In this activity, students evaluate the legitimacy of statements regarding relationships between factors and multiples, numbers with common factors, relatively prime numbers, etc. There are seven statements available, and students choose 4 and provide evidence for whether they are always true, sometimes true, or never true. Allow this bit of student choice empowers learners and allows for variation throughout the classroom, leading to richer and more interesting discussion after the activity.
The activity is set up in two ways: first as a worksheet on page 1 if you want them to work everything out on paper, use binders, or want to have them turn it in. On page two, the same material is organized as a quick, condensed task sheet you can cut up and pass out to students to save in composition books or spiral notebooks.
A scoring rubric is included if you wish to use it.