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Table of Contents
Lines and Angles are an important part of Geometry. It provides the foundations for this subject — a clear mastery of lines and angles will pave the way for a clearer understanding of Geometry later on.
See the fact file below for more information on the lines & angles or alternatively, you can download our 28-page Geometry: Lines & Angles CCSS 4.G.1 worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
LEARNING OBJECTIVE:
- At the end of the lesson, students will be able to draw, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. They will also be able to identify and describe lines, angles, rays, line segments.
A NOTE FOR THE TEACHER:
- When teaching Lines & Angles, keep in mind the following:
- Remind the student every now and then of the types of lines and angles.
- When dealing with drawing lines and angles, it is important to emphasize precision.
- Try to incorporate as many visual aids as possible.
THEORY:
- Lines and Angles are an important part of Geometry. It provides the foundations for this subject — a clear mastery of lines and angles will pave the way for a clearer understanding of Geometry later on.
- LINES, RAYS, AND LINE SEGMENTS
- Line: A line is an infinitely long collection of points extending in opposite directions. When drawing lines, we use arrowheads on each ends to show that they extend indefinitely. They cannot be measured. Lines are named either by using two points in the line (E.g., AB) or simply any lower case letter (E.g., Line a)
- Ray: A ray is a part of a line that extends infinitely in one direction and has one endpoint. Like a line, it cannot be measured. When drawing a ray, one end has an arrowhead (to show that it is extending infinitely) while the other end has an endpoint. Rays are named by their endpoint first, than any other point of the ray.
- Line Segment: A line segment is a part of a line that has two endpoints. It is essentially a segment of a line. The length of a line segment may be measured. When drawing line segments, we attach endpoints to each of the ends of the segment. Line Segments are named by the two endpoints (E.g., CD)
- ANGLES & TYPES OF ANGLES
- Angle: an angle can be defined as the figure formed by two rays meeting at a common endpoint. An angle is represented by the symbol β . The rays which make up the angle are called the arms, while the common endpoint where they meet is called the vertex.
- Types of Angles:
- Right: Right angles are angles that have a measure of exactly 90Β°. They are denoted by a square.
- Obtuse: Obtuse angles are angles which have a measure of more than 90Β° but less than 180Β°
- Acute: Acute angles are which have a measure between 0Β° and 90Β°
- PARALLEL AND PERPENDICULAR LINES
- We have two special kinds of lines, Parallel and Perpendicular Lines.
- Parallel Lines: Parallel lines are two lines that never meet.
- Perpendicular Lines: Perpendicular lines are two lines that meet each other at a certain point. Additionally, at the point where the two lines meet, they create a right angle.
Geometry: Lines & Angles CCSS 4.G.1 Worksheets
This is a fantastic bundle that includes everything you need to know about Geometry: Lines & Angles across 28 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.G.1 for Geometry: Lines & Angles.
Table of contents:
- A lesson plan
- Warm-up activity
- Math theory explained
- Assisted learning activities
- Independent learning activities
- Extension activities and games
- Answer keys
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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.