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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: Successful completion of Pre Algebra.

Collection Semester: 
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New Unit Collection: 
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Unit 1: Solving Equations and Inequalities
New Unit Content: 
  • Properties of Real Numbers
  • The Distributive Property
  • Solving Multi-Step Equations Part 1
  • Solving Multi-Step Equations Part 2
  • Solving Equations with Variables on Both Sides
  • Literal Equations and Formulas
  • Ratios, Rates, and Conversions
  • Solving Proportions
  • Solving Multi-Step Inequalities
  • Compound Inequalities
  • Absolute Value Equations
  • Absolute Value Inequalities
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Unit 2: An Introduction to Functions
New Unit Content: 
  • Using Graphs to Relate Two Quantities
  • Patterns and Linear Functions
  • Patterns and Nonlinear Functions
  • Graphing a Function RulePatterns and Nonlinear Functions
  • Writing a Function Rule
  • Formalizing Relations and Functions
  • Arithmetic Sequences
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Unit 3: Linear Functions
New Unit Content: 
  • Rate of Change and Slope
  • Slope-Intercept Form
  • Point-Slope Form
  • Standard Form
  • Slopes of Parallel and Perpendicular Lines
  • Graphing Absolute Value Functions
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Unit 4: Systems of Equations and Inequalities
New Unit Content: 
  • Solving Systems by Graphing
  • Solving Systems Using Substitution
  • Solving Systems Using Elimination
  • Applications of Linear Systems
  • Linear Inequalities
  • Systems of Linear Inequalities
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Unit 5: Exponential Functions
New Unit Content: 
  • Zero and Negative Exponents
  • Exponential Functions
  • Comparing Linear and Exponential Functions
  • Exponential Growth and Decay
  • Solving Exponential Equations
  • Geometric Sequences
  • Simplifying Radicals
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New Unit Collection: 
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Unit 6: Properties of Exponents
New Unit Content: 
  • Multiplying Powers with the Same Base
  • More Multiplication Properties of Exponents
  • Division Properties of Exponents
  • Rational Exponents and Radicals
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Unit 7: Polynomials and Factoring
New Unit Content: 
  • Adding and Subtracting Polynomials
  • Multiplying and Factoring
  • Multiplying Binomials
  • Multiplying Special Cases
  • Factoring LaTeX: x^2+bx+cx2+bx+cx2+bx+c
  • Factoring LaTeX: ax^2+bx+cax2+bx+cax2+bx+c
  • Factoring Special Cases
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Unit 8: Quadratic Functions and Equations
New Unit Content: 
  • Quadratic Graphs and their Properties
  • Graphing Quadratic Functions
  • Factoring to Solve Quadratic Equations
  • Solving Quadratic Equations
  • Completing the Square
  • The Quadratic Formula and the Discriminant
  • Complex Numbers
  • Linear, Quadratic, and Exponential Models
  • Systems of Linear and Quadratic Equations
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Unit 9: Other Types of Functions
New Unit Content: 
  • Properties of Exponential Functions
  • Graphing Radical Functions
  • Piecewise Functions
  • Step Functions
  • Combining Functions
  • Composition and Inverse Functions
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Unit 10: Data Analysis
New Unit Content: 
  • Frequency and Histograms
  • Measures of Central Tendency and Dispersion
  • Box-and-Whisker Plots
  • Scatter Plots and Trend Lines
  • Two-Way Frequency Tables