Algebra 2

View 2015 Algebra 2 Course Schedule from here.

Prerequisite: Algebra1

This advanced algebra course reviews the applications and language of Algebra1 with increased emphasis on various kinds of functions such as polynomial functions, rational functions, exponential and logarithmic functions and their graphs. The content also includes conic sections, matrices, probability, and series and sequence. Students will understand the structure of the systems of real and complex numbers, understand the concept of functions and their unifying role in mathematics, and be able to analyze and graph a variety of functions. Most of essential skills necessary to be successful in mathematics will be developed throughout this course. In addition, Algebra2 covers the majority of content necessary for standardized testing and state standards.

How is this course taught?

This course is taught as a live class via the Internet.  Using WebEx software and webcams, students will see and talk to the teacher and their classmates as if everyone is in the same room.  This means students can take this course from anywhere in the world with the Internet access.

All classes are recorded and provided to students for download/replay.  By downloading them, students can keep and review the lectures indefinitely.

Sabio also offers pre-recorded lectures called e-Learning.  These lectures are short (under 5 minutes) and to the point without any distractions.  These lectures also use animations and simulations extensively to make understanding intuitive and instinctive.  A large part of teaching will be done by this e-Learning and students are expected to study them before joining the class.

Will there be homework?

Most definitely.  Some will be online homework that is automatically graded, others will be graded manually.

How many hours per session do I need to spend to study for this course?

Students are expected to spend from 1 to 2 hours after each session on their own to study.  This does not include class time.

What are the technical requirements for this course?

  1. Students must have a headset communicate with the teacher.
  2. Students must have a tablet to write during the class.
  3. Must be have finished Algebra 1.
  4. Must have the latest version of Mathematica (purchase here) installed on the computer used for class.
  5. The instructor might recommend that everyone uses a webcam during the class.  Webcams are inexpensive these days.  Any of these models will work.

Who is teaching this course?

The instructor is James Choi

Do I need to buy a textbook?

Yes:  College Algebra by Beecher 4th Edition   (Table of Contents)

How long is this course?

90 minutes per live session plus e-Learning lectures.  One session a week for 30 weeks  = 45 live hours of instructions plus many hours of e-Learning.

Do I need to learn Mathematica for this class?

Yes.  We will teach you how to use it from the start.  Mathematica is an integral part of this class.  You not only need to learn how to use it, you have to use it during the class to answer teacher’s questions.

Why do you use Mathematica in this course?  No one else is using it.

Some concepts in Algebra 2 starts require visualizing them and Mathematica is the tool that makes visualization possible. Once visualized, most students can understand the concepts instinctively without memorizing the formulas.

When does the new course start?


How much is the tuition?

$1980 – Early Registration

$2250 – Regular Registration

How do I enroll in this course?

  1. (Only if this is your first Sabio course) Fill out this form and pay $50 registration fee to create your ID/password in our database.
  2. Make sure you checked all the requirements above, then make an appropriate payment below by clicking the session of your choice.


Week 1

1.1 Introduction to Graphing

1.2 Functions and Graphs

1.3 Linear Functions, Slope, and Applications

Week 2

1.4 Equations of Lines and Modeling

1.5 Linear Equations, Functions, Zeros, and Applications

1.6 Solving Linear Inequalities

Week 3

2.1 Increasing, Decreasing, and Piecewise Functions; Applications

2.2 The Algebra of Functions

2.3 The Composition of Functions

Week 4

2.4 Symmetry and Transformations

2.5 Variation and Applications

Week 5

3.1 The Complex Numbers

3.2 Quadratic Equations, Functions, Zeros, and Models

Week 6

3.3 Analyzing Graphs of Quadratic Functions

3.4 Solving Rational Equations and Radical Equations

3.5  Solving Linear Inequalities

Week 7

4.1 Polynomial Functions and Modeling

4.2 Graphing Polynomial Functions

Week 8

4.3 Polynomial Division; The Remainder and Factor Theorems

4.4 Theorems about Zeros of Polynomial Functions

Week 9

4.5 Rational Functions

4.6 Polynomial and Rational Inequalities

Week 10

5.1 Inverse Functions

5.2 Exponential Functions and Graphs

Week 11

5.3 Logarithmic Functions and Graphs

Week 12 5.4 Properties of Logarithmic Functions
Week 13 5.5 Solving Exponential Equations and Logarithmic Equations
Week 14 5.6  Applications and Models: Growth and Decay; Compound Interest
Week 15

6.1 Systems of Equations in Two Variables

6.2 Systems of Equations in Three Variables

Week 16

6.3 Matrices and Systems of Equations

Week 17

6.4  Matrix Operations

Week 18

6.5 Inverses of Matrices

6.6 Determinants and Cramer’s Rule

Week 19 6.7 Systems of Inequalities and Linear Programming
Week 20 6.8  Partial Fractions
Week 21

7.1 The Parabola

7.2 The Circle and the Ellipse

Week 22 7.3 The Hyperbola
Week 23

7.4 Nonlinear Systems of Equations and Inequalities

Week 24 8.1 Sequences and Series
8.2 Arithmetic Sequences and Series
Week 25 8.3 Geometric Sequences and Series
Week 26 8.4 Mathematical Induction
Week 27

8.5 Combinatorics: Permutations

Week 28

8.6 Combinatorics: Combinations

Week 29

8.7 The Binomial Theorem

Week 30 8.8 Probability