This set of 16 cards read various amounts of objects and provide the directive for students to determine how many ways those objects can be shared. Students can work independently or in small groups using tools, pictures, or numbers to manipulate the various ways that groups of the objects could be formed while still equaling the provided amount. The cards also allow for the students to create the problem that might accompany the allotted amount of objects, and their answers will vary based on their ideas and justifications.
In addition, students may explain how the objects can be shared in a way that could introduce them to remainders in division, depending on how they solve. However, all of these cards have at least one way to evenly divide the objects into equal groups.
For example, a student may say that 24 cookies can be shared by 12 neighbors with 2 cookies each OR 6 friends with 4 cookies each OR by 24 students with 1 cookie each.
As an extension, students can prove that their groupings are accurate and true by using a variety of strategies and representations including repeated addition, repeated subtraction, the commutative property of multiplication & division... etc.