Algebra I. Lesson 1
Definitions and Properties (High School)

Lesson Plan

Lesson Preview | Objectives

Lesson Preview

In arithmetic, our job is simple. We work with known numbers only. All the operations in arithmetic are defined for known numbers. Addition, subtraction, multiplication and division, as well as many other operations are applied only to given numbers.

When we take these operations and use them on unknown values instead of known numbers, it yields a new branch of mathematics called algebra. Algebra is a generalized form of arithmetic.

Algebra is one of the most important developments in mathematics. It was developed many centuries ago. Since then it has become a very effective tool in solving quantitative problems.

Most real life problems are solved today using algebra. It is the basis for many subsequent branches of mathematics. Knowing algebra and its logic allows us to solve many problems of everyday life. It can be used in almost every activity that has measurable quantities.

Algebra develops the rules and symbols of arithmetic to manipulate numbers and symbols in an entirely new manner, allowing us to solve problems that would otherwise be impossible to even consider, much less solve.
In this lesson, we will learn the basic concepts and rules of algebra. The examples and samples supplied will help the learner to thoroughly understand the basic algebraic techniques.

Understanding the logic of the algebraic concepts and methods is very important in learning other subjects. We will be describing all the topics in a very simple way. This lesson will introduce you to the most important definitions, identities and equality properties in algebra.
 

Objectives

After studying this lesson, you will know:

      

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