A-level Mathematics for Year 12 - Course 1

This course by Imperial College London is designed to help you develop the skills you need to succeed in your A-level maths exams.

You will investigate key topic areas to gain a deeper understanding of the skills and techniques that you can apply throughout your A-level study. These skills include:

Fluency – selecting and applying correct methods to answer with speed and efficiency

Confidence – critically assessing mathematical methods and investigating ways to apply them

Problem solving – analysing the ‘unfamiliar’ and identifying which skills and techniques you require to answer questions

Constructing mathematical argument – using mathematical tools such as diagrams, graphs, logical deduction, mathematical symbols, mathematical language, construct mathematical argument and present precisely to others

Deep reasoning – analysing and critiquing mathematical techniques, arguments, formulae and proofs to comprehend how they can be applied

Over seven modules, your initial skillset will be extended to give a clear understanding of how background knowledge underpins the A

-level course. You’ll also be encouraged to consider how what you know fits into the wider mathematical world.

What you'll learn

• Improve fluency and accuracy when using laws of indices and surds in a variety of calculations
• Learn how to solve the types of inequalities you'll encounter at A-level and various ways to represent these
• Discover how to divide any polynomial by either a linear or quadratic polynomial
• Learn about the information found in different forms of the Cartesian equation of a circle and use these to solve coordinate geometry problems
• Investigate the main transformations of graphs; translation, enlargement and reflection, and use these transformations to sketch new graphs
• Understand the constant acceleration formulae through travel graphs illustration, speed, velocity, distance and displacement against time
• Explore statistical sampling methods and weigh up the advantages and disadvantages of each one
• Learn how to interpret data presented in a variety of forms including box plots, cumulative frequency curves, histograms and bar charts