Perimeter and Area of Rectangles

10 min

Narrative

The purpose of an Estimation Exploration is for students to practice the skill of estimating a reasonable answer based on experience and known information. In this lesson, students will find the perimeter and area of rectangles and think about the size of the windows in this image to prepare them for this work.

Launch

  • Groups of 2
  • Display the image.
  • “What is an estimate that’s too high? Too low? About right?”
  • 1 minute: quiet think time
Teacher Instructions
  • “Discuss your thinking with your partner.”
  • 1 minute: partner discussion
  • Record responses.

Student Task

What is the area of 1 window?

photograph of window washers and windows. Each window, width, about man's arm span, height, about one and one half man's height.  

Record an estimate that is:

too low about right too high

Sample Response

Sample responses:
  • too low: 10 to 20 sq ft
  • about right: 30 to 100 sq ft
  • too high: 350 to 1,000 sq ft
Activity Synthesis (Teacher Notes)
  • “What could you use in the image to help estimate the area of the windows?” (There are the people cleaning the windows. I used the people to estimate the height and width of the windows and then multiplied to find the area.)
Standards
Building Toward
  • 5.G.2·Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
  • 5.G.A.2·Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

15 min

20 min