Multiplication and division

Multiplicative thinking is crucial to students’ mathematical development.

Students need a deep understanding of the multiplicative structure to move beyond additive multiplication and division strategies such as skip counting and repeated addition, to efficient and sophisticated strategies that grow from their ability to think simultaneously about composite units.

Types of multiplication and division

There are different structures for multiplication and division problems. It is important that students experience working with these different structures to build a deep understanding in the domain.

Multiplicative properties

The multiplicative properties of commutativity, distributivity, and associativity form a powerful mathematical idea in multiplication and division. The properties equip students with a conceptual framework for selecting and using appropriate, flexible, efficient solution strategies.