- 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
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- 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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