Completing the Square Solver with Visuals

completing the squareYou can use this dynamic worksheet to have students explore and discover the procedure of completing the square for solving quadratic equation of the form x2+bx=c. Note that because area is used to visualise the product of the factors,  the value of b cannot be negative. You can give them problems where b is negative after they have discovered the procedure. Teaching algebra with geometrical representation is one way of scaffolding students’ understanding of algebra.

Suggested sequence of tasks:

1. Solve the following quadratic equations using the worksheet.

a. x2+5x=1

b. x2+4x=6

c. x2+x=-3

d. x2+4x=-4

e. x2+4x=2

 

2. Make your own equations and solve them using the worksheet.

3. Think of a way of solving the quadratic equation (e.g. x2+8x=3) algebraically. That is, without using of the area model.

This material may be downloaded upon sending a request e-mail to jacq.agimat@gmail.com.

Erlina Ronda

I love to develop mathematical tasks and activities that involve basic mathematics concepts but have the potential to engage both teachers and students in higher level thinking. I am particularly interested in students’ learning trajectories of big ideas in number, algebra, geometry, and in the use of GeoGebra in learning mathematics. More. Email: linesronda@gmail.com

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About Erlina Ronda 23 Articles
I love to develop mathematical tasks and activities that involve basic mathematics concepts but have the potential to engage both teachers and students in higher level thinking. I am particularly interested in students’ learning trajectories of big ideas in number, algebra, geometry, and in the use of GeoGebra in learning mathematics. More. Email: linesronda@gmail.com

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