A-level Mathematics for Year 12 - Course 1: Algebraic Methods, Graphs and Applied Mathematics Methods
- 0.0
7 Weeks
$
49
Brief Introduction
Develop your thinking skills, fluency and confidence to aim for an A* in A-level maths and prepare for undergraduate STEM degrees.Description
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.
Knowledge
- 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
- UnderstandÂ
- 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