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De85 said:
So I can get a sense of how the courses line up with American classes, what topics do you cover in Maths and Further Maths?

 

Formulas and Equations
Inequalities
Graphs
Quadratic Equations
Sequences
Collecting Data
Averages
Representing Data
Probability
Number (long multiplication and division, negatives, estimations, rounding, truncating, etc)
Fractions, Decimals, and Equations
Factors, Powers and Roots
Shapes
Coordinates, Transformations and Vectors
Calculating Lengths, Areas, and Angles
Measurments

That's the standard maths course at GCSE (years 10 and 11), I got the list of headings from the BBC, to find out more about each section go here: http://www.bbc.co.uk/schools/gcsebitesize/maths/