AS and A level Mathematics

AS and A level Mathematics

AS and A level specifications in mathematics must encourage students to:

  • understand mathematics and mathematical processes in a way that promotesconfidence, fosters enjoyment and provides a strong foundation for progress tofurther study
  • extend their range of mathematical skills and techniques
  • apply mathematics in other fields of study and be aware of the relevance ofmathematics to the world of work and to situations in society in general
  • use their mathematical knowledge to make logical and reasoned decisions insolving problems both within pure mathematics and in a variety of contexts,and communicate the mathematical rationale for these decisions clearly
  • reason logically and recognise incorrect reasoning
  • generalise mathematically
  • construct mathematical proofs
  • use their mathematical skills and techniques to solve challenging problemswhich require them to decide on the solution strategy
  • recognise when mathematics can be used to analyse and solve a problem incontext
  • represent situations mathematically and understand the relationship betweenproblems in context and mathematical models that may be applied to solvethem
  • draw diagrams and sketch graphs to help explore mathematical situations andinterpret solutions
  • make deductions and inferences and draw conclusions by using mathematicalreasoning
  • interpret solutions and communicate their interpretation effectively in thecontext of the problem
  • read and comprehend mathematical arguments, including justifications ofmethods and formulae, and communicate their understanding•read and comprehend articles concerning applications of mathematics andcommunicate their understanding
  • use technology such as calculators and computers effectively and recognisewhen such use may be inappropriate

Subject content

  1. Proof
  2. Algebra and functions
  3. Coordinate geometry in the (x,y) plane
  4. Sequences and series
  5. Trigonometry
  6. Exponentials and logarithms
  7. Differentiation
  8. Integration
  9. Numerical methods
  10. Vectors
  11. Statistical sampling
  12. Data presentation and interpretation
  13. Probability
  14. Statistical distribution
  15. Statistical hypothesis testing
  16. Quantities and units in mechanics
  17. Kinematics
  18. Forces and Newton’s laws
  19. Moment

AS and A level subject content sets out the knowledge, understanding and skills common to all AS and A level specifications in mathematics.

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