Term 1 | Y12 Further Maths Term 1 Core Pure | |
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An introduction to Complex Numbers
Further complex numbers, Loci and the Argand Diagram
Matrices;
Add, subtract and multiply conformable matrices.
Multiply a matrix by a scalar.
Understand and use zero and identity matrices.
Use matrices to represent linear transformations in 2-D.
Successive transformations.
Single transformations in 3-D.
Find invariant points and lines for a linear transformation. |
Assessment: Topic assessments on Complex Numbers and Matrices | Key Words and Terms |
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Term 2 | Y12 Further Maths Term 2 - Further Statistics 1 | |
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Poisson and binomial distributions (part 1)
Discrete probability distributions
Poisson and binomial distributions (part 2)
Chi squared tests |
Assessment: Each topic will be tested through a 50 minute assessment | Key Words and Terms |
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Term 3 | Y12 Further Maths Term 3 - Core Pure | |
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Roots of equations
Understand and use the relationships between the roots and coefficients of polynomial equations up to quartic equations.
Form a polynomial equation whose roots are a linear transformation of the roots of a given polynomial equation (of at least cubic degree).
Know that non-real roots of polynomial equations with real coefficients occur in conjugate pairs.
Solve cubic or quartic equations with real coefficients.
Sequences and series 1:
Summing series
Understand and use formulae for the sums of integers, squares and cubes and use these to sum other series.
Sequences and series 2:
Induction
Construct proofs using mathematical induction.
Contexts include sums of series, divisibility and powers of matrices. |
Assessment: Each topic is assessed through a 50 minute formal assessment task. | Key Words and Terms |
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Term 4 | Y12 Further Maths Term 4 - Further Mechanics 1 | |
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Momentum and impulse
Work, energy and power
Elastic collisions in one dimension |
Assessment: Each topic is assessed through a 50 minute test under formal conditions | Key Words and Terms |
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Term 5 | Y12 Further Maths Term 5 - Core Pure | |
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Vectors:
Equations of lines
The scalar product
Equations of planes
Further lines and planes
Calculus:
Volumes of revolution |
Assessment: Each topic is assessed through a 50 minute formal test. | Key Words and Terms |
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Term 6 | Y12 Further Maths Term 6 - Core Pure | |
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Complex Numbers
Hyperbolic functions
Polar coordinates |
Assessment: Each topic is assessed through a 50 minute formal test in class. | Key Words and Terms |
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