All learning paths

Pure, first pass

Papers 1 and 2 · 100 marks each, 2 hours each.

27 Lessons
  1. Mia

    This is where the course starts. Short steps, and I'll be here for each one.

    A tour of the whole courseFoundations · Free
  2. Indices, surds and exact valuesFoundations · Free
  1. Quadratics: square form, discriminants and rootsCore · Free
  1. Linear and quadratic simultaneous equationsCore
  1. Inequalities and solution setsCore
  1. Polynomial algebra and the factor theoremCore
  1. Sketching polynomial and reciprocal graphsCore
  1. Lines, gradients and perpendicularityCore
  1. Circles, tangents and intersectionsCore
  1. Shifts, stretches and reflectionsCore
  1. Deduction, exhaustion and counterexamplesCore
  1. Vectors: components, position and subtractionCore
  1. Magnitude, direction and vector geometryCore
  1. Unit-circle trigonometry and periodic graphsCore
  1. Trig identities and interval equationsCore
  1. Non-right triangles and the ambiguous caseCore
  1. Radians, arc lengths and sector areasCore
  1. Exponential graphs and transformationsCore
  1. Logarithms and exponential equationsCore
  1. Exponential models and their parametersCore
  1. Derivatives from first principlesCore
  1. Power, exponential and basic trig derivativesCore
  1. Tangents, normals and increasing and decreasing intervalsCore
  1. Stationary points, optimisation and curvatureCore
  1. Antiderivatives and the fundamental theoremCore
  1. Definite integrals, areas and limiting stripsCore
  1. Integer binomial expansions and coefficientsCore

A tour of the whole course

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