Congleton High School  

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

Topic

Objectives

J

K

L

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

 

 

 

Co-ordinate

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

 

 

 

Differentiation

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

 

 

 

Integration

Indefinite integration as the reverse of differentiation

 

 

 

Integration of

 

 

 

                           Assessment 6        %       Grade

 

 

 

Mock

 

 

 

 

 

Login
Forgotten password?
Having trouble logging in?