AS-Level Maths for Edexcel: Statistics 1. PRESENTATION CONTENT. S1.1.
Representation and summary of data. Simple graphical representations of data:.
AS-Level Maths for Edexcel: Core 1 PRESENTATION
CONTENT
C1.1 Algebra and Using and manipulating surds, rationalizing functions 1 the denominator, the index laws, zero and negative indices, fractional indices, solving equations involving indices. C1.2 Algebra and Quadratic expressions, factorizing quadratics, functions 2 completing the square, solving quadratic equations, the discriminant, graphs of quadratic functions. C1.3 Algebra and Linear simultaneous equations, simultaneous functions 3 equations involving one linear and one quadratic equation, linear inequalities, quadratic inequalities, polynomials. C1.4 Algebra and Plotting and sketching graphs, graphs of functions 4 functions, using graphs to solve equations, transforming graphs of functions. C1.5 Coordinate geometry
The distance between two points, the midpoint of a line segment, calculating the gradient of a straight line, the equation of a straight line, parallel and perpendicular lines.
C1.6 Sequences and series
Sequences, the formula for the nth term, recurrence relations, arithmetic sequences, arithmetic series, the sum of the first n natural numbers, the sum of an arithmetic series, using Σ notation.
C1.7 Differentiation
Rates of change, the gradient of the tangent at a point, the gradient of the tangent as a limit, differentiation of polynomials, second order derivatives, tangents and normals.
C1.8 Integration
Reversing the process of differentiation, indefinite integration, rewriting expressions before integrating, finding the constant of integration given a point.
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AS-Level Maths for Edexcel: Core 2 PRESENTATION
CONTENT
C2.1 Algebra and Dividing polynomials, The Remainder functions Theorem, The Factor Theorem. C2.2 Coordinate geometry
The equation of a circle, using circle properties, tangents and normals.
C2.3 Sequences and series
Geometric sequences, geometric series, the sum to infinity of a geometric series, binomial expansions.
C2.4 Trigonometry 1
The sine, cosine and tangent of any angle, the graphs of sin θ, cos θ and tan θ, exact values of trigonometric functions, trigonometric equations, trigonometric identities.
C2.5 Trigonometry 2
The sine rule, the cosine rule, the area of a triangle using ½ ab sinC, degrees and radians, arc length and sector area, solving equations using radians.
C2.6 Exponentials Exponential functions, logarithms, the laws of and logarithms logarithms, solving equations using logarithms. C2.7 Differentiation
Increasing and decreasing functions, stationary points, second order derivatives, optimization problems.
C2.8 Integration
Evaluating definite integrals, the area under a curve, the trapezium rule.
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AS-Level Maths for Edexcel: Mechanics 1 PRESENTATION
CONTENT
M1.1 Mathematical modelling
The modelling process, terminology, examples of models, SI units.
M1.2 Vectors in mechanics
Definition of a vector, magnitude of a vector, unit vectors, multiplying vectors, addition and subtraction of vectors.
M1.3 Kinematics
Motion graphs, formulae for constant acceleration.
M1.4 Dynamics 1
Newton’s laws of motion, applying Newton’s laws, momentum, impulse, the principle of conservation of momentum.
M1.5 Dynamics 2
Pulleys, internal and external forces, towing, friction on a moving particle.
M1.6 Statics of a particle
Types of force, resolving forces, particles in equilibrium, friction.
M1.7 Moments
Calculating moments, uniform and nonuniform rods, tilting.
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AS-Level Maths for Edexcel: Statistics 1 PRESENTATION
CONTENT
S1.1 Representation and summary of data
Simple graphical representations of data: histograms, stem-and-leaf diagrams, quartiles and box plots. Outliers, cumulative frequency diagrams and linear interpolation.
S1.2 Calculating means and standard deviations
Calculating means, calculating standard deviations, coding.
S1.3 Probability
Probability basics and notation, estimating probability, addition properties, independent events, conditional probability.
S1.4 Correlation and regression
Scatter graphs, types of correlation, lines of best fit, product–moment correlation coefficients, the effects of coding on correlation, regression.
S1.5 Discrete Introduction to discrete random variables, random variables cumulative distribution functions, expectation, variance and standard deviation for random variables, discrete uniform distribution, expectation algebra – some key results. S1.6 The Normal distribution
Introduction to Normal distribution, the standard normal distribution, more general normal distributions, solving problems by working backwards.
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