Year 12 Curriculum  Maths
Pure Mathematics
Unit 
Title 
Estimated lessons 


Algebra and functions 


a 
Algebraic expressions – basic algebraic manipulation, indices and surds 
3 

b 
Quadratic functions – factorising, solving, graphs and the discriminants 
4 

c 
Equations – quadratic/linear simultaneous 
4 

d 
Inequalities – linear and quadratic (including graphical solutions) 
5 

e 
Graphs – cubic, quartic and reciprocal 
5 

f 
Transformations – transforming graphs – f(x) notation 
5 

2 

Coordinate geometry in the (x, y) plane 

a 
Straightline graphs, parallel/perpendicular, length and area problems 
6 

b 
Circles – equation of a circle, geometric problems on a grid 
7 

3


Further algebra 

a 
Algebraic division, factor theorem and proof 
8 

b 
The binomial expansion 
7 

4


Trigonometry 

a 
Trigonometric ratios and graphs 
6 

b 
Trigonometric identities and equations 
10 

5


Vectors (2D) 

a 
Definitions, magnitude/direction, addition and scalar multiplication 
7 

b 
Position vectors, distance between two points, geometric problems 
7 

6


Differentiation 

a 
Definition, differentiating polynomials, second derivatives 
6 

b 
Gradients, tangents, normals, maxima and minima 
6 

7


Integration 

a 
Definition as opposite of differentiation, indefinite integrals of x^{n} 
6 

b 
Definite integrals and areas under curves 
5 

8 

Exponentials and logarithms: Exponential functions and natural logarithms 
12 


120 hours 
Applied Mathematics  Mechanics and Statistics
Unit 
Title 
Estimated hours 

1 

Statistical sampling 

a 
Introduction to sampling terminology; Advantages and disadvantages of sampling 
1 

b 
Understand and use sampling techniques; Compare sampling techniques in context 
2 

2 

Data presentation and interpretation 

a 
Calculation and interpretation of measures of location; Calculation and interpretation of measures of variation; Understand and use coding 
4 

b 
Interpret diagrams for singlevariable data; Interpret scatter diagrams and regression lines; Recognise and interpret outliers; Draw simple conclusions from statistical problems 
8 

3 

Probability: Mutually exclusive events; Independent events 
3 
4 

Statistical distributions: Use discrete distributions to model realworld situations; Identify the discrete uniform distribution; Calculate probabilities using the binomial distribution (calculator use expected) 
5 
5 

Statistical hypothesis testing 

a 
Language of hypothesis testing; Significance levels 
2 

b 
Carry out hypothesis tests involving the binomial distribution 
5 


30 hours 

6


Quantities and units in mechanics 

a 
Introduction to mathematical modelling and standard S.I. units of length, time and mass 
1 

b 
Definitions of force, velocity, speed, acceleration and weight and displacement; Vector and scalar quantities 
2 

7


Kinematics 1 (constant acceleration) 

a 
Graphical representation of velocity, acceleration and displacement 
4 

b 
Motion in a straight line under constant acceleration; suvat formulae for constant acceleration; Vertical motion under gravity 
6 

8


Forces & Newton’s laws 

a 
Newton’s first law, force diagrams, equilibrium, introduction to i, j system 
4 

b 
Newton’s second law, ‘F = ma’, connected particles (no resolving forces or use of F = μR); Newton’s third law: equilibrium, problems involving smooth pulleys 
6 

9 

Kinematics 2 (variable acceleration) 

a 
Variable force; Calculus to determine rates of change for kinematics 
4 

b 
Use of integration for kinematics problems i.e. 
3 


30 hours 