In this activity students will practice solving quadratic equations in standard form by the quadratic formula and by completing the square. All equations have complex solutions. Students will also practice plotting points on a coordinate plane, representing the values of the complex roots of the quadratic equations. An amusing part is the drawing activity where partners will draw easy drawing symbols around the plotted points and will produce a nice picture together.
Activity Directions: Each partner is supposed to solve individually eight quadratic equations. The equations are marked with different symbols. Student solves the equations given like this: one equation - by the quadratic formula and the other - by completing the square and it goes still that way. Students show detailed solutions on the recording sheets specially designed and provided for this activity. Then partners plot all the points, representing the values of the complex solutions they have already found on a coordinate plane given. They consider the symbol of each equation to be the symbol of its roots as well. At last students draw the symbol of each equation around the plotted points, corresponding to its complex solutions.
All answer keys and full solutions of the problems are provided.