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Angles. By Mr. Bales. Objective. By the end of this lesson, you will be able to identify, describe, and classify angles.

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By Mr. Bales


  • By the end of this lesson, you will be able to identify, describe, and classify angles.

  • Standard 4MG3.5 - Students need to know the definitions of a right angle, an acute angle, and an obtuse angle. Understand that 90°, 180°, 270°, and 360° are associated respectively, with 1/4, 1/2, 3/4, and full turns.


  • How many degrees does it take to go in a complete circle? Or make one full turn?

  • Let’s watch a little NBA to find out!!

  • NBA

  • So, how many degrees are there in a full turn?

History lesson
History Lesson

  • The Babylonians in about 2400 B.C. lived in Mesopotamia, now southern Iraq. They used a number system based on 60. Some believe they divided the circle into 360 degrees because 6 x 60 = 360 degrees. Others believed that they watched the planets and the sun. They knew it took 360 days for the sun’s path to complete a total circuit. Either way, that is how we got the 360 degree circle.

Get ready to learn
Get Ready to Learn

  • MJ’s teacher (that’s me) assigned ten problems for homework. MJ started his homework at 4:00 p.m. He completed it at 4:15 p.m. How far has the minute hand turned?

  • Use the following pictures to help you solve the problem.

More on turns


More on Turns

1/2 turn

¼ turn



full turn

¾ turn



  • Let’s get on our feet and practice this!!

  • Please stand and face the board, which is 12:00.

  • Turn 1/4 turn.

  • What angle measure is that?

  • Turn 1/2 turn.

  • What angle measure is that?

  • Turn 3/4 turn.

  • What angle measure is that?

  • Turn a full turn.

  • What angle measure is that?

What are angles


How would you label this Daniella?



What are Angles?

  • Anglesare figures that are formed by two rays or two line segments with a common endpoint.

  • You label angles with a < symbol and you place the vertex in the middle of the three points.

Perfect! < ABC or < CBA

Always label angles with vertex in the middle!

Right angles


Can you label this correctly?



Right Angles

  • There are all kinds of different angles.

  • A right angle has a “square corner”.

Acute angles
Acute Angles

  • An acute angle measures greater than 0º and less than 90º.

Obtuse angles
Obtuse Angles

  • An obtuse angle measures greater than 90º, but less than 180º.

More on angles
More on Angles

  • Let’s hear from Mr. Hardesty as he explains a few different angles.

  • Mr. Hardesty!!


  • Page 400 - #’s 8 - 19

  • Get them all correct, No Math Homework