Bristol Free School

Terms 1 and 2: Core Pure 2

Complex numbers

Hyperbolic functions

Polar coordinates

Further algebra and functions (series)

Further calculus

Differential equations

Core Pure 2 is assessed in a 90 minute exam at the end of Y13, ,worth 25% of the A level.

Spiritual
Moral
Social
Cultural

Develop the individual:

Create a supportive community:

Term 3: Further 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

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.

Spiritual
Moral
Social
Cultural

Develop the individual:

Create a supportive community:

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

• 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 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.

Further Maths — Year 13

Terms 1 and 2: Core Pure 2

Develop the individual:

Create a supportive community:

Term 3: Further Mechanics 1 Momentum and impulse (part 2) Elastic strings and springs and elastic energy Elastic collisions in two dimensions

Develop the individual:

Create a supportive community:

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

Develop the individual:

Create a supportive community:

Term 5: Revision

Develop the individual:

Create a supportive community:

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