Mathematics - Step up Programme

Session 1 - Differentiation:

Starting wth a recap of graph drawing and gradient questions from GCSE, this topic builds on this knowledge for A-Level differentiation, looking at gradients of different graphs, investigating the tangents of these graphs at different points and deriving the differentiation rules then practicing on a variety of questions.

Session 2 - Algebraic Fractions:

Starting wth a recap of simplifying fractions from GCSE, this topic builds on this knowledge for A-Level algebraic fractions, starting with simplifying fractions with unknown terms in, to factorising numerators and denominators and cancelling, to using the difference of two squares when applicable.

Session 3 - Sequences:

Starting wth a recap of nth term questions from GCSE, this topic builds on this knowledge for A-Level arithmetic sequences, by using the nth term formula and the sum formula, and applying them to questions, with proof of these formula if there is time.

Session 4 - Algebraic Long Division:

Starting wth a recap of long division from GCSE, this topic builds on this knowledge for A-Level algebraic long division, starting with a linear into a quadratic and building into a linear into a cubic or higher power with factors and remainders if there is time.