Solving Quadratic Equations (D) (by Completing the Square) WORKSHEET
Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Quadratic expressions, completing the square, solving linear equations.
Solving Quadratic Equations (D) (by Completing the Square) WORKSHEET DESCRIPTION
This worksheet is designed to provide a scaffolded approach to solving quadratic equations by completing the square.
Section A provides four quadratics that have already been written in the completed square from and just need to be rearranged to give the solutions for x.
Section B then presents some quadratics with an x squared coefficient of one, four of which are equal to zero, and four requiring additional manipulation.
Section C then provides six quadratics with an x squared coefficient greater than one. For an extra challenge, the extension question asks learners to find missing coefficients and also derive the quadratic formula.
