This course begins with a review of Algebra I topics and introduces the following new topics: matrices, complex numbers, exponential and logarithmic functions, conic sections, higher degree polynomial functions, sequences and series, and trigonometry. This course is required for students who are planning to attend most post-secondary institutions.

## Algebra II

**1- Introduction **

1- Introduction

2- Completing Math Assessments

3- Algebra II On The Web

4- Understanding Plagiarism

5- Pretest

Assignment: Pretest

6- MLA Formatting Word 2007

7- MLA Documentation updates

8- MLA Citation

9- MLA Incorporating Sources

**2- Integer Exponents **

1- Definition of Exponents

2- Zero and One

3- Negative Exponents

4- Grouping

5- Multiplying Like Bases

6- Dividing Like Bases

7- Exponents Raised to a Power

8- Simplifying Expressions

9- Simplifying Expressions, Continued

Handout: Integer Exponents Worksheet

Assignment: Integer Exponents

**3- Scientific Notation **

1- Scientific Notation

2- Scientific Notation, Continued

Quiz: Writing Scientific Notation

3- Multiplying with Scientific Notation

4- Dividing with Scientific Notation

Handout: Operations with Scientific Notation Worksheet

Assignment: Operations with Scientific Notation

**4- Radicals **

1- Definition of Square Root

2- Definition of Nth Root

3- Simplifying Radical Expressions

Handout: Simplifying Radical Expressions Worksheet

Assignment: Simplifying Radical Expressions

4- Adding & Subtracting Radical Expressions

5- Multiplying Radical Expressions

6- Dividing Radical Expressions

Handout: Operations With Radical Expressions Worksheet

Assignment: Operations With Radicals Expressions

**5- Rational Exponents **

1- Rational Exponents

2- Simplifying Rational Exponents

3- Operations with Rational Exponents

Handout: Rational Exponents Worksheet

Assignment: Rational Exponents

**6- Polynomials **

1- Defining Terms

2- Standard Form

3- Types of Polynomials

4- Combining Like Terms

5- Multiplying Polynomials

6- Monomial

7- Binomial Squared

8- Product of Sum and Difference

9- Polynomial

10- Binomial Cubed

Handout: Basic Polynomial Operations Worksheet

Assignment: Basic Polynomial Operations

**7- Factoring Polynomials **

1- Factoring Polynomials

2- Identify the GCF

3- Factoring a Polynomial

4- Example

5- Factoring Trinomials

6- Example 5

7- Example 6

8- Factoring Trinomials of the Form

9- Example 7

10- Example 8

11- Prime Polynomials

12- Factoring a Perfect Square

13- Factoring a Difference of Two Squares

14- Factoring Sum of Two Cubes

15- Factoring Difference of Two Cubes

16- Factoring Strategy

17- Example 16-17

18- Example 18-19

19- Example 20

Handout: Factoring Polynomials Worksheet

Assignment: Factoring Polynomials

**8- Simplifying Rational Expressions**

1- Rational Expressions

2- Principle Rational Expressions

3- Excluded Value

4- Example 3

Handout: Simplifying Rational Expressions Worksheet

Assignment: Simplifying Rational Expressions

**9- Multiplying and Dividing Rational Expressions **

1- Multiply/Divide Rational Expressions

2- Example 1

3- Example 2

4- Dividing Rational Expressions

5- Example 4

Handout: Multiplying & Dividing Rational Expressions Worksheet

Assignment: Multiplying & Dividing Rational Expressions

**10- Adding and Subtracting Rational Expressions **

1- Adding or Subtracting Rational Expressions

2- Example 1

3- Example 2

4- Least Common Denominator

5- Example 3

6- Example 4

Handout: Adding & Subtracting Rational Expressions Worksheet

Assignment: Adding & Subtractracting Rational Expressions

**11- Complex Rational Expressions**

1- Complex Fraction

2- Example 1

3- Example 2

4- Method II

5- Example 4

Handout: Complex Rational Expressions Worksheet

Assignment: Complex Rational Expressions

**12- Complex Numbers**

1- Complex Number

Handout: Complex Adding and Subtracting

Assignment: Complex Adding and Subtracting

2- Multiplying Complex Numbers

3- Example 3

4- Dividing Complex Numbers

5- Example 5

6- Example 6

Handout: Complex Multiply and Divide

Assignment: Complex Multiply and Divide

7- Principle Square Root

8- Example 9

9- Example 10 – 11

**13- Test Chapter 2-12**

1- Test on Chapters 2-12

Handout: Test #1

Assignment: Test #1

**14- Linear Equation in One Variable**

1- Equations

2- Properties of Equality

3- Multiplication and Division

4- Solving a Linear Equation

5- Examples 5-6

6- Identity

7- Conditional Equation

Handout: Solving Linear Equations

Assignment: Solving Linear Equations

**15- Equations with Rational Expressions**

1- Solving Rational Equations

2- Example 1

3- Examples 2-3 Removing the fractions

Handout: Rational Equations

Assignment: Rational Equations

**16- Formulas and Applications **

1- Translating English Phrases to Algebraic Expressions

2- Formulas & Applications Examples 1-2

3- Formulas and Applications Examples 3-4

Worksheet: Translating Verbal & Algebraic Expressions

4- Four Steps to Problem Solving

5- Numeric Word Problems

6- Understanding the problem

7- Consecutive Integers

8- Integers Example 8-9

9- Rectangle Problem

10- Percent Problems

11- Solving Formulas for Specific Variables

Handout: Word Problems

Assignment: Word Problems

Worksheet: Solving Formulas for Variables

**17- Quadratic Equations**

1- Quadrartic Characteristics

2- Quadratic Equation

3- Solving Quadric Equations by Factoring

4- Quadratic example 1-2

5- Quadratic Formula Example 3

6- Square Root Method

7- Square Root Method example 5 & 6

8- Quadratic Equations by Completing the Square

9- Example 7 Quadric Equation

10- Quadratic Equation Example 8

11- Solving by Quadratic Formula

12- Example 10 Solving Quadratic Equations by Quadratic Formula

13- Discriminant

14- Finding the Discriminant

15- Find the Discriminant (cont)

Handout: Solving Quadratics

Assignment: Solving Quadratics

**18- Solving Polynomial Equations by Factoring**

1- Factoring Polynomial Equations

2- Polynomial Equations solved by Factoring Examples

3- Polynomial Equations solved by Factoring Examples(cont)

Handout: Solve Polynomial Equations by Factoring

Assignment: Solve Polynomial Equations by Factoring

**19- Radical Equations Involving Rational Exponents **

1- Solving Radical Equations

2- Radical Equation Examples

3- Radical Equations (examples) cont

4- Equations that have Rational an Exponent

5- Equations with Rational Exponents (cont)

Handout: Radical Equations

Handout: Equations with Rational Exponents

Assignment: Radical Equations

Assignment: Equations with Rational Exponents

**20- Equations that are Quadratic in Form **

1- Solving Equations in Quadratic Form

2- Quadratic Equation Example

3- Quadratic Equation Examples(cont)

4- Quadratic Equations Example 3

Handout: Equations that are Quadratic in Form

Assignment: Equations that are Quadratic in Form

**21- Absolute Value Equations**

1- Absolute Value

2- Solving an Absolute Value Equation

3- Absolute Value Equations (cont)

4- Absolute Value Equation Example

Handout: Solving Absolute Value Equations

Assignment: Solving Absolute Value Equations

**22- Linear Inequalities **

1- Inequality Signs

2- Interval Notation

3- Open/Closed Interval

4- Combining Open/Closed Intervals

5- Add/Sub Property for Inequalities

6- Multiplication/Division Properties for Inequalities

7- Strategy for Solving a Linear Inequality

8- Strategy for Solving a Linear Inequality(cont)

9- Solving a Compound Inequality

10- Solving an Absolute Value Inequality

11- Solving in Interval Notation

12- Solve in Interval Notation (cont)

Handout: Linear Inequalities

Assignment: Linear Inequalities

**23- Quadratic/Rational Inequalities **

1- Quadratic Inequalities

2- Quadratic inequalities in Standard form(example)

3- Quadratic Inequalities(example 2)

4- Test Point Method

5- Test Point Method Example

6- Test Point method example(cont)

Handout: Quadratic Inequalities

Assignment: Quadratic Inequalities

**24- Mid-Term**

1- Test on Chapters 14-23

Handout: Test #2

Assignment: Test #2

2- Midtest

Assignment: Midtest

**25- Slope of a Line**

1- Slope Formula

2- Slope of a Line

Worksheet: Slope

**26- Equations of Lines **

1- X and Y Intercepts

2- Point/Slope Form of an Equation

3- Slope/Intercept Equation of a Line

4- Slope/Intercept examples

Handout: Equations of Lines

Assignment: Equations of Lines

**27- Graphing Lines **

1- Slope

2- Slope/Intercept Equation of a Line

3- Graphing A Line Using the y-intercept and Slope

4- Slope and Y-intercept examples

5- Slope intercept examples

6- Vertical/Horizontal Lines

Handout: Graphing Lines

Assignment: Graphing Lines

**28- Parallel and Perpendicular Lines**

1- Parallel Lines and Their Slopes

2- Perpendicular Lines/Their Slopes

3- Point/Slope Form of an Equation

Handout: Parallel and Perpendicular

Assignment: Parallel and Perpendicular

**29- Circles**

1- Equation of a Circle

2- Equation of Circles (examples)

3- General Form of an Equation of a Circle

4- General Form of Equation(examples)

5- General Form of Equations Examples(Cont)

Handout: Circles

Assignment: Circles

**30- Introduction to Functions**

1- Functions

2- Functions (examples)

3- Function Notation

4- Constant Function

5- Compound Function

6- Find the Domain

Handout: Intro to Functions

Assignment: Intro to Functions

**31- Operations with Functions**

1- Operations with Functions

2- Composite Function

3- Composite Functions (cont)

Handout: Composition of Functions

Assignment: Composition of Functions

**32- Graphs of Functions, Part I**

1- Transformations & Variation

2- Graphs of Functions

3- Graphs of Functions (examples)

4- Graphing Examples

5- Graphing Examples(cont)

Handout: Graphs of Functions, Part 1

Assignment: Graphs of Functions, Part 1

**33- Graphs of Functions, Part II **

1- Graphing Functions Part 2

2- Graphs of Functions (examples)

3- Vertical Line Test

4- Increasing

5- Decreasing

6- Constant

7- Restricted Intervals

8- Even Function

9- Odd Function

10- Greatest Integer Function

11- Graphing Polynomials

Handout: Graph Behavior

Assignment: Graph Behavior

**34- Test Chapters 25-33**

1- Test on Chapters 25 – 33

Handout: Test #3

Assignment: Test #3

**35- Polynomial Division**

1- Descartes Rule of Signs and Rational Roots

2- Dividing Polynomials

3- Remainder Theorem

Handout: Long and Synthetic Division

Handout: Division and Roots

Assignment: Long and Synthetic Division

Assignment: Division and Roots

**36- Exponential and Logarithmic Function**

1- Exponential & Log Characteristics

2- Solving Basic Exponential

3- Solving with Logs

Handout: Exponential & Logs

Assignment: Exponential & Logs

**37- Solving Systems of Equations **

1- Solve Systems of Equations: Graphically

Handout: Solve Systems of Equations Graphically

Assignment: Solve Systems of Equations Graphically

2- Solve Systems of Equations: Algebraically

Handout: Solve Systems of Equations Algebraically

Assignment: The Break-Even Point

Assignment: Solve Systems of Equations Algebraically

3- Solve Systems of Inequalities: Graphically

Handout: Solve Systems of Inequalities Graphically

Assignment: Solve Systems of Inequalities Graphically

4- Solve Systems of Equations in Three Variables

Assignment: Solve Systems of Equations in Three Variables

**38- Sequences and Series **

1- Sequences

2- Arithmetic Sequence

3- Arithmetic Series

4- Sigma Notation

5- Geometric Sequence

6- Geometric Series

Handout: Sequence & Series

Assignment: Sequence & Series

**39- Final Exam **

1- Test on Chapters 35-38

Handout: Test #4

Assignment: Test #4

2- Post-test

Assignment: Post-test

**40- Course Evaluation **

Handout: Course Evalulation

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