Mathematics: Key Stage 5

Further Maths

	Date	Topic
Sept	Wk 1	Quadratic & simultaneous equations
		Linear & quadratic inequalities

	Wk 2	Graphs
		Straight lines and circles

	Wk 3	Binomial expansions

	Wk 4	Differentiation
Oct
	Wk 5	Integration

	Wk 6	Trigonometry

	Wk 7	Vectors

	Wk 8	HOLIDAYS
Nov
	Wk 9	Proof
		Exponentials and logarithms

	Wk 10	Complexnumbers

	Wk 11	Matrices

	Wk 12	Further algebra and functions
Dec
	Wk 13	Further vectors

	Wk 14	Further calculus & Polar coordinates

	Wk 15	Hyperbolic functions
		Proof

	Wk 16	HOLIDAYS

	Wk 17	HOLIDAYS
Jan
	Wk 18	Mock examinations and revision

	Wk 19	Mock examinations and revision

	Wk 20	Kinematics in one dimension

	Wk 21	Forces and Newton’s laws
Feb
	Wk 22	Statistical sampling
		Data presentation and interpretation

	Wk 23	Probability and statistical distributions
		Statistical hypothesis testing

	Wk 24	HOLIDAYS

	Wk 25	DRVs and expectation

Mar	Wk 26	Poisson distribution

	Wk 27	Type I and Type II errors

	Wk 28	CRVs
		Chi tests for association
		hypothesis testing
	Wk 29	Confidence intervals

Apr	Wk 30	Graphs and Networks	•Dimensional analysis

	Wk 31	HOLIDAYS

	Wk 32	HOLIDAYS

	Wk 33	Network flows	•Momentum and collisions
		Critical path analysis

	Wk 34	Linear programming	•Momentum and collisions

	Wk 35	Game theory for zero-sum games	•Work, energy and power
May
	Wk 36	Binary operations	•Circular motion

	Wk 37	REVISION AND MOCK EXAMS

	Wk 38	HOLIDAYS

Jun	Wk 39	REVISION AND MOCK EXAMS

	Wk 40	REVISION AND MOCK EXAMS

	Wk 41	REVISION AND MOCK EXAMS

	Wk 42	REVISION AND MOCK EXAMS
Jul
	Wk 43

	Wk 44

	Wk 45

	Wk 46

	Date	Topic
Sept	Wk 1	Binomial theorem, sequences and series

	Wk 2	Trigonometry and circular measure

	Wk 3	Functions and transformations

	Wk 4	Further differentiation
Oct
	Wk 5	Further integration

	Wk 6	Numerical methods

	Wk 7	Parametric equations

	Wk 8	HOLIDAYS
Nov
	Wk 9	Trigonometry

	Wk 10	Partial fractions and integration

	Wk 11	Differential equations

	Wk 12	Complex numbers 2

	Wk 13	Matrices 2
Dec
	Wk 14	Further algebra and functions 2

	Wk 15	Further vectors 2

	Wk 16	HOLIDAYS

	Wk 17	HOLIDAYS
Jan
	Wk 18	Mock examinations and revision

	Wk 19	Mock examinations and revision

	Wk 20	Further calculus
		Polar Coordinates 2

	Wk 21	Hyperbolic functions 2
Feb
	Wk 22	Differential equations 2

	Wk 23	Differential equations 2
		Numerical methods

	Wk 24	HOLIDAYS

	Wk 25	Kinematics in 2D
		Equilibrium and resolving

Mar	Wk 26	Statics and dynamics
		Moments

	Wk 27	Further probability
		Statistical distributions

	Wk 28	Further statistical hypothesis testing
		DRVs and expectation 2
		hypothesis testing
	Wk 29	Type I and Type II errors 2
		CRVs 2

Apr	Wk 30	HOLIDAYS

	Wk 31	HOLIDAYS

	Wk 32	Chi tests for association 2
		Exponential distribution

	Wk 33	Inference- one sample t-distribution
		Confidence intervals 2

	Wk 34	Graphs 2 & Network flows 2	•Dimensional analysis 2
		Critical path analysis	•Momentum and collisions 2
May
	Wk 35	Linear programming 2	•Work, energy and power 2
		Game theory for zero-sum games 2	•Circular motion 2

	Wk 36	Binary Operations and group theory	•Centres of mass and moments

	Wk 37	Summer Exams & revision

	Wk 38	HOLIDAYS

Jun	Wk 39	Summer Exams & revision

	Wk 40	Summer Exams & revision

	Wk 41	Summer Exams & revision

	Wk 42	Summer Exams & revision
Jul
	Wk 43

	Wk 44

	Wk 45

	Wk 46