This is a series of activities having students apply the distributive property to determine the area for various models. Each problem has:
- a context – a real world situation for the problem
- an area model
- equivalent expressions
- and for numeric expressions it also has the traditional algorithm
There are four example questions provided where everything is completed for the students. The remaining problems have some or all of the sections missing. The students are expected to fill in the missing sections.
There are additionally two pages of numeric expressions that the students are expected to solve by using the distributive property as well as the traditional algorithm. There are also two other pages of algebraic expressions that the students are expected to simplify by applying the distributive property.
These activities are especially helpful in getting students to understand how the distributive property works with numeric expressions by breaking numbers apart, multiplying them, and then adding the results together. It then also creates a connection between using the distributive property for numeric expressions and algebraic expressions. By providing a context for the problems it helps students to connect these activities with real world situations.
There are a total of 14 student pages of activities. I have also included 2 pages of example activities as well as answer keys for every problem. Many of the questions can have multiple correct answers of methods of solving, so the answers provided to some questions are meant as examples.