use mathematical reasoning to solve them 20 – 30% % in GCSE AO1: Recall and use their knowledge of the prescribed content 40 – 50% AO2: Select and apply mathematics methods in a range of contexts 30 – 40% AO3: Interpret and analyse problems and generate strategies to solve them 15 – 25% Applications – Assessment Objectives and weightings

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

Methods in Mathematics summary Unit Tier Availability Method of Assessment Availability First Assessment Weighting Structure of Assessment 1 F and H tiers External assessment November, June June %Non-calculator 2 F and H tiers External assessment November, June June %Calculator

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

GCSE Mathematics summary: Applications Unit Tier Availability Method of Assessment Availability First Assessment Weighting Structure of Assessment 1 F and H tiers External assessment November, June June %Calculator 2 F and H tiers External assessment November, June June %Calculator

Sample Question – Methods Foundation tier: Unit 1

Sample Question – Methods Higher tier: Unit 1

Sample question – Applications Foundation tier: Unit 1

Sample Question - Applications Higher Tier: Unit 2

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 the mainstream GCSE mainstream 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

Face-to-face Training Sessions Compulsory for ALL pilot centres Will focus on content and assessments Upcoming sessions to cover Unit 1 in: LocationDateTime London24th May10.00 – London25th May10.00 – Birmingham28th May10.00 – Manchester21st May10.00 – Bristol24th May10.00 – Face-to-face Unit 2 sessions will be run in September / October 2010

Support for pilot centres Maths Emporium in for expert advice or information Secure access to past papers, mark schemes, grade boundaries, specifications and other learning resources dedicated pilot inbox, run by Pilots team:

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

Thank you for taking part today Any Questions?