# Algebra 2 + Mastering the Fundamentals

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Teacher: Mike
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#### 0 Algebra 2 + Course Introduction 03:13

The Algebra 2 + Course includes instruction in the following content areas:

• Lines,
• Factoring,
• Complex Numbers,
• Polynomials,
• Rational Expressions,
• Logarithms and
• Exponents.

This course offers 32:

• videos lessons,
• worksheets and
• 2 question quizzes.

For each of the worksheets, I've offered solutions and a video that demonstrates and narrates how to achieve each solution.

I've also emphasized 21st Century learning AND having FUN!!

Enjoy!

Mike

#### 1 All About Lines - Slope Intercept Form of a Line 10:37

This lesson provides essential information about the slope intercept form of a line. The characteristics of slopes of different line types are presented. A formula for determining slope from two points is also provided. Finally, students are taught how to determine y = mx + b where m = slope and b = y-intercept from two points on the (X,Y) Coordinate Plane.

#### 2 All About Lines - Slope Intercept Form of a Line Worksheet Video 12:21

This video provides the solutions to the Find the Slope Worksheet.

#### 3 All About Lines - Point Slope Form of a Line 11:27

This lesson helps students generate equations of lines given a point and the slope of the line. We learn how to use a point (x1,y1) and a slope (m) to make equations of the form: (y-y1) = m(x-x1) which is the Point Slope Form of a Line.

#### 4 All About Lines - Point Slope Form of a Line Worksheet Video 07:58

This video provides the solutions to the Point Slope Form of a Line Worksheet.

#### 5 All About Lines - Standard Form of a Line 17:23

This lesson helps students transform lines into Standard Form. Good equation-solving skills are demonstrated throughout the video. Likewise, students are shown how to change from Slope Intercept Form of a Line (y = mx + b) into Standard Form of a Line (Ax + By = C) and back.

#### 6 All About Lines - Standard Form of a Line Worksheet Video 11:17

This video provides the solutions to the Standard Form of a Line Worksheet.

#### 7 Mastering Factoring Part 1 11:36

Mastering Factoring Part 1 teaches students to factor, to take square roots of both sides of an equation and to complete the square in order to solve quadratic equations.

#### 8 Mastering Factoring Part 1 Worksheet Video 20:40

This video provides the solutions to the Mastering Factoring Part 1 Worksheet.

#### 9 Mastering Factoring Part 2 12:49

This lesson teaches students to complete the square in order to solve quadratic equations. The formula for completing the square is explained and the steps for completing the square are demonstrated.

#### 10 Mastering Factoring Part 2 Worksheet Video 17:14

This video provides the solutions to the Mastering Factoring Part 2 Worksheet.

This lesson reviews with students how to factor quadratic equations. The video includes references to, and an explanation of, the Zero Product Property.

#### 12 All About Quadratic Equations - Solving Part 1 Worksheet Video 08:24

This video shows students how to solve quadratic equations by factoring.

This lesson teaches students how to factor quadratic equations using the Zero Product Property.

#### 14 All About Quadratic Equations - Solving Part 2 Worksheet Video 07:04

This video shows students how to solve problems for the All About Quadratic Equations - Solving Part 2 Worksheet, specifically Zero Product Property problems.

This lesson teaches students how to factor quadratic equations using factoring by grouping.

#### 16 All About Quadratic Equations - Solving Part 3 Worksheet Video 09:48

This video shows students how to solve problems from the All About Quadratic Equations - Solving Part 3 Worksheet.

This lesson teaches students how to factor quadratic equations.

#### 18 All About Quadratic Equations - Factoring Part 1 Worksheet Video 09:22

This video shows students how to solve quadratic equations by factoring.

This lesson teaches students how to factor quadratic equations. It picks up where All About Quadratic Equations - Factoring Part 1 left off.

#### 20 All About Quadratic Equations - Factoring Part 2 Worksheet Video 26:24

This video shows students how to solve quadratic equations by factoring, especially through factoring by grouping.

This video shows students how to solve quadratic equations by using the Quadratic Formula.

#### 23 Complex Numbers Part 1 11:13

This lesson teaches about complex numbers. It begins with definitions and then solve example problems accordingly.

#### 24 Complex Numbers Part 1 Worksheet Video 08:15

This video shows students how to solve problems with complex numbers and radicals.

#### 25 Complex Numbers Part 2 14:47

This lesson teaches students about complex numbers. Relevant properties are introduced and applied during this lesson.

#### 26 Complex Numbers Part 2 Worksheet Video 04:35

This video shows students how to solve problems with complex numbers.

#### 27 Solving Linear Systems - 2 Equations, 2 Variables 11:00

This lesson teaches students how to solve linear systems. These linear systems have 2 equations and 2 variables.

#### 28 Solving Linear Systems - 2 Equations, 2 Variables Worksheet Video 14:03

This video shows students how to solve the problems on the Solving Linear Systems - 2 Equations, 2 Variables Worksheet.

#### 29 Solving Linear Systems - 3 Equations, 3 Variables Part 1 13:42

Lesson 1 of this 2 part sesies teaches students how to solve linear systems. The linear equations have 3 equations and 3 variables.

#### 30 Solving Linear Systems - 3 Equations, 3 Variables Part 1A Worksheet Video 22:05

This video shows students how to solve systems of equations with 3 equations and 3 variables.

#### 31 Solving Linear Systems - 3 Equations, 3 Variables Part 1B Worksheet Video 18:33

This video shows students how to solve systems of equations with 3 equations and 3 variables.

#### 32 Solving Linear Systems - 3 Equations, 3 Variables Part 2 08:14

This lesson teaches students how to solve linear systems. The focus of this lesson is linear equations that have 3 equations and 3 variables.

#### 33 Solving Linear Systems - 3 Equations, 3 Variables Part 2 Worksheet Video 39:24

This video shows students how to solve problems on the Solving Linear Systems - 3 Equations, 3 Variables Part 2 Worksheet.

#### 35 All About Polynomials - Adding, Subtracting & Multiplying Worksheet Video 06:12

This video shows students how to solve problems on the All About Polynomials - Adding, Subtracting and Multiplying worksheet.

#### 36 All About Polynomials - Cubing a Binomial 13:19

This lesson teaches students how to cube a binomial using the special product formula.

#### 37 All About Polynomials - Cubing a Binomial Worksheet Video 16:36

This video shows students how to solve problems on the All About Polynomials - Cubing a Binomial Worksheet.

#### 38 All About Polynomials - Special Products 14:59

This lesson teaches students about special products in polynomial multiplication. This lesson includes sum and difference formulas, squaring and cubing a binomial.

#### 39 All About Polynomials - Special Products Worksheet Video 13:39

This video shows students how to solve problems on the All About Polynomials -Special Products Worksheet.

#### 40 All About Polynomials - Dividing and Long Division 12:19

This lesson teaches students how to divide polynomials using factoring and long division.

#### 41 All About Polynomials - Dividing and Long Division Worksheet Video 12:00

This video shows students how to divide polynomials.

#### 42 All About Polynomials - Synthetic Division 10:20

This lesson teaches students how to divide polynomials using synthetic division.

#### 43 All About Polynomials - Synthetic Division Worksheet Video 08:47

This video shows students how to solve problems on the All About Polynomials - Synthetic Division Worksheet.

#### 44 All About Rational Expressions - Simplifying 13:11

This lesson teaches students how to simplify rational expressions.

#### 45 All About Rational Expressions - Simplifying Worksheet Video 19:47

This video shows students how to solve problems on the All About Rational Expressions - Simplifying Worksheet.

This lesson teaches students how to add and subtract rational expressions.

#### 47 All About Rational Expressions - Adding and Subtracting Worksheet Video 10:19

This video shows students how to add and subtract rational expressions on the All About Expressions - Adding & Subtracting Worksheet.

#### 48 All About Rational Expressions - Multiplying and Dividing Part 1 09:36

This lesson teaches students how to multiply and divide rational expressions.

#### 49 All About Rational Expressions - Multiplying & Dividing Part 1A Worksheet Video 22:55

This video shows students how to multiply, divide and simplify rational expressions.

#### 50 All About Rational Expressions - Multiplying & Dividing Part 1B Worksheet Videot 17:20

This video shows students how to solve problems on the All About Rational Expressions - Multiplying & Dividing Part 1B Worksheet.

#### 51 All About Rational Expressions - Multiplying and Dividing Part 2 11:48

This lesson teaches students how to multiply and divide rational expressions.

#### 52 All About Rational Expressions - Multiplying and Dividing Part 2 Worksheet Video 29:24

This video shows students how to solve problems on the All About Rational Expressions - Multiplying & Dividing Part 2.

#### 53 Rational Exponents with Examples 11:03

This lesson teaches students about rational exponents and their application in problem solving.

#### 54 Rational Exponents with Examples Worksheet Video 09:58

This video shows students how to solve problems on the Rational Exponents with Examples worksheet.

#### 55 Radicals and Exponents - Properties 11:02

This lesson teaches students the properties of radicals and exponents.

#### 56 Radicals and Exponents - Properties Worksheet Video 09:56

This video shows students how to solve problems on the Radicals and Exponents - Properties Worksheet.

#### 57 Radical Equations - Solving Part 1 09:53

This lesson teaches students how to solve equations with radicals.

#### 58 Radical Equations - Solving Part 1 Worksheet Video 17:40

This video shows students how to solve problems on the Radical Equations -Solving Part 1 Worksheet.

#### 59 Radical Equations - Solving Part 2 08:03

This lesson teaches students how to solve equations that include radicals.

#### 60 Radical Equations - Solving Part 2 Worksheet Video 18:38

This video shows students how to solve radical equations for the Radical Equations - Solving Part 2 Worksheet.

#### 61 Logarithms - Definition of 17:15

This lesson defines the concept of logarithms for students.

#### 62 Logarithms - Definition of Worksheet Video 07:19

This video shows students how to solve problems with logarithms.

#### 63 Logarithms - Properties of 13:00

This lesson teaches students the properties of logarithms.

#### 64 Logarithms - Properties of Worksheet Video 10:04

This video shows students how to solve logarithmic problems using properties of Logarithms.

#### 65 Logarithms - Change of Base Formula 19:19

This lesson teaches students how to use the change of base formula with logarithms.

#### 66 Logarithms - Change of Base Formula Worksheet Video 08:58

This video shows students how to change the base of logarithms so they can solve problems.

Algebra 2 +

This course is offered as an exploration of some significant algebraic concepts found primarily within Algebra 2. Algebra 2 and Pre-Calculus curricula have more concepts than what is being highlighted here. However, I selected the essential content for your student based on my knowledge of higher level math courses as well as the math concepts that I know show up on the ACT & SAT tests.

This course can be used as a stand alone class, to prepare for the ACT &/or SAT test, or to supplement any Algebra or Pre-Calculus course.

Course Objective

To engage students in the learning process and to make learning relevant & FUN!

Course Description

Algebra 2 + highlights the following content areas:

• Factoring
• Complex Numbers
• Solving Linear Systems
• Logarithms & Exponents

Course content

• 32 video lessons
• 32 unique, short self-grading quizzes (1 for each lesson)
• 32 practice worksheets (1 for each lesson) with answers
• 32 solution sheets (1 for each practice worksheet)
• 34 review videos - 1 (or more) for each practice worksheet
• Total Video Time = 14 hours and 47 minutes

Suggested Audience

This course is based on Algebra 2 usually taken in the 11th grade. If you are preparing for an ACT or SAT test, most of the material in this course is important for you to understand in order to excel on the math portions of either test!

Requirements

Algebra I and Geometry

I also recommend a good graphing calculator.  A TI-83+ or TI-84 is best to be familar with if you're preparing for the ACT or SAT, as that's what you'll be allowed to use during the test.  If you're not preparing for a standardized test, an inexpensive scientific calculator or a free graphing calculator app will suffice.

• Teacher: Mike
• Areas of expertise: Middle School Math, Pre-Algebra, Algebra I, Algebra II, Advanced Algebra & Trigonometry, AP Statistics
• Education: B.S. - Math & Sociology M.Ed - Secondary Ed. Math
• Interests: Listening to music - recorded & live, traveling, TV technology, spending time with family, eating chips, building businesses
• Skills: Eating chips, mental math, public speaking, using humor
• Associations: State licensed teacher (Ohio)
• Issues I care about: Customer service, 21st Century education

I enjoy teaching students how to learn. I also like seeing students realize their potential. If you let me, I will strive to do that with you as well.

#### Lesson 1 Quiz - AAL Slope Intercept Form

Quiz for AAL Lesson - Slope Intercept Form

#### Lesson 3 Quiz - AAL Point Slope Form

Lesson 3 Quiz - AAL Point Slope Form

#### Lesson 5 Quiz - AAL Standard Form of a Line

Lesson 5 Quiz - AAL Standard Form of a Line

#### Lesson 7 Quiz - Mastering Factoring Part 1

Lesson 7 Quiz - Mastering Factoring Part 1

#### Lesson 9 Quiz - Mastering Factoring Part 2

Lesson 9 Quiz - Mastering Factoring Part 2

#### Lesson 11 Quiz - AAQE Solving Part 1

Lesson 11 Quiz - AAQE Solving Part 1

#### Lesson 13 Quiz - AAQE Solving Part 2

Lesson 13 Quiz - AAQE Solving Part 2

#### Lesson 23 Quiz - Complex Numbers Part 1

Lesson 23 Quiz - Complex Numbers Part 1

#### Lesson 25 Quiz - Complex Numbers Part 2

Lesson 25 Quiz - Complex Numbers Part 2

#### Lesson 27 Quiz - Solving Linear Systems 2 Equations, 2 Variables

Lesson 27 Quiz - Solving Linear Systems 2 Equations, 2 Variables

#### Lesson 29 Quiz - Solving Linear Systems 3 Equations, 3 Variables

Lesson 29 Quiz - Solving Linear Systems 3 Equations, 3 Variables

#### Lesson 32 Quiz - Solving Linear Systems 3 Equations, 3 Variables Part 2

Lesson 32 Quiz - Solving Linear Systems 3 Equations, 3 Variables Part 2

#### Lesson 36 Quiz - All About Polynomials Cubing the Binomial

Lesson 36 Quiz - All About Polynomials Cubing the Binomial

#### Lesson 38 Quiz - All About Polynomials Special Products

Lesson 38 Quiz - All About Polynomials Special Products

#### Lesson 40 Quiz - All About Polynomials Division & Long Division

Lesson 40 Quiz - All About Polynomials Division & Long Division

#### Lesson 42 Quiz - All About Polynomials Synthetic Division

Lesson 42 Quiz - All About Polynomials Synthetic Division

#### Lesson 44 Quiz - All About Rational Expressions Simplifying

Lesson 44 Quiz - All About Rational Expressions Simplifying

#### Lesson 48 Quiz â€“ All About Rational Expressions Multiplying & Dividing Part 1

Lesson 48 Quiz â€“ All About Rational Expressions Multiplying & Dividing Part 1

#### Lesson 51 Quiz â€“ All About Rational Expressions Multiplying & Dividing Part 2

Lesson 51 Quiz â€“ All About Rational Expressions Multiplying & Dividing Part 2

#### Lesson 53 Quiz â€“ Rational Exponents with Examples

Lesson 53 Quiz â€“ Rational Exponents with Examples

#### Lesson 55 Quiz â€“ Radicals and Exponents Properties

Lesson 55 Quiz â€“ Radicals and Exponents Properties

#### Lesson 57 Quiz â€“ Radical Equations Solving Part 1

Lesson 57 Quiz â€“ Radical Equations Solving Part 1

#### Lesson 59 Quiz â€“ Radical Equations Solving Part 2

Lesson 59 Quiz â€“ Radical Equations Solving Part 2

#### Lesson 61 Quiz â€“ Logarithms Definition of

Lesson 61 Quiz â€“ Logarithms Definition of

#### Lesson 63 Quiz â€“ Logarithms Properties of

Lesson 63 Quiz â€“ Logarithms Properties of

#### Lesson 65 Quiz â€“ Logarithms Change of Base Formula

Lesson 65 Quiz â€“ Logarithms Change of Base Formula

#### All About Lines - Find the Slope Worksheet

This worksheet provides practice for students in finding the slope of a line.

#### All About Lines - Find the Slope Worksheet Solutions

These are the solutions to the Find the Slope Worksheet.

#### All About Lines - Point Slope Form Worksheet

This worksheet provides students practice in finding the Point Slope Form of a Line.

#### All About Lines - Point Slope Form Worksheet Solutions

These are the solutions to the Point Slope Form Worksheet.

#### All About Lines - Standard Form of a Line Worksheet

This worksheet lets students practice putting lines into the Standard Form of a Line.

#### All About Lines - Standard Form of a Line Worksheet Solutions

These are the solutions to the Standard Form of a Line Worksheet.

#### Mastering Factoring Part 1 Worksheet

This worksheet gives students the chance to work on solving quadratic equations using the Square Root Law.

#### Mastering Factoring Part 1 Worksheet Solutions

These are the solutions to the Mastering Factoring Part 1 Worksheet.

#### Mastering Factoring Part 2 Worksheet

This worksheet offers students the chance to solve more quadratic equations by completing the square.

#### Mastering Factoring Part 2 Worksheet Solutions

These are the solutions for the Mastering Factoring Part 2 Worksheet.

This worksheet allows students to practice solving quadratic equations.

These are the solutions to the All About Quadratic Equations - Solving Part 1 Worksheet.

This worksheet allows students to practice solving different quadratic equations.

These are the solutions to the All About Quadratic Equations - Solving Part 2.

This worksheet allows students to practice solving even more quadratic equations.

These are the solutions to the All About Quadratic Equations - Solving Part 3 Worksheet.

This worksheet allows students to solve quadratic equations by factoring.

These are the solutions to the All About Quadratic Equations - Factoring Part 1 Worksheet.

This worksheet allows students to solve more quadratic equations by factoring.

These are the solutions to the All About Quadratic Equations - Factoring Part 2 Worksheet.

This worksheet lets students practice solving quadratic equations using the Quadratic Formula.

These are the solutions to the All About Quadratic Equations - Graphing and the Quadratic Formula Worksheet.

#### Complex Numbers Part 1 Worksheet

This worksheet allows students to solve problems with complex numbers and radicals.

#### Complex Numbers Part 1 Worksheet Solutions

These are the solutions to the Complex Numbers Part 1 Worksheet.

#### Complex Numbers Part 2 Worksheet

This worksheet lets students solve more problems with complex numbers.

#### Complex Numbers Part 2 Worksheet Solutions

These are the solutions to the Complex Numbers Part 2 Worksheet.

#### Solving Linear Systems - 2 Equations, 2 Variables Worksheet

This worksheet allows students to solve systems of equations with 2 variables.

#### Solving Linear Systems - 2 Equations, 2 Variables Worksheet Solutions

These are the solutions to the Solving Linear Systems - 2 Equations, 2 Variables Worksheet.

#### Solving Linear Systems - 3 Equations, 3 Variables Part 1 Worksheet

This worksheet allows students to solve linear systems of equations with 3 variables.

#### Solving Linear Systems - 3 Equations, 3 Variables Part 1 Worksheet Solutions

These are the solutions to the Solving Linear Systems - 3 Equations, 3 Variables Part 1 Worksheet.

#### Solving Linear Systems - 3 Equations, 3 Variables Part 2 Worksheet

This worksheet allows students to solve more linear systems of equations with 3 variables.

#### Solving Linear Systems - 3 Equations, 3 Variables Part 2 Worksheet Solutions

These are the solutions to the Solving Linear Systems - 3 Equations, 3 Variables Part 2 Worksheet Solutions.

This worksheet allows students to add, subtract and multiply polynomials.

These are the solutions to the All About Polynomials - Adding, Subtracting & Multiplying Worksheet.

#### All About Polynomials - Cubing a Binomial Worksheet

This worksheet lets students practice cubing binomials.

#### All About Polynomials - Cubing a Binomial Worksheet Solutions

These are the solutions to the All About Polynomials - Cubing a Binomial Worksheet.

#### All About Polynomials - Special Products Worksheet

This worksheet allows students to practice solving polynomials with special products properties.

#### All About Polynomials - Dividing and Long Division Worksheet

This worksheet gives students the chance to divide polynomials.

#### All About Polynomials - Special Products Worksheet Solutions

These are the solutions to the All About Polynomials - Special Products Worksheet.

#### All About Polynomials - Dividing and Long Division Worksheet Solutions

These are the solutions to the All About Polynomials - Dividing and Long Division Worksheet.

#### All About Polynomials - Synthetic Division Worksheet

This worksheet lets students practice synthetic division with polynomials.

#### All About Polynomials - Synthetic Division Worksheet Solutions

These are the solutions to the All About Polynomials - Synthetic Division Worksheet.

#### All About Rational Expressions - Simplifying Worksheet

This worksheet lets students simplify rational expressions using factoring and division.

#### All About Rational Expressions - Simplifying Worksheet Solutions

These are the solutions to the All About Rational Expressions - Simplifying Worksheet.

This worksheet allows students to add and subtract and rational expressions.

These are the solutions to the All About Rational Expressions - Adding and Subtracting Worksheet.

#### All About Rational Expressions - Multiplying and Dividing Part 1 Worksheet

This worksheet lets students multiply and divide rational expressions.

#### All About Rational Expressions - Multiplying and Dividing Part 1 Worksheet Solutions

These are the solutions to the All About Rational Expressions - Multiplying and Dividing Part 1 Worksheet.

#### All About Rational Expressions - Multiplying and Dividing Part 2 Worksheet

This worksheet allows students to multiply, divide and reduce rational expressions.

#### All About Rational Expressions - Multiplying and Dividing Part 2 Worksheet Solutions

These are the solutions to the All About Rational Expressions - Multiplying and Dividing Part 2 Worksheet.

#### Rational Exponents with Examples Worksheet

This worksheet lets students solve several problems that include rational exponents.

#### Rational Exponents with Examples Worksheet Solutions

These are the solutions to the Rational Exponents with Examples Worksheet.

#### Radicals and Exponents - Properties Worksheet

This worksheet allows students to practice solving equations with radicals and exponents.

#### Radical Equations - Solving Part 1 Worksheet

This worksheet allows students to work on equations with radicals.

#### Radicals and Exponents - Properties Worksheet Solutions

These are the solutions to the Radicals and Exponents - Properties Worksheet.

#### Radical Equations - Solving Part 1 Worksheet Solutions

These are the solutions to the Radical Equations - Solving Part 1 Worksheet.

#### Radical Equations - Solving Part 2 Worksheet

This worksheet lets students solve more problems with radical equations.

#### Radical Equations - Solving Part 2 Worksheet Solutions

These are the solutions to the Radical Equations - Solving Part 2 Worksheet.

#### Logarithms - Definition of Worksheet

This worksheet lets students solve problems using the definition of and properties of logarithms.

#### Logarithms - Definition of Worksheet Solutions

These are the solutions to the Logarithms - Definition of Worksheet.

#### Logarithms - Properties of Worksheet

This worksheet lets students work with and solve logarithmic problems by using properties of logarithms.

#### Logarithms - Properties of Worksheet Solutions

These are the solutions to the Logarithms - Properties of Worksheet.

#### Logarithms - Change of Base Formula Worksheet

This worksheet gives students practice using the Change of Base Formula.

#### Logarithms - Change of Base Formula Worksheet Solutions

These are the solutions to the Logarithms - Change of Base Formula Worksheet.