# Mathematics A Level at Ysgol Maes y Gwendraeth

## Course description

**Why study Mathematics?**

- An opportunity to study three aspects of the subject namely Pure Mathematics, Mechanics and Statistics.
- Develop skills useful in the world of work, namely problem solving, logical thinking, analysing data and using complex concepts.
- Gain a qualification which could lead to a career in areas such as Engineering, Information Technology, Economics, Business, Architecture, Surveying, Banking, Accountancy and Teaching, to name but a few.
- There is a demand for people with high level numeracy skills in the country’s workforce.
- It is a challenging subject which gives students a feeling of satisfaction when they succeed in solving problems.

## Course content

The ‘A’ Level Course consists of 6 units.

C1 + C2 + C3 + C4 + two from M1, S1, M2, S2

There is significant overlap between the Mechanics units (M1 and M2) and the ‘A’ Level Physics course and also the techniques studied in the Statistics modules (S1 and S2) will be helpful to those students studying Biology or Geography.

There is an opportunity to study an additional unit to the eight mentioned above, namely FP1 (Further Pure Mathematics 1) through the Welsh Education Partnership. By studying a total of 9 modules, two qualifications can be gained, namely ‘A’ Level Mathematics and ‘AS’ Level Further Mathematics.

**Year 12**

C1: Pure Mathematics

- Co-ordinate Geometry
- Surds, Quadratic Functions, Inequalities, Binomial Theorem
- Remainder Theorem, Factor Theorem
- Calculus - differentiation

C2: Pure Mathematics

- Arithmetic and Geometric Sequences
- Trigonometry, the Circle, Logarithms
- Calculus – Integration, Trapezium Rule

M1: Mechanics

- Equations of Motion, Newton’s Laws of Motion
- Momentum, Impulse, Newton’s Experimental Law
- Statics – Resolving, Resultant Force, Moments, Centre of Mass

S1: Statistics

- Probability
- Distributions of Discrete Random Variables
- Binomial and Poisson Distributions
- Distributions of Continuous Random Variables

**Year 13**

C3: Pure Mathematics

- Calculus – differentiation, integration, Simpson’s Rule
- Trigonometry
- Modulus Function, Iterative Methods, Transformation of Graphs

C4: Pure Mathematics

- Binomial Theorem, Partial Fractions
- Trigonometry, Vectors
- Differentiation, Integration, Differential Equations

M2: Mechanics

- Hooke’s Law, Work, Energy, Power
- Projectiles, Vectors
- Motion in a Circle

S2: Statistics

- Uniform and Normal Distributions
- Distribution of the Mean of a Sample
- Hypothesis Testing
- Confidence Limits

**Additional Further option in Year 13**

FP1: Further Pure Mathematics

- Complex Numbers
- Induction, Series
- Roots of Polynomial Equations
- Matrices, Transformations
- Further differentiation

## Assessment

All the work is assessed by means of external examinations.

Students will be required to learn facts and communicate their solutions and methods clearly in written form throughout the course. Moreover, to ensure success, regular practice in ‘using’ Mathematics to solve problems is essential.

C1:

- 16.7% of A Level
- Written Examination (1 ½ hours)

C2:

- 16.7% of A Level
- Written Examination (1 ½ hours)

M1:

- 16.7% of A Level
- Written Examination (1 ½ hours)

S1:

- 16.7% of A Level
- Written Examination (1 ½ hours)

C3:

- 16.7% of A Level
- Written Examination (1 ½ hours)

C4:

- 16.7% of A Level
- Written Examination (1 ½ hours)

M2:

- 16.7% of A Level
- Written Examination (1 ½ hours)

S2:

- 16.7% of A Level
- Written Examination (1 ½ hours)

FP1:

- 16.7% of A Level
- Written Examination (1 ½ hours)

## Future opportunities

A career in areas such as Engineering, Information Technology, Economics, Business, Architecture, Surveying, Banking, Accountancy and Teaching, to name but a few.

## How to apply

If you want to apply for this course, you will need to contact Ysgol Maes y Gwendraeth directly.