Algebra I Online


Course Overview

  • Course Length:

    2 semesters.

  • Course Credit:


  • Program:

    Homeschool Advantage – NFC Academy Teachers (accredited)

    Homeschool Plus – Home Teacher (accredited)

    Homeschool Basics – Home Teacher (not accredited)

  • High School:

    Grades 9-12

  • NCAA Approved
  • Accredited:

    Cognia-SACS, 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, Pre-Algebra.

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 slope-intercept, point-slope 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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