# Angles

Geometry Manipulative Handout

MTH 214

Amanda R. Poole-Loggains

Professor Roland Garbe

January 27, 2015

Objective: To teach students what an angle is, what types of angles there are, how to measure an angle, and lastly, how to properly read any given angle.

Materials needed for project:

Cut two pieces of card board, or something else that has the same stiff quality as cardboard, into two rectangles A nut and bolt,

Plastic protractor

Activity: Putting together the two cardboard (or other pieces) together to make two hinged pieces.

What happens next:

As you can see in the photograph one arm is attached to the other with the nut and bolt.

When the arms are fixed together it can be explained about the angle that is formed between the arms. It needs to be explained as well that the angle increases when moved clockwise and that it decreases when moved counter clockwise.

Here is where the protractor comes in handy: The protractor is half of a circle which is 360, so the protractor is 180 degrees. It can be used to easily measure the degree of the angles.

Explain the differences in all degrees and their names:

Use the item you made to show an angle that is less than 90 degrees, which would be called an acute angle.

When the measure of the angle is 90 degrees, it is called a right angle.

When the measure is between 90 and 180 degrees, it is called an obtuse angle.

When the measure is exactly 180 degree, and this is called a straight line.

If the measure is greater than 180, but less than 360 degrees this is called a reflex angle.

Students will be able to see several different angles. It might be helpful to pass the piece around to let the students try to make different angles themselves. Being able to do it themselves may help the students to learn and little better and remember more in the long run.

Teachers can also push...

References: NCTM.org. (2015). Geometry standard. Retrieved from http://www.nctm.org/standards/content.aspx?id=314

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