# Binomials Lesson 1

### Understanding Area

Emily and Mauricio recall the formula to find the area of a rectangle: Area equals length times width (A = L • W). Then they go beyond the formula to understand the meaning of area measurement units (such as a square inch or a square centimeter), the relationship between linear and area measurement units, what the 24 in 24 in2 represents, and the meaning of multiplication in the area formula.

##### Episode 1: Making Sense

Mauricio and Emily distinguish between area and perimeter in the context of a rectangular pizza, as the amount of pizza one gets to eat versus the distance around the pizza.

##### Episode 2: Exploring

Emily and Mauricio find the area of two differently-sized rectangular pizza slices in order to determine whether each slice has the same amount of pizza.

##### Episode 3: Reflecting

The students reflect on the meaning of 24 in2 as the area of a rectangular piece of pizza, by drawing 24 of something inside the pizza and by considering the meaning of an inch squared.

##### Episode 4: Exploring

Emily and Mauricio revise their drawing from Episode 3, this time showing the meaning of 24 in2 as 24 units where each unit is a square with side length of 1 inch.

##### Episode 5: Reflecting

Mauricio and Emily reflect on the meaning of two other area measurement units—cm2 and ft2

##### Episode 6: Exploring

The students create and use a drawing, rather than a formula, to find the area of a rectangle that is 7 inches long and 4.5 inches wide.

##### Episode 7: Repeating Your Reasoning

Emily and Mauricio apply their understanding of area to create four different shapes, each with an area of 8 cm2

##### Episode 8: Reflecting

Mauricio and Emily reflect on the meaning of multiplication in the formula for the area of a rectangle.