You can use this dynamic worksheet to have students explore and discover the procedure of *completing the square* for solving quadratic equation of the form *x*^{2}+*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. *x*^{2}+5*x*=1

b*. x*^{2}+4*x*=6

c. *x*^{2}+*x*=-3

d. *x*^{2}+4*x*=-4

e. *x*^{2}+4*x*=2

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

3. Think of a way of solving the quadratic equation (e.g. *x*^{2}+8*x*=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.

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