Portville Study
Algebra 2
"Pure mathematics is, in its way, the
poetry of logical ideas."
Albert Einstein (1879-1955)
Unit 1
Lesson 1: Variables, Terms, and Expressions
Lesson 2: Solving Linear Equations
Lesson 3: Common Algebraic Expressions
Lesson 4: Basic Exponent Properties
Lesson 5: Multiplying Polynomials
Lesson 6: Using Tables on the Calculator

Unit 2
Lesson 1: Introduction to Functions
Lesson 2.Function Notation
Lesson 3: Function Composition
Lesson 4: The Domain and Range of a Function
Lesson 5: One to One Functions
Lesson 6: Inverse Functions
Lesson 7: Key Features of Functions

Unit 3
Lesson 1: Direct Variation
Lesson 2: The Average Rate of Change
Lesson 3: The Forms of a Line
Lesson 4: Linear Modeling
Lesson 5: Inverses of Linear Functions
Lesson 6: Piecewise Linear Functions
Lesson 7: Solving Systems of Linear Equations

Unit 4
Lesson 1: Integer Exponents
Lesson 2: Rational Exponents
Lesson 3: Exponential Function Basics
Lesson 4: Writing Equations of Exponential Functions
Lesson 5: The Method of Common Bases
Lesson 6: Exponential Modeling with Percent Growth and Decay
Lesson 7: Mindful Percent Manipulations
Lesson 8: Introduction to Logarithms
Lesson 9: Graphs of Logarithms
Lesson 10: Logarithm Laws
Lesson 11: Solving Exponential Equations Using Logarithms
Lesson 12: The Number e and the Natural Logarithm

Unit 5
Lesson 1: Sequences
Lesson 2: Arithmetic and Geometric Sequences
Lesson 3: Summation Notation
Lesson 4: Arithmetic Series
Lesson 5: Geometric Series
Lesson 6: Mortgage Payments

Unit 6
Lesson 1: Quadratic Function Review
Lesson 2: Factoring
Lesson 3: Factoring Trinomials
Lesson 4: Complete Factoring
Lesson 5: Factoring by Grouping
Lesson 6: The Zero Product Law
Lesson 7: Quadratic Inequalities of One Variable
Lesson 8: Completing the Square and Shifting Parabolas
Lesson 9: Modeling with Quadratic Functions
Lesson 10: Equations of Circles
Lesson 11: The Locus Definition of a Parabola

Unit 7
Lesson 1: Shifting Functions
Lesson 2: Reflecting Parabolas
Lesson 3: Vertically Stretching and Compressing Functions
Lesson 4: Horizontal Stretching of Functions
Lesson 5: Even and Odd Functions

Unit 8
Lesson 1: Square Root Functions and Their Graphs
Lesson 2: Solving Square Root Equations
Lesson 3: The Basic Exponent Properties
Lesson 4: Fractional Exponents Revisited
Lesson 5: More Exponent Practice
Lesson 6: The Quadratic Formula
Lesson 7: More Work with the Quadratic Formula

Unit 9
Lesson 1: Imaginary Numbers
Lesson 2: Complex Numbers
Lesson 3: Solving Quadratics with Complex Solutions
Lesson 4: The Discriminant of a Quadratic

Unit 10
Lesson 1: Power Functions
Lesson 2: Graphs and Zeroes of a Polynomial
Lesson 3: Creating Polynomial Equations
Lesson 4: Polynomial Identities
Lesson 5: Introduction to Rational Functions
Lesson 6: Simplifying Rational Expressions
Lesson 7: Multiplying and Dividing Rational Expressions
Lesson 8: Adding and Subtracting Rational Expressions
Lesson 9: Complex Fractions
Lesson 10: Polynomial Long Division
Lesson 11: The Remainder Theorem
Lesson 12: Solving Fractional Equations
Lesson 13: Solving Rational Inequality
Lesson 14: Justifying Steps in Solving Radical and Rational Equations

Unit 11
Lesson 1: Rotations and Angle Terminology
Lesson 2: Radian Angle Measurement
Lesson 3: The Unit Circle
Lesson 4: The Definition of the Sine and Cosine Functions
Lesson 5: More work with Sine and Cosine
Lesson 6: Basic Graphs of Sine and Cosine
Lesson 7: Vertical Shifting of Sinusoidal Graphs
Lesson 8: The Frequency and Period of a Sinusoidal Graph
Lesson 9: Sinusoidal Modeling
Lesson 10: The Tangent Function
Lesson 11: The Reciprocal Trig Functions

Unit 12
Lesson 1: Introduction to Probability
Lesson 2: Sets and Probability
Lesson 3: Adding Probabilities
Lesson 4: Conditional Probability
Lesson 5: Independent and Dependent Events
Lesson 6: Multiplying Probabilities

Unit 13
Lesson 1: Variability and Sampling
Lesson 2: Population Parameters
Lesson 3: The Normal Distribution
Lesson 4: The Normal Distribution and Z Scores
Lesson 5: Sample Means
Lesson 6: Sample Proportions
Lesson 7: The Difference in Sample Means
Lesson 8: Distribution of Sample Means
Lesson 9: Distribution of Sample Proportions
Lesson 10: Margin of Error
Lesson 11: Linear Regression and Lines of Best Fit
Lesson 12: Other Types of Regression
The following eMathInstruction YouTube videos directly align to your daily course instruction and
testing which is founded on New York's Common Core standards for Algebra 2.  If you are looking to
better understand past, current, or future course subjects, these videos can prove significantly
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