Algebra 2 Math Lessons
The Algebra 2 course in 21 lessons, from Complex Numbers: Adding, Subtracting and Multiplying to Conditional Probability and Independence, each one with its Key facts and a closing set of questions and answers.
- 72 US Letter pages
- 21 chapters
- 84 lesson sections
- PDF to print
- Cards accepted without a PayPal account
- Instant download, up to 3 devices
About this book
Algebra 2 extends the functions of Algebra 1. The lessons cover complex numbers and complex solutions, polynomial operations and graphs, forms of quadratic functions, logarithms, and radians on the unit circle.
Every chapter opens with the skills it builds; in Composition and Inverse Functions, for instance: understand the composition of two functions, understand an inverse function, find an inverse when the function is not one-to-one. A Key facts box sums up what to remember. Most of the 84 lesson sections of the book are written as questions a student would ask, such as What is an inverse function?
For an Algebra 2 student, a parent, or a tutor preparing chapter reviews. Pair it with the Algebra 2 Math Worksheets with Answers to practice each chapter right after reading it.
Detailed contents
The 21 chapters of the Algebra 2 lesson book, the sections of each lesson and the page where each chapter starts.
-
1
Complex Numbers: Adding, Subtracting and Multiplying
- What is the imaginary unit i?
- How do the powers of i behave?
- How do you add and subtract complex numbers?
- How do you multiply complex numbers?
- Algebra 2 complex numbers lesson: questions and answers
-
2
Complex Conjugates and Complex Solutions
- What is a complex conjugate?
- How do you divide complex numbers?
- How do you solve a quadratic with complex solutions?
- Complex conjugates lesson: questions and answers
-
3
Radicals and Rational Exponents
- What does a rational exponent mean?
- How do the exponent properties work with fractions?
- How do you simplify an expression with rational exponents?
- Rational exponents lesson: questions and answers
-
4
Polynomial Operations and Identities
- Why are polynomials closed under addition and multiplication?
- Which products are worth memorizing?
- How can identities be used for mental math and number patterns?
- Algebra 2 polynomial operations lesson: questions and answers
-
5
Dividing Polynomials and the Remainder Theorem
- How does polynomial long division work?
- What is synthetic division?
- What is the Remainder Theorem?
- Algebra 2 polynomial division lesson: questions and answers
-
6
Zeros and Graphs of Polynomial Functions
- What is a zero of a polynomial?
- What does multiplicity tell you about the graph?
- How do you predict the end behavior?
- How do you find zeros that do not factor easily?
- Polynomial zeros lesson: questions and answers
-
7
Forms of Quadratic Functions
- What are the three forms of a quadratic function?
- How do you complete the square?
- Quadratic forms lesson: questions and answers
-
8
Solving Quadratic Equations
- Which method should you use to solve a quadratic equation?
- How do you solve by completing the square?
- How do you use the quadratic formula?
- Algebra 2 quadratic equations lesson: questions and answers
-
9
Systems of Linear and Quadratic Equations
- How do you solve a system with a line and a parabola?
- How many solutions can the system have?
- What about a line and a circle?
- Nonlinear systems lesson: questions and answers
-
10
Rational Expressions
- What is a rational expression?
- How do you multiply and divide rational expressions?
- How do you add and subtract rational expressions?
- Rational expressions lesson: questions and answers
-
11
Radical and Rational Equations
- How do you solve a radical equation?
- How do you solve a rational equation?
- Radical rational equations lesson: questions and answers
-
12
Transformations of Functions
- What do transformations do to a graph?
- How do you describe several transformations at once?
- What are even and odd functions?
- Algebra 2 transformations lesson: questions and answers
-
13
Composition and Inverse Functions
- What is the composition of two functions?
- What is an inverse function?
- How do you find an inverse when the function is not one-to-one?
- Composition inverses lesson: questions and answers
-
14
Exponential Growth and Decay
- What is an exponential function?
- How do percent rates turn into growth factors?
- How does compound interest work?
- Algebra 2 exponential functions lesson: questions and answers
-
15
Logarithms
- What is a logarithm?
- How is the graph of a logarithm related to an exponential?
- What are the properties of logarithms?
- How do you solve an exponential equation?
- Algebra 2 logarithms lesson: questions and answers
-
16
Arithmetic and Geometric Sequences and Series
- What is a sequence?
- How do you add the terms of a series?
- Algebra 2 sequences series lesson: questions and answers
-
17
Radians and the Unit Circle
- What is a radian?
- How is the unit circle used to define sine and cosine?
- How do you find trig values in other quadrants?
- Unit circle lesson: questions and answers
-
18
Graphs of Trigonometric Functions and Identities
- What do sine and cosine graphs look like?
- How do you model periodic situations?
- What is the Pythagorean identity?
- Algebra 2 trig graphs lesson: questions and answers
-
19
The Normal Distribution
- What is a normal distribution?
- What is a z-score?
- How do you find the percentage of data in an interval?
- Algebra 2 normal distribution lesson: questions and answers
-
20
Sampling, Surveys and Experiments
- What is the difference between a population and a sample?
- How do you estimate a population value and the margin of error?
- How can simulation help decide whether a result is unusual?
- Sampling inference lesson: questions and answers
-
21
Conditional Probability and Independence
- How do you describe events and find their probabilities?
- What is conditional probability?
- How do you count arrangements and selections?
- Probability lesson: questions and answers
Sample pages
Three pages from the Algebra 2 Math Lessons, exactly as you will print them. Click to enlarge.
How to use this lesson book
Read one chapter at a time
The 21 chapters follow the order of the Algebra 2 course; at about 3 pages each, a chapter is one short sitting.
Copy the key facts
Write the Key facts of Arithmetic and Geometric Sequences and Series on an index card: a ready-made summary for the night before a quiz.
Try the closing questions
Cover the answers at the end of Sampling, Surveys and Experiments and answer first: the best way to check understanding.
Frequently asked questions
What is in the Algebra 2 lesson book?
72 US Letter pages and 21 chapters, one lesson per chapter, with 84 lesson sections in all. The full contents are listed above on this page.
Does the Algebra 2 lesson book include exercises?
Each chapter ends with a short set of questions and answers. For full practice, the Algebra 2 Math Worksheets with Answers follows the same 21 chapters.
Do I need the Algebra 2 Math Worksheets with Answers along with the lesson book?
No, the Algebra 2 Math Lessons stands on its own. But both books follow the same 21 chapters of Algebra 2; together they make a complete course, lesson then practice.
How do I receive the Algebra 2 Math Lessons?
Right after paying with PayPal or a card, you reach your download page, where the Algebra 2 Math Lessons is waiting. An email with the link is sent too.
Can I print the Algebra 2 lesson book and open it on several devices?
Yes: the 72-page PDF of the Algebra 2 Math Lessons prints as often as you need and opens on three devices (computer, tablet, phone). It carries your name at the bottom of the pages.
More answers on the shop page, or through our contact form.