Term 1  Y12 Further Maths Term 1 Core Pure  

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 2D.
Successive transformations.
Single transformations in 3D.
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 nonreal 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 

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  

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 

Term 6  Y12 Further Maths Term 6  Core Pure  

Complex Numbers
Hyperbolic functions
Polar coordinates

Assessment: Each topic is assessed through a 50 minute formal test in class.  Key Words and Terms 
