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Table of Contents
Once you have familiarized yourselves with the idea of points, lines, and planes, the next thing to consider is the event where two lines or rays meet at a point, creating an angle between them. In this lesson, we will master some terminology and measure and describe angles.
See the fact file below for more information on the Understanding and Measuring Angles or alternatively, you can download our 27-page Understanding and Measuring Angles worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
POINTS, LINES, AND RAYS
- Point
- A point is considered as having no dimensions and only denotes position. It is also said to have no size, length, width, or height and hence no area or volume.
- When we have to mark a position in space on a plane, we represent a point by just a dot (.). There are times when we either draw a circle around it or place an ’x’ mark so that the center of the ‘x’ is the position we wish to represent.
- When a point moves in a fixed direction, the path it creates is a line. A line continues indefinitely in both directions.
- Line
- A line has no beginning point or end point. The arrows indicate that a line is infinite in length.
- Line Segment
- A line segment, though, has a beginning point and an end point. It is a finite or measurable portion of a line. The dots indicate that a line segment has a finite length. The line starts and ends with another dot.
- Ray
- A ray has a beginning point, but no end point. The dot shows the starting point of the ray and the arrow indicates that it has an infinite length.
- When a point moves in a fixed direction, the path it creates is a line. A line continues indefinitely in both directions.
DEFINING ANGLES
- Angle
- An angle is a measure of the rotation or turn of a ray about its fixed point.
- The fixed point is called the vertex, whose plural is vertices.
PROPERTIES OF ANGLES
- Angles are measured in degrees, which is a measure of circularity or rotation.
- A full rotation, which would bring you back to face in the same direction, is 360°. A semi-circle or half-circle is therefore 180°, and a quarter-circle, or right-angle, is 90°.
- Two or more angles on a straight line add up to 180°.
- Two angles whose sum is 180° are called supplementary angles, while two angles whose sum is 90° are called complementary angles.
NAMING DIFFERENT ANGLES
- An angle less than 90° is said to be acute, and one greater than 90° but less than 180° is obtuse.
- An angle of exactly 180° is said to be straight. Angles greater than 180° are called reflex angles.
MEASURING ANGLES
- A protractor is the main instrument used to measure angles.
- Protractors are commonly circular or semi-circular and made of transparent plastic, so that they can be placed over shapes drawn on a piece of paper, letting you take a measurement of the angle.
- It has two scales: (1) the outer scale which starts from 0° to 180° going clockwise, and (2) the inner scale which starts from 0° to 180° going counterclockwise.
HOW TO MEASURE AN ANGLE USING A PROTRACTOR
- To measure angle ABC, we need to:
- Place the center point of the protractor on the vertex B.
- Adjust the baseline of the protractor so that it is aligned with the line BC.
- Read the value of angle ABC, from the inner scale.
Understanding and Measuring Angles Worksheets
This is a fantastic bundle which includes everything you need to know about the Understanding and Measuring Angles across 27 in-depth pages. These are ready-to-use Understanding and Measuring Angles worksheets that are perfect for teaching students about the idea of points, lines, and planes. The next thing to consider is the event where two lines or rays meet at a point, creating an angle between them. In this lesson, we will master some terminology and measure and describe angles.
Complete List Of Included Worksheets
- Lesson Plan
- Understanding and Measuring Angles
- More or Less?
- Complementary Angles
- Supplementary Angles
- Multiple Rays
- Measuring Angles
- Drawing Angles
- Shapes and Angles
- Angles in My Name
- Angle Comics
- Finding Angles
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Link will appear as Understanding and Measuring Angles Facts & Worksheets: https://kidskonnect.com - KidsKonnect, June 29, 2020
Use With Any Curriculum
These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.