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Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

c. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

- Group: Whole Class/Alone
- Materials: How Many Angles of n Degrees Can Make a Full Turn sheet

Explain that an angle is measured with reference to a circle with its center at the common endpoint of the rays. Point out that an angle that turns through 1/360 of a circle is called a one-degree angle and can be used to measure angles. Explain that the angles have the same measure. Issue a **How Many Angles of n Degrees Can Make a Full Turn sheet** to each student. Explain that the angles in the circles are congruent. Instruct students to write the measure of each angle. Then have them write the number of angles of n degrees make a full turn. Emphasize that a full turn is 360°. Help students understand that they can divide 360 by the number of congruent sectors in a circle to find the measure of each congruent angle. Ask questions like the ones below:

- How many 90⁰ angles does it take to make a full turn? (4)
- How many 120⁰ angles does it take to make a full turn? (3)
- How many 60⁰ angles does it take to make a full turn? (6)

© Common Core Math Activities

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