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Analysis and Approaches


In this course, students study a wide range of literary and non-literary texts in a variety of media. By examining communicative acts across literary form and textual type alongside appropriate secondary readings, students will investigate the nature of language itself and the ways in which it shapes and is influenced by identity and culture. Approaches to study in the course are meant to be wide ranging and can include literary theory, sociolinguistics, media studies and critical discourse analysis among others.

What will I study?

Both Higher Level and Standard Level students will study:

  • Algebraic concepts including sequences and series, exponents and logarithms and the binomial theorem, and some of their applications in finance and modelling
  • Communicating formal proofs
  • Concepts related to functions, including their graphical behaviour, and specific properties of quadratic, rational and exponential functions
  • Trigonometry, using radians and degrees, including trigonometric equations and identities
  • Data presentation, univariate and bivariate statistics, including regression and correlation
  • Probability, including the binomial and normal distributions and conditional probability
  • Differential and integral calculus, including some of its applications in geometry

Higher Level students will additionally cover:

  • Further algebraic concepts including partial fractions, counting principles and systems of linear equations
  • Proof by induction and contradiction, and disproof by counterexample
  • The factor and remainder theorems and properties of polynomialsFurther properties of functions, including rational functions with quadratic numerators or denominators and methods for solving modulus equations and inequalities
  • Complex numbers, including their geometric interpretation, complex roots of polynomials and powers and roots of complex numbers
  • Further trigonometric identities and properties of trigonometric graphs
  • Vector algebra and its use in proving geometrical properties
  • Vector equations of lines and planes
  • Further probability including Bayes’ theorem, probability density functions and algebra of expectation
  • Further calculus concepts including continuity and differentiability and the properties of series, including Maclaurin series
  • Additional methods for integration and the solution of first-order differential equations

Entry Requirements

Standard Level - GCSE Mathematics at Grade 7 and above

Higher Level - GCSE Mathematics at Grade 8 and above

For further information

Please contact Adam Biltcliffe: adam.biltcliffe@parksidecc.org.uk

 

“With a small class size, comprehensive teacher feedback, and an engaging course, A&A Maths has allowed me to develop my skills and knowledge. This will be useful for me in the future, no matter what path I take.”

Isla

“Maths at Parkside is very engaging and the enthusiasm shown by our teachers inspires further exploration beyond IB topics.”

Anisa