Further Maths
A Level Course Followed: Further Mathematics
- Specification: Edexcel (Syllabus 9FMO)
Year 12
| Module content studied in half term 1 to half term 4 (All pupils will study the topics below, the order in which they are studied will be dependent upon the class teachers) |
|
|---|---|
| AS Pure (Maths) | Basic algebraic manipulation, indices and surds, Quadratic functions, Equations and inequalities, Graphs and transformations, Straight line graphs, Circles, Algebraic methods, Binomial theorem, Trigonometric ratios, Trigonometric identities and equations, Radians, Vectors (AS and A2), Differentiation, Integration, Exponentials and logarithms. |
| A2 Pure (Maths) | Sequences and series. |
| AS/A2 Mechanics (Maths) | Modelling in mechanics, Constant acceleration, Forces and motion, Forces and friction, Application of forces. |
| AS/A2 Statistics (Maths) | The large data set, Data Collection, Measures of location and spread, Representations of data, Correlation, Probability, Conditional probability, Statistical distributions, Hypothesis testing. |
| Core Pure 1 (Further Maths) | Complex numbers, Argand diagrams, Series, Roots of polynomials, Proof by induction, Vectors, Volumes of revolution, Matrices, Linear transformations. |
| Further Statistics 1 (Further Maths) | Discrete random variables, Poisson distribution, Hypothesis testing, Chi-Squared tests. |
| Decision 1 (Further Maths) | Algorithms, Graphs and networks, Algorithms on graphs, Route inspection, Linear programming, Critical path analysis. |
| Module content studied in half term 5 to half term 6 | |
|---|---|
| A2 Pure (Maths) | Algebraic methods, Functions and graphs, Sequences and series, Binomial expansion, Radians, Trigonometric functions. |
| Decision 1 (Further Maths) | Graphs and networks, Algorithms on graphs, Route inspection, The travelling salesman problem, The simplex algorithm, Critical path analysis. |
Assessment points (year 12)
- Half term 1: Baseline test, AS Pure (chapter 1 to 5) test, AS Maths and AS Further Maths test.
- Half term 2: AS Maths and AS Further Maths test.
- Half term 5: Trial Exam (Maths and Further Maths).
YEAR 13
In Year 13 all classes will follow the structure below.
| Teacher 1 | Teacher 2 | Teacher 3 | Assessment points | ||
|---|---|---|---|---|---|
| HT 1 | A2 Pure | Trigonometry and modelling. Parametric equations. Differentiation. | A2 Pure (chapter 1 to 5) test | ||
| HT 2 | A2 Statistics, AS/A2 Mechanics | Numerical methods. Integration. Regression, correlation and hypothesis testing. The normal distribution. Moments. | Decision 1 test | ||
| HT 3 | Core Pure 2, Further Statistics 1, AS/A2 Mechanics | Core Pure 2: Complex numbers. Series. | Further Statistics 1: Geometric and negative binomial distributions. Hypothesis testing. | Mechanics: Projectiles. Application of forces. Variable acceleration. | Trial Exams |
| HT 4 | Core Pure 2, Further Statistics 1, AS/A2 Mechanics | Core Pure 2: Hyperbolic functions. Polar coordinates. | Further Statistics 1: Central limit theorem. Chi-Squared tests. | Mechanics: Further Kinematics. | |
| HT 5 | Core Pure 2, Further Statistics 1 | Core Pure 2: Methods in differential equations. Modelling with differential equations. | Further Statistics 1: Probability generating functions. Quality of tests | Core Pure 2: Volumes of revolution. Methods in calculus. | A Level Exams |
| HT 6 | N/A | A Level Exams | |||
Recommended revision material for A Level Further Maths
Several websites have practice questions and solutions. We recommend: alevelmathsrevision.com, mathsandphysicstutor.com.
There are links to videos on the A Level Further Maths scheme of work to revise each topic.
Additional revision resources, specimens and past papers are available in the students' shared area.