Use a Protractor to Draw Angles

10 min

Narrative

In this Warm-up, students practice estimating a reasonable angle measurement, based on their knowledge of angles so far and their familiarity with clocks. Later in the unit, students will take a closer look at the angles in an analog clock and apply their understanding of angles to solve more sophisticated problems.

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
  • 1 minute: partner discussion
  • Record responses.
  • Draw an arc to label the angle that measures 143143^\circ and show the clockwise turn of the minute hand from the hour hand.
  • “Your estimate should show the size of this angle in degrees. If you need to, revise your estimate.”
  • As needed, record any revisions.

Student Task

How many degrees is the angle formed by the long hand and the short hand of the clock?

clock without number markings. Hour hand pointing between 3 and 5, minute hand pointing between 7 and 9.

Make an estimate that is:

too low about right too high

Sample Response

  • Too low: 00^\circ9090^\circ
  • About right: 130130^\circ160160^\circ
  • Too high: 170170^\circor more
Activity Synthesis (Teacher Notes)
  • Consider asking:
    • “Is anyone’s estimate less than _____? Is anyone’s estimate greater than _____?”
    • “How did you go about making an estimate? How did you know that _____ must be too low and _____ must be too high?”
    • “Based on this discussion, does anyone want to revise their estimate?”
  • Consider revealing the actual measurement: 143143^\circ.
Standards
Addressing
  • 4.MD.5·Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
  • 4.MD.C.5·Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

15 min

20 min