Mathematics

 

Department Information

What types of skills do employers look for? Problem Solving, Statistical Analysis, Proportional Reasoning, and good Communication Skills, to name just a few. These transferable skills are useful in any job, and you can get all of them from studying Maths.

Maths is studied by all students until the completion of Year 11. Success in Mathematics is a key component to future career success with most employers now requiring a minimum of a GCSE Grade 4. Teachers in the Maths Department believe that all students are mathematically able and work to support our students in becoming numerically literate.

Students at King James I Academy are taught in ability groupings, which allows us to tailor their learning experience to their current stage of mathematical development. Following each assessment period the classes are reviewed and amended as needed in order to challenge and support our students in a way that will best suits their needs.

Our curriculum is designed to build upon prior learning established at primary school, to support their progression in becoming mathematically fluent, and to further their ability to reason logically and solve problems in a wide range of situations. Some of more able students are invited to take part in the United Kingdom Mathematical Trust’s individual and team challenges, attend Christmas Lectures at local universities, and compete in regional Maths competitions.

 

Key Stage 5

AQA AS Mathematics (students with GCSE Grade 7 or higher)

Paper 1: Pure Maths and Mechanics                                       50% of final grade

Paper 2: Pure Maths and Statistics                                           50% of final grade

AS exams are taken in the summer series of Year 12. If students achieve a C or higher, they then continue on to the full A-level in Mathematics in Year 13. Both exams last 1h30 and are calculator papers

 

AQA A-level Mathematics (students with AS Maths Grade C or higher)

Paper 1: Pure Maths                                                                       1/3 of final grade

Paper 2: Pure Maths and Mechanics                                       1/3 of final grade

Paper 3: Pure Maths and Statistics                                           1/3 of final grade

A-level exams are taken in the summer series of Year 13. All exams are calculator papers and last 2 hours.

 

AQA Level 3 Certificate in Mathematical Studies (Core Maths) (students with GCSE Grades 4 or higher)

Paper 1: Personal Finance and Statistics                                 50% of final grade

Paper 2A: Statistical Techniques                                                                50% of final grade

This course will finish following the exams in the summer series of Year 12.  This course can be picked up by students in Year 13 and completed within the academic year. Both exams last 1h30 and are calculator papers.

 

AQA AS Further Mathematics (student with GCSE Grade 8 or higher)

Paper 1: Pure Maths                                                                       50% of the final grade

Paper 2: Discrete Maths and Statistics                                    50% of the final grade

Both exams last 1h30 and are calculator papers.  A-level Further Maths will be offered dependent on results of Grade C or higher on AS Further Maths.

 

More able KS5 Maths students take part in the UKMT’s Senior Individual and Team Challenges in the Autumn term of each academic year.

 

Year 12

AS Maths students will extend their understanding of coordinate Geometry, Algebra, and Statistics alongside learning new topics including Calculus, Exponentials and Logarithms, and Mechanics. Core Maths students will learn about Taxation, Loans and Repayments, Critical Analysis and more as well as building upon their previous Stats work completed in Key Stage 4.  AS Further Maths students will undertake work on numerous new topics including Matrices, Complex Numbers, Polar Coordinates, Discrete Mathematics, Algorithms, and Statistical Distributions.

All students will need to be fully competent in the use of a scientific calculator; AS Further Maths students must also be able to use graphical calculators to further aid their studies.

(Recommended model: Casio FX – 991EX)

Year 13

The work completed by KS5 students in Year 13 will further develop concepts taught in Year 12.  Integration and trigonometry alongside the deepening of problem solving and reasoning skills become even more important in the successful completion of A-level Mathematics.

 

Year 12

Year 13

AS Maths

Pure Maths: Indices and surds, Coordinate geometry, Differentiation, Integration, Inequalities, Quadratics, Mathematical modelling, Proof, Graphs and transformations, Equations of a circle, Trigonometry, Exponentials and logarithms,

A-level Maths

Pure Maths: AS Maths content extended and deepened, Sequences and series, Functions, Numerical methods, Partial fractions, Parametrics, and Vectors

AS Maths

Statistics: Statistical sampling, Data presentation and interpretation, Probability, Binomial distribution, Hypothesis testing

A-level Maths

Statistics: AS Maths content extended and deepened,, Normal distribution

AS Maths

Mechanics: Quantities and units in SI system, Kinematics, Forces and Newton’s Laws

A-level Maths

Mechanics: AS Maths content extended and deepened,, Moments

Core Maths

Personal Finance: Percentages, Interest Rates, Repayments and Credit, Taxation

 

Core Maths

Critical Analysis, Fermi Estimation, Use of Spreadsheets

 

Core Maths

Statistics: Collecting and sampling data, representing data – graphs, averages, measures of spread, Normal Distribution, Correlation and Regression, Probabilities and Estimation

 

AS Further Maths

Pure: Complex Numbers, Matrices, Further Algebra and Functions, Further Vectors, Further Calculus, Polar Coordinates, Hyperbolic Functions, Proof

A-level Further Maths

Pure: AS content extended and deepened, Differential Equations, Numerical Methods

AS Further Maths

Discrete: Graphs, Network algorithms, Critical path analysis, Linear programming, Game Theory, Binary Operations

A-level Further Maths

Discrete: AS content extended and deepened, Group Theory

AS Further Maths

Statistics: Discrete and continuous random variables, Poisson distribution, Type I and II errors, Chi squared test, Confidence Intervals

A-level Further Maths

Statistics: AS content extended and deepened, Exponential distribution, Inference – one sample t-distribution