Unit 1, Lesson 12# Model the distributive property by breaking large arrays into two or more smaller arrays

North Carolina Department of Public Instruction 55 min(s)

By the end of the lesson students will be able to demonstrate the distributive property using the concept of area, communicate how the area of a rectangle relates to both the multiplication of the dimensions as well as the process of tiling a two-dimension surface with square units. Use tiling to show in a concrete case that the area of a rectangle with whole number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical thinking. This lesson builds upon the previous one by requiring students to break the larger array into four smaller arrays. The breaking of the array into the smaller arrays allows students to demonstrate the distributive property.