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Professional Course

A-level Mathematics for Year 12 - Course 1

edX, Online
Length
7 weeks
Price
49 USD
Next course start
Start anytime See details
Delivery
Self-paced Online
Length
7 weeks
Price
49 USD
Next course start
Start anytime See details
Delivery
Self-paced Online
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Course description

A-level Mathematics for Year 12 - Course 1: Algebraic Methods, Graphs and Applied Mathematics Methods

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.

Upcoming start dates

1 start date available

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  • Self-paced Online
  • Online
  • English

Training content

Syllabus

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

Course delivery details

This course is offered through Imperial College London, a partner institute of EdX.

2-4 hours per week

Costs

  • Verified Track -$49
  • Audit Track - Free

Certification / Credits

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

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