Pre-Algebra
- 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
- 140 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.
- 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
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. 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
