Completing the 'Square'

Curriculum support30 minsFREE

Key takeaways
Understand why this method of factorisation is known as ‘completing the square’ through a geometric perspective. 
Solve quadratic equations through completing the square. 
Recognise when an exam question requires students to use completing the square to solve a quadratic.    
Shahriyar HajghassemHost: Shahriyar is a Maths Teacher at a School in Northwest London, teaching years 7 to 11. He graduated from the University of Warwick in 2013 and set off to China for two years teaching IGCSE and A-Level Economics.

The elementary method of solving quadratic equations is through factorisation. However, some quadratic equations cannot be solved using this method. This lesson introduces students to a more advanced method of solving quadratic equations, through ‘completing the square’. Completing the square is a grade 7-9 skill, therefore this lesson will be of great use for students aiming to achieve marks on the latter parts of the GCSE paper. 

Try these classes next:  Factors, Multiples and PrimeQuadratic Sequences: Finding the Nth TermReciprocals.

Safeguarding reminder:The safety of your child is of the utmost importance. All of our classes are pre-recorded to remove any concerns around live participation. For reruns of our past live classes, students' webcams and microphones were disabled and only the chat history, if participation was requested, is visible.

Suitable for:

For all students studying Maths in Years 9-11 or S3-S5 (Advanced KS4.) 

Class requirements:
You will need a laptop or device with internet connection to watch the class, as well as a pen and notepad for taking notes.
What to expect:
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