# ALGEBRA II ACADEMIC LIBRARY

*First Semester*

## Algebra II Online First Semester

##### UNIT 1 – SET, STRUCTURE, AND FUNCTION

- Course Overview
- Properties of Sets
- Operations of Sets
- Quiz 1: Set Theory
- Structure: Axioms
- A Closure Property Over Addition and Multiplication
- Reflexive Property and Symmetry Property
- Solving Equations; Properties of Equality
- Commutative Law of Addition
- Associative Law of Addition
- Commutative and Associative Properties of Addition
- Essential Properties of Addition
- Inverse Property of Addition
- Commutative Law of Multiplication
- Associative Law of Multiplication
- Inverse Property of Multiplication
- Identity Property of 1
- Identity Property of 0

- Structure: Applications
- Relations and Functions: Definitions
- Relations and Functions: Graphs
- Relations and Functions: Domain and Range
- Relations and Functions: Transformations
- Relations and Functions: Function Notation
- Relations and Functions: Operations
- Relations and Functions: Inverses
- Quiz 2: Relations and Function
- Algebraic Expressions: Exponents Part 1
- Algebraic Expressions: Exponents Part 2
- Algebraic Expressions: Multiplication and Division Part 1
- Algebraic Expressions: Multiplication and Division Part 2
*(Use the previous instructional presentations for Exponents to complete this assignment as needed)* - Exponents of Exponential Expressions
- Algebraic Expressions: Combining Terms
- Quiz 3: Algebraic Expressions
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 2 – NUMBERS, SENTENCES, AND PROBLEMS

- Number Order and Absolute Value
- Sums and Products
- Quiz 1: Numbers, Sentences, and Problems
- Solving Equations
- Multiplication Property
- Multi-step Equations
- Equations with Parentheses
- Literal Expressions
- Solving Inequalities
- Graphing Solution Sets for Inequalities (Use the preceding instructional presentations along with those included in this section)
- Compound Sentences
- Quiz 2: Equalities and Inequalities
- Number Problems
- Motion Problems
- Miscellaneous Problems
*(Use the instructional presentations of the previous assignments for this assignment)* - Quiz 3: Problems
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 3 – LINEAR EQUATIONS AND INEQUALITIES

- Line Graphs
- Line Graphs by Two Points
- Slope of Lines Part 1
- Slope of Lines Part 2
- Quiz 1: Lines
- Equations: Point Slope Part 1
- Equations: Point Slope Part 2
- Equations: Point Slope Part 3
- Equations: Slope-Intercept
- General Equation of a Line
- Quiz 2: Equations of a Line
- Solutions for Systems of Equations
- Solutions by Addition
- Solutions by Substitution
- Application of Systems of Equations
- Solving Inequalities
- Solving Two-order Inequalities
- Quiz 3: Solving for Systems
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 4 – POLYNOMIALS

- Products and Factoring
- Multiplying Polynomials by Polynomials
- Using Special Products Part 1
- Using Special Products Part 2
*Use the instructional presentation from the first assignment related to perfect squares to complete this assignment as needed.*

- Factoring Trinomials
- Factoring Special Products Part 1
- Factoring Special Products Part 2
- Quiz 1: Special Products
- Addition and Subtraction Operations
- Division with Polynomials
- Synthetic Division
- The Remainder Theorem
- Graphing Polynomials
- Intro to End Behavior of Polynomials
- How to Graph Polynomial Functions Using End Behavior – Multiplicity, & Zeros
*(This video will be longer than your typical supplementary video)* - How to Graph a Polynomial

- Quiz 2: Polynomials
- Numerical Relationships from Identities
- Direct Variation
- Inverse Variation
- Joint and Combined Variation
- Quiz 3: Working with Variations
- Project: Creating an Algorithm
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 5 – ALGEBRAIC FRACTIONS

- Multiplying and Dividing with Fractions
- Reducing Rational Expressions
- Multiplying Algebraic Fractions
- Dividing Algebraic Fractions
- Quiz 1: Algebraic Fractions
- Adding and Subtracting Rational Expressions
- Addition and Subtraction
- Mixed Expressions and Complex Fractions
- Quiz 2: Addition and Subtraction of Fractions
- Equations with Fractions
- Fractional Equations
- Proportions
- Quiz 3: Fractional Equations
- Graphs of Rational Functions
- Graphs of Rational Functions (2)
*(Videos in the previous assignment may be helpful)* - Applications of Fractions
- Mixture Problems
- Work Problems
- Quiz 4: Problems with Fractions
- Test
- Alternate Test
- Glossary and Credits

##### UNIT 6 – SEMESTER REVIEW AND EXAM

- Review
- Exam
- Alternate Exam—Form A
- Alternate Exam—Form B