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

Make an estimate that is:

1. Draw a line that is neither vertical nor horizontal. Put a point somewhere on this line. Use your protractor to draw a perpendicular line through this point. Be as precise as possible. (No folding this time!)

2. Here is a ray that starts at point M.

   

   Use a protractor to draw:

   1. A ray starting at point M to create a angle.
   2. Another ray starting at point M to create a angle.
   3. One more ray starting at point M to create a angle. Label each angle with its measurement.
3. There is one angle that is not labeled with a measurement and is greater than . Label the angle with an arc. How many degrees is this angle? Explain how you know.

Your teacher will give you 4 blank cards. Label each card with a letter A–D.

1. On each labeled card, draw an angle that meets the requirement with the same letter. Use a ruler and a protractor.

   1. an angle that is less than  
   2. an angle that is between and
   3. an angle that is greater than but less than
   4. an angle that is greater than but less than

2. Trade cards with your partner.

   1. Record the angle measurement for each angle. Check to make sure each angle meets the requirement.
   2. Have your partner correct the angle if it does not meet the requirement. Save the cards for the next lesson.

If you have time:

1. Create a drawing that shows several angles. Then write some descriptions about your drawing. Be as specific as possible.
2. Ask a partner to recreate the drawing, based on your descriptions. Does their drawing look like your drawing? If not, adjust your descriptions and ask them to try again.