Algebra 2

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Thinkwell's Algebra 2 online videos have all the algebra help you need in a fun, easy-to-use study aid. Because it covers all of the topics in any typical Algebra 2 textbook, Thinkwell's online Algebra 2 makes solving algebra problems both easy and enjoyable.

Thinkwell's video lessons feature award-winning teacher Edward Burger. Students love Professor Burger's passion for teaching and his sense of humor, as well as his ability to break down concepts and explain each example step by step, all while sharing the tips and tricks that make algebra easy for anyone.

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Algebra 2 Details

Thinkwell's Algebra 2 math includes all of these features for your student:

Aligned to Algebra 2 National Math Standards
More than 100 topics with 400+ engaging video lessons
750+ interactive exercises with immediate feedback allow you to track your progress
28 animated interactivities with audio
Algebra 2 practice tests and final tests for all 14 chapters, as well as a midterm and a final
Real-world application examples in both lectures and exercises
Closed captioning for all video lessons
Glossary of more than 250 mathematical terms
Brand-new content to help students advance their mathematical knowledge:
- Linear equations, inequalities, and functions
- Linear systems in two and three dimensions
- Matrix operations
- Quadratic functions and complex numbers
- Polynomial, exponential, and logarithmic functions
- Rational and radical functions
- Graphing functions
- Conic sections
- Probability and statistics
- Arithmetic and geometric sequences and series
- Trigonometric functions, graphs, and identities

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1. Foundations for Functions

1.1 Properties and Operations
- 1.1.1 Sets of Numbers
- 1.1.2 Properties of Real Numbers
- 1.1.3 Square Roots
- 1.1.4 Simplifying Algebraic Expressions
- 1.1.5 Properties of Exponents and Scientific Notation

1.2 Introduction to Functions
- 1.2.1 Relations and Functions
- 1.2.2 Function Notation
- 1.2.3 Exploring Transformations
- 1.2.4 Introduction to Parent Functions

2. Linear Functions

2.1 Linear Equations and Inequalities
- 2.1.1 Solving Linear Equations and Inequalities
- 2.1.2 Proportional Reasoning
- 2.1.3 Graphing Linear Functions
- 2.1.4 Writing Linear Functions
- 2.1.5 Linear Inequalities in Two Variables

2.2 Applying Linear Functions
- 2.2.1 Transforming Linear Functions
- 2.2.2 Curve Fitting With Linear Models
- 2.2.3 Solving Absolute-Value Equations and Inequalities
- 2.2.4 Absolute-Value Functions

3. Linear Systems

3.1 Linear Systems in Two Dimensions
- 3.1.1 Using Graphs and Tables to Solve Linear Systems
- 3.1.2 Using Algebraic Methods to Solve Linear Systems
- 3.1.3 Solving Systems of Linear Inequalities
- 3.1.4 Linear Programming

3.2 Linear Systems in Three Dimensions
- 3.2.1 Linear Equations in Three Dimensions
- 3.2.2 Solving Linear Systems in Three Variables

4. Matrices

4.1 Matrix Operations
- 4.1.1 Matrices and Data
- 4.1.2 Multiplying Matrices
- 4.1.3 Using Matrices to Transform Geometric Figures

4.2 Using Matrices to Solve Systems
- 4.2.1 Determinants and Cramer's Rule
- 4.2.2 Matrix Inverses and Solving Systems
- 4.2.3 Row Operations and Augmented Matrices

5. Quadratic Functions

5.1 Quadratic Functions and Complex Numbers
- 5.1.1 Using Transformations to Graph Quadratic Functions
- 5.1.2 Properties of Quadratic Functions in Standard Form
- 5.1.3 Solving Quadratic Equations by Graphing and Factoring
- 5.1.4 Completing the Square
- 5.1.5 Complex Numbers and Roots
- 5.1.6 The Quadratic Formula

5.2 Applying Quadratic Functions
- 5.2.1 Solving Quadratic Inequalities
- 5.2.2 Curve Fitting with Quadratic Models
- 5.2.3 Operations with Complex Numbers

6. Polynomial Functions

6.1 Operations with Polynomials
- 6.1.1 Polynomials
- 6.1.2 Adding and Subtracting Polynomials
- 6.1.3 Multiplying Polynomials
- 6.1.4 Factoring Polynomials
- 6.1.5 Dividing Polynomials
- 6.1.6 Synthetic Division and the Remainder and Factor Theorems

6.2 Roots and Graphs of Polynomial Functions
- 6.2.1 Finding Real Roots of Polynomial Equations
- 6.2.2 Fundamental Theorem of Algebra
- 6.2.3 Investigating Graphs of Polynomial Functions
- 6.2.4 Transforming Polynomial Functions
- 6.2.5 Curve Fitting with Polynomial Models

7. Exponential and Logarithmic Functions

7.1 Exponential Functions and Logarithms
- 7.1.1 Exponential Functions, Growth, and Decay
- 7.1.2 Inverses of Relations and Functions
- 7.1.3 Logarithmic Functions
- 7.1.4 Properties of Logarithms

7.2 Applying Exponential and Logarithmic Functions
- 7.2.1 Exponential and Logarithmic Equations and Inequalities
- 7.2.2 The Natural Base, e
- 7.2.3 Transforming Exponential and Logarithmic Functions
- 7.2.4 Curve Fitting With Exponential and Logarithmic Models

8. Rational and Radical Functions

8.1 Rational Functions
- 8.1.1 Variation Functions
- 8.1.2 Multiplying and Dividing Rational Expressions
- 8.1.3 Adding and Subtracting Rational Expressions
- 8.1.4 Rational Functions
- 8.1.5 Solving Rational Equations and Inequalities

8.2 Radical Functions
- 8.2.1 Radical Expressions and Rational Exponents
- 8.2.2 Radical Functions
- 8.2.3 Solving Radical Equations and Inequalities

9. Properties and Attributes of Functions

9.1 Functions and Their Graphs
- 9.1.1 Multiple Representations of Functions
- 9.1.2 Piecewise Functions
- 9.1.3 Transforming Functions

9.2 Functional Relationships
- 9.2.1 Operations with Functions
- 9.2.2 Functions and Their Inverses
- 9.2.3 Modeling Real-World Data

10. Conic Sections

10.1 Understanding Conic Sections
- 10.1.1 Introduction to Conic Sections
- 10.1.2 Circles
- 10.1.3 Ellipses
- 10.1.4 Hyperbolas
- 10.1.5 Parabolas

10.2 Applying Conic Sections
- 10.2.1 Identifying Conic Sections
- 10.2.2 Solving Nonlinear Systems

11. Probability and Statistics

11.1 Probability
- 11.1.1 Permutations and Combinations
- 11.1.2 Theoretical and Experimental Probability
- 11.1.3 Independent and Dependent Events
- 11.1.4 Compound Events

11.2 Data Analysis and Statistics
- 11.2.1 Measures of Central Tendency and Variation
- 11.2.2 Binomial Distributions

12. Sequences and Series

12.1 Exploring Arithmetic Sequences and Series
- 12.1.1 Introduction to Sequences
- 12.1.2 Series and Summation Notation
- 12.1.3 Arithmetic Sequences and Series

12.2 Exploring Geometric Sequences and Series
- 12.2.1 Geometric Sequences and Series
- 12.2.2 Mathematical Induction and Infinite Geometric Series

13. Trigonometric Functions

13.1 Introduction to Trigonometric Functions
- 13.1.1 Right-Angle Trigonometry
- 13.1.2 Angles of Rotation
- 13.1.3 The Unit Circle
- 13.1.4 Inverses of Trigonometric Functions

13.2 Applying Trigonometric Functions
- 13.2.1 The Law of Sines
- 13.2.2 The Law of Cosines

14. Trigonometric Graphs and Identities

14.1 Exploring Trigonometric Graphs
- 14.1.1 Graphs of Sine and Cosine
- 14.1.2 Graphs of Other Trigonometric Functions

14.2 Trigonometric Identities
- 14.2.1 Fundamental Trigonometric Identities
- 14.2.2 Sum and Difference Identities
- 14.2.3 Double-Angle and Half-Angle Identities
- 14.2.4 Solving Trigonometric Equations

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About the Author

Edward Burger
Williams College

Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College.

He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest listed him in the "100 Best of America". After completing his tenure as Gaudino Scholar at Williams, he was named Lissack Professor for Social Responsibility and Personal Ethics.

Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly. His areas of specialty include number theory, Diophantine approximation, p-adic analysis, the geometry of numbers, and the theory of continued fractions.

Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.

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Interactive Exercises

“ When I used the Thinkwell program, I was very prepared for class and therefore able to participate more often. It is a "must have" resource, and I would not have done as well in the class without it. ”