The Algebra I course provides the foundational development of algebraic skills and algebraic concepts necessary for students to progress in advanced courses. The Algebra 1 course teaching the understanding of algebraic concepts and the development of algebraic skills in a variety of problem-solving situations. Algebra 1 Topics include: (1) Properties of Real Numbers (2) Operations with Real Numbers, (3) Linear Equations and Inequalities, (4) Understanding Relations and Functions, (5) Systems of Equations and Inequalities, (6) Polynomials, (7) Quadratic Equations and Functions, and (8) Other Nonlinear Equations.

- Introduction to Variables
- Algebraic Expressions and Equations
- Writing Algebraic Expressions and Equations
- Exponents Defined
- Order of Operations
- Evaluating Expressions
- Real Numbers
- Venn Diagram of Real Numbers
- Introduction to Inequalities
- Comparing Two Fractions
- Absolute Value of a Number
- Coordinate Plane Overview
- Midpoint Formula
- Scatter Plot and Correlation
- Measures of Central Tendency (Mean, Median, and Mode)
- Stem-and-Leaf Plots

- Additive Identity and Additive Inverse Properties
- Adding Integers with the Same Sign
- Adding Integers with Different Signs
- Subtracting Integers
- Multiplicative Identity and Multiplicative Inverse
- The Reciprocal of a Number
- Multiplicative Properties of 0 and -1
- Multiplying and Dividing Integers
- Distributive Property
- Combining Like Terms
- Reflexive, Symmetric, Transitive, and Substitution Properties
- Commutative and Associative Properties

- Properties of Equality
- Solving One-Step Equations with Addition and Subtraction
- Solving One-Step Equations with Multiplication and Division
- Dividing by a Fraction or Multiplying by the Reciprocal
- Solving Two-Step Equations
- Solving Multi-Step Equations
- Solving Equations with Variables on Both Sides
- Solving Equations with Fractions
- Solving Equations with Decimals
- Identity Statements and No Solution Statements
- Solving Travel Problems
- Solving Word Problems
- Solving Equations and Formulas for Different Variables
- Consecutive Integer Problems
- Solving Mixture Problems

- Introduction to Inequalities
- Solving One-Step Inequalities with Addition and Subtraction
- Solving One-Step Inequalities with Multiplication and Division
- Solving Mult-Step Inequalities
- Solving Compound Inequalities Involving And
- Solving Compound Inequalities Involving Or
- Solving Absolute Value Equations
- Solving Absolute Value Inequalities
- Determining the Absolute Value Inequality from Graph

- The Coordinate Plane
- Relations
- Relations as Functions - Vertical Line Test
- Function Notation and Evaluating Functions
- Finding the Range of Functions Given Domain Values
- Graphing Functions by Plotting Points (Line, Absolute Value, Quadratic)
- Determining the Equation (Function Rule) of a Function
- Direct Variation
- Inverse Variation
- Combining Direct and Inverse Variation

- Rate of Change and Slope of a Line
- Finding the Slope between Two Points
- Writing Linear Equations in Slope-Intercept Form
- Graphing Linear Equations in Slope-Intercept Form
- Writing Linear Equations in Point-Slope Form
- Graphing Linear Equations in Point-Slope Form
- Standard Form of a Line
- Graphing Linear Equations in Standard Form
- Determining the Equations of Horizontal and Vertical Lines
- Graphing Horizontal and Vertical Lines
- Determining the Equation of a Line Given Two Points
- Parallel and Perpendicular Lines
- Scatter Plots and Lines of Best Fit
- Graphing Absolute Value Equations Using Translations
- Graphing Absolute Value Equations with a?1
- Graphing Absolute Value Equations

- Solving a System of Equations by Graphing
- Solving a System of Equations by Substitution
- Solving a System of Equations by Elimination
- Solving a System by Elimination by Multiplying First
- Solving Mixture Problems Using a System of Equations
- Solving Word Problems with a System of Equations
- Graphing Linear Inequalitites
- Solving a System of Linear Inequalities
- Writing a System of Linear Inequalities for a Graph

- Zero and Negative Exponents Property
- Product of Powers (Multiplying Like Bases)
- Quotient of Powers (Dividing Like Bases)
- Powers of a Power (Raising a Power to a Power)
- Powers of a Product (Raising a Product to a Power)
- Powers of a Quotient (Raising a Quotient to a Power)
- Scientific Notation Exponential Problems
- Exponential Functions
- Graphing Exponential Functions
- Graphing Exponential Functions Using Translations
- Exponential Growth
- Compound Interest
- Exponential Decay

- Factors and Prime Factorization of Numbers
- Finding the GCF Using Prime Factorization
- Factoring out the GCF
- Factoring by Grouping
- Factoring Trinomials in the form x2 ± bx + c
- Factoring Trinomials in the form x2 ± bx - c
- Factoring Trinomials (ax2 ± bx + c)
- Factoring Trinomials (ax2 ± bx - c)
- Factoring Trinomials in the form ax2 + bxy + cy2
- Factoring the Difference of Two Perfect Squares
- Factoring Polynomials Completely
- Perfect Square Trinomials (a = 1)
- Perfect Square Trinomials (a ? 1)

- Quadratic Equations Introduction
- Introduction to Graphing Quadratic Functions
- Finding the Vertex and Axis of Symmetry for a Quadratic Function
- Graphing Quadratic Functions
- The Zeros and Roots of a Quadratic Function
- Solving Quadratics by Taking the Square Root
- Solving Quadratic Equations by Factoring (Zero Product Rule)
- Solving Quadratic Equations by Using the Quadratic Formula
- The Discriminant
- Completing the Square by Creating a Perfect Square Trinomial
- Solving Quadratic Equations by Completing the Square
- Graphing Quadratic Fuctions Using Translations
- Graphing Quadratic Functions with a ? 1
- Graphing Quadratic Functions
- Graphing Quadratic Inequalities

- Simplifying Rational Expressions - Opposite Factors
- Excluded Values of Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Dividing Polynomials Using Distributive Property
- Dividing Polynomials Using Long Division
- Adding and Subtracting Rational Expressions with Like Denominators
- Finding the LCD of Rational Expressions
- Adding and Subtracting Rational Expressions with Unlike Denominators
- Solving Rational Equations
- Graphing Rational Functions Using Horizontal and Vertical Asymptotes

- Simplifying Radical (Square Root) Expressions (Product Property)
- Multiplying Radical (Square Root) Expressions
- Dividing Radical (Square Root) Expressions (Quotient Property)
- Rationalizing the Denominator and Conjugate Pairs
- Adding and Subtracting Radicals (Square Roots)
- Distributing and FOILing with Radicals (Square Roots)
- Solving Radical (Square Root) Equations
- Solving Radical (Square Root) Equations with Radicals on Both Sides
- Finding the Domain of Radical (Square Root) Functions
- Graphing Radical (Square Root) Functions Using Translations
- Graphing Radical (Square Root) Functions with a ? 1
- Graphing Radical (Square Root) Functions
- Distance Formula
- Pythagorean Theorem