At the start of class, I hand each student an Entrance_Card. I intend students to work independently on this task. When students are done, I go over the questions with them and then I allow the students to play an rational or irrational number game on the computer for a few minutes. After they have several minutes to play the game, I call on a student to explain the difference between a rational and an irrational number using examples.
Teacher Note about Entrance card question 1b: Students tend to define rational numbers as :”numbers that can be written as a fraction” The problem with this is that irrational numbers such as the square root of 3 are also fractions. A better definition is that rational numbers are “numbers that can be written as a fraction of integers”.
Before moving on to the main activity for the day, I use the thumb rule to assess the students on their ability to identify rational and irrational numbers. The site below may help those students who need it the extra help.