Congleton High School  

Congleton High School > Curriculum Areas > Mathematics > KS5 > C1 > Schedule






Algebra 1a

Laws of indices for all rational exponents.




Use and manipulation of surds.





               Assessment 1a        %       Grade




  Algebra 1b

Algebraic manipulation of polynomials, including expanding brackets and collecting like terms, and factorisation.




Quadratic functions and their graphs.




The discriminant of a quadratic function.




Completing the square. Solution of quadratic equations.




                             Assessment 1b        %       Grade




Algebra 2

Solution of linear and quadratic inequalities.




Simultaneous equations (analytical solution by substitution)




Graphs of functions; sketching curves defined by simple equations.




Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations.




Knowledge of the effect of simple transformations on the graph of as represented by   , , ,




                            Assessment 2         %       Grade





geometry in the (x,y) plane


Equation of a straight line in forms ,  and




Conditions for straight lines to be parallel or perpendicular




                            Assessment 3         %       Grade




Sequences and series

Sequences, including those given by a formula for the nth term and those generated by a simple relation in the form




Arithmetic series (incl. formula for sum of first n natural numbers)




Understanding of ő£ notation.




                           Assessment 4        %       Grade





The derivative of  as the gradient of the tangent to the graph of  at a point; the gradient of the tangent as a limit; interpretation as a rate of change. Second order derivatives.




Differentiation of  and related sums and differences.




Applications of differentiation to gradients, tangents and normals.




                           Assessment 5        %       Grade





Indefinite integration as the reverse of differentiation




Integration of




                           Assessment 6        %       Grade










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