AS

Algebraic Expressions

  • Laws of indices
  • Expanding Brackets
  • Factorising
  • Negative and Fractional Indices
  • Surds
  • Rationalising Denominators
  • Quadratics

Solving Quadratic Equations

  • Completing the Square
  • Functions
  • Quadratic Graphs
  • The Discriminant
  • Modelling with Quadratics
  • Equations and inequalities
  • Linear Simultaneous Equations
  • Quadratic simultaneous Equations
  • Simultaneous Equations on Graphs
  • Linear inequalities
  • Inequalities on graphs
  • Regions
  • Graphs and Transformations
  • Cubic graphs
  • Quartic graphs
  • Reciprocal graphs
  • Points of intersections
  • Translating graphs
  • Sketching Graphs
  • Transforming functions
  • Straight line graphs
  • y=mx+c
  • Equations of straight lines
  • Parallel and perpendicular lines
  • Length and area
  • Modelling with Straight Lines
  • Circles
  • Midpoints and perpendicular bisectors
  • Equation of a circle
  • Intersections of straight lines and circles
  • Use tangent and chord properties
  • Circles and triangles
  • Algebraic methods
  • Algebraic fractions
  • Dividing polynomials
  • The factor theorem
  • Mathematical Proof
  • Methods of proof
  • The Binomial Expansion
  • Pascals Triangle
  • Factorial Notation
  • The binomial Expansion
  • Solving binomial problems
  • Binomial estimation
  • Trigonometric ratios
  • The Cosine rule
  • The sine rule
  • Areas of triangles
  • Solving triangle problems
  • Graphs for sine, Cosine and Tangent
  • Transforming trigonometric graphs
  • Trigonometric identities and equations
  • Angles in four quadrants
  • Exact values of trigonometric ratios
  • Trigonometric identities
  • Simple trigonometric equations
  • Harder trigonometric equations
  • Equations and identities
  • Vectors
  • Vectors
  • Representing Vectors
  • Magnitude and direction
  • Position vectors
  • Solving geometric problems
  • Modelling with vectors
  • Differentiation
  • Gradients of curves
  • Finding the derivative
  • Differentiation
  • Differentiating quadratics
  • Differentiating functions with two or more items
  • Gradients,tangents and normal
  • Increasing and decreasing functions
  • Second order derivatives
  • Stationary points
  • Sketching gradient functions
  • Modelling with differentiation
  • Integration
  • Indefinite integrals
  • Finding functions
  • Definite integrals
  • Areas under curves
  • Areas under the x-axis
  • Areas between curves and lines
  • Exponential and logarithms
  • Exponential functions
  • y=ex
  • Exponential modelling
  • Logarithms
  • Laws of logarithms
  • Solving questions using logarithms
  • Working with natural logarithms
  • Logarithms and non-linear data
  • A Level
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