There are four basic operations in mathematics:
These operations define actions. They are not static statements, but dynamic interactions between quantities.
Division is the action of seperating quantities into groups of a given size (grouping), or a certain number of groups (sharing). It can also be modeled with an area model. Let's look at 18 ÷ 6 = 3. Here is an example of the grouping model:
Here's a look at a sharing model:
The models are simple, yet powerful. They will work for operations with fractions, decimals, and signed numbers, as well as algebraic operations. We'll learn more about those in future lessons.