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What completing the square does

What completing the square does

Completing the square means rewriting a quadratic so that it contains a squared bracket. Instead of a form like x2+px+qx^2+px+qx2+px+q, we aim for something like a(x+h)2+ka(x+h)^2+ka(x+h)2+k, which is easier to read from a graph.

Completing the Square Lesson

  1. GCSE
  2. /Maths
  3. /Completing the Square

Step-by-step lessons covering Edexcel GCSE Maths Completing the Square for Foundation and Higher tier. Each lesson works through exam-style questions in Paper 1, Paper 2 and Paper 3 format. Build fluency with number, ratio and algebra first, since geometry, probability and statistics topics rely on them, and leave extra time nearer the exam for Higher-tier problem-solving and multi-step reasoning questions.

Lessons

Quadratic Simultaneous EquationsTransforming Graphs y=f(x)ProofCompleting the SquareThe Nth Term of a Quadratic SequenceQuadratic InequalitiesProof of the Circle TheoremsPerpendicular Lines and the equation of a tangentVectors Proof QuestionsProbability Equation Questions