Sequences 1	Simultaneous equations 1: Linear	Algebraic Fractions
Solving equations	Expanding brackets	Functions
Word problems	Factorising	More Functions
Drawing graphs	Changing subject of formula	Direct & Inverse Variation
Straight line graphs	Interpreting graphs	Index Rules
Length, midpoint & gradient	Difference of Two Squares	Inequalities
Graphic solutions	Quadratic Equations	Linear Programming
Sequences 2: n’th term	Simultaneous Equations 2: Nonlinear	Differentiation

Now that we have moved up a level from key stage 3 to key stage 4, algebra becomes the most central part of mathematics, replacing number as being the topic where we will develop the most. Although, as you know, they are in many ways the same topic – algebra is a more general form of number, where instead of doing calculations with numbers, we do calculations with letters, knowing that each of these letters can be used to represent different numbers.

We combine our study of algebra with a study of graphs, or cartesian geometry, which is the special way in which we relate algebra to geometry. We will often alternate between talking about points with an x-coordinate and a y-coordinate and equations that relate x and y.