Online College Courses for Credit

Completing the Square

Completing the Square

Author: William Jones
  1. Solve quadratic equations by completing the square when the leading coefficient of the squared term is equal to 1. 
  2. Solve quadratic equations by completing the square when the leading coefficient of the squared term is not equal to 1. 
  3. Apply knowledge gained to find solutions to real-world problems that require the use of quadratic equations.  

Through the use of varied media and tools, students will gain a working knowledge of Completing the Square. Students will also be able to judge under what circumstances "Completing the Square" is the appropriate method to use when solving a quadratic equation. Finally, students will demonstrate mastery of the content, by successfully applying the method in solving a real world example. 

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Completing the Square Video Lesson

Solving quadratic equations by completing the square.

Notes on Completing the Square


Supplemental Resource

Scroll through the Slideshow to check your understanding of the concept and "fill-in" any information you overlooked either in the video or PDF notes.

IXL - Complete the Square

Practice your Completing the Square skills on IXL! Click the links below to work sample problems! 

IXL - BB.6 

IXL - BB.7 

Source: IXL Math

Supplemental Notes & Examples

Follow the notes and examples explored on the linked webpage. You may also want to attempt several of the questions at the bottom of the page.

Fireworks Activity

Read over the attached PDF document. Jot down any information that you found important or that "stood out" to you. We will further discuss this problem in class.



Think about this question ~

Is there a general formula that can be used to find the b term that is used to complete the square? 

...sounds like an exit-slip to me!

Source: Vikram Sivaraja