**ALGEBRA AND FUNCTIONS**

Laws of indices

Surds

Quadratic functions and graphs

Discriminants

Completing the square

Solving quadratic equations

Simultaneous equations including quadratics

Solving linear and quadratic inequalities

Algebraic manipulation of polynomials

Sketching curves

Curve transformations

**COORDINATE GEOMETRY IN THE (x, y) PLANE**

Equation of a straight line

Gradient of a straight line

Length of a line

Midpoint of a line

Equations of parallel lines

Equations of perpendicular lines

**SEQUENCES AND SERIES**

Equations of the nth term

Reccurence relations

Arithmetic series

**DIFFERENTIATION**

Differentiating powers of x

Using differentiation to find the gradient at a point

Using differentiation to find equations of tangents

Using differentiation to find equations of normals

**INTEGRATION**

Integration of powers of x

Finding the equation of a curve given its derivative