# Topics In Maths

 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 Plotting cubics Plotting quadratics Plotting exponential functions Plotting logarithms Plotting sin, cos, tan Adding fractions Integrating polynomials Integrating trig functions Integrating by parts Integrating with partial fractions Integrating logs Differentiation: Product rule Differentiation: Quotient rule Differentiation: Chain rule Implicit Differentiation Trial and improvement Find the $n^{th}$ term in an arithmetic sequence Find the $n^{th}$ term in a geometric sequence Sum a geometric series Sum n terms of a geometric sequence Sum n terms of an arithmetic sequence Geometric algebra Subtracting fractions Logarithms Adding complex numbers Multiplying complex numbers Argand diagram Expression, Equation, Formula, Identity 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