# Mathematics A level at The Holy Cross School

## Course description

A Level Mathematics builds on and extends GCSE knowledge and skills and introduces new ideas, such as calculus and its applications. It emphasises how mathematical ideas are interconnected and how these ideas can be applied to model situations mathematically.

There is a strong emphasis on logical reasoning and problem-solving and you will learn to use your mathematical skills and techniques to solve challenging problems. Most of the course involves using algebra and it covers topics such as trigonometry, co-ordinate geometry, differentiation and integration (calculus), and algebraic techniques and functions.

All students study statistics and mechanics. Statistics develops the skills required to interpret real data presented in summary or graphical form and helps us to draw conclusions about what the data shows. Mechanics allows us to describe and make predictions about how physical objects move and interact with each other involving ideas such as velocity, acceleration, force and mass which are central to understanding how the world works. The course assessment is entirely through examination.

A Level Mathematics prepare students for further study and employment in a wide range of disciplines involving the use of mathematics such as sciences, social sciences, engineering and business.

## Course content

**Paper 1: Pure Mathematics 1. **

**Written examination of 100 marks (2hrs). **

**Students will study the following topics: **

Proof

Algebra and functions

Coordinate geometry in the (x,y) plane

Sequences and series

Trigonometry

Exponentials and logarithms

Differentiation

Integration

Vectors

**Paper 2: Pure Mathematics 2. **

**Written examination of 100 marks (2hrs). **

**Students will study the following topics: **

Proof

Algebra and functions

Coordinate geometry in the (x,y) plane

Sequences and series

Trigonometry

Differentiation

Integration

Numerical methods

**Paper 3: Statistics and Mechanics. **

**Written examination of 100 marks (2hrs). **

**Students will study the following topics: **

**Section A: Statistics**

Statistical sampling

Data presentation and interpretation

Probability

Statistical distributions

Statistical hypothesis testing

**Section B: Mechanics**

Quantities and units in mechanics

Kinematics

Forces and Newtonâ€™s laws

Moments

## Entry requirements

GCSE Grade 6 or above in Mathematics. There will also be an entry test.

## Assessment

All students will be assessed on their knowledge of Pure Mathematics, Mechanics and Statistics. The assessment objectives include a greater emphasis on modelling, problem-solving and reasoning, so some questions are likely to be longer with less scaffolding. This builds on the increase in problem-solving in GCSE so students will be better prepared. The examinations will be taken at the end of the course rather than in modules and it is expected that questions will link different aspects of the course.

**Examination/Assessment for A-Level:
**

Three externally examined papers.

## How to apply

If you want to apply for this course, you will need to contact The Holy Cross School directly.