Algebra 1
- 12-month Online Subscription to our complete Algebra 1 course with video lessons, day-by-day lesson plans, automatically graded exercises, and much more.
- CD Set (optional) contains all of the video lessons so that you can watch them when you're away from the internet.
Algebra 1 Details
Thinkwell's Algebra 1 course has online videos and automatic grading that teach algebra the way today’s students want to learn it. Whether you need a complete course or algebra homework help, Algebra 1 has everything you need.
Students enjoy our online video lessons with award-winning teacher Edward Burger; he's smart and funny, and his multimedia lessons work with any learning style. His step-by-step lessons focus on examples and real-world applications, which makes learning algebra fun and easy.
Thinkwell's Algebra 1 has all the features your home school needs:
- Aligned to Algebra 1 National Math Standards
- 34-week lesson plan with daily assignments (see lesson plan)
- More than 95 topics with 250+ engaging video lessons (see sample)
- 100 available contact hours (What is this?)
The number of contact hours in a course reflects the amount of time a student will typically spend completing the assignments in each course (i.e. watching videos, doing exercises, taking exams, etc...). Many people think about contact hours as the "seat time" for a course. Thinkwell provides this information so you can ensure that the amount of instruction in a Thinkwell course meets the standards and requirements for your state or region.
- Printable Algebra 1 worksheets and answer keys for each subchapter and topic
(See sample worksheet - See sample answer key) - 1000+ automatically graded exercises allow you to track your progress
- 23 animated interactivities with audio
- Algebra practice tests and final tests for all 12 chapters, as well as a midterm and a final
- Real-world application examples in both lectures and exercises
- Closed captioning for all video lessons (most are also available in Spanish)
- Glossary of more than 200 mathematical terms
- Brand-new content to help students advance their mathematical knowledge:
- Foundations for algebra
- Equations, proportions, and percent
- Inequalities
- Functions
- Linear functions
- Systems of equations and inequalities
- Exponents and polynomials
- Factoring polynomials
- Quadratic functions and equations
- Data analysis and probability
- Exponential and radical functions
- Rational functions and equations
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. In 2010, he won the prestigious Robert Foster Cherry Award for Great Teaching.
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 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.
Table of Contents
(Expand All - Close All)1. Foundations for Algebra
- 1.1 The Language of Algebra
- 1.1.1 Variables and Expressions
- 1.1.2 Adding and Subtracting Real Numbers
- 1.1.3 Multiplying and Dividing Real Numbers
- 1.1.4 Powers and Exponents
- 1.1.5 Square Roots and Real Numbers
- 1.2 Tools of Algebra
- 1.2.1 Set Theory
- 1.2.2 Order of Operations
- 1.2.3 Simplifying Expressions
- 1.2.4 Introduction to Functions
2. Equations, Proportions, and Percent
- 2.1 Solving Equations
- 2.1.1 Addition and Subtraction Equations
- 2.1.2 Multiplication and Division Equations
- 2.1.3 Solving Two-Step Equations
- 2.1.4 Solving Multi-Step Equations
- 2.1.5 Solving Equations with Variables on Both Sides
- 2.1.6 Solving Literal Equations
- 2.1.7 Solving Absolute-Value Equations
- 2.2 Proportion and Percent
- 2.2.1 Rates, Ratios, and Proportions
- 2.2.2 Applications of Proportion
- 2.2.3 Percents
- 2.2.4 Applications of Percent
- 2.2.5 Percent Increase and Decrease
3. Inequalities
- 3.1 Introduction to Inequalities
- 3.1.1 Graphing and Writing Inequalities
- 3.1.2 Solving Inequalities by Adding or Subtracting
- 3.1.3 Solving Inequalities by Multiplying or Dividing
- 3.2 Multi-Step and Compound Inequalities
- 3.2.1 Solving Two-Step and Multi-Step Inequalities
- 3.2.2 Solving Inequalities with Variables on Both Sides
- 3.2.3 Solving Compound Inequalities
- 3.2.4 Solving Absolute-Value Inequalities
4. Functions
- 4.1 Introduction to Functions
- 4.1.1 Graphing Relationships
- 4.1.2 Relations and Functions
- 4.1.3 Writing Function Rules
- 4.2 Applying Functions
- 4.2.1 Graphing Functions
- 4.2.2 Scatter Plots and Trend Lines
- 4.2.3 Arithmetic Sequences
5. Linear Functions
- 5.1 Characteristics of Linear Functions
- 5.1.1 Identifying Linear Functions
- 5.1.2 Using Intercepts
- 5.1.3 Rate of Change and Slope
- 5.1.4 The Slope Formula
- 5.1.5 The Midpoint and Distance Formulas
- 5.1.6 Direct Variation
- 5.2 Using Linear Functions
- 5.2.1 Slope-Intercept Form
- 5.2.2 Point-Slope Form
- 5.2.3 Slopes of Parallel and Perpendicular Lines
- 5.2.4 Transforming Linear Functions
6. Systems of Equations and Inequalities
- 6.1 Systems of Linear Equations
- 6.1.1 Solving Systems by Graphing
- 6.1.2 Solving Systems by Substitution
- 6.1.3 Solving Systems by Elimination
- 6.1.4 Solving Special Systems
- 6.1.5 Applying Systems
- 6.2 Linear Inequalities
- 6.2.1 Graphing Linear Inequalities
- 6.2.2 Solving Systems of Linear Inequalities
7. Exponents and Polynomials
- 7.1 Exponents
- 7.1.1 Product and Power Properties of Exponents
- 7.1.2 Integer Exponents
- 7.1.3 Quotient Properties of Exponents
- 7.1.4 An Application of Exponents: Scientific Notation
- 7.1.5 Fractional Exponents
- 7.2 Polynomials
- 7.2.1 Polynomials
- 7.2.2 Adding and Subtracting Polynomials
- 7.2.3 Multiplying Polynomials by Monomials
- 7.2.4 Multiplying Binomials
8. Factoring Polynomials
- 8.1 Factoring Methods
- 8.1.1 Factors and Greatest Common Factors
- 8.1.2 Factoring by GCF
- 8.1.3 Factoring x2 + bx + c
- 8.1.4 Factoring ax2 + bx + c
- 8.2 Applying Factoring Methods
- 8.2.1 Factoring Special Products
- 8.2.2 Choosing a Factoring Method
9. Quadratic Functions and Equations
- 9.1 Quadratic Functions
- 9.1.1 Identifying Quadratic Functions
- 9.1.2 Characteristics of Quadratic Functions
- 9.1.3 Graphing Quadratic Functions
- 9.1.4 Transforming Quadratic Functions
- 9.2 Solving Quadratic Equations
- 9.2.1 Solving Quadratic Equations by Graphing
- 9.2.2 Solving Quadratic Equations by Factoring
- 9.2.3 Solving Quadratic Equations by Using Square Roots
- 9.2.4 Completing the Square
- 9.2.5 The Quadratic Formula
- 9.2.6 The Discriminant
10. Data Analysis and Probability
- 10.1 Probability
- 10.1.1 Experimental Probability
- 10.1.2 Theoretical Probability
- 10.1.3 Independent and Dependent Events
- 10.1.4 Combinations and Permutations
- 10.2 Data Analysis
- 10.2.1 Bar, Circle, and Line Graphs
- 10.2.2 Stem and Leaf Plots and Histograms
- 10.2.3 Mean, Median, Mode, and Range
- 10.2.4 Box-and-Whisker Plots
- 10.2.5 Expected Value
- 10.2.6 Normal Distribution
- 10.2.7 Misleading Graphs and Statistics
11. Exponential and Radical Functions
- 11.1 Exponential Functions
- 11.1.1 Geometric Sequences
- 11.1.2 Exponential Functions
- 11.1.3 Exponential Growth and Decay
- 11.1.4 Linear, Quadratic, and Exponential Models
- 11.2 Radical Functions, Expressions, and Equations
- 11.2.1 Square-Root Functions
- 11.2.2 Radical Expressions
- 11.2.3 Adding and Subtracting Radical Expressions
- 11.2.4 Multiplying and Dividing Radical Expressions
- 11.2.5 Solving Radical Equations
12. Rational Functions and Equations
- 12.1 Rational Functions and Expressions
- 12.1.1 Inverse Variation
- 12.1.2 Rational Functions
- 12.1.3 Simplifying Rational Expressions
- 12.2 Operations with Rational Expressions
- 12.2.1 Multiplying and Dividing Rational Expressions
- 12.2.2 Adding and Subtracting Rational Expressions
- 12.2.3 Dividing Polynomials
- 12.2.4 Solving Rational Equations
