# Binomials Lesson 1 Episode 6 (Teachers)

### 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 Supports

Students’ Conceptual Challenges

Mauricio and Emily debate whether or not the area of the new slice of pizza is 63 in2 [4:45]. They have drawn 63 rectangles inside the pizza, each with a height of 1 inch and a width of ½ inch. Their debate highlights the challenge of understanding this new unit of measure, the square inch. While the two have found 63 units that fit into the rectangle, they are not square inches. So, the area is not 63 inas Emily claims.

Focus Questions

For use in a classroom, pause the video and ask these questions:

1. [Pause the video at 0:18] Before watching how Mauricio and Emily draw their rectangle, try this for yourself: Create and use a drawing to find the area of a rectangle that is 7 inches long and 4.5 inches wide. Try not to use the “length times width” formula as you find the area of this new slice of pizza.
2. [Pause the video at 9:35] Before hearing from Emily and Mauricio, use their drawing to find the area of the rectangle. What units can be used with this drawing? How does it compare to their previous drawing?

Supporting Dialogue

1. [Pause the video at 3:20] How would you describe the drawing Emily and Mauricio created? What decisions did they make for drawing lines inside the rectangle? How might those lines be used to find the area of the rectangle? What kind of units did Mauricio and Emily create?
2. [Pause the video at 7:23] Before watching the next segment, tell your partner who you agree with: Do you agree with Emily, who claims the area is 63 in2, or do you agree with Mauricio, who says the area is not 63 in2?