### Maths - KS5

**Advanced Level FURTHER MATHEMATICS at KS5**

**Examination Board: OCR Course Number: 8FM0**

**What is the course about?**

The A level course takes your ability to answer mathematical problems at GCE and extend them into real world modelling by providing you with even more core and applied mathematics skills. Through independent learning, classroom discussion and challenging concepts, we will develop your thinking and mathematical skills in a way that builds a deep understanding, preparing you for University.

**What skills and ideas will I learn?**

The key skills which underpin the study of maths at Key Stage 5 are to develop fluency, the ability to reason and to apply mathematical knowledge to problem solving. The topic areas covered in this qualification are split into three main sections: Pure, Discrete and Statistics. The content within these sections are outline below:

**Pure Mathematics 1**

Matrices; Vectors; applications of Matrices;Complex numbers;Roots of polynomials; Mathematical induction and Proof.

**Pure Mathematics 2**

Series and induction; Powers and roots of complex numbers; Complex numbers and trigonometry; Lines and planes in space; Simultaneous equations and planes; Hyperbolic functions; Further calculus techniques; Applications of calculus; Polar coordinates; Differential equations and applications of differential equations.

**Statistics**

Counting principles and probability; Discrete random variables; poisson Distribution; Non-parametric hypothesis tests; Correlation and regression; Chi-squared tests; Continuous distributions; Combining random variables and Further hypothesis tests and confidence intervals.

**Discrete Maths**

Problem solving; Graphs and networks; Algorithms; Network algorithms;Critical path analysis; Linear programming and Game theory.

**How is the course assessed?**

The assessment structure is 100% exam. There are four exams, equally weighted, each 1.5 hours with calculators allowed.

**What will the course allow me to progress to in the future?**

By completing an A level qualification in Further Mathematics you can choose just about any profession you want!

**Advanced Level MATHEMATICS at KS5**

**Examination Board: EDEXCEL Course Number: 9MA0**

**What is the course about?**

The A level course takes your ability to answer mathematical problems at GCSE and extend them into real world modelling by providing you with even more core mathematics skills. Through independent learning, classroom discussion and challenging concepts, we will develop your thinking and mathematical skills in a way that builds a deep understanding, preparing you for University.

**What skills and ideas will I learn?**

The key skills which underpin the study of maths at Key Stage 5 are to develop fluency, the ability to reason and to apply mathematical knowledge to problem solving. The topic areas covered in this qualification are split into three main sections: Pure, Mechanics and Statistics. The content within these sections are outline below:

**Pure Mathematics 1**

Quadratics, inequalities, graphs & transformations, circles, polynomial division, proof, binomial expansion, trigonometric identities and equations, vectors, differentiation, integration, exponentials & logarithms

**Pure Mathematics 2**

Proof, partial fractions, sequences & series, binomial expansion, radians, trigonometric functions, parametric equations, differentiation, integration, numerical methods and vectors

**Statistics and Mechanics**

Measures of location and spread, representations of data, regression & correlation, conditional probability, statistical distributions, hypothesis testing, normal distribution, forces and motion, variable acceleration, moments, projectiles and applications of forces

**How is the course assessed?**

The assessment structure is 100% exam. There are three exams, equally weighted, each 2 hours with calculators allowed. At this point in time, Edexcel have currently chosen to put Pure, Statistics and Mechanics into all three papers.

**What will the course allow me to progress to in the future?**

Just about any profession you choose!