Why have students memorize the rules when they can discover the rules?
This activity asks students to 1) sort number cards into rational and irrational, 2) use the given cards to create equations (Ex. rational + irrational = irrational) or state that the equation is not possible, 3) determine if statements about operations with rational and irrational numbers are always/sometimes/never true and 4) answer two applied problems dealing with rational and irrational numbers.
Start by copying the cards on page 5 onto card stock and/or cut and laminate them. Give each group of students a set of cards and the activity (pages 1-4). Unless the students are comfortable performing operations on radical expressions, I would suggest allowing them to use a calculator.
One of the great things about this activity is the discussion that can arise. Look out for multiple ways to solve each problem!