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Algebraic Structure and Manipulation · Autumn Term

Completing the Square

Transforming quadratic expressions into completed square form and using it to find turning points.

Key Questions

  1. Justify why completing the square reveals the turning point of a quadratic graph.
  2. Compare the process of completing the square with factorising for solving quadratic equations.
  3. Design a quadratic expression that is most efficiently put into completed square form.

National Curriculum Attainment Targets

GCSE: Mathematics - Algebra
Year: Year 10
Subject: Mathematics
Unit: Algebraic Structure and Manipulation
Period: Autumn Term

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