This activity combines the skills of solving quadratic equations having complex solutions with the skills of performing operations with square roots and complex numbers. There are given 26 quadratic equations in standard form having rational and irrational coefficients , labeled with the letters of the alphabet.
Activity Directions: Each partner has his own set of 13 quadratic equations to explore. Students get started with calculations of the discriminant of each of the equations in order to determine which of the equations have complex solutions. Partners solve only the equations having complex solutions.
After that students sort the equations according to their complex roots into four different groups. For instance, equations which have rational real and rational imaginary parts of their roots come under one category and equations which have irrational real and irrational imaginary parts of their roots belong to another category. Partners are instructed to record the letter of each equation in its corresponding section of a “sorting mat” given. As a result there will be four different sections with letters written in them. Partners can make a word with the letters in each section.
Student recording sheets are specially designed for this activity.
All answer keys are included.
This activity is included in my
Quadratic Equations Activities BUNDLE (Real and Complex Solutions)