Menu

PRIMARYSECONDARYGCSE REVISION
TOOLSSEARCH
LOGINFREE TRIAL
Back to:
Algebra Tiles•
Area Model•
Completing the Square•
Non-Linear Functions•
Quadratic Functions

Completing the Square - Using Algebra Tiles WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Factorising quadratics into double brackets.
Learning Objective: Factorise quadratic using completing the square

Completing the Square - Using Algebra Tiles WORKSHEET DESCRIPTION

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.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Completing the Square - Using Algebra Tiles Worksheet created for students in KS4

RELATED TO Completing the Square - Using Algebra Tiles WORKSHEET

Completing the Square (B)

Year groups: 10, 11

Preview of Completing the Square (B)

Cubic Graphs - Recognising, Sketching and Interpreting

Year groups: 10, 11

Preview of Cubic Graphs - Recognising, Sketching and Interpreting

Frequently Asked Questions

Before tackling this resource, learners should be comfortable with factorising quadratics into double brackets, as this forms the foundation for completing the square. The visual approach using algebra tiles builds upon this existing knowledge, helping students see the geometric representation of the algebraic processes they've already encountered. This prerequisite ensures students can focus on mastering the completing the square technique rather than struggling with basic factorisation.