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Thinkwell Home-school Curriculum

Algebra 1

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Our complete Algebra 1 package includes:
  • 12-month Online Subscription to our complete Algebra 1 course with video lessons, day-by-day lesson plans, automatically graded exercises, and much more.

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?)
  • 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

Professor Edward Burger

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

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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
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Testimonials

It is wonderful to have the checklist of each lesson for my daughter to see her progress, and for me to have an easy evaluation for our homeschool program. It is so nice not to be the one grading her.
When I use Thinkwell, the retention rate of what I've learned is significantly increased. I would say that Thinkwell not only makes the material easier to digest but creates a fun way to actually learn math.
Thinkwell turns learning into enjoyment, only you learn so much more!
Thinkwell contains all the necessary components for you to gain a thorough understanding of the course. The lectures are there, the notes are there, and the quizzes are there. It's a complete package.
Throughout the Thinkwell lectures, I never got lost. I never got confused. I was able to understand... The lecture section is outstanding.
Thinkwell is a program that allows students like me to learn these subjects while still keeping us entertained. Good job, Thinkwell.
- Annette J.
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- Spencer R.
Professor Burger is passionate about Math and he is able to transmit his passion and clear thinking through his lectures. I could understand not only the concepts and HOW to solve the problems, but WHY we solve them in a certain way... You meet just a few of those instructors in a lifetime.
I have recommended them to many friends, all of whom have used them with great success. Dr. Burger's sense of humor really adds to the class and makes it particularly engaging for my son.
Our family has enjoyed the format and scope of the Thinkwell course we've used in our homeschool program. It is well organized, easy to use and has been an asset to our homeschool curriculum.
Thinkwell is a great resource, with videos, notes, sample problems, and animations to help students understand the material and solve problems.
Thinkwell is better than a textbook because it is more interactive! Instead of just droning over a book, a virtual person actually comes and teaches it to you.
Thinkwell is a WONDERFUL tool for learning... The transcripts and supplemental materials are very helpful in explaining the material and they make studying for the exams an absolute breeze.
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