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Measurement & Data – 4th Grade

Geometric measurement: understand concepts of angle and measure angles.

CCSS.Math.Content.4.MD.C.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
CCSS.Math.Content.4.MD.C.5.a An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles. CCSS.Math.Content.4.MD.C.5.b An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

Teacher Notes An angle is a geometric figure formed when two rays share the same endpoint. Angles within a circle can be measured by turning the angle through the 360 degrees of the circle. Some students can draw from their prior knowledge of hearing the terms 360 or 180 in skateboarding. One degree angles are angles that open only one degree. Larger angles are created by a series of one degree angles and can be named for their size.

Student Knowledge Goals I know an angle is the union of two rays with the same initial point. I know angles are measured with reference to a circle with its center at a common endpoint of the rays. I know the unit of measure for angles is degrees. I know a full rotation from the center of a circle is 360 degrees. I know an angle that turns through 1/360 degree is called a “one degree” angle. I know that “one degree” angle can be used to measure angles. I can measure an angle using a protractor. I can sketch angles when given a measurement. I can use a protractor to create a give angle.

I know an angle is the union of two rays with the same initial point. I know angles are measured with reference to a circle with its center at a common endpoint of the rays. I know an angle that turns counterclockwise through “n” one-degree angles has a measure of “n” degrees

Vocabulary arc central angle circular degree endpoint line segment point ray turn vertex

Lessons – Identify and draw points, lines, line segments, rays, and angles and recognize them in various contexts and familiar figures. – Use right angles to determine whether angles are equal to, greater than, or less than right angles.  Draw right, obtuse, and acute angles. – Identify, define, and draw perpendicular lines. – Identify, define, and draw parallel lines. – Use a circular protractor to understand a 1-degree angle as 1/360 of a turn.  Explore benchmark angles using the protractor. – Use varied protractors to distinguish angle measure from length measurement.

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