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Skills Covered

  • See an angle as a turn: one degree is 1/360 of a full turn
  • Name acute, right, obtuse, straight, and reflex angles
  • Read a protractor, choosing the inner or the outer scale
  • Measure angles and the angles of shapes to the nearest degree
  • Draw angles of a given size from a ray
  • Find an unknown angle by adding or subtracting, and write the equation

How to Use This Pack

Five pages on angles and protractors. Page 1 treats an angle as a turn: a full turn is 360°, so a quarter turn is 360 ÷ 4 = 90° and a sixth of a turn is 60°. It names acute, right, obtuse, straight, and reflex angles, and counts the degrees a clock's minute hand turns. Page 2 reads angles drawn on a printed protractor: start from the 0 that the first ray passes through, on the inner or the outer scale, and check that an acute angle reads less than 90. Page 3 is measured with your own protractor: single angles, a slice of pizza, and the angles of a triangle and a four-sided shape. Every angle is drawn at its true size, so it measures the same on any printer. Page 4 draws angles of a given size from a ray. Page 5 finds unknown angles: when an angle is split into parts, the parts add up to the whole, so 35° + a = 90° and a = 55°.

In the Classroom

Before page 1, have students stand and turn a quarter turn, a half turn, and a full turn, and say the degrees. Before page 2, show on a large protractor that both scales name the same angles from opposite ends, and ask how to tell which number to read. On page 3, have partners check each other: line up the center mark on the vertex and the 0 line on one ray.

At Home

Find angles around the house: an open door, the hands of a clock, a slice of pizza. Ask your child whether each one is acute, right, or obtuse, and estimate its size before measuring it with a protractor.

Tips for Success

  • A full turn is 360 degrees; a right angle is a quarter turn, 90 degrees
  • Put the center mark on the vertex and the 0 line along one ray
  • Read the scale that starts at 0 on that ray
  • Estimate first: an acute angle is less than 90°, an obtuse angle more than 90°
  • When an angle is split into parts, the parts add up to the whole angle

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 4.MD.C.5a Know an angle's size is the share of a circle (centered at its vertex) between its rays; one degree is 1/360 of a full turn.
  • 4.MD.C.5b Know that an angle made of some number of one-degree turns measures that many degrees, so 50 one-degree turns make 50°.
  • 4.MD.C.6 Use a protractor to find the size of an angle to the nearest whole degree, and draw angles of a given size.
  • 4.MD.C.7 Know that angle measures add up when an angle is split into parts, and find unknown angles in diagrams by adding or subtracting, using equations.
  • 4.G.A.1 Draw and find points, lines, line segments, rays, right, acute and obtuse angles, and parallel and perpendicular lines, including in flat shapes.
  • 4.G.A.2 Sort flat shapes by whether they have parallel or perpendicular lines or angles of a certain size, and recognize right triangles as a group.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Measuring Angles with a Protractor

4th Grade

A 5-page angles pack for 4th grade. See an angle as a turn: a degree is 1/360 of a full turn, so a quarter turn is 360 ÷ 4 = 90°. Name acute, right, obtuse, straight, and reflex angles, read angles on a printed protractor with its inner and outer scales, measure angles and the angles of shapes with your own protractor, draw angles of a given size, and find unknown angles by adding and subtracting, with an equation. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Angles as turns of a circle, angle names, and clock turns
  • Reading a printed protractor, and measuring angles and shapes with your own
  • Drawing angles of a given size, and finding unknown angles with equations
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