Exploring Angles and Fractional Turns

The video tutorial covers the concept of angles and their relation to fractions of a circle. It explains how angles are formed by the rotation of rays and introduces different types of turns, such as quarter, half, three-quarter, and full turns. The tutorial also covers reflex angles and demonstrates how to calculate angle measures using fractions of a circle. By the end of the lesson, students should be able to describe angles as fractional turns, explain reflex angles, and calculate angle measures in degrees.

What does a quarter turn represent?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

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What is an angle formed by?

• Two parallel lines crossing each other

• A single ray rotating around a point

• Two lines intersecting at any point

• Two rays connected at a common endpoint

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What is a reflex angle?

• Less than 90 degrees

• Exactly 360 degrees

• Exactly 180 degrees

• More than 180 degrees but less than 360 degrees

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What fraction of a full turn is a three-quarter turn?

• 1/2

• 1

• 1/4

• 3/4

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How many degrees are there in a full turn?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

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What does a half turn represent in degrees?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

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If a circle is divided into 4 equal parts, what is the degree measure of one part?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

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How is the angle measure of a fraction of a circle calculated?

• Subtracting the fraction from 360

• Adding the numerator to 360

• Dividing 360 by the denominator of the fraction

• Multiplying the fraction by 100

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CCSS.4.MD.C.5B

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If a circle's angle is divided into 6 parts and 2 are shaded, what is the degree measure of the shaded area?

• 60 degrees

• 120 degrees

• 180 degrees

• 240 degrees

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How many degrees are in the unshaded region if a circle is divided into 10 parts and 4 are shaded?

• 216 degrees

• 360 degrees

• 144 degrees

• 72 degrees

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CCSS.4.MD.C.5B