| Term 3 | Further Mechanics 1
Momentum and impulse (part 2)
Elastic strings and springs and elastic energy
Elastic collisions in two dimensions | |
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| • 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 |
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| Term 4 | Further Statistics 1
Geometric and negative binomial distributions
Hypothesis testing
The Central Limit Theorem
Chi squared tests
Probability generating functions
Quality of tests | |
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| • 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 |
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| Term 5 | Revision | |
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| Assessment: | Key Words and Terms |
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| Terms 1 and 2 | Core Pure 2 | |
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| 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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