OCR FSMQ Additional Maths

What is included

What this course covers

• Algebra

  • Topic 1 — Algebraic Manipulation
  • Topic 2 — Applications of equations
  • Topic 3 — Inequalities
  • Topic 4 — Recurrence relationships

• Enumeration

  • Topic 5 — Binomial expansion
  • Topic 6 — Representing outcomes: tree diagrams, two way tables and Venn diagrams
  • Topic 7 — The product rule for counting outcomes of combined events
  • Topic 8 — Permutations
  • Topic 9 — Combinations
  • Topic 10 — Problems about outcomes, including in the context of probability

• Coordinate Geometry (two dimensions only)

  • Topic 11 — The straight line: distance between two points and the mid-point of a line segment
  • Topic 12 — The coordinate geometry of circles
  • Topic 13 — Graphs
  • Topic 14 — Applications in linear programming

• Pythagoras’ Theorem and Trigonometry

  • Topic 15 — Ratios of any angles
  • Topic 16 — Trigonometric identities
  • Topic 17 — Trigonometric equations
  • Topic 18 — Pythagoras’ Theorem and trigonometry in 2- and 3-dimensional problems

• Calculus

  • Topic 19 — Differentiation
  • Topic 20 — Integration
  • Topic 21 — Application to kinematics

• Numerical Methods

  • Topic 22 — Solving equations
  • Topic 23 — Gradients of tangents
  • Topic 24 — Area under a curve
  • Topic 25 — Numerical methods in context

• Exponentials and logarithms

  • Topic 26 — Properties of the exponential function
  • Topic 27 — Properties of the logarithmic function
  • Topic 28 — Reduction to linear form
  • Topic 29 — Equations involving exponentials

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