Binomials Lesson 4 Episode 6 (Teachers)

Exploring

Download Math Task

Emily and Mauricio explore whether or not they can set two algebraic expressions from Episode 5 equal to each other by substituting 2 ft for the variable representing how much the length of the original garden is decreased by.


Episode Supports

Focus Questions

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

  1. [Pause the video at 3:51] Where do you see 12 – 2 in the picture that Emily and Mauricio drew? Do you agree with the students that the area of the new garden is 90 ft2?
  2. [Pause the video at 5:09] Emily has written 12 • 9 – 2 • 9. Can you describe where each part of that expression can be found or seen in the drawing they made?

Supporting Dialogue

[Pause the video at 0:49] The teacher has asked if it’s okay to make the two expressions equal. In other words, is the equation (12 – y) • 9 = 12 • 9 – y • 9 true? Talk with a neighbor and answer this question.