Further Maths
A Level Course Followed: Further Mathematics
- Specification: Edexcel (Syllabus 9FMO)
Applied modules studied: Further Statistics 1, Decision 1.
Year 12
| Teacher 1 | Teacher 2 | Teacher 2 | Assessment Points | ||
|---|---|---|---|---|---|
| HT 1 | AS Pure | 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. | Baseline test. AS Pure (chapter 1 to 5) test. AS Maths and AS Further Maths test. |
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| HT 2 | AS Pure, AS/A2 Statistics, AS/A2 Mechanics | Integration. Exponentials and logarithms. Modelling in mechanics. Constant acceleration. Forces and motion. Forces and friction. Application of forces. The large data set. Data Collection. Measures of location and spread. Representations of data. Correlation. Probability. Conditional probability. Statistical distributions. Hypothesis testing. | AS Maths and AS Further Maths test. | ||
| HT 3 | A2 Pure, AS Further Statistics 1, AS Core Pure 1, AS Decision 1 | A2 Pure: Sequences and series. Core Pure 1: Complex numbers. Argand diagrams. Series. Roots of polynomials. Proof by induction. |
Further Statistics 1: Discrete random variables. Poisson distribution. | Decision 1: Algorithms. Graphs and networks. Algorithms on graphs. | |
| HT 4 | AS Further Statistics 1, AS Core Pure 1, AS Decision 1 |
Core Pure 1: Vectors. Volumes of revolution. Matrices. Linear transformations. | Further Statistics 1: Hypothesis testing. Chi-Squared tests. | Decision 1: Route inspection. Linear programming. Critical path analysis | |
| HT 5 | A2 Decision 1, A2 Pure | Algebraic methods. Functions and graphs. Sequences and series. | Decision 1: Graphs and networks. Algorithms on graphs. Route inspection. The travelling salesman problem. | Trial Exam (Maths and Further Maths) | |
| HT 6 | A2 Decision 1, A2 Pure | Binomial expansion. Radians. Trigonometric functions. | Decision 1: The simplex algorithm. Critical path analysis. | ||
YEAR 13
| 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.