Topics In Maths

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  • 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
  • Cross-product 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 mid-point 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

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