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AS Level Mathematics Curriculum

Key topics to be taught this year:

Autumn Term Topic Further details about the topic
1
Ch1: Problem solving
Ch2: Surds and indices
Ch3: Quadratic functions
Ch4: Equations and inequalities
Ch5: Coordinate geometry.
Ch1: Solving problems, writing mathematics, proof.
Ch2: Using and manipulating surds, working with indices
Ch3: Quadratic graphs and equations, the completed the square form, the quadratic formula
Ch4: Simultaneous equations, inequalities
Ch5: Working with coordinates, equation of a straight line, intersection of two straight lines, the circle, intersection of a line and a curve
2
Ch6: Trigonometry
Ch7: Polynomials
Ch8: Graphs and Transformations
Ch9: The binomial expansion
Ch10: Differentiation
Ch6: Trigonometric functions, solving trigonometric equations using graphs, triangles without right angles, area of a triangle
Ch7: Polynomial expressions, dividing polynomials, polynomial equations
Ch8: The shapes of curves, transformation of graphs, including trigonometric.
Ch9: Binomial expansions, selections
Ch10: The gradient of the tangent as a limit, Differentiation using standard results, Tangents and normal, increasing and decreasing functions and turning points, sketching the graphs of gradient functions, higher order derivatives, practical problems, finding the gradient from first principles.
Spring Term
1
Ch11: Integration
Ch12: Vectors
Ch13: Exponentials and logarithms
Ch14: Data Collection
Ch15: Data processing presentation and interpretation.
Ch19 kinematics
Ch11: Integration as the reverse of differentiation, finding areas, areas below the x-axis, further integration
Ch12 working with vectors, vector geometry
Ch13: Exponential functions, logarithms, natural logarithms
Ch14: Using statistics to solve problems, sampling
Ch15: Presenting different types of data, ranked data, discrete data, continuous data, bivariate data, standard deviation
Ch19: The language of motion, speed and velocity, acceleration, distances and displacements, the constant acceleration formulae
2
Ch16: Probability
Ch17: The binomial distribution
Ch18: Statistical hypothesis testing using the binomial distribution
Ch20: Forces and Newton’s laws of motion
Ch21: Variable acceleration
Ch16: Working with probability, problem solving
Ch17:Intorduicing and using the binomial distribution
Ch18: The principles and the language of hypothesis testing
Ch20: Force diagrams, Force and motion, types of forces, pulleys, applying Newton’s second law, connected objects
Ch21: Using differentiation and integration, problem solving.
Summer Term A2 Topic
1
Ch1: Proof
Ch2: Trigonometry
Review of AS Algebra 1
Ch3: Sequences and series
Review of AS Algebra 2
Ch4: Functions
Ch5: Differentiation
Review Sine and Cosine Rules
Ch1: Problem solving, methods of proof
Ch2: Radians, circular measure, small angle approximations
Review of AS Algebra 1: Surds, indices, exponentials and logarithms
Ch3: Definitions and notation, Arithmetic and Geometric sequences and series
Review of AS Algebra 2: Equations, inequalities and polynomials
Ch4: The Language of functions, composite functions, modulus functions
Ch5: The shapes of curves, the chain rule, connected rates of change, the product rule and the quotient rules
Review Sine and Cosine Rules: Working with triangles
2
Revision
Ch6: Trigonometric functions
End of year Exam
Ch6: Reciprocal trigonometric functions, working with trigonometric functions and identities (including radians)
April 12, 2019

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