This activity is one that I use to introduce my math students to rational numbers. The first portion of the activity (first page) provides the students with examples of rational and irrational numbers, and asks them to look for patterns and trends within each set of numbers in order to develop their own definition of the term "rational number". I usually have the kids take time to brainstorm on their own, and then give them time to talk with a neighbor or within a small group, to compare their observations with one another. The activity also includes space for the students to write a final class definition, to be made as a whole group once the students have taken time to form their own hypothesis, as well as space to write the variety of ways rational numbers can be written (fraction, decimal, and so on). I typically follow this up by completing the diagram that is found on the second sheet of the activity. This diagram emphasizes the relationship between rational numbers, integers, and whole numbers. This diagram can be done as a whole class, or by giving the students time to write their own examples in each portion of the diagram before sharing ideas with the whole group.