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Syllabus Title: 
Algebra I
Syllabus Description: 

Algebra is everywhere. It’s used for everything from calculating a college’s rank to determining a car loan’s monthly payment. Through this course, you’ll learn how to use algebra to solve everyday life problems, from calculating how much gasoline you’ll need for your summer road trip to graphing college tuition costs. With an in-depth understanding of algebraic principles, including variables, equations, graphing, number properties, polynomials, and more, you’ll gain the necessary problem solving skills to practically apply algebra to real life. PREREQUISITE: Mathematics competency through 7th grade.

Collection Semester: 
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Unit 1: Basic Algebra Principles
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  • Real Numbers and Algebraic Expressions
  • Simplifying Expressions
  • Solving Equations
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Unit 2: Inequalities and Absolute Values
New Unit Content: 
  • Sets, Intersections, and Unions
  • Inequalities and Their Graphs
  • Using Inequalities
  • Solving Equations Involving Absolute Values
  • More Solving Inequalities Involving Absolute Values
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Unit 3: Graphs of Linear Equations
New Unit Content: 
  • Graphing Linear Equations
  • Slope in Graphs and Equations
  • Linear and Nonlinear Equations
  • Finding the Equation of a Line
  • Parallel and Perpendicular Lines, and Linear Inequalities
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Unit 4: Systems of Equations and Inequalities
New Unit Content: 
  • Systems of Linear Equations and Their Graphs
  • Solving Systems of Linear Equations by Substitution
  • Solving Systems of Linear Equations by Elimination
  • Rate, Work, Digit, and Coin Problems
  • Systems of Linear Inequalities
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Unit 5: Exponents, Monomials, and Polynomials
New Unit Content: 
  • Properties of Exponents
  • Monomials
  • Polynomials
  • Factoring Polynomials
  • Factoring Special Polynomials
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Unit 6: Relations, Functions, and Quadratic Equations
New Unit Content: 
  • Introduction to Quadratic Equations and Their Graphs
  • Solving Quadratic Equations by Factoring
  • Solving Quadratic Equations by Completing the Square
  • The Quadratic Formula
  • Applications of Quadratic Equations
  • Functions and Function Notation
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Unit 7: Rational, Radical Expressions, and Equations
New Unit Content: 
  • Rational Expressions
  • Special Rational Equations
  • Rational Equations
  • Radical Expressions
  • Finding Square Roots
  • Radical Equations