 Factorising quadratics
 Completing the square
 Expanding brackets
 Differentiating polynomials
 Differentiating exponential functions
 Differentiating sin, cos, tan
 Double angle formulae
 Adding 2D vectors
 Scalar product of vectors
 Crossproduct of vectors
 Pythagoras
 Converse of Pythagoras
 Cosine rule
 Sine rule
 Pythagoras in 3D
 Difference of two squares
 Whole number index laws
 Rational index laws
 Negative indices
 Plot linear equations
 Parametric equations
 Use axes and coordinates, both positive and negative in 2D
 Understand and plot points in four quadrants
 Use axes and coordinates in 3D
 Find the coordinates of a point
 Plot a point given the coordinates, in 2D or 3D
 Find the midpoint of a line
 Calculate the length of a line using coordinates
 Differential equations


 Graph transformations: translate, scale, rotate
 Tangents from a point outside the circle are equal in length
 The angle between the tangent and radius is 90°
 The perpendicular from the centre to the chord bisects the chord
 Opposite angles in a cyclic quadrilateral add up to 180°
 Angles in a semicircle are 90°
 Angles in the same segment are equal
 Angles in the same segment are equal
 Calculating the lengths of arcs and areas of sectors
 Words associated with circles
 Alternate segment theorem
 Intersecting chords theorem
 Standard form
 Ratios
 Convert between fractions and decimals
 Surds: rationalising denominators
 Working with surds
 Rounding
 Signification figures
 Estimation using rounding
 Set up simple equations for a problem
 Rearrange simple equations
 Solve simple equations
 Solve equations with the unknown on either side
 Solve equations with the unknown on both sides
 Solve equations that include brackets
 Solve equations with negatives, including negative answers
 Solve equations involving fractions
