1.1Quadratics
Completing the square, the discriminant, and every equation that is secretly a quadratic.
5 sub-topics · Completing the square · Discriminant and number of real roots …
Functions
Domain, range, composition, inverses and graph transformations.
5 sub-topics · Function terminology (domain, range, one-one, inverse, composition) · Range of a function and composition of two functions …
Coordinate Geometry
Straight lines, circles, and the algebra of where graphs meet.
5 sub-topics · Equation of a straight line · Using line forms (y = mx + c, point-slope, general form) …
Circular Measure
Radians, arc length and sector area — and the shaded-region questions built on them.
2 sub-topics · Radians and conversion between radians and degrees · Arc length and sector area formulae
Graphs, exact values, the two identities, and solving equations in an interval.
5 sub-topics · Graphs of sine, cosine and tangent functions · Exact trigonometric values for 30, 45, 60 degrees and related angles …
Series
Binomial expansion, arithmetic and geometric progressions, sum to infinity.
4 sub-topics · Binomial expansion of (a + b)^n for positive integer n · Recognising arithmetic and geometric progressions …
Gradients, the chain rule, tangents and normals, stationary points and rates of change.
4 sub-topics · Gradient of a curve as a limit; first and second derivative notation · Derivative of x^n; chain rule for composite functions …
Reversing differentiation, definite integrals, areas and volumes of revolution.
5 sub-topics · Integration as reverse differentiation; integrating (ax + b)^n · Finding the constant of integration …