Description

Since Algebra is the generalization of arithmetic, we explore arithmetic operations with variables. In this topic, we explore the Laws of Exponents and Scientific Notation; classifying, adding, subtracting, multiplying and dividing polynomials and applications of polynomials to real world scenarios.

Sections of this topic include:

1. Multiplication and Division with Exponents

   We begin how to simplify polynomials by first exploring the laws of exponents. This group includes identifying bases and exponents; writing expressions using exponents; simplifying numeric expressions using laws of exponents; simnplifying numeric and algebraic expressions using laws of exponents; simplifying alebraic expressions using laws of exponents; simplify algebraic expressions using laws of exponents then evaluating with a given number.

2. More on Exponents; Scientific Notation

   Building on our knowledge of laws of exponents; we explore more laws of exponents and scientific notation. This group include simplifying numeric expressions using laws of exponents; simplifying algebraic expressions using laws of exponents; simplifying algebraic expressions using laws of exponents then evaluating with a given number; writing numbers in sicentific notation; writing numbers in decimal notation; writing numbers in scientific notation then simplifying; writing scienfici ntoation numbers from statements; writing numbers in decimal notation from statements.

3. Adding and Subtracting Polynomials

   With a foundation now, we can explore polynomials including how to classify polynomials, and adding and subtracting polynomials. Groups in this section include classifying polynomials; determining if expressions are polynomials; simplifying polynomials; adding poolynomials in a vertical format; subtracting polynomials in a vertical format; and adding and subtracting polynomials in a horizontal format.

4. Multiplying Polynomials

   From adding and subtracting polynomails, we next explore how to multiply polynomails. Groups in this section include multiplying a monomial by a polynomial; finding products and combining like terms; and finding products using the Foil method.

5. Dividing Polynomials

   The last operation to master is to divide polynomials. This group contains dividing expressions by a single term; solving division problems; polynomial long division; and solving applied problems using polynomial long division.

6. More Applications

   This section includes applications of how polynomials and operations with polynomials can be used in the real world.