# Mathematics AS/A Level at S. Peter's Collegiate School - A CofE Academy

## Course description

This course will build upon GCSE Mathematics knowledge - extending familiar algebraic, spatial and statistical concepts.** All** students

**have at least a high**

__must__**in GCSE Higher Mathematics to start the course but be advised that in order to achieve pass grades you must be able to show competence in the A/A* GCSE Algebraic techniques. (Evidence of your ability to do this may be sought through the satisfactory completion of a preparatory workbook prior to your acceptance on the course). Maths Mechanics will also benefit students following Physics and Engineering, whilst Statistics will benefit students following Geography, Economics, Biology, Chemistry and Law.**

__Grade B__- There is no coursework component in this specification, which allows students more time to concentrate on practising their techniques. All units will be examined in the summer.
- Each module has been broken down into smaller sections which make learning more accessible.
- All students have to complete two compulsory Pure Units and one Applied unit at both AS and A2.
- Students have the opportunity to choose either Mechanics 1 or Decision 1 unit as their Option in Year 12. In Year 13, a decision will be made as to their option choice
- Each paper will consist of short (3 or 4 marks) and long questions (up to 16 marks)
- There are four Pure Core units which make up two-thirds of the full A level qualification and provide the techniques in Algebra, Geometry, Trigonometry and Calculus that form the fundamental building blocks of the subject.

## Course content

**AS LEVEL**

__Unit 1 - Compulsory Module__

** Mathematics Pure Core 1 **(Code: MPC1)

- Algebra
- Coordinate Geometry
- Differentiation
- Integration

__Unit 2 – Compulsory Module__

** Mathematics Pure Core 2 ** (Code: MPC2)

- Algebra and Functions
- Sequences and Series
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration

**AS Optional Modules – Unit 3 (Choose one) **

** Mathematics Mechanics 1** (Code: MM1B)

- Mathematical Modelling
- Kinematics in One and Two Dimensions
- Statics and Forces
- Momentum
- Newton’s Laws of Motion
- Connected Particles
- Projectiles

** Mathematics Decision 1** (Code: MDO1)

- Simple Ideas of Algorithms
- Graphs and Networks
- Spanning Tree Problems
- Matchings
- Shortest Paths in Networks
- Route Inspection Problem
- Travelling Salesperson Problem
- Linear Programming
- Mathematical Modelling

**A2 LEVEL**

** Unit 4 **–

**Code:MPC3)**

__Mathematics Pure Core 3__- Algebra and Functions
- Trigonometry
- Exponentials and Logarithms
- Differentiation
- Integration
- Numerical Methods

** Unit 5** –

**(Code: MPC4)**

__Mathematics Pure Core 4__- Algebra and Functions
- Coordinate Geometry in the (x, y) plane
- Sequences and Series
- Trigonometry
- Exponentials and Logarithms
- Differentiation and Integration
- Vectors

**A2 Optional Modules Unit 6 (Choose one unit)**

** Mathematics Mechanics 2** (Code: MM2B)

- Mathematical Modelling
- Moments and Centres of Mass
- Kinematics
- Newton’s Laws of Motion
- Application of Differential Equations
- Uniform Circular Motion
- Work and Energy
- Vertical Circular Motion

** Mathematics Statistics 1** (Code: MS1B)

- Numerical Measures
- Probability
- Binomial Distribution
- Normal Distribution
- Estimation
- Correlation and Regression

## Entry requirements

GCSE Higher Tier – High Grade B following 2 year Linear Course

GCSE APS of 43

## Assessment

**AS Level**

**Unit 1**

A written paper lasting 1 hour 30 minutes

__Maximum Marks available: __

75 marks in total which is scaled to a UMS mark of 100.

__Information regarding Assessment:__

All questions are compulsory.

This unit is the only NON – CALCULATOR paper. Weighted at 16.7% of an A Level. (33.3% of an AS).

**Unit 2**

A written paper lasting 1 hour 30 minutes

__Maximum Marks available: __

75 marks in total which is scaled to a UMS mark of 100.

__Information regarding Assessment:__

All questions are compulsory.

A scientific or graphics calculator can be used.

Weighted at 16.7% of an A Level. (33.3% of an AS)

**Unit 3**

A written paper lasting 1 hour 30 minutes

** Maximum Marks available:** 75 marks in total which is scaled to a UMS mark of 100

__Information regarding Assessment:__

All questions are compulsory. A scientific or graphics calculator can be used. Weighted at 16.7% of an A Level. (33.3% of an AS)

**A Level**

**Unit 4**, **5 & 6**

A written paper for each of the 3 units lasting 1 hour 30 minutes

** Maximum Marks available: **Each unit has 75 marks in total which is scaled to a UMS mark of 100.

__Information regarding Assessment:__

All questions are compulsory. A scientific or graphics calculator can be used. Weighted at 16.7% of an A Level.

## How to apply

If you want to apply for this course, you will need to contact S. Peter's Collegiate School - A CofE Academy directly.