Angle Degrees

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Introduction to Angles Lesson Plans

Introducing Angles

Lesson Plans by Anna Warfield

Angles play a critical role in geometry and are the foundation for trigonometry and geometry. The following activities are a great way to provide visual aids to students and help them understand how different angles affect polygons.




Introducing Angles

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Angle Degrees

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  • I hear "degrees" all the time. What are degrees when we are talking about angles?
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  • EXAMPLE
  • 45
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  • Degrees are a unit of measurement, like inches or pounds.
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  • Degrees measure rotation or turn of an angle in reference to a full circle.
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  • A sailor looks straight ahead through a spyglass at another ship. There is no turn, so he is looking at an angle of 0 degrees.
  • The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360
  • Then he gets distracted by a bird and looks up. His head has turned upwards. Now he is looking at an angle of 45 degrees.
  • 180
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  • 120
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  • 90
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  • In a full circle, there are 360 degrees. Each degree is 1/360 of a full circle.
  • Image Attributions:Thermometer (https://www.flickr.com/photos/jz909/1451373852/) - jetsandzeppelins - License: Attribution (http://creativecommons.org/licenses/by/2.0/)100414-N-0696M-087 (https://www.flickr.com/photos/thejointstaff/4522012433/) - Chairman of the Joint Chiefs of Staff - License: Attribution (http://creativecommons.org/licenses/by/2.0/)
  • Some think that 360 was chosen for the number of degrees in a circle because it is close to the number of days in a year.
  • 360 also has many factors, so a circle can be divided into equal parts easily.
  • Each circle has been divided into equal parts. The angle measurement of each part is outside each circle.

Image Attributions

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