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Further Mathematics

Year 12 Further Maths AS Level 2017 2018

Course title: Further Maths Exam board: AQA Specification code: 7366
How will students be assessed?
AS level Further Mathematics is a linear course which is assessed with two examinations. Each exam is marked out of 80 and lasts for 1.5 hours. The papers are all calculator papers and are equally weighted, each being worth 50% of the final mark. Each paper has a mix of question styles varying from short single mark questions to longer unstructured questions. Paper one examines Pure Mathematical methods only, whilst paper two examines topics from Statistics with either Mechanics or Discrete, depending on the needs of the cohort.

The AS level syllabus extends and deepens Mathematical understanding and requires students to demonstrate their skills and knowledge through the application of problem solving techniques and with the use of clear, precise and appropriate mathematical language.

 

Half term Key content
1 (7 weeks) Proof
Complex numbers16 October data collection (CWA,PEG and ATL)
2 (8 weeks) Matrices
Further algebra and functions
Further calculus
3 (5 weeks) Discrete random variables
Poisson distribution1 Feb  Mock Exams
4 (6 weeks) Type 1 and type 11 errors
Continuous random variables
26 Feb data collection (CWA, PEG and ATL)
6  March Parents’ Evening
5 (6 weeks) Chi testing
Confidence intervals11 June Reports Open27 June – 3 July Exam Week9 July data collection (CWA, PEG and ATL)

 

Year 13 Further Mathematics

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)

 

FP4 – Matrix arithmetic

FP4 – Matrix transformations

FP4 – The vector product

FP4 – Determinants

18 September UCAS Data Drop

9 October- Reports open

16 October data collection (CWA,PEG and ATL)

S2 – Discrete random variables

S2 – Poisson distribution

S2 – Continuous random variables

18 September UCAS Data Drop

9 October- Reports open

16 October data collection (CWA,PEG and ATL)

2 (8 weeks)

 

FP4 – Applications of vector products

FP4 – Inverse matrices

12 December Parents’ Evening

S2 – Estimation

S2 – Hypothesis testing

S2 – Chi – squared tests

12 December Parents’ Evening

3 (5 weeks)

 

FP4 – Solving linear equations

FP4 – Eigenvectors

 

1 Feb- 5 Feb Mock exams

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

1 Feb- 5 Feb Mock exams

4 (6 weeks)

 

FP3 – Polar coordinates

FP3 – Series and limits

26 Feb data collection (CWA, PEG and ATL)

FP3 – Second order differential equations

26 Feb data collection (CWA, PEG and ATL)

 

5 (6 weeks)

 

23 April data collection (CWA, PEG and ATL)