In this lesson, students explored how to write the area in two ways, as a product (multiplying the factors, (length)x(width)) and as a sum (adding together all of the smaller area boxes). This will lead us into exploring how to factor a trinomial, particularly when the leading coefficient (often times known as a) is greater than 1 (a>1).
Most importantly, on the second page, students explore an important phenomenon. This is posed as Ms. Spencer’s discovery and students realize that when using the tabular method, for 2×2 tables, when the diagonals of the table are multiplied, their product is the same. This is important for the next lesson we will work through.