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Thinkwell Home-school Curriculum

Pre-Algebra

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Pre-Algebra Online Course 12-month access $125.00
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Our complete Pre-Algebra package includes:
  • 12-month Online Subscription to our complete Pre-Algebra 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.
  • Workbook (optional) with lecture notes, sample problems, and exercises so that you can study even when away from the computer.

Pre-Algebra Details

Thinkwell's Pre-Algebra is a great review for students who have completed Grade 8 Math, but need more Pre-Algebra help before Algebra 1. It's also perfect for advanced students who want to begin Algebra 1 sooner.

Students love to learn Pre-Algebra online with videos and automatically graded Pre-Algebra problems. Edward Burger, our award-winning math teacher, uses example-based tutorials that break Pre-Algebra into the basics, giving students the tips and tricks they need to excel at algebra.

Thinkwell's Pre-Algebra has all the features your home school needs:

  • More than 100 video tutorials
  • 76 available contact hours (What is this?)
  • 30-week lesson plan with daily assignments (see lesson plan)
  • 1000+ automatically graded Pre-Algebra problems (see sample)
  • Pre-Algebra tests, including 11 chapter tests, as well as practice tests, a midterm, and a final exam.
  • Real-world application examples in both lectures and exercises
  • Printable illustrated notes for each topic
  • Searchable glossary of mathematical terms
  • Engaging content to help students advance their mathematical knowledge:
    • Operations with whole numbers, integers, decimals, and fractions
    • Variables and expressions
    • One-step, two-step, and multi-step equations and inequalities
    • Ratios, proportions, and percents
    • Simple and compound interest
    • Customary and metric units of measurement
    • Organizing, displaying, and interpreting data
    • Graphing equations and slopes
    • Polygons and solids
    • The Pythagorean theorem
    • Exponents
    • Polynomials
    • Probability

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. Whole Numbers

  • 1.1 Introduction to Whole Numbers
    • 1.1.1 Reading and Writing Whole Numbers
    • 1.1.2 Rounding Whole Numbers
  • 1.2 Operations with Whole Numbers
    • 1.2.1 Adding Whole Numbers
    • 1.2.2 Subtracting Whole Numbers
    • 1.2.3 Multiplying Whole Numbers
    • 1.2.4 Dividing Whole Numbers
    • 1.2.5 Properties

2. Integers

  • 2.1 Introduction to Integers
    • 2.1.1 Integers and the Number Line
  • 2.2 Operations with Integers
    • 2.2.1 Addition of Integers
    • 2.2.2 Subtraction of Integers
    • 2.2.3 Multiplication and Division of Integers
    • 2.2.4 Introduction to Exponents
    • 2.2.5 Using the Order of Operations

3. Fractions

  • 3.1 Introduction to Fractions
    • 3.1.1 Factors, Multiples, and Equivalent Fractions
  • 3.2 Operations with Fractions
    • 3.2.1 Multiplying Fractions and Mixed Numbers
    • 3.2.2 Dividing Fractions and Mixed Numbers
    • 3.2.3 Adding and Subtracting Fractions and Mixed Numbers

4. Decimals

  • 4.1 Introduction to Decimals
    • 4.1.1 Representing, Comparing, and Ordering Decimals
    • 4.1.2 Rounding and Estimating Decimals
  • 4.2 Operations with Decimals
    • 4.2.1 Adding and Subtracting Decimals
    • 4.2.2 Multiplying Decimals
    • 4.2.3 Dividing Decimals
  • 4.3 Fractions and Decimals
    • 4.3.1 Converting between Fractions and Decimals

5. Variables, Expressions, and Equations

  • 5.1 Introduction to Equations
    • 5.1.1 Variables and Expressions
    • 5.1.2 Translating Between Words and Math
    • 5.1.3 Simplifying Algebraic Expressions
    • 5.1.4 Translating Between Tables and Expressions
    • 5.1.5 Equations and Their Solutions
  • 5.2 Introduction to Solving Equations
    • 5.2.1 Solving Addition Equations
    • 5.2.2 Solving Subtraction Equations
    • 5.2.3 Solving Multiplication Equations
    • 5.2.4 Solving Division Equations

6. Solving Equations and Inequalities

  • 6.1 Solving Equations
    • 6.1.1 Solving Equations Containing Integers
    • 6.1.2 Writing and Solving Two-Step Equations
    • 6.1.3 Writing and Solving Multi-Step Equations
    • 6.1.4 Solving Equations with Variables on Both Sides
  • 6.2 Solving Inequalities
    • 6.2.1 Inequalities
    • 6.2.2 Solving Inequalities by Adding or Subtracting
    • 6.2.3 Solving Inequalities by Multiplying or Dividing
    • 6.2.4 Solving Two-Step Inequalities

7. Ratios, Proportions, and Percents

  • 7.1 Ratios and Proportions
    • 7.1.1 Ratios and Rates
    • 7.1.2 Proportions
    • 7.1.3 Finding an Unknown Value in a Proportion
    • 7.1.4 Applications of Proportions
  • 7.2 Percents
    • 7.2.1 Introduction to Percents
    • 7.2.2 Percents
    • 7.2.3 Relating Percents, Decimals, and Fractions
    • 7.2.4 Estimating with Percents
    • 7.2.5 Finding and Using Percents
  • 7.3 Interest
    • 7.3.1 Simple Interest
    • 7.3.2 Compound Interest

8. Measurement, Statistics, and Graphs

  • 8.1 Measurement
    • 8.1.1 Understanding Customary Units of Measurement
    • 8.1.2 Understanding Metric Units of Measurement
    • 8.1.3 Converting Customary Units
    • 8.1.4 Converting Metric Units
    • 8.1.5 Converting between Customary and Metric Units
    • 8.1.6 Time and Temperature
  • 8.2 Organizing, Displaying, and Interpreting Data
    • 8.2.1 Organizing Data
    • 8.2.2 Bar Graphs and Histograms
    • 8.2.3 Line Graphs
    • 8.2.4 Reading and Interpreting Circle Graphs
    • 8.2.5 Measures of Central Tendency
    • 8.2.6 Box-and-Whisker Plots
  • 8.3 Graphing Equations and Slope
    • 8.3.1 The Coordinate Plane
    • 8.3.2 Tables and Graphs
    • 8.3.3 Graphing Linear Equations
    • 8.3.4 Graphing Using Intercepts
    • 8.3.5 An Introduction to Slope
    • 8.3.6 Finding the Slope Given Two Points

9. Geometry

  • 9.1 Polygons
    • 9.1.1 Triangles
    • 9.1.2 Quadrilaterals
    • 9.1.3 Finding Angles in Polygons
  • 9.2 Polygon Relationships
    • 9.2.1 Similar Figures
    • 9.2.2 Congruent Figures
  • 9.3 Area, Perimeter, and Circumference
    • 9.3.1 Perimeter
    • 9.3.2 Area of Rectangles and Parallelograms
    • 9.3.3 Area of Triangles and Trapezoids
    • 9.3.4 Circles and Circumference
    • 9.3.5 Area of Circles
    • 9.3.6 Area of Composite Figures
    • 9.3.7 Comparing Perimeter and Area
  • 9.4 The Pythagorean Theorem
    • 9.4.1 Square Roots and the Pythagorean Theorem
  • 9.5 Solids
    • 9.5.1 Introduction to Three-Dimensional Figures
    • 9.5.2 Volume of Prisms and Cylinders
    • 9.5.3 Volume of Pyramids and Cones
    • 9.5.4 Surface Area of Prisms and Cylinders
    • 9.5.5 Surface Area of Pyramids and Cones
    • 9.5.6 Volume and Surface Area of Spheres

10. Exponents and Polynomials

  • 10.1 Exponents
    • 10.1.1 Product and Power Properties of Exponents
    • 10.1.2 Integer Exponents
    • 10.1.3 Quotient Properties of Exponents
    • 10.1.4 An Application of Exponents: Scientific Notation
  • 10.2 Introduction to Polynomials
    • 10.2.1 Introduction to Polynomials
    • 10.2.2 Simplifying Polynomials
  • 10.3 Operations with Polynomials
    • 10.3.1 Adding and Subtracting Polynomials
    • 10.3.2 Multiplying and Dividing Monomials
    • 10.3.3 Multiplying Monomials by Polynomials
    • 10.3.4 Multiplying Binomials
  • 10.4 Factoring Polynomials
    • 10.4.1 Factoring with the GCF
    • 10.4.2 Factoring by Grouping
    • 10.4.3 Factoring Trinomials

11. Probability

  • 11.1 Understanding Probability
    • 11.1.1 Introduction to Probability
    • 11.1.2 Experimental Probability
    • 11.1.3 Counting Methods and Sample Spaces
    • 11.1.4 Theoretical Probability
  • 11.2 Using Probability
    • 11.2.1 Compound Events
    • 11.2.2 Making Predictions
    • 11.2.3 Probability of Independent and Dependent Events
    • 11.2.4 Permutations and Combinations
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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.
- Sung L.
- Adam S.
- Cheryl H.
- Steve H.
- 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.
- Elena H.
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