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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 OCR GCSE Maths Completing the Square for Foundation and Higher tier. Each lesson works through exam-style questions in the written papers 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