Once students have learned about various classifications in the real number system, this cut-and-paste task encourages deeper thinking about the relationships between these numbers.
Individuals, pairs, or small groups should each be given a copy of the ALWAYS, SOMETIMES, NEVER three-heading page, as well as a half-sheet of statement slips. Students cut the slips and sort the statements in the appropriate categories of ALWAYS being true, SOMETIMES being true, or NEVER being true. Paste away and submit for a formative assessment or alternative graded task.
The BEST part about tasks like this is the STUDENT DISCOURSE that occurs. Be sure to circulate and listen to students’ arguments and justifications.
This task pairs well with my CLASSIFYING NUMBERS IN THE REAL NUMBER SYSTEM GRAPHIC ORGANIZER AND ACTIVITY.