Algebra I A-G
EQUATIONS
- Introduction to Equations
- Solving Equations – Adding & Subtracting
- Solving Equations – Multiplying & Dividing
- Two-Step Equations
- Multi-Step & Distributive Part I
- Multi-Step & Distributive Part II
- Equations with Multiple Variables
- Solving Percent Equations
- More Applications
- Rational & Irrational Numbers
LINEAR FUNCTIONS
- Introduction to Linear Functions
- Graphing Coordinate Point
- Relations & Linear Functions Part I
- Relations & Linear Functions Part II
- Direct Variation
- Slope & Rate of Change
- Calculating Slope
- Slope-Intercept Form
- X and Y Intercepts & Standard Form
- Calculate Slope Using DyDx & Intercepts
- Equation of a Line
- Special Lines
- Cost vs. Time Functions
- Distance vs. Time
- Inverse Function
INEQUALITIES & ABSOLUTE VALUE FUNCTIONS
- Introduction to Inequalities & Absolute Value Functions
- Writing Solution Sets
- Graphing 1D
- Solving Multi-Step
- Compound Inequalities
- Solving Compound Inequalities
- Inequalities in 2D
- Absolute Value
- Graphing Absolute Value Functions
EXPONENTIAL FUNCTIONS
- Introduction to Exponents
- The Product Property
- The Quotient Property
- Zero & Negative Exponents
- Fractional Exponents
- Power of a Power Property
- Power of a Product Property
- Power of a Fraction
- Order of Operations with Exponents – Numeric
- Simplifying Algebraic Expressions with Exponents
- Scientific Notation Part I
- Scientific Notation Part II
- Scientific Notation Part III
- Exponential Growth
- Exponential Decay
- Graphing Exponential Functions
POLYNOMIALS
- Introduction to Polynomials
- Adding Polynomials
- Adding & Subtracting Polynomials with More Than One Variable
- Multiplying Polynomials
- Common Factoring
- Factoring Polynomials Using the GCF
- Factoring Perfect Square Trinomials
- Factoring Difference of Squares
- Factoring Trinomials
- Solving Equations Using Factoring
- Graphing the Cubic Function
QUADRATIC FUNCTIONS
- Introduction to Quadratic Functions
- Graphing Quadratic Functions
- Graphing Quadratic Functions – Vertex Form
- Solving Equations with Square Roots
- Solving by Completing the Square
- Converting Quadratic Functions into Vertex Form Using Completing the Square
- The Quadratic Formula
- Complex Numbers
- Complex Solutions
- Graphing Quadratic Inequalities
- Applications of Quadratics
RATIONAL FUNCTIONS
- Introduction to Rational Functions
- Simplifying Rational Expressions
- Adding & Subtracting Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Solving Rational Equations
- Graph of a Rational Function
RADICAL FUNCTIONS
- Introduction to Radical Functions
- Prime Factors
- Square Roots
- Simplifying Radicals – Numerical
- Simplifying Radicals – Algebraic
- Adding & Subtracting Radicals
- Multiplying Radicals
- Dividing Radicals
- Solving Radical Equations
- Graphing Radical Functions
- Piecewise Functions
- Step Functions
TRANSFORMATIONS
- Introduction to Transformations
- Domain of Parent Functions
- Range of Parent Functions
- Translations
- Reflections
- Vertical Stretches & Compressions
- Horizontal Stretches & Compressions
- Summary on Transformations
- Multiple Transformations
SYSTEMS OF EQUATIONS & INEQUALITIES
- Introduction to Systems of Linear Equations & Inequalities
- Graphing Systems of Linear Equations
- Graphing Inequalities
- Graphing Systems of Inequalities
- Evaluating Expressions Using Substitution
- Solving a System of Equations by Substitution
- Solving Systems of Equations by Elimination
- Identifying Types of Systems Using Equations
- Writing an Equation
- Applications of Systems of Equations & Inequalities
- Systems of Linear & Quadratic Equations
- System of Nonlinear Equations
TRIGONOMETRY
- Introduction to Trigonometry
- Sine Ratio
- Cosine Ratio
- Tangent Ratio
- Graphing the Sine Function
- Graphing the Cosine Function
SEQUENCES
- Introduction to Sequences
- Sequences in General
- Arithmetic Sequences
- Geometric Sequences
STATISTICS
- Introduction to Statistics
- Histograms
- Measures of Central Tendencies Part I
- Measures of Central Tendencies Part II
- Scatter Plots
- Box and Whisker Plots
- Measures of Dispersion Part I
- Measures of Dispersion Part II