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6th Form Curriculum Guide - Year 13 Further Maths
Term 3Further Mechanics 1 Momentum and impulse (part 2) Elastic strings and springs and elastic energy Elastic collisions in two dimensions   
• Momentum as a vector (i, j problems) • Impulse-momentum principle in vector form • Hooke’s law and definition of modulus of elasticity. Derivation of elastic potential energy formula. • Problem solving: equilibrium and using the work-energy principle • Oblique impact of a smooth sphere with a fixed surface Successive oblique impacts of a sphere with smooth plane surfaces • Oblique impact of two smooth spheres of equal radius
Assessment: Each topic is assessed through a 50 minute internal test. Assessment of Further Mechanics 1 is through a 90 minute exam at the end of the course, contributing 25% of the Further Mathematics A level.Key Words and Terms
 
Term 4Further Statistics 1 Geometric and negative binomial distributions Hypothesis testing The Central Limit Theorem Chi squared tests Probability generating functions Quality of tests   
• The geometric distribution, its mean and variance • The negative binomial distribution, its mean and variance • Hypothesis test for the parameter p of a geometric distribution • Applications of the Central Limit Theorem • Chi squared tests • Definitions, derivations, applications and use to find the mean and variance • Use of the probability generating function for the negative binomial, geometric, binomial and Poisson distributions • Probability generating function of the sum of independent random variables • Type I and Type II errors • The size and power of a test • The power function
Assessment: Assessment takes place though 50 minute internal topic tests. Further Statistics 1 is assessed through a 90 minute exam at the end of Y13, contributing 25% towards the Further Maths A level.Key Words and Terms
 
Term 5Revision
Assessment: Key Words and Terms
 
Terms 1 and 2Core Pure 2  
Complex numbers Hyperbolic functions Polar coordinates Further algebra and functions (series) Further calculus Differential equations
Assessment: Core Pure 2 is assessed in a 90 minute exam at the end of Y13, ,worth 25% of the A level. Key Words and Terms
 

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