## Lessons

## What is Maths?

Maths A-Level builds on the knowledge and skills that you acquired during your GCSE. It will increase your understanding of familiar ideas and introduce you to new concepts and techniques. You will apply mathematical ideas in the context of statistics and mechanics.

The course is a combination of both pure and applied mathematics, with about two thirds focusing on pure mathematics, one sixth on statistics and one on sixth mechanics. Mechanics builds on Newtonian ideas of motion and forces and is strongly linked to Physics. Statistics allows us to make sense of the world around us through data analysis. The key theme is a continued study of algebra and graphs.

## Year 1

## Studying & Assessment - AS Level

You'll learn material split across three components:

**Pure Maths**

- Proof
- Algebra and functions
- Coordinate geometry in the x-y plane
- Sequences and series
- Trigonometry
- Differentiation
- Integration
- Vector

**Statistics**

- Statistical sampling
- Data presentation and interpretation
- Probability
- Statistical distribution
- Statistical hypothesis testing

**Mechanics**

- Quantities and units in mechanics
- Kinematics
- Forces and Newton's Law

At the end of the Lower Sixth you'll take two exams both of which are worth 50% of your final grade. One assesses pure maths and statistics while the other assesses pure maths and mechanics.

**Pure Maths**

- Proof
- Algebra
- Function
- Graphs
- Coordinate Geometry
- Sequences and series
- Trigonometry
- Exponentials and Logarithms
- Calculus
- Vectors

**Statistics**

- Sampling
- Data presentation and interpretation
- Probability
- Probability distributions
- Statistical hypothesis testing

**Mechanics**

- Models and quantities
- Kinematics in 1 dimension
- Forces
- Newton's laws of motion

At the end of the Lower Sixth you'll take two exams both of which are worth 50% of your final grade. One assesses pure maths and statistics while the other assesses pure maths and mechanics.

AQA AS Maths focuses on three overarching themes:

- Mathematical argument, language and proof
- Mathematical problem solving
- Mathematical modelling

You'll also learn:

**Pure Maths**

- Proof
- Algebra and functions
- Coordinate geometry in the (x,y) plane
- Sequences and series
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration

**Statistics**

- Vectors
- Statistical sampling
- Data presentation and interpretation
- Probability
- Statistical distributions
- Statistical hypothesis testing

**Mechanics**

- Quantities and units in mechanics
- Kinematics
- Forces and Newton’s laws

At the end of the Lower Sixth you'll take two exams both of which are worth 50% of your final grade. One assesses pure maths and statistics while the other assesses pure maths and mechanics.

The Edexcel AS Maths covers:

**Pure Maths**

- Proof
- Algebra and functions
- Coordinate geometry in the (x, y) plane
- Sequences and series
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration
- Vectors

**Statistics**

- Statistical sampling
- Data presentation and interpretation
- Probability
- Statistical distributions
- Statistical hypothesis testing

**Mechanics**

- Quantities and units in mechanics
- Kinematics
- Forces and Newton’s laws

At the end of the year you'll be required to take two exams, one focusing on pure maths and the other focusing on stats and mechanics. The pure maths exam is worth 62.5% of your final grade while the stats and mechanics exam is worth 37.5% of your final grade.

## Year 2

## Studying & Assessment - A Level

**Pure Maths**

- Proof
- Algebra and functions
- Coordinate geometry in the x-y plane
- Sequences and series
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration
- Numerical Methods
- Vectors
- Statistics

**Statistical sampling**

- Data presentation and interpretation
- Probability
- Statistical distributions
- Statistical hypothesis testing

**Mechanics**

- Quantities and units in mechanics
- Kinematics
- Forces and Newton's laws
- Moments

At the end of Upper Sixth you'll be required to take three exams all worth a third of your final grade. One focuses solely on pure maths, one both pure maths and statistics and the third both pure maths and mechanics.

**Pure Maths**

- Proof
- Algebra
- Function
- Graphs
- Coordinate geometry
- Sequences and series
- Trigonometry
- Exponentials and logarithms
- Calculus
- Vectors
- Numerical methods

**Statistics**

- Sampling
- Data presentation and interpretation
- Probability
- Probability distributions
- Statistical hypothesis testing

**Mechanics**

- Models and quantities
- Kinematics in 2 dimensions
- Projectiles
- Forces
- Newton's laws of motion
- Rigid bodies

At the end of Upper Sixth you'll be required to take three exams. One focuses on pure maths and comprehension and is worth 27% of your final grade, one focusing on both pure maths and statistics and is worth 36% of your final grade, and the third focusing on both pure maths and mechanics and worth 36% of your final grade.

AQA A-Level Maths focuses on three overarching themes:

- Mathematical argument, language and proof
- Mathematical problem solving
- Mathematical modelling

The content of the A-Level will include:

**Pure Maths**

- Proof
- Algebra and functions
- Coordinate geometry in the (x,y) plane
- Sequences and series
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration
- Numerical methods
- Vectors

**Statistics**

- Statistical sampling
- Data presentation and interpretation
- Probability
- Statistical distributions
- Statistical hypothesis testing

**Mechanics**

- Quantities and units in mechanics
- Kinematics
- Forces and Newton’s laws
- Moments

At the end of Upper Sixth you'll be required to take three exams all worth a third of your final grade. One focuses solely on pure maths, one both pure maths and statistics and the third both pure maths and mechanics.

**Pure Maths**

- Proof
- Algebra and functions
- Coordinate geometry in the (x, y) plane
- Sequences and series
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration
- Numerical methods
- Vectors

**Statistics**

- Statistical sampling
- Data presentation and interpretation
- Probability
- Statistical distributions
- Statistical hypothesis testing

**Mechanics**

- Quantities and units in mechanics
- Kinematics
- Forces and Newton’s laws
- Moments

You'll be assessed by three exams each worth a third of your final grade. Two exams will focus on pure maths while the third will focus on both stats and mechanics.

## Entry Requirements

## Entry Requirements

Depending on the college you are going to attend it's likely that you'll be required to have a grade 7 in GCSE mathematics. If you gained a grade 6 you might be required to take on extra maths tuition to get you up to scratch in your first term or summer holidays, for example through an intensive algebra bridging course.

## What's Next

## Next Steps

Maths is a great choice of A-Level and is highly regarded. It provides strong support to any application for employment or further study. You might choose to go to university and study pure maths, whilst the mechanics or stats you'll learn at college are also very useful (often required) for any science, social science or engineering course if you choose to pursue one of those careers.

## Skills

## Skills

An A-level in Maths helps you develop a wide range of transferable skills including:

- Problem solving
- Logical thinking
- Numeracy - being comfortable with numbers
- Analysis

## Resources

## Resources

### Online Courses

- Maths Puzzles: Cryptarithms, Symbologies and Secret Codes
- Basic Science: Understanding Numbers
- Introduction to Mathematical Thinking
- Introduction to Logic
- Data tells a story

### Revision

### Podcasts

## Other Subjects

## What should I study Maths alongside?

Maths goes with everything! The Statistics element of mathematics supports the study of subjects such as biology, business studies, economics, geography, psychology and sociology. The Mechanics part of mathematics supports the study of physics and engineering. However, you can do any subject you like in combination with maths, and if you are doing lots of essay subjects is a great way to add another string to your bow.