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Mathematics AS level at Carnforth High School

Course description

We aim to encourage students to develop lively, enquiring minds; to be capable of independent thought and to enjoy Mathematics through problem solving and perseverance.

Course content

Core 1

Students will: learn about quadratic functions and polynomials, they will use the factor theorem and the remainder theorem. They will study co-ordinate geometry, tangents and normals and the equations of both a straight line and of a circle. An introduction to calculus will include differentiation and integration and stationary points on a curve.

Core 2

Students will: learn about transformation’s of functions, sequences and series, the sigma notation, both arithmetic and geometric progressions and their sums. An introduction to further trigonometry will include the use of radians and solving trigonometric equations. Logarithms will be introduced and students will be expected to solve equations using logarithms. Calculus will be extended to second derivatives and area under a curve.


Students will: learn about mode, median, mean, standard deviation, and variance, about conditional probability. They will study both the normal and the binomial distributions and calculate probabilities from these. They will learn about sampling, the central limit theorem and confidence intervals. They also study correlation and regression.

Entry requirements

5 A*-Cs at GCSE including GCSE English and/or Mathematics. 

Grade B in Mathematics


Students will sit an exam for each unit. The Core 1 unit is the only unit assessed without a calculator. Each paper lasts 1 hour 30 minutes.

Financial information

It is important that all Maths students attend lessons with a pencil, blue or black ball point pen, a ruler, a scientific calculator and preferably a protractor and pair of compasses.

How to apply

If you want to apply for this course, you will need to contact Carnforth High School directly.

Last updated date: 05 December 2016
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