|Term 1||Y12 Further Maths Term 1 Core Pure|| |
|An introduction to Complex Numbers
Further complex numbers, Loci and the Argand Diagram
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.
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|
|Term 2||Y12 Further Maths Term 2 - Further Statistics 1|| |
|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|
|Term 3||Y12 Further Maths Term 3 - Core Pure|| |
|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:
Understand and use formulae for the sums of integers, squares and cubes and use these to sum other series.
Sequences and series 2:
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|
|Term 4||Y12 Further Maths Term 4 - Further Mechanics 1|| |
|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|
|Term 5||Y12 Further Maths Term 5 - Core Pure|| |
Equations of lines
The scalar product
Equations of planes
Further lines and planes
Volumes of revolution
|Assessment: Each topic is assessed through a 50 minute formal test.||Key Words and Terms|
|Term 6||Y12 Further Maths Term 6 - Core Pure|| |
|Assessment: Each topic is assessed through a 50 minute formal test in class.||Key Words and Terms|