Completing the Square WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Factorising quadratics into double brackets.

Completing the Square WORKSHEET DESCRIPTION

Throughout this worksheet, students will be writing expressions in ‘completing the square’ form, solving quadratics by completing the square and taking a look at how this format makes sketching the graphs of quadratics easier.

X squared has a coefficient of 1 for all the questions in section A. The sections build from expressions with two terms to answers that involve fractions.

Next, all the expressions in section B consist of a coefficient of x squared which is greater than 1.

Pupils are solving quadratics in section C. Knowledge of leaving answers in surd form is required here.

Our extensions sees learners drawing a graph of an equation from completed square form.