# Measuring Angles in Reference to Circles Math Games

In this series of games, your students will learn how an angle is measured with reference to a circle with its center at the common endpoint of the rays. The Measuring Angles in Reference to Circles learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 4.MD.C.5.a as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

**Concepts Covered**

Understand equal partitioning and unit iteration to understand angle and turn measure. Angle measure is a “turning point” in the study of geometry. An angle is the union of two rays, a and b, with the same initial point P. The rays can be made to coincide by rotating one to the other about P; this rotation determines the size of the angle between a and b. Identify the measure of an angle that turns through a fraction of a complete circle. Limited to benchmark fractions 1/2, 1/3, 1/4, and 1/8. Identify the angle measure, in degrees, given the fraction the ray of an angle turns. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and degrees are the unit used to measure angles. An angle that turns through n/360 of a circle is called an “n-degree angle” – use multiple values for n.

A preview of each game in the learning objective is found below.

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