mathematics & further mathematics

4
MATHEMATICS & FURTHER MATHEMATICS A-LEVEL SIXTH FORM CENTRE IPSWICH NORTHGATE

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Page 1: MATHEMATICS & FURTHER MATHEMATICS

MATHEMATICS & FURTHER MATHEMATICSA-LEVEL

SIXTH FORMCENTRE

IPSWICH

NORTHGATE

Page 2: MATHEMATICS & FURTHER MATHEMATICS

OCR A Level Mathematics and Further Mathematics

Entry requirements: Grade 7 GCSE MathematicsThis is a two-year course leading to two A Levels. The course is taught as a wholly separate class from single subject A Level Mathematics. Students will complete A Level Mathematics in Year 12 and A Level Further Mathematics in Year 13. The pace and depth make it suitable for those with a strong mathematical background. An eagerness to explore mathematics with detail and rigour is a prerequisite.

A Level Mathematics will be terminally examined at the end of Year 12 with three equally weighted 2-hour written exams: Paper 1: Pure Mathematics Paper 2: Pure Mathematics and Statistics Paper 3: Pure Mathematics and Mechanics

A Level Further Mathematics will be examined with four equally weighted 1½-hour written exams at the end of Year 13: Pure Core 1 – Compulsory Pure Core 2 – Compulsoryand two from the following three Statistics Mechanics Additional Pure Mathematics

Teaching methods will be variable and will include traditional and investigational methods. Students will do both individual and group work. There is no coursework element but regular homework assignments will be set. The use of advanced graphical programmable calculators and computing facilities will be encouraged. All students will need a calculator that will allow them to access probabilities from the binomial and normal distributors.

A high proportion of double-Mathematics students gain entry to Oxford and Cambridge Colleges to do Mathematics or other degrees. Further Mathematics is required for students hoping to study Mathematics at Oxford or Cambridge and advantageous to those wishing to study Computer Science, Engineering or Economics. Further Mathematics is desirable but not essential for a Mathematics degree at any university.

Curriculum Leader: Miss C King

Page 3: MATHEMATICS & FURTHER MATHEMATICS

Pure Mathematics Indices and surds Quadratics and polynomials Coordinate geometry and graphs Differentiation, including chain rule Integration, including trig functions and integration by parts

and substitution Further trigonometry Sequences and series Modulus function Exponentials and logarithms Numerical methods Algebra and graphs, including partial fractions and parametric equations First order differential equations Vectors ProofStatistics Representation of data Sampling Probability Discrete random variables Binomial and normal distribution Hypothesis testing Bivariate data Analysis of the Large Data Set (provided by the exam board prior to

the exam)Mechanics Force as a vector Equilibrium of a particle Kinematics of motion in a straight line Forces and Newton’s laws Non-uniform acceleration Projectiles MomentsFurther Mathematics – Compulsory Pure Mathematical Induction Summation of series Complex numbers, including Argand diagrams and De Moivre’s theorem Matrices Vectors, including scalar and vector products Roots of polynomial equations Hyperbolic functions

TWO YEAR A LEVEL

Page 4: MATHEMATICS & FURTHER MATHEMATICS

Further calculus, including Maclaurin series, volumes of revolution and inverse trig and hyperbolic functions

Polar coordinates Differential equations, including second order DEs and integrating factor Simple harmonic motion and damped oscillations

Further Mathematics – Statistics The geometric distribution The Poisson distribution Continuous random variables Linear combination of random variables c² tests Normal approximations Non-parametric tests Correlation

Further Mathematics – Mechanics Work, energy and power Hooke’s law Impulse and momentum Centre of mass Motion in a circle Linear motion under a variable force Equilibrium of a rigid body under coplanar forces

Further Mathematics – Additional Pure Mathematics Sequences and series, including Fibonacci and Lucas numbers and r

ecurrence systems Number theory, including Euclid’s lemma and Fermat’s little theorem Groups, including Lagrange’s theorem Vector products Surfaces and partial differentiation, including tangent planes Further calculus, including arc lengths and surface areas and t substitution

Since grade A* was introduced in 2010,

over 50% of our Further Mathematics students have achieved an

A or A* grade in Further Mathematics

Please note, this does not include any data from Summer 2021

Sidegate Lane, Ipswich, Suffolk, IP4 3DL | www.northgatesixthform.co.uk Tel: 01473 210123 | E-mail: [email protected]

NorthgateSixthFormIpswich | northgatesixthform @northgatesixthform | @Northgatehighandsixthformipswich