This activity improves students concentration skills and applying criteria to select. It practices exploring a group quadratic equations in standard form. The accent is put on determining which of the equations have two positive roots. Students will need to use Descartes’rule of signs or the rule of signs of quadratic equations to manage this task. Students must solve only the problems which have two rational positive roots by the quadratic formula. They should be noted that if the discriminant is a perfect square, the quadratic equation has two rational roots.
There are included 26 problems total marked with the small alphabetic letters. An amusing part of this activity is the word search task. Partners search to find out which words among some words given are composed only of the letters of the equations having two positive roots.
Activity Directions: Partners will each have their own set of 13 quadratic equations. They are instructed to calculate the values of discriminants of all quadratic equations at first, so to check which of them have two real solutions. Then students use the rule of signs to determine which of these problems have two positive roots. They will need their collective answers to complete the word search task. At last partners solve only the equations with two positive rational solutions.
Students recording sheets and a partners response sheet are specially designed for partners to show all work.
All answer keys are included.