Unit 6, Lesson 21# Mathematical Area Problems

EngageNY 45 min(s)

In this lesson, students use area models to make an explicit connection between area and algebraic expressions. The lesson opens with a numeric example of a rectangle (a garden) expanding in both dimensions. Students calculate the area of the garden as if it expands in a single dimension, once just in length and then in width, and observe how the areas change with each change in dimension. Students use the area properties to justify the repeated use of the distributive property to expand the product of linear expressions.