The method of Completing the Square is introduced through recognising a need to solve a quadratic when it can not be easily factorized.

Throughout the main teaching phase there are numerous examples for the teacher to model plus additional equations to be practiced by the students.

**Differentiated Learning Objectives**

- All students should be able to solve a quadratic equation in the form ax
^{2}+bx+c=0 where a equals 1 using the method of completing the square. - Most students should be able to solve a quadratic equation in the form ax
^{2}+bx+c=0 where a does not equal 1 using the method of completing the square. - Some students should be able to use completing the square to solve equivalent quadratic identities.