Angles, Streets, and Steps

10 min

Narrative

The purpose of this Warm-up is to elicit the idea that angles of buildings and streets can be measured, which will be useful in a later activity when students measure the angles formed by a street and a horizontal line. While students may notice and wonder many things about this image, the angles in the image that could be measured are the important discussion points.

Launch

  • Groups of 2
  • Display the image.
  • “What do you notice? What do you wonder?”
  • 1 minute: quiet think time
Teacher Instructions
  • “Discuss your thinking with your partner.”
  • 1 minute: partner discussion
  • Share and record responses.

Student Task

What do you notice? What do you wonder?

Photo of house with a fence and sidewalk in front. The house, fence, and trees seem to be tilted, not straight, but leaning to the left

Sample Response

Students may notice:

  • The house is not perpendicular to the street. It’s slanted.
  • The fence posts are slanted.
  • The tree is slanted.
  • There are different-size rectangles in the door and the windows.
  • There’s a power line connected to the house.
  • The angle formed by the right side of the house and the fence is acute. 

Students may wonder:

  • Could we measure the angle of the house to the ground?
  • Is the house really slanted or was the picture taken at an angle?
  • Why are there rectangles on the ground?
  • Why would someone build a house at an angle like this?
Activity Synthesis (Teacher Notes)
  • “What are some angles that we could measure in this image?” (We could measure the angle formed by the ground and the side of the house. We could measure the angle formed by the roof and the street, but we would have to extend the roof and the street so they meet at the same starting point.)
Standards
Addressing
  • 4.MD.C·Geometric measurement: understand concepts of angle and measure angles.
  • 4.MD.C·Geometric measurement: understand concepts of angle and measure angles.

15 min

25 min