Algebra 2 Companion

Algebra 2 Companion Thinkwell's Algebra 2 Companion online videos have all the algebra help you need in a fun, easy-to-use format, perfect for students already taking an Algebra 2 class. Because it covers all of the topics in any typical Algebra 2 textbook, Thinkwell's online Algebra 2 Companion 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. For a turnkey homeschool course, see www.thinkwellhomeschool.com. Our complete Algebra 2 Companion package includes: 12-month Online Subscription to our complete Algebra 2 course with video lessons, automatically graded exercises, and much more. Algebra 2 Companion Materials Online Subscription, 12-month access Access to a complete online package that includes everything you need: High-quality video lessons explain all of the Algebra 2 Math concepts Automatically graded exercises with immediate feedback allow you to track your progress Subscriptions start when you are ready. Buy now and activate your course anytime you like. Wait up to one year to activate your subscription; your 12-month subscription doesn't begin until you say so! Algebra 2 Companion 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 Table of Contents 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 About the Author Edward Burger Edward Burger is an award-winning professor with a passion for teaching mathematics. Since 2013, Edward Burger has been President of Southwestern University, a top-ranked liberal arts college in Georgetown, Texas. Previously, he was Professor of Mathematics at Williams College. Dr. Burger earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. 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.