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GCSE ‘Linked Pair Pilot’ Mathematics March 2010
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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, email [email protected]
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
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 1Number- 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 2Number- 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 methods 15 – 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
mins100 marks
Unit 1:1 hour 45
mins100 marks
Higher tier(E) D – A*
FoundationTierG - C
Unit 1:1 hour 45
mins100 marks
Unit 2:1 hour 45
mins100 marks
Methods in Mathematics summary
Unit Tier
Availability
Method of Assessmen
t
Availability
First Assessme
nt
Weighting
Structure of Assessment
1F and H
tiers
External assessmen
t
November, June
June 2011 50%Non-
calculator
2F and H
tiersExternal
assessment
November, June
June 2011 50% Calculator
Applications in Mathematics - Assessment
Unit 2:1 hour 45
mins100 marks
Unit 1:1 hour 45
mins100 marks
Higher tier(E) D – A*
FoundationTierG - C
Unit 1:1 hour 45
mins100 marks
Unit 2:1 hour 45
mins100 marks
GCSE Mathematics summary: Applications
Unit Tier
Availability
Method of Assessment
Availability
First Assessme
nt
Weighting
Structure of Assessment
1F and H
tiersExternal
assessmentNovember
, JuneJune 2011 50% Calculator
2F and H
tiersExternal
assessmentNovember
, JuneJune 2011 50% 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
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
Face-to-face Training Sessions
• Compulsory for ALL pilot centres• Will focus on content and assessments• Upcoming sessions to cover Unit 1 in:
Location Date Time
London 24th May 10.00 – 15.30
London 25th May 10.00 – 15.30
Birmingham 28th May 10.00 – 15.30
Manchester 21st May 10.00 – 15.30
Bristol 24th May 10.00 – 15.30
• Face-to-face Unit 2 sessions will be run in September / October 2010
Support for pilot centres
Maths Emporium
E-mail in for expert advice or information
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: [email protected]
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?
