AQA Core 2
13.1 Algebra and functions 
Laws of indices for all rational exponents 
Knowledge of the effect of simple transformations on the graph y = f(x) as represented by y = af(x) y = f(x) +a y = f(x + a) y = f(ax) Expected to use the terms reflection, translation and stretch in the x or y direction in their descriptions of these transformation Eg y = sin 2x y= cos(x + 30°) Y = 2 ^{x+3} y = 2 ^{–x} Descriptions involving combinations of more than one transformation will not be tested. 
13.2 Sequences and Series 
Sequences , including those given by a formula for the nth term Position to term formulae 
Sequences generated by a simple relation of the form x _{n+1} = f(x_{n}) Iterative formulae To include their use in finding of a limit L as n à ¥ by putting L = f(L) 
Arithmetic series, including the formula for the sum of the first n natural numbers To include the å notation for sums of series 
The sum of a finite geometric series 
The sum to infinity of a convergent ( 1<r<1 ) geometric series Should be familiar with the notation êr ê < 1 in this context 
The binomial expansion of ( a + b)^{n} for positive integer n Should be familiar with the notation n ! and [n] r Use of Pascal’s triangle or formulae to expand ( a + b)^{n} will be accepted 
The binomial expansion ( 1 + x ) ^{n }for positive integer n 
13.3 Trigonometry 
The sine and cosine rules 
The area of a triangle in the form ½ab sin C Degree and radian measure 
Sector arc length and area Knowledge of the formulae l = rθ Area = ½ r^{2} θ 
Sine, cosine and tangent functions Their graphs, symmetries and periodicity Concepts of odd and even functions are not required 
Knowledge and use of Tan θ = Sin θ sin^{2} θ + cos^{2 }θ = 1 Cos θ 
Solution of simple trigonometric equations in a given interval of degrees or radians Max level of difficulty ; Sin 2θ =  0.4 Sin (θ  20°) = 0.2 2Sin θ – cos θ = 0 2 sin^{2} θ + 5 cos θ = 4 
13.4 Exponentials and logarithms 
y = a^{x} and its graph Using the laws of indices where appropriate 
Logarithms and the laws of logarithms log_{a} x + log_{a}y = log_{a} (xy) log_{a}x – log_{a}y = log_{a} (x/y) klog _{a}x = log_{a} (x^{k})
The equivalence of y = a^{x} and x = log_{a}y 
The solution of equations of the form a^{x} = b Use of a calculator logarithm function to base 10 ( or base e) to solve for example 3 ^{2x} =2 
13.5 Differentiation 
Differentiation of x^{n}, where n is a rational number, and related sums and differences Eg x ^{3/2} + 3 including terms which X^{2 } Can be expressed as a single power such as xÖ x Applications to techniques included in Core 1 
13.6 Integration 
Integration of x^{n} , n is a rational number and n ≠ 1 also related sums and differences Expressions such as x ^{3/2} + 2x ^{1/2} Or x + 2 = x ^{½} + 2x ^{– 1//2} Öx

Approximation of the area under a curve using the trapezium rule The term ‘ordinate’ will be used. To include a graphical determination of whether the rule over or under estimates the area and improvement of an estimate by increasing the number of steps.

