# A-Level Maths C1 Module

The C1 Module consists of the following topic areas: Algebra & Functions, Quadratics, Equations & Inequalities, Curve Sketching, Coordinate Geometry, Sequences & Series, Differentiation and Integration. We have designed our C1 worksheets so that each question corresponds to each of the topic areas and the questions increase in difficulty from worksheet to worksheet. See below for a description of each of the topic areas or…

1. Algebra & Functions – Some of this material is repeated and expanded on from GCSE. This will include the various kinds of factorising, composite powers, simplifying surds and rationalising denominators.
2. Quadratics – After studying quadratics, you must be able to factorise, complete the square, find discriminants and apply knowledge of discriminants in finding the number of roots the quadratic has. You will also be required to find roots using these methods and combine this knowledge in order to sketch the graphs of quadratics.
3. Simultaneous Equations & Inequalities – in this section you will learn to solve simultaneous equations, inequalities and even simultaneous inequalities.
4. Curve Sketching – as well as being able to sketch quadratics, you will also be taught to sketch cubics by identifying roots and understanding the general shape a cubic will take. You may also be asked to apply transformations to a given graph and also sketch and apply transformations to the graph of $\frac{1}{x}$ looks like.
5. Coordinate Geometry – here you will be taught to find the equation of a straight line given two points, find the midpoint of a line segment or find the length of a line segment. You must have a good understanding of where lines cross axes and how to find a gradient and what makes two lines parallel or perpendicular.
6. Sequences & Series – you will learn what the nth term or what the sum of the first n term is for an arithmetic sequence. You may also be asked similar questions for non-arithmetic sequences where the nth term is defined recursively. You must also be familiar with sigma, $\sum$, notation and how to use it.
7. Differentiation – know how to differentiate, possibly more than once. Understand that the derivative allows you to find gradients and be prepared to use it in questions where the equation of a tangent or normal is required.
8. Integration – know how to integrate and use it to find the equation of a curve given its derivative and find the integration constant when a point on the curve is known.