Problem 3: Measure and draw benchmark angles with the protractor. Problem 2: Use a circular protractor to determine that a quarter-turn or a right angle measures 90 degrees, a half turn measures 180 degrees, a three quarter-turn measures 270 degrees, and a full rotation measures 360 degrees. Problem 1: Reason about the number of turns necessary to make a full turn with different fractions of a full turn. NYS Math Module 4 Grade 4 Lesson 5 Concept Development How many right angles can fit into a circle? NYS Math Module 4 Grade 4 Lesson 5 Application Problem Scroll down the page for more examples of using the circular protractor. The following diagram shows a worksheet to learn how to measure angles using a circular protractor. Explore benchmark angles using the protractor.Ĭommon Core Standards: 4.MD.5, 4.MD.6 New York State Common Core Math Grade 4, Module 4, Lesson 5ĭownload worksheets for Grade 4, Module 4, Lesson 5 If you need a protractor you can download and print our printable protractor.Examples, solutions, and videos to help Grade 4 students learn how to use a circular protractor to understand a 1-degree angle as 1/360 of a turn. Use our angle conversion tool to convert from degrees to radians, mils, or grads. Since most protractors have measurements in degrees it is often necessary to use a formula to convert your measurement to radians, mils, or grads. Make a mark on the paper as close as possible to the tick mark.įinally, complete the line by connecting the vertex and the angle mark you just added using the straight edge of the protractor or a ruler. The next step is to locate the tick mark corresponding to either the obtuse or acute angle you wish to draw. Now, align the origin of the protractor with the vertex on the line, then align the base line of the angle with the line on the bottom of the protractor. Step 3: Align the Protractor on the Vertex Next, draw the vertex of the angle at the end of the line. This is the base line or arm of the angle The first step is to draw a straight line on a sheet of paper using the straight edge. Protractors are also great for drawing accurate angles. The measurements should be incrementing in the direction you are measuring. There are two rows of tick marks on a protractor to allow measuring the degrees of angle from either the left or right. If the acute angle is on the right then the tick mark will be on the inside of the curve. If the acute angle is on the left the tick mark will be on the outside, or outer-most edge, of the protractor. This can be used to construct and measure reflex angles. A 360° protractor is designed as a whole circle wherein the readings are from 0° to 360°. With the origin of the protractor aligned over the vertex of the angle and the horizontal edge aligned with one of the lines, find the tick mark along the curve where the line meets. Since a full circle measures 360º, an individual angle has to measure less than 360º, because it is part of a circle. If a line were to meet another line forming two angles, the acute angle would be the smaller angle. Īn acute angle is the smaller angle where a line meets another, or technically any angle that is less than 90°.Īn obtuse angle is the larger angle where a line meets another, or technically any angle that is more than 90°.Ī right angle is an angle that is exactly 90°, which means that the two lines are exactly perpendicular to each other. There are three types of angles that you can find using a protractor: acute, obtuse, and right.
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