**Module 1Indices and Surds**

- Recognise and use the laws of indices for all rational exponents
- Use and manipulate surds, including rationalising the denominator
- Solve a variety of problems that include surds and indices

**Module 2 Inequalities**

- Solve linear and quadratic inequalities in a single variable and interpret these solutions graphically
- Express the solutions to linear and quadratic inequalities usingnumber lines and inequality notation, and using the terms ‘and’and ‘or’and set notation
- Represent linear and quadratic inequalities in two variables graphically, using standard A-level conventions

**Module 3 The Factor Theorem & Algebraic Division**

- Manipulate polynomials algebraically, using the factor theorem to write a polynomial as the product of linear factors or a combination of linear and quadratic factors
- Divide one polynomial by another of a lower order by equating coefficients

**Module 4Coordinate Geometry**

- Solve problems using the coordinate geometry of the circle
- Complete the square to find the centre and radius of a circle from its equation
- Solve problems using the properties of the angle in a semicircle, the perpendicular from the centre to a chord, and a tangent from a poin

**Module 5 Graphical Transformation and Curve Sketching**

- Use curve sketching techniques based on the the shapes and symmetries of standard curves
- Identify key features of a curve from its equation and transform the equations of linear, quadratic, rational and trigonometrical curves using translations, rotations and stretches
- Use knowledge of the symmetry and asymptotes of standard curves to create sketches

**Module 6 An Introduction to Mechanics**

- Interpret and accurately use the term distance, speed, displacement, velocity, and acceleration
- Interpret graphs to do with speed against time, distance against time, velocity against time and acceleration against time, and solve problems involving motion in a straight line with constant acceleration
- Apply the formulae for constant acceleration to solve problems involving motion in a straight line

**Module 7 An Introduction to Statistics**

- Identify the ideas of a population and a sample and use simple sampling techniques to draw informal inferences about populations
- Apply critical thinking to issues of representative sampling
- Interpret histograms to draw informal inferences about univariate data
- Interpret scatter diagrams, regression lines and the ideas of correlation to draw informal inferences about bivariate data