Measuring Angles with a Protractor

4th Grade MathMeasurement and Data4 pages

About this worksheet

Protractor work for 4th grade covering Common Core 4.MD.5.a, 4.MD.5.b and 4.MD.6. Four printed protractors show angles of 50°, 130°, 90° and 115°, with the last one opening from the left so the outer scale has to be read. Students classify each as acute, right or obtuse. A middle section connects degrees to turns through a 360° circle, asking what 1/360 of a turn measures and what 90 and 180 one-degree turns make. The sheet ends with construction: draw the second ray to form a 45° angle and a 140° angle from a printed baseline. Answers included.

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Curriculum objectives covered

4.MD.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.

Question 5 asks precisely for the measure of an angle that turns through 1/360 of a circle.

4.MD.5.b

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

Questions 6 and 7, where 90 and 180 one-degree turns become 90° and 180°.

4.MD.6

Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

The four protractor readings in Part 1 and the 45° and 140° constructions in Part 3.

What's inside this worksheet

Part 1: Read the Protractor

Four protractor diagrams to read: 50°, 130°, 90° and one at 115° aligned to the left baseline, which punishes students who always read the inner scale. Each angle also gets a type label.

Part 2: Circle Turns and Degree Measures

Three questions tie the degree to the circle: an angle turning through 1/360 of it, then 90 one-degree turns, then 180.

Part 3: Draw Angles with Your Protractor

Two vertex-and-baseline diagrams wait for a second ray, one at 45° and one at 140°.

How teachers use it

Protractors out

Do Part 3 with real protractors and rulers. The printed baselines keep every student starting from the same setup, which makes circulating fast.

Scale-reading fix

Question 4 is the diagnostic. A student who writes 65° read the wrong scale; teach the start-from-zero check right there.

Vocabulary tie-in

Have students say the type before the number in Part 1. An angle called obtuse but measured 50° flags a deeper confusion than a misread scale.

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