Binomials Lesson 6 Episode 3 (Teachers)

Exploring

Download Math Task

The students create a drawing of a new rectangular piece of fabric by starting with the square fabric of unknown side length from Episode 2 and increasing its length by 4 inches and its width by 3 inches. They find the area of the new piece of fabric using two different methods.     


Episode Supports

Focus Questions

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

  1. [Pause the video at 1:00] Try this task for yourself. Draw a picture to help you find the area of a new piece of fabric, one that is 4 inches longer and 3 inches wider than Zara’s square, which is some unknown number of inches long.
  2. [Pause the video at 6:11] Compare your drawing and work with Emily and Mauricio’s work. Did you get the same expression? Did you do or draw anything differently?

Supporting Dialogue

[Pause the video at 2:12] Mauricio and Emily have identified several similarities and differences between this task and the garden tasks they had been working on. What do you think about Mauricio’s claim that they will need two variables to finish this task? Talk with a partner and decide for yourself: how many variables will you need for this task?