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Further Mathematics

Year 12 Further Maths

Course title: Further Maths Exam board: AQA Specification code: 5371
How will students be assessed?  AS level Further Maths is currently unreformed. This means that the course is modular and will be assessed at the end of Year 12 with 3 examinations which lead to an AS qualification. The three modules are Further Pure Core 1, Decision 1 and Decision 2. There is no coursework.  All exams are 90 minutes long, have a maximum mark of 75 and contribute to 1/3 of the AS final grade. There is no coursework.
The assessment objectives are common to both AS and A Level. The schemes of assessment will assess candidates’ ability to:

  1. AO1  recall, select and use their knowledge of mathematical facts, concepts and techniques in a variety of contexts;
  2. AO2  construct rigorous mathematical arguments and proofs through use of precise statements, logical deduction and inference and by the manipulation of mathematical expressions, including the construction of extended arguments for handling substantial problems presented in unstructured form;
  3. AO3  recall, select and use their knowledge of standard mathematical models to represent situations in the real world; recognise and understand given representations involving standard models; present and interpret results from such models in terms of the original situation, including discussion of the assumptions made and refinement of such models;
  4. AO4  comprehend translations of common realistic contexts into mathematics; use the results of calculations to make predictions, or comment on the context; and, where appropriate, read critically and comprehend longer mathematical arguments or examples of applications;
  5. AO5  use contemporary calculator technology and other permitted resources (such as formulae booklets or statistical tables) accurately and efficiently; understand when not to use such technology, and its limitations; give answers to appropriate accuracy.

The use of clear, precise and appropriate mathematical language is expected as an inherent part of the assessment of AO2.

Key content
Half term Teacher 1 Teacher 2
1 (7 weeks)

Monday 5th Sept-Friday 22nd October

FP1 – Roots of quadratic equations
FP1 – Matrices
FP1 – Complex numbers
FP1 – Inequalities17th October data collection (CWA,PEG and ATL)
D1 – Graphs and networks
D1 –  Prims and Kruskal’s algorithms
D1 – Dijkstra’s algorithm
D1 – Chinese Postman17th October data collection (CWA,PEG and ATL)
2 (7 weeks)

Monday 31st October-Friday 16th Dec

FP1 – Trigonometry
FP1 – Matrix transformations
FP1 – Linear laws
FP1 – Calculus
D1 – Complete Chinese Postman
D1 – Travelling salesperson
D1 – Linear programming
D1 – Sorting algorithms
3 (7 weeks)

Tuesday 3rd January- Friday 17th February

FP1 – Series
FP1 – Numeric methods
FP1 – Asymptotes and rational functions
FP1 – Further rational functions
Year 12 Data Drop 9th January data collection (CWA, PEG and ATL)Mock Exams 1: Tuesday 31st Jan-Friday 3rd Feb
Mock Exam Further Pure Core 1
D1 – Sorting algorithms
D2 – Allocation
D2 – Network flowsYear 12 Data Drop 9th January data collection (CWA, PEG and ATL)Mock Exams 1: Tuesday 31st Jan-Friday 3rd Fe
4 (6 weeks)

Monday 27th Feb-Friday 7th April

FP1 – Parabolas, ellipses and hyperbolas
D2 – The simplex algorithm
D2 – Game theoryYear 12 Data Drop: 27th February (Mock Exam Results)
Year 12 Parents’ Evening: 16th March
D2 – Critical path analysis
D2 – Dynamic programming
D2 – The simplex algorithm
D2 – Game theory
Year 12 Data Drop: 27th February (Mock Exam Results)
Year 12 Parents’ Evening: 16th March
5 (5 weeks)

Monday 24th April – Friday 26th May)

Review and revise for external exams
Mock Exams 2: Monday 15th May-Friday 19th May
Mock Exam: Decision 1
6 (7 weeks)

Monday 5th June-Friday 21st July

External exam units FP1, D1 and D2 in June 2017
Begin FP4 after external exams
Data Drop/Year 12 Reports begin Monday 3rd July

Year 13 Further Maths

Course title: Further Maths Exam board: AQA Specification code: 6370
How will students be assessed?  A level Further Maths is currently unreformed. This means that the course is modular and will be assessed at the end of Year 13 with 3 examinations which lead, together with AS modules, to an A2 qualification. The three modules are Further Pure Core 3, Further Pure Core 4 and Statistics 2. There is no coursework.  All exams are 90 minutes long, have a maximum mark of 75 and contribute to 1/6 of the A2 final grade. There is no coursework.
The assessment objectives are common to both AS and A Level. The schemes of assessment will assess candidates’ ability to:

  1. AO1  recall, select and use their knowledge of mathematical facts, concepts and techniques in a variety of contexts;
  2. AO2  construct rigorous mathematical arguments and proofs through use of precise statements, logical deduction and inference and by the manipulation of mathematical expressions, including the construction of extended arguments for handling substantial problems presented in unstructured form;
  3. AO3  recall, select and use their knowledge of standard mathematical models to represent situations in the real world; recognise and understand given representations involving standard models; present and interpret results from such models in terms of the original situation, including discussion of the assumptions made and refinement of such models;
  4. AO4  comprehend translations of common realistic contexts into mathematics; use the results of calculations to make predictions, or comment on the context; and, where appropriate, read critically and comprehend longer mathematical arguments or examples of applications;
  5. AO5  use contemporary calculator technology and other permitted resources (such as formulae booklets or statistical tables) accurately and efficiently; understand when not to use such technology, and its limitations; give answers to appropriate accuracy.

The use of clear, precise and appropriate mathematical language is expected as an inherent part of the assessment of AO2.

Key content
Half term Teacher 1 Teacher 2
1 (7 weeks)

Monday 5th Sept-Friday 22nd October

FP4 – Matrix arithmetic
FP4 – Matrix transformations
FP4 – The vector product
FP4 – Determinants
17th October data collection (CWA,PEG and ATL)
S2 – Discrete random variables
S2 – Poisson distribution
S2 – Continuous random variables
17th October data collection (CWA,PEG and ATL)
2 (7 weeks)

Monday 31st October-Friday 16th Dec

FP4 – Applications of vector products
FP4 – Inverse matrices17th November Year 13 Reports Released
Year 13 Parents’ Evening: Wednesday 7th December
S2 – Estimation
S2 – Hypothesis testing
S2 – Chi – squared tests17th November Year 13 Reports Released
Year 13 Parents’ Evening: Wednesday 7th December
3 (7 weeks)

Tuesday 3rd January- Friday 17th February

FP4 – Solving linear equations
FP4 – EigenvectorsYear 13 Data Drop 9th January data collection (CWA, PEG and ATL)
Mock Exams 1: Tuesday 31st Jan-Friday 3rd Feb
Mock Exam Further Pure Core 4
FP3– Introduction to differential equations
FP3 – Numerical methods for solving first order diff equations
FP3 – Second order differential equations
Year 13 Data Drop 9th January data collection (CWA, PEG and ATL)
Mock Exams 1: Tuesday 31st Jan-Friday 3rd Feb
4 (6 weeks)

Monday 27th Feb-Friday 7th April

FP3 – Polar coordinates
FP3 – Series and limits
Year 13 Data Drop: 27th February (Mock Exam Results)
FP3 – Second order differential equations
Year 13 Data Drop: 27th February (Mock Exam Results)
5 (5 weeks)

Monday 24th April – Friday 26th May)

Prepare and revise for external exams