Algebra Readiness (Pre-Algebra) pair of angles unit 5 lesson 1
In Unit 5 Lesson 1 of Algebra Readiness (Pre-Algebra), students learn about pairs of angles.
An angle is formed by two rays with a common endpoint, called the vertex. In this lesson, students focus on two angles that share a common vertex and a common side, called adjacent angles.
If the non-common sides of adjacent angles form a straight line, they are called a linear pair. Linear pairs always add up to 180 degrees.
If two angles have the same measure, they are called congruent angles. Congruent angles have the same number of degrees and are denoted by the symbol ≅.
If two angles are next to each other and do not form a linear pair, they are called adjacent non-linear angles. These angles do not have any special properties beyond being adjacent.
Students will learn to identify different types of angles, measure angles using a protractor, and find missing angle measures using subtraction or addition. They will also learn how to write and solve equations involving angle measures.
In Unit 5, Lesson 1 of Algebra Readiness (Pre-Algebra), the topic is pairs of angles. In this lesson, you will learn about different types of angles and how they are related to each other. Here is a step-by-step breakdown of the main concepts covered in this lesson:
1. Introduction to Angles:
- An angle is formed when two rays share a common endpoint called the vertex.
- The two rays are called the sides of the angle.
- Angles are typically measured in degrees.
2. Types of Angles:
- Right Angle: A right angle measures exactly 90 degrees. It forms a perfect "L" shape.
- Acute Angle: An acute angle measures less than 90 degrees.
- Obtuse Angle: An obtuse angle measures greater than 90 degrees but less than 180 degrees.
- Straight Angle: A straight angle measures exactly 180 degrees. It forms a straight line.
- Reflex Angle: A reflex angle measures greater than 180 degrees but less than 360 degrees.
3. Angle Relationships:
- Adjacent Angles: These are two angles that share a common side and common vertex, but do not overlap.
- Vertical Angles: These are a pair of non-adjacent angles formed by two intersecting lines. Vertical angles are congruent, meaning they have the same measure.
- Complementary Angles: These are two angles whose measures add up to 90 degrees.
- Supplementary Angles: These are two angles whose measures add up to 180 degrees.
4. Examples and Practice:
- The lesson will provide examples and practice problems to help you understand and apply the concepts discussed.
- You may be asked to identify angle types, find missing angle measures, or determine angle relationships.
It's important to review the lesson material, understand the definitions and key concepts, and practice solving problems. This will help you gain proficiency in working with pairs of angles.