At King James I Academy, the Mathematics department’s intent is for the curriculum to be designed to ensure that students acquire a deep, longterm, secure, and flexible understanding of the subject. The curriculum will:
Develop students’ ability to reason mathematically
Enable students to become fluent in the fundamentals of mathematics through frequent and varied practice with increasingly complex problems over time such that they will develop conceptual understanding and the ability to recall and apply their knowledge speedily and accurately
Allow students to solve problems by applying their mathematics to a variety of routine and nonroutine problems with increasing sophistication, including reducing problems into a series of simpler steps and persevering in seeking solutions whilst appreciating various methods may be applicable
Help students to develop an appreciation of the beauty and power of mathematics and have a sense of enjoyment and curiosity about the subject
Enable students to reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, testing hypotheses, and developing an argument, justification or proof using appropriate mathematical language
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.
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.
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 Alevel in Mathematics in Year 13. Both exams last 1h30 and are calculator papers
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
Alevel exams are taken in the summer series of Year 13. All exams are calculator papers and last 2 hours.
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.
Paper 1: Core Pure Maths 50% of the final grade
Paper 2: Decision Maths 1 and 2 50% of the final grade
Both exams last 1h40 and are calculator papers.? Alevel Further Maths will be offered dependent on results of Grade C or higher on AS Further Maths.
Paper 1: Core Pure Maths 1 25% of the final grade
Paper 2: Core Pure Maths 2 25% of the final grade
Paper 3: Decision 1 Maths 25% of the final grade
Paper 4: Decision 2 Maths 25% of the final grade
All exams last 1h30 and are calculator papers.
More able KS5 Maths students take part in the UKMT’s Senior Individual and Team Challenges in the Autumn term of each academic year.
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)
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 Alevel 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, 
ALevel 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 
ALevel 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 
ALevel 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: Proof, Complex Numbers, Matrices, Further Algebra and Functions, Further Calculus, Further Vectors 
ALevel Further Maths Pure: Proof, Complex Numbers, Matrices, Further Algebra and Functions, Further Calculus, Further Vectors, Polar Coordinates, Hyperbolic Functions, Differential Equations 
AS Further Maths Decision 1: Algorithms and graph theory, Algorithms on graphs, Algorithms on graphs II, Critical Path Analysis, Linear Programming 
Alevel Further Maths Decision 1: Algorithms and graph theory, Algorithms on graphs, Algorithms on graphs II, Critical Path Analysis, Linear Programming, 
AS Further Maths Decision 2: Allocation (assignment) problems, Flows in Networks, Game Theory, Recurrence Relations 
Alevel Further Maths Decision 2: Transportation problems, Allocation problems, Flows in Networks, Dynamic Programming, Game Theory, Recurrence Relations, Decision Analysis 
A Level Maths
Year 12  Learning Journey  AS Maths.pdf 
Year 13  Learning Journey  A level Maths.pdf 
A Level Maths
Year 12  Learning Journey  AS Further Maths.pdf 
Year 13  Learning Journey  A Level Further Maths.pdf 
Core Maths
Year 12  Learning Journey Core Maths.pdf 