# Homeschool Algebra 2 with

the right teacher

#### “TabletClass has really been a great addition to our home school. As a Mom that is “math challenged” this program really takes the pressure off of me to be able to teach my daughter algebra.”

**TabletClass Math Curriculum Features:**

- Fully explained lessons on every topic
- Fully explained example problems ranging from basic to advanced
- Focused on academic achievement and mastery of concepts
- Cover topics in-depth
- Designed as college preparatory math
- Can be used independently or as a supplemental curriculum

### TabletClass Math makes homeschooling Algebra 2 easy. We include the right amount of instruction your child needs to excel.

Our teacher, John Zimmerman, cares about your child’s success. He guides students every step of the curriculum with clear and understandable instruction that will help build their confidence in math.

**Algebra 2 Curriculum Summary**

The Algebra 2 homeschool curriculum is designed as a high school second or third year college prep math curriculum. A strong foundation in concepts and skills of Algebra 1 is required.

The first part of the Algebra 2 homeschool curriculum is an extensive series of sections on basic algebra topics that students should have mastered in Algebra 1. Part 2 of the curriculum focuses on quadratic equations/complex numbers, linear systems and matrices/determinants.

The next part of the Algebra 2 homeschool curriculum covers functions and relations and powers and radicals at a more advance level.

The course finishes by introducing many advance level topics to include exponential/logarithmic functions and solving polynomials of n-degree. Lastly, a chapter on rational functions is explored to include a section on graphing rational functions.

**-V. Sherman, Clearwater FL**

## Algebra 2 Scope & Sequence

### Chapters

### Sections

### Videos

### Chapters

### Sections

### Videos

##### Chapter 1: Basic Algebra (Review)

This chapter reviews many of the fundamental algebra skills that students should have mastered in Algebra 1. Students are encouraged to take the time to go over these sections to ensure they are ready for the more advance concepts later in the course.

Sections:

- 1.1 Adding Real Numbers
- 1.2 Subtracting Real Numbers
- 1.3 Multiplying and Dividing Real Numbers
- 1.4 Distributive Property
- 1.5 Simplifying by Combining Like Terms
- 1.6 One Step Equations
- 1.7 Solving Two Step Equations
- 1.8 Solving Multi-Step Equations
- 1.9 Formulas and Literal Equations
- 1.10 Linear Inequalities
- 1.11 Compound Inequalities
- 1.12 Introduction to Absolute Value
- 1.13 Solving Absolute Value Equations
- 1.14 Absolute Value Inequalities
- 1.15 Graphing Absolute Value Equations

##### Chapter 2: Graphing and Writing Linear Equations

Sections:

- 2.1 Real Number System
- 2.1 Graphing Lines with One Variable
- 2.2 Graphing Lines with Two Variables
- 2.3 The Slope of a Line
- 2.4 Slope Intercept Method
- 2.5 XY Intercept Method
- 2.6 Using Slope-Intercept Form
- 2.7 Using Point-Slope intercept
- 2.8 Given the Slope and a Point
- 2.9 Given Two Points
- 2.10 Standard Form of Linear Equations
- 2.11 Best Fitting Lines and Scatter Plots
- 2.12 Linear Models/Word Problems
- 2.13 Graphing Linear Inequalities in Two Variables

##### Chapter 3: Systems

Sections:

- 3.1 Solving Systems by Graphing
- 3.2 Solving Systems Substitution Method
- 3.3 Solving Systems by Elimination/Linear Combination
- 3.4 Solving Linear Systems Word Problems
- 3.5 Special Linear Systems
- 3.6 Solving Systems of Linear Inequalities
- 3.7 Linear Programming

##### Chapter 4: Matrices and Determinants

Sections:

- 4.1 Introduction to Matrices
- 4.2 Matrix Operations
- 4.3 Matrix Multiplication
- 4.4 Determinants
- 4.5 Identity and Inverse Matrices
- 4.6 Solving Systems using Inverse Matrices
- 4.7 Solving Systems using Cramer’s Rule

##### Chapter 5: Quadratic Equations and Complex Numbers

Additionally, students will learn the connection between solutions and graphs of quadratic functions. Methods and procedures are applied to graph quadratic inequalities and solve word problems.

Lastly, the chapter covers complex and imaginary numbers. Students are introduced to complex number operations, graphs and the role complex and imaginary numbers have as solutions to equations.

Sections:

- 5.1 Introduction to Quadratic Equations
- 5.2 Solving Quadratic Equations by Square Roots
- 5.3 Graphing Quadratic Equations
- 5.4 The Quadratic Formula
- 5.5 Solving Quadratic Equations by Factoring
- 5.6 The Discriminant – Types of Roots
- 5.7 Completing the Square
- 5.8 Quadratic Equation Word Problems
- 5.9 Graphing Quadratic Inequalities
- 5.10 Complex and Imaginary Numbers

##### Chapter 6: Functions and Relations

Sections:

- 6.1 Introduction to Functions and Relations
- 6.2 Function Operations
- 6.3 Inverse Functions
- 6.4 Graphing Functions
- 6.5 Linear and Nonlinear Functions
- 6.6 Special Functions
- 6.7 Composite Functions

##### Chapter 7: Powers and Radicals

Sections:

- 7.1 Product and Power Rules of Exponents
- 7.2 Negative and Zero Exponents Rules
- 7.3 Division Rules of Exponents
- 7.4 Scientific Notation
- 7.5 Compound Interest
- 7.6 Simplifying Radicals
- 7.7 Operations with Radicals
- 7.8 Solving Radical Equations
- 7.9 Operations and Equations with Rational Exponents
- 7.10 The Distance and Mid-Point Formula
- 7.11 The Pythagorean Theorem

##### Chapter 8: Logarithmic and Exponential Functions

Additionally, the chapter defines the properties of logarithms and how to condense and expand logarithmic expressions. The Natural Base e and Natural logarithms are explored with explanations of how to use the “log and ln” functions on a scientific calculator. Finally, the chapter covers the methods and procedure to solve exponential and logarithmic equations.

Sections:

- 8.1 Exponential Growth and Decay Functions
- 8.2 Introduction to Logarithms
- 8.3 Properties of Logarithms
- 8.4 The Natural Base e
- 8.5 Natural Logarithms
- 8.6 Solving Logarithmic Equations
- 8.7 Solving Exponential Equations

##### Chapter 9: Polynomial Functions

Sections:

- 9.1 Introduction to Polynomials
- 9.2 Adding and Subtracting Polynomials
- 9.3 Multiplying Polynomials
- 9.4 Multiplying Polynomials Special Cases
- 9.5 Sum and Difference of Two Cubes
- 9.6 Factoring Greatest Common Factor
- 9.7 Factoring Quadratic Trinomials
- 9.8 Special Factoring Rules
- 9.9 Graphing Polynomials
- 9.10 Solving Polynomial Equations by Factoring
- 9.11 Polynomial Division (long and synthetic division)
- 9.12 Remainder and Factor Theorem
- 9.13 Rational Root Theorem (Rational-Zero Test)
- 9.14 Solving n-degree Polynomials (Fundamental Theorem of Algebra)

##### Chapter 10: Rational Expressions/Equations

The second part of the chapter builds from the student’s knowledge of polynomials and covers operations with rational expressions. Instruction will focus on learning to multiply, divide, find the LCD and solve rational expressions. Additionally, a section is dedicated to the procedure/ methods to graph rational functions; new terms like vertical and horizontal asymptotes will be explained.

Sections:

- 10.1 Ratios and Proportions
- 10.2 Percent
- 10.3 Direct and Inverse Variation
- 10.4 Simplifying Rational Expressions
- 10.5 Multiplying and Dividing Rational Expressions
- 10.6 Finding the LCD of Rational Expressions
- 10.7 Solving Rational Equations
- 10.8 Adding and Subtracting Rational Expressions
- 10.9 Graphing Rational Functions (vertical and horizontal asymptotes)

##### Chapter 11: Data, Measurement and Probability

This chapter is an overview of how to work with data. Sections in the chapter introduce units of measures, conversion, mean, median, mode and range. Also, included is a section on graphs and plots such as box-and-whisker plots and frequency tables.

The chapter also provides a section basic concepts of probability to include a discussion into the Law of Large Numbers and a section on more advance concepts like independent, dependent and mutually exclusive events. In addition to probability there is a section on counting theory which will take a look at how to count using trees and the Fundamental Principle of Counting.

Lastly, the chapter will look into counting arrangements using combinations and permutations.

Sections:

- 11.1 Units of Measure and Conversion
- 11.2 Measures of Central Tendency- Mean, Median and Mode
- 11.3 Exploring Data- Charts, Tables, Graphs and Plots
- 11.4 Introduction To Probability
- 11.5 Counting Theory
- 11.6 Probability of Independent, Dependent and Mutually Exclusive Events
- 11.7 Permutations and Combinations

**-Susan M.**

## A Complete Curriculum Designed for Homeschoolers

### TabletClass Math provides a full suite of comprehensive course support material with every membership at no extra cost.

##### See what’s inside…

**Fully Explained Lesson Per Topic**

The Lesson Video presents the key enabling concepts for the given topic. The video includes illustrations to help students visualize the concepts as well as the discussion of typical errors made by students. Lessons are in-depth offering objectives, and include a variety of problems with demonstration on how to solve.

These are not short, incomplete lessons that sometimes leave students frustrated and confused. We cover everything a student needs to learn on that specific topic.

**Sample Video**

**Fully Explained Example Problems & Solutions **

In addition to the lesson video, every topic includes example videos covering a wide range of problems on that topic. The videos are titled **Example Set: A**, **Example Set: B**, etc.

Problems are reviewed from basic to advanced and include word problems. They offer full explanations on how to solve, with each step demonstrated in the video. These videos help strengthen students’ proficiency on the topic.

**Sample Video**

**Section Preview Worksheets**cover all problems found in the Example Set videos. Ideally this file should be printed so the student can work on them either prior to watching videos, or along with the videos depending on how comfortable they are with the material.

**Resources included with every membership.**

1. Section Worksheets:

- Full set of worksheets per section topic include problems and written answer keys with corresponding video solutions (aka Example Set Videos)
- Students can print worksheet assignments to work on prior to viewing corresponding solution videos or follow along with the solution videos
- 1000s of problems covered to include wide range of problem types from basic to advanced and word problems
- Designed to have students practice and fully master core academic skills
- Extra worksheets and answer keys available for added practice

Download Sample Section Preview

Download Sample Extra Practice

2. Chapter Notes:

- Comprehensive summary notes of all concepts covered within a chapter including specific steps to solve problems
- Designed to be a written learning reference for all course material (like a textbook)
- Perfect aid to study for quizzes and tests

3. Chapter Quizzes:

- Online quiz offers instant feedback includes answer keys, so students know what they need to revisit
- Designed to check for skill level, critical thinking, and overall comprehension
- Covers core academic standards
- Assessments are challenging and test for proficiency

**Note:** Chapter and final course tests are available in the optional Parent Resources.

**All documents can be:**

- Viewed in browser
- Printed
- Saved

*(Requires Adobe Acrobat PDF Reader)*

##### Comprehensive Lessons

**Fully Explained Lesson Per Topic**

The Lesson Video presents the key enabling concepts for the given topic. The video includes illustrations to help students visualize the concepts as well as the discussion of typical errors made by students. Lessons are in-depth offering objectives, and include a variety of problems with demonstration on how to solve.

These are not short, incomplete lessons that sometimes leave students frustrated and confused. We cover everything a student needs to learn on that specific topic.

**Sample Video**

##### Extensive Examples

**Fully Explained Example Problems & Solutions**

In addition to the lesson video, every topic includes example videos covering a wide range of problems on that topic. The videos are titled **Example Set: A**, **Example Set: B**, etc.

Problems are reviewed from basic to advanced and include word problems. They offer full explanations on how to solve, with each step demonstrated in the video. These videos help strengthen students’ proficiency on the topic.

**Sample Video**

**Section Preview Worksheets**cover all problems found in the Example Set videos. Ideally this file should be printed so the student can work on them either prior to watching videos, or along with the videos depending on how comfortable they are with the material.

##### Bonus Resources

**Included with every membership.**

1. Section Worksheets:

- Full set of worksheets per section topic include problems and written answer keys with corresponding video solutions (aka Example Set Videos)
- Students can print worksheet assignments to work on prior to viewing corresponding solution videos or follow along with the solution videos
- 1000s of problems covered to include wide range of problem types from basic to advanced and word problems
- Designed to have students practice and fully master core academic skills
- Extra worksheets and answer keys available for added practice

2. Chapter Notes:

- Comprehensive summary notes of all concepts covered within a chapter including specific steps to solve problems
- Designed to be a written learning reference for all course material (like a textbook)
- Perfect aid to study for quizzes and tests

3. Chapter Quizzes:

- Online quiz offers instant feedback includes answer keys, so students know what they need to revisit
- Designed to check for skill level, critical thinking, and overall comprehension
- Covers core academic standards
- Assessments are challenging and test for proficiency

**Note:** Chapter and final course tests are available in the optional Parent Resources.

**All documents can be:**

- Viewed in browser
- Printed
- Saved

*(Requires Adobe Acrobat PDF Reader)*

Download Sample Section Preview

### Ready to get started with Algebra 2?

**Monthly Subscription – $25**

(auto-renewal/cancel anytime)

**6 Month Access – $95 **

(save $55 – one time fee/no auto-renewal)

**12 Month Access – $150 **

(save $150 – one time fee/no auto-renewal)

**Optional Parent Resources – $25 **

(Course Test Pack – one time fee/unlimited access)

### Not ready to buy?

See if your child is ready for this course or try our Free Course Preview.

“Our family has been using TabletClass for three years and plan on finishing up our homeschool math using this program. Our son completed Pre-Algebra through Algebra 2. Now our daughters are starting it. The concepts are taught in easy to understand bits. TabletClass is suited to students with a wide range of math abilities. The format is simple, clear and understandable. TabletClass tutorials make using the program comprehensible for even the most non computer savvy student or mom. Mr. Zimmerman uses an engaging style of teaching, making math less intimidating to non-math students, while gifted students are not bored. The students can set their own pace. The classes are available on a wide range of platforms. The program is very economical for any size family.”

**-Sarah**