This worksheet makes excellent use of algebra tiles to help students deepen their understanding of factorising by completing the square.

Students will begin with considering expressions which make perfect squares in section A. The worksheet progresses to include expressions that factorise to (x+a)^2+b where b is positive and negative, expressions where a and or b are fractional and finally to quadratics with a coefficient of x squared which is greater than one.

There are examples of the method throughout the worksheet to guide your learners and encourage independence. Each question comes with a squared grid for students to draw the algebra tiles using the grid/area model.