Algebra 2 – Homeschool

Course Description

Algebra 2 builds upon the foundational skills developed in Algebra 1 and introduces students to more advanced algebraic concepts. This course covers a wide range of topics including linear and quadratic functions, conic sections, exponential and logarithmic functions, sequences and series, graphing, and matrix operations.

Special emphasis is placed on applying algebra to real-life situations and developing problem-solving strategies using graphing calculators. The course is designed to strengthen critical thinking skills and prepare students for advanced math and college entrance exams.

How the Course Works

The student begins by watching a video lesson (typically 30–50 minutes long), followed by a textbook assignment.
The student stops at the end of the scheduled math time for the day.
The next day, the student resumes the assignment. A third day may occasionally be needed to complete it—and that’s perfectly fine.
At the end of each chapter (or sometimes midway), the student completes a practice test for review, followed by the actual test the next day. (These should be administered by a parent.)
The process continues section by section until the course is complete.

When Help Is Needed

Support is readily available when students or parents encounter challenges:

Re-watch the video lesson.
Review similar examples in the textbook.
Refer to the corresponding solution in the solutions manual.
Submit a question through the Cool Math Guy website. Replies typically arrive within 24 hours.

Sample Videos from this Course

Chapter 1 – FUNDAMENTALS OF ALGEBRA

1.1 The Real Number System
1.2 Operations with Real Numbers
1.3 Properties of Real Numbers
1.4 Algebraic Expressions
1.5 Constructing Algebraic Expressions

Chapter 2 – LINEAR EQUATIONS AND INEQUALITIES

2.1 Linear Equations
2.2 Linear Equations and Problem Solving
2.3 Business and Scientific Problems
2.4 Linear Inequalities
2.5 Absolute Value Equations and Inequalities

Chapter 3 – GRAPHS AND FUNCTIONS

3.1 The Rectangular Coordinate System
3.2 Graphs of Equations
3.3 Slope and Graphs of Linear Equations
3.4 Equations of Lines
3.5 Graphs of Linear Inequalities
3.6 Relations and Functions
3.7 Graphs of Functions

Chapter 4 – SYSTEMS OF EQUATIONS AND INEQUALITIES

4.1 Systems of Equations
4.2 Linear Systems in Two Variables
4.3 Linear Systems in Three Variables
4.4 Matrices and Linear Systems
4.5 Determinants and Linear Systems
4.6 Systems of Linear Inequalities

Chapter 5 – POLYNOMIALS AND FACTORING

5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Multiplying Polynomials
5.4 Factoring by Grouping and Special Forms
5.5 Factoring Trinomials
5.6 Solving Polynomial Equations by Factoring

Chapter 6 – RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS

6.1 Rational Expressions and Functions
6.2 Multiplying and Dividing Rational Expressions
6.3 Adding and Subtracting Rational Expressions
6.4 Complex Fractions
6.5 Dividing Polynomials and Synthetic Division
6.6 Solving Rational Equations
6.7 Applications and Variation

Chapter 7 – RADICALS AND COMPLEX NUMBERS

7.1 Radicals and Rational Exponents
7.2 Simplifying Radical Expressions
7.3 Adding and Subtracting Radical Expressions
7.4 Multiplying and Dividing Radical Expressions
7.5 Radical Equations and Applications
7.6 Complex Numbers

Chapter 8 – QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES

8.1 Solving Quadratic Equations: Factoring and Special Forms
8.2 Completing the Square
8.3 The Quadratic Formula
8.4 Graphs of Quadratic Functions
8.5 Applications of Quadratic Equations
8.6 Quadratic and Rational Inequalities

Chapter 9 – EXPONENTIAL AND LOGARITHMIC FUNCTIONS

9.1 Exponential Functions
9.2 Composite and Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Solving Exponential and Logarithmic Equations
9.6 Applications

Chapter 10 – CONICS

10.1 Circles and Parabolas
10.2 Ellipses
10.3 Hyperbolas
10.4 Solving Nonlinear Systems of Equations

Chapter 11 – SEQUENCES, SERIES, AND THE BINOMIAL THEOREM

11.1 Sequences and Series
11.2 Arithmetic Sequences
11.3 Geometric Sequences and Series
11.4 The Binomial Theorem

Supporting Parents

We understand that questions can come up, especially in the beginning. Personal support is available via text, email, or phone. We’re here to help both parents and students every step of the way.

Course Materials

Textbook Recommendations
New textbooks can be expensive, so we recommend purchasing used copies online. The following two textbooks are directly correlated with our video instruction and include ISBN numbers and vendor links for convenience:

[Coming Soon]

Practice Tests, Tests, and Answer Keys

All assignments and testing materials are available to subscribers through a password-protected link.

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Annual Flat Rate: $150 for One Year of Access

Strengthen your student’s math skills and prepare for college-level success with an engaging, guided Algebra 2 experience.

$150.00 / year