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ALGEBRA II ACADEMIC LIBRARY 

First Semester

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Algebra II Online

Algebra II is a full-year, high school math course intended for the student who has successfully completed the prerequisite course Algebra 1. This course focuses on algebraic techniques and methods in order to develop student understanding of advanced number theory, concepts involving linear, quadratic and polynomial functions, geometric concepts, basic trigonometric identities, and pre-calculus theories.

Working together to provide the most comprehensive helps to our students, NFC Academy provides this Academic Library of videos which give to the student additional examples and instruction of daily concepts.

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Algebra II Online First Semester

UNIT 1 – SET, STRUCTURE, AND FUNCTION
  1. Course Overview
  2. Properties of Sets
    1. Introduction to Set Theory
    2. Intersection and union of sets   
    3. Basic Set Theory
    4. Number Sets ​
    5. Subset, Strict Subset and Superset
  3. Operations of Sets
    1. Intersection and Union of Sets
  4. Quiz 1: Set Theory
  5. Structure: Axioms
    1. A Closure Property Over Addition and Multiplication
    2. Reflexive Property and Symmetry Property
    3. Solving Equations; Properties of Equality
    4. Commutative Law of Addition  
    5. Associative Law of Addition    
    6. Commutative and Associative Properties of Addition
    7. Essential Properties of Addition
    8. Inverse Property of Addition  
    9. Commutative Law of Multiplication 
    10. Associative Law of Multiplication  
    11. Inverse Property of Multiplication  
    12. Identity Property of 1  
    13. Identity Property of 0  
  6. ​Structure: Applications​​
  7. Relations and Functions: Definitions
    1. Testing if a Relationship Is a Function 
    2. Relations and Functions  
    3. Relations and Functions
  8. Relations and Functions: Graphs
    1. Relations and Functions (Repeat) 
    2. Relations and Functions
    3. Recognizing Functions (example 2)  
    4. Recognizing Functions (example 3)  
  9. Relations and Functions: Domain and Range
    1. Intervals and interval notation  
    2. What is the domain of a function  
    3. What is the range of a function  
  10. Relations and Functions: Transformations
    1. Transformation of Parent Function
  11. Relations and Functions: Function Notation
    1. Introduction to Functions
    2. Function Notation
    3. Function Notation
  12. Relations and Functions: Operations
    1. Operations on Functions
  13. Relations and Functions: Inverses
    1. Inverse of a Function
  14. Quiz 2: Relations and Function
  15. Algebraic Expressions: Exponents Part 1
    1. Exponent Rules Part 1
    2. Exponent Rules Part 2  
  16. Algebraic Expressions: Exponents Part 2
    1. Negative Exponents   
  17. Algebraic Expressions: Multiplication and Division Part 1
    1. Multiplying Exponents
    2. Exponent Properties Involving Quotients 
    3. Division of Exponents
  18. Algebraic Expressions: Multiplication and Division Part 2 (Use the previous instructional presentations for Exponents to complete this assignment as needed)
  19. Exponents of Exponential Expressions
    1. Ex 1: Simplify Exponential Expressions – Positive Exponents Only
    2. Ex 2: Simplify Exponential Expressions – Positive Exponents Only
    3. ​Ex: Simplify Exponential Expressions Using the Power Property of Exponents
  20. Algebraic Expressions: Combining Terms
    1. Combining Like Terms  
    2. Combining Like Terms and Distributive Property  
    3. Simplifying Expressions ​
  21. Quiz 3: Algebraic Expressions
  22. Test
  23. Alternate Test
  24. Glossary and Credits
UNIT 2 – NUMBERS, SENTENCES, AND PROBLEMS
  1. Number Order and Absolute Value
    1. Absolute Value and Number Lines  
    2. Absolute Value 1  
  2. Sums and Products
    1. Example: Adding Integers with Different Signs  
    2. Example: Adding Negative Numbers  
    3. Adding and Subtracting Negative Numbers 
    4. Multiplying and Dividing Negative Numbers 
    5. Why a Negative Times a Negative Is Positive  
    6. Dividing Positive and Negative Numbers   
  3. Quiz 1: Numbers, Sentences, and Problems
  4. Solving Equations
    1. Why We Do the Same Things To Both Sides: Simple Equations  
    2. Adding and Subtracting the Same Thing from Both Sides
  5. Multiplication Property
    1. Multiplication Property of Equality
  6. Multi-step Equations
    1. Variables on Both Sides  
    2. Two Step Equations  
    3. Solving ax+b=c 
  7. Equations with Parentheses
    1. Solving Equations with Parentheses
    2. Solving Algebraic Equations with Parentheses
  8. Literal Expressions
    1. Solving for a Variable  
    2. Rearrange Formulas To Isolate Specific Variables 
    3. Solving Linear Equations Substitution Method
    4. Solve Equations With More Than One Variable
  9. Solving Inequalities
    1. One Step Inequality Involving Addition  
    2. Inequalities Using Addition and Subtraction
    3. ​Solving Linear Inequalities in One Variable
    4. Solving One Step Linear Inequalities One Variable
  10. ​Graphing Solution Sets for Inequalities (Use the preceding instructional presentations along with those included in this section)
    1. Two-Step Inequality Example 
    2. Multi-Step Inequalities  
  11. Compound Sentences​
    1. Compound Inequality
    2. Solve a Compound Inequality Involving AND (Intersection)
    3. Solve a Compound Inequality Involving OR (Union)
    4. Compound Inequalities 2  
  12. Quiz 2: Equalities and Inequalities
  13. Number Problems
    1. Algebra Word Problems
    2. How To Interpret Hard Word Problems In Algebra  
  14. ​Motion Problems
    1. Motion Word Problems
    2. Algebra Help: Motion Problems
    3. Distance Word Problems 1
  15. Miscellaneous Problems (Use the instructional presentations of the previous assignments for this assignment)
  16. Quiz 3: Problems
  17. ​Test
  18. Alternate Test
  19. Glossary and Credits
UNIT 3 – LINEAR EQUATIONS AND INEQUALITIES
  1. Line Graphs
    1. Ordered Pair Solutions of Equations 
    2. Ordered Pair Solutions of Equations 2 
    3. Plotting x,y Relationships  
  2. Line Graphs by Two Points
    1. Graphs of Linear Equations 
  3. Slope of Lines Part 1
    1. Slope of a Line  
    2. Slope of a Line 2  
  4. Slope of Lines Part 2
    1. Introductory Algebra Slope Horizontal and Vertical
    2. Find the Slope of Vertical and Horizontal Lines
    3. Finding a Missing Coordinate Given Slope and Two Points (Method 2)
    4. Finding a Missing Coordinate Given Slope and Two Points (Method 1)
  5. Quiz 1: Lines
  6. Equations: Point Slope Part 1
    1. Intro to Point Slope Form 
    2. Idea Behind Point-Slope Form  
    3. Point Slope Form of a Line
  7. Equations: Point Slope Part 2
    1. Finding Equations of Lines ​
    2. Point-Slope Form  
  8. ​Equations: Point Slope Part 3
    1. Find the Equation of a Line Using Point Slope Form
  9. Equations: Slope-Intercept
    1. Graphing a Line In Slope Intercept Form  
    2. Lines in the form y= mx+b Slope Intercept Form
    3. Slope Intercept Form of a Line
    4. Converting To Slope Intercept Form  
    5. Slope Intercept Form y= mx+b
    6. X Intercepts and Y Intercepts
  10. General Equation of a Line
    1. Intro to linear equation standard form ​ 
    2. Graph a Linear Equation in General (Standard) Form
    3. Point Slope Form  
    4. Graph a Linear Equation in Standard Form
  11. Quiz 2: Equations of a Line
  12. Solutions for Systems of Equations
    1. Solving Systems by Graphing
    2. Solving Equations By Elimination
  13. Solutions by Addition
    1. Solving Systems of Equations By Elimination 
    2. Solving Systems of Equations By Multiplication  
  14. Solutions by Substitution
    1. Solving Linear Systems by Substitution  
  15. Application of Systems of Equations
    1. Solving Linear Systems by Substitution
  16. Solving Inequalities
    1. Solving and Graphing Linear Inequalities In Two Variables 1  
    2. Graphing Linear Inequalities in Two Variable Examples 2  
    3. Alg1 – Week 14 – 6-5 Linear Inequalities
    4. Alg1 – Week 14 – 6-6 Systems of Linear Inequalities
    5. Lesson – Graphing Linear Inequalities Video Lesson
  17. Solving Two-order Inequalities
    1. Alg1 – Week 14 – 6-6 Systems of Linear Inequalities Review 
  18. Quiz 3: Solving for Systems
  19. ​Test
  20. Alternate Test
  21. Glossary and Credits
UNIT 4 – POLYNOMIALS
  1. Products and Factoring
    1. Terms Coefficient and Exponents In a Polynomial – Basic Review 
    2. Exponent Rules 1 – Review  
    3. Exponent Rules 2 – Review 
  2. Multiplying Polynomials by Polynomials
    1. Multiplying Monomials by Polynomials  
    2. Multiply Polynomials
    3. Algebra I Help: Multiplying Polynomials
    4. How to: Multiply Polynomials (F.O.I.L)  ​ 
  3. Using Special Products Part 1
    1. Example: Factoring Perfect Square Trinomials  
    2. Factoring Perfect Square Trinomials – Ex1
    3. Factoring Perfect Square Trinomial
    4. Example 1: Factoring Difference of Squares
  4. Using Special Products Part 2
    1. Use the instructional presentation from the first assignment related to perfect squares to complete this assignment as needed.
  5. Factoring Trinomials
    1. Factoring Trinomials Completely, Part 1 of 2
    2. Factoring Trinomials Completely, Part 2 of 2
  6. Factoring Special Products Part 1
    1. Example Basic Grouping  
    2. How to Factor Trinomials ax^2+bx+c 
    3. Factoring Trinomials in the form ax²+bx+c with Leading Coefficient of 1 – Basics ​
    4. Example 2: Factoring by Grouping  
  7. Factoring Special Products Part 2
    1. Factoring the Sum and Difference of Perfect Cubes
    2. Factoring the Sum and Difference of Perfect Cubes
  8. Quiz 1: Special Products
  9. Addition and Subtraction Operations
    1. Adding Polynomials  
    2. Subtracting Polynomials
    3. Adding and Subtracting Polynomials 3    
  10. Division with Polynomials
    1. Polynomial Division 
    2. Dividing Polynomial 1  
  11. Synthetic Division
    1. Synthetic Division  
    2. Synthetic Division Example 2  
    3. Why Synthetic Division Works  
  12. The Remainder Theorem
    1. Intro to the Polynomial Remainder Theorem
    2. Using the Polynomial Remainder Theorem: Find Remainders  
  13. Graphing Polynomials
    1. Intro to End Behavior of Polynomials  
    2. How to Graph Polynomial Functions Using End Behavior – Multiplicity, & Zeros (This video will be longer than your typical supplementary video)
    3. How to Graph a Polynomial
  14. Quiz 2: Polynomials
  15. Numerical Relationships from Identities
    1. Pythagorean Triplets – An Introduction
    2. Pythagorean Triples – MathHelp.com- Geometry Help
  16. Direct Variation
    1. Direct and Inverse Variation  
    2. Recognizing Direct and Inverse Variation 
    3. Direct and Inverse Variation
    4. Direct Variation
    5. Direct Variation
  17. Inverse Variation
    1. Direct and Inverse Variation – Review if needed 
    2. Recognizing Direct and Inverse Variation – Review if needed 
    3. Direct and Inverse Variation
    4. Inverse Variation
  18. Joint and Combined Variation
    1. Joint and Combined Variation
    2. Joint Variation
    3. Joint Variation
    4. Combined Variation
  19. Quiz 3: Working with Variations
  20. Project: Creating an Algorithm
  21. Test
  22. Alternate Test
  23. Glossary and Credits
UNIT 5 – ALGEBRAIC FRACTIONS
  1. ​Multiplying and Dividing with Fractions
    1. How to Multiply and Divide Fractions in Algebra For Dummies – A Basic Review
    2. Zero, Negative, and Fractional Exponents 
    3. Multiplying and Dividing Rational Expressions
    4. Negative Exponents
  2. Reducing Rational Expressions
    1. Simplifying Rational Expressions – Introduction 
    2. Simplifying Rational Expressions 1  
    3. Simplifying Rational Expressions 2  
    4. Finding Excluded Values of Rational Expressions
  3. Multiplying Algebraic Fractions
    1. Multiplying and Simplifying Rational Expressions  
    2. Multiplying and Dividing Rational Expressions 1 
  4. Dividing Algebraic Fractions
    1. Multiplying and Dividing Rational Expressions 2  
    2. Multiplying and Dividing Rational Expressions 3  
  5. Quiz 1: Algebraic Fractions
  6. Adding and Subtracting Rational Expressions
    1. Adding and Subtracting Rational Expressions: Like Denominators  
    2. Adding and Subtracting Rational Expressions
    3. Adding Rational Expressions: Unlike Denominators   
    4. Subtracting Rational Expressions: Unlike Denominators   
  7. Addition and Subtraction​
    1. Adding and Subtracting Rational Expressions  ​
  8. Mixed Expressions and Complex Fractions
    1. Algebra I – Mixed Expressions & Complex Fractions
    2. Mixed Expression and Complex Fraction 
    3. Mixed Expressions
    4. Simplify Complex Fractions
    5. Simplifying Complex Fractions
    6. Simplify Complex Rational Expressions
  9. Quiz 2: Addition and Subtraction of Fractions
  10. Equations with Fractions
    1. Art of Problem Solving: Linear Equations with Fractions Part 2
    2. ​Algebra II Lesson I.7 Solving Linear Equations with Fractions
  11. Fractional Equations
    1. Solving Fractional Equations Part 1
    2. Solving Fractional Equations Part 1 Day 2
  12. Proportions
    1. What are the Means and Extremes of Proportions?
    2. What is a Proportion?
    3. Fractions & Proportions : Solving Proportions
    4. How to Solve Equations by Factoring With Fractions : Fractions 101
    5. Understanding Fraction Proportions
  13. Quiz 3: Fractional Equations
  14. Graphs of Rational Functions
    1. Graphing of Rational Functions 1  
    2. Graphing of Rational Functions 2  
    3. Graphing Rational Functions 3  
    4. Graphing Rational Functions 4  
  15. Graphs of Rational Functions (2) (Videos in the previous assignment may be helpful)
    1. Finding Slant Asymptotes
  16. Applications of Fractions
    1. Beginning Algebra & Rate Time Distance Problems
    2. Motion Word Problems
    3. Algebra Help: Distance Rate and Time
  17. Mixture Problems
    1. Algebra – Word Problems – Mixture Problems (1 of 5)
    2. Algebra – Word Problems: Mixture Problems (2 of 5)
    3. Algebra – Word Problems – Mixture Problems (3 of 5)
    4. Algebra – Word Problems – Mixture Problems (4 of 5)
    5. Algebra – Word Problems – Mixture Problems (5 of 5)
  18. ​Work Problems
    1. Work Problem 1-Intro
    2. Work Problem 2
    3. Work Problem 3
    4. Work Problem 4
  19. Quiz 4: Problems with Fractions
  20. ​Test
  21. Alternate Test
  22. Glossary and Credits
UNIT 6 – SEMESTER REVIEW AND EXAM
  1. Review
  2. Exam
  3. Alternate Exam—Form A
  4. Alternate Exam—Form B