Math III: Algebra

DESCRIPTION:
This course emphasizes the study of algebra. The course is presented in two semesters.

Semester 1 introduces and defines algebraic terms, the properties of zero and one, variables and constants, fractions, and factoring. It explains the use of powers, roots, and exponents as well as the order of operations. It demonstrates how to solve monomials and polynomials and whole number expressions.

Semester 2 defines, shows how to interpret, and translates equations as well as create and interpret graphs.

CREDITS:
1 Credit

PREREQUISITES:
Math I: General Math
Math II: Consumer Math

STANDARDS:
This course is aligned to the National Council of Teachers of Mathematics (NCTM), Florida Sunshine State Standards, Common Core State Standards Initiative (CCSSI), and the Achieve American Diploma Project Network (ADP) standards.

Math III Semester 1

Algebra Introduction, Terms, Properties of 0 and 1
Number Line/Signed Numbers
Powers/Roots/Exponents
Order of Operations/Integer Operations
Scientific Notation
Integers, Rational Numbers, Integer Operations
Fractions-Least Common Denominator
Patterns and Functions (Function applications)
Monomials and Polynomials
Variables and Constants
Commutative, Associative, and Distributive Properties
Algebraic Expressions
Simplifying and Solving Whole Number Expressions
Inequalities
Factoring-Greatest Common Factor and LCM
Ratio and Proportion

Math III Semester 2

Equations
Interpreting and Translating Equations
Translating and Solving Algebra Word Problems
Logical Sequence when Solving Equations and Like Terms
One-Step Equations
Two-Step Equations
Quadratic Equations
Solving Fractional Equations
Coordinate System-Coordinate Plane, Graphing Coordinates
Distance Between Points
Linear Equations
Slope of a Line
Slope-intercept Form
Point-slope Form
Finding the Midpoint
Scatterplots

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