Measurement and Data: Recognizing Angles CCSS 4.MD.5 Worksheets

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Table of Contents

We know that an angle is a geometric figure. It is found between two connected rays in the same starting point. Angles represent measurements in how one ray is turned away from the other ray in terms of degrees.

See the fact file below for more information on the recognizing angles or alternatively, you can download our 26-page Measurement and Data: Recognizing Angles CCSS 4.MD.5 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE:

At the end of the lesson, the student will learn the parts of an angle to be two rays sharing the same starting point forming a vertex. The student will also learn how to properly name and label angles with the use of letter labels.

A NOTE FOR THE TEACHER:

When recognizing angles, take note of the following:
- Remember that an angle consists of two rays and a common starting point called the vertex.
- Remind the student that angles are measured by degrees.
- A specific angle is not restricted to having only one name and label.

THEORY:

We know that an angle is a geometric figure. It is found between two connected rays in the same starting point. Angles represent measurements in how one ray is turned away from the other ray in terms of degrees.
Consider the figure below.

The ray AB is noted to have a common starting point with the ray AC. Thus, because both rays are connected to the same point, they form an opening or an angle. That point is called the vertex of the angle.
Now, we know that it is an angle.
However, we still do not know how to call the angle.
Basically, angles are also named using the letters involved in both rays.
An angle label starts with the symbol ∠. Then, it is followed by order of letters starting with one endpoint of a ray, then the label of the vertex, ending with the other point of the other ray.
Remember that the angle’s name is dependent mainly on the vertex being in between the two endpoints of both rays.
Consider this angle.

It is composed of the rays FG and FH. The vertex of the angle is F. One endpoint is G, and the other endpoint is H. Thus, we can call the angle ∠GFH or ∠ HFG.
We cannot call it only ∠F because other rays may be connected to the vertex, creating other angles like ∠EFH if a ray FE is made.
Thus, to reiterate, an angle is written as ∠ABC, wherein A and C are endpoints of two connected rays respectively, and B is the vertex in which the rays commonly start with.