Algebra I Online
Course Overview

Course Length:
2 semesters.

Course Credit:
1

Program:
Homeschool Advantage – NFC Academy Teachers (accredited)
Homeschool Plus – Home Teacher (accredited)
Homeschool Basics – Home Teacher (not accredited)

High School:
Grades 912

NCAA Approved

Accredited:
CogniaSACS, Middle States, FACCS
Algebra I is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite course, PreAlgebra.
Within the Algebra I course, the student will explore basic algebraic fundamentals such as evaluating, creating, solving and graphing linear, quadratic, and polynomial functions. Upon completion of the course the student’s goals are to successfully, solve single variable, absolute value, and linear systems of equations; solve and graph single variable, absolute value, and linear inequalities; evaluate, solve, and graph linear and quadratic functions as well as conceptualize the relationship between the independent and dependent variable of a function; understand and know how to apply the distance, midpoint, and slope formulas as well as the Pythagorean theorem; form an equation of a line using the slopeintercept, pointslope and standard forms of a line; organize data in the form of a table or matrix; perform complex matrix operations such as multiplication, evaluating the determinant, and solving a system of linear equations using Cramer’s Rule; apply basic fundamental rules of exponents; be able to construct a formula or equation necessary to solve algebraic word problems involving area, perimeter, and linear systems of equations, basic probability and statistical reasoning, distance, and compounding interest; evaluate rational expressions and solve equations with rational expressions; and, simplify and perform operations with radical expressions and polynomials.
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Course Concepts & Samples
Curriculum Focus
 Foundations of Algebra: Student Will Identify Different Real Number Properties, and How to Use Them to Solve Algebraic Expressions.
 Linear Equations: Student Will Translate Word Problems into Algebraic Equations, and Solve Them Using Real Number Properties, Converting Between Fractions, Decimals, and Percents.
 Functions: Student Will Understand the Characteristics of Functions, How to Plot Them, How To Derive Their Equations, and Determine What Type of Function A Graph Represents.
 Inequalities: Student Will Write, Graph, and Solve Inequalities Using Real Number Properties.
 Linear Systems: Student Will Determine the Solution of A Pair of Linear Equations, Using the Addition Method, Substitution Method And Matrices.
 Polynomials: Student Will Add, Subtract, Multiply, and Divide Monomials and Polynomials, as well as Factor Polynomials, Using Several Different Methods.
 Exponential and Radical Functions: Student Will Simplify Powers of Products, A Power Raised to A Power, and Quotients of Powers, Using the Rule of Exponents, and Add, Subtract, Multiply, and Divide Radical Expressions to Solve Equations.
 Quadratics: Student Will Identify, Write, and Graph Various Triangle, Circle and Quadratic Equations and Inequalities Using the Pythagorean Theorem, and by Factoring, Completing the Square, and Using the Square Root Method.
 Rational Expressions: Student Will Add and Subtract Fractions with Like and Unlike Denominators, Solve Proportions, Equations and Inequalities Containing Rational Expressions, and Solve Different Word Problems Using Rational Equations.
 Probability and Statistics: Student Will Determine the Central Tendencies of A Given Data Set, as well as Evaluate Probability of Possible Outcomes Using Multiple Methods.
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