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8th Grade Math Details
Thinkwell's Grade 8 Math with Edward Burger lays the foundation for success because, unlike a traditional textbook, students actually like using it. Thinkwell works with the learning styles of students who have found that traditional textbooks are not effective. Watch one Thinkwell video lecture and you'll understand why Thinkwell works better.
Comprehensive Video Tutorials
We've built Grade 8 Math around hundreds of multimedia tutorials that provide dozens of hours of instructional material that are aligned with Grade 8 National Math Standards. Thinkwell offers a more engaging, more effective way for you to learn.
Instead of reading dense chunks of text from a printed book, you can watch video lectures filled with illustrations, examples, and even humor. Students report learning more easily with Thinkwell than with traditional textbooks.
Interactive Exercises with Feedback
There are hundreds of exercise items with fully worked-out solutions and explanations. Each video topic has corresponding exercises to test your understanding.
Test your understanding with hundreds of exercises that are automatically graded. Your results are available immediately, including fully worked-out solutions and explanations for each exercise. You can work on the exercises at the computer or print them out to work on later. Access your cumulative results anytime.
Also included in Grade 8 Math are more than 40 Interactivities, which are a fun way to engage, play, and learn.
Table of Contents
(Expand All - Close All)1. Principles of Algebra
- 1.1 Expressions and Properties of Numbers
- 1.1.1 Introduction to Exponents
- 1.1.2 Using the Order of Operations
- 1.1.3 Variables and Algebraic Expressions
- 1.1.4 Translate Words into Math
- 1.1.5 Properties of Numbers
- 1.2 Operations with Integers
- 1.2.1 Integers
- 1.2.2 Adding Integers
- 1.2.3 Subtracting Integers
- 1.2.4 Multiplying and Dividing Integers
- 1.3 Equations and Inequalities
- 1.3.1 Addition and Subtraction Equations
- 1.3.2 Multiplication and Division Equations
- 1.3.3 Introduction to Inequalities
2. Rational Numbers
- 2.1 Operations with Rational Numbers
- 2.1.1 Rational Numbers
- 2.1.2 Comparing and Ordering Rational Numbers
- 2.1.3 Adding and Subtracting Rational Numbers
- 2.1.4 Multiplying Rational Numbers
- 2.1.5 Dividing Rational Numbers
- 2.2 Equations with Rational Numbers
- 2.2.1 Solving Equations with Rational Numbers
- 2.2.2 Solving Two-Step Equations
3. Graphs, Functions, and Sequences
- 3.1 Tables and Graphs
- 3.1.1 Ordered Pairs
- 3.1.2 Graphing on a Coordinate Plane
- 3.1.3 Interpreting Graphs and Tables
- 3.2 Functions and Sequences
- 3.2.1 Functions
- 3.2.2 Equations, Tables, and Graphs
- 3.2.3 Arithmetic Sequences
4. Exponents and Roots
- 4.1 Properties of Exponents
- 4.1.1 Product and Power Properties of Exponents
- 4.1.2 Integer Exponents
- 4.1.3 Quotient Properties of Exponents
- 4.1.4 An Application of Exponents: Scientific Notation
- 4.2 Square Roots and the Pythagorean Theorem
- 4.2.1 Square Roots and Real Numbers
- 4.2.2 Operations with Square Roots
- 4.2.3 The Pythagorean Theorem and the Distance Formula
5. Proportionality and Measurement
- 5.1 Ratios, Rates, and Proportions
- 5.1.1 Ratios and Proportions
- 5.1.2 Ratios, Rates, and Unit Rates
- 5.1.3 Dimensional Analysis
- 5.1.4 Solving Proportions
- 5.2 Similarity, Scale, and Measurement
- 5.2.1 Similar Figures
- 5.2.2 Dilations
- 5.2.3 Indirect Measurement
- 5.2.4 Scale Drawings and Scale Models
6. Percents
- 6.1 Proportions and Percents
- 6.1.1 Relating Decimals, Fractions, and Percents
- 6.1.2 Estimate with Percents
- 6.1.3 Finding Percents
- 6.1.4 Finding a Number When the Percent is Known
- 6.2 Applying Percents
- 6.2.1 Percent Increase and Decrease
- 6.2.2 Applications of Percents
- 6.2.3 Simple Interest
7. Foundations of Geometry
- 7.1 Points, Lines, and Angles
- 7.1.1 Points, Lines, and Planes
- 7.1.2 Angles and Their Relationships
- 7.2 Polygons
- 7.2.1 Triangles
- 7.2.2 Classifying Polygons
- 7.2.3 Coordinate Geometry
- 7.2.4 Congruence
- 7.3 Patterns in Geometry
- 7.3.1 Transformations
- 7.3.2 Symmetry
- 7.3.3 Tessellations
8. Perimeter, Area, and Volume
- 8.1 Perimeter and Area
- 8.1.1 Perimeter and Area of Rectangles and Parallelograms
- 8.1.2 Perimeter and Area of Triangles and Trapezoids
- 8.1.3 Circles
- 8.2 Three-Dimensional Geometry
- 8.2.1 Drawing Three-Dimensional Figures
- 8.2.2 Volume of Prisms and Cylinders
- 8.2.3 Volume of Pyramids and Cones
- 8.2.4 Surface Area of Prisms and Cylinders
- 8.2.5 Surface Area of Pyramids and Cones
- 8.2.6 Spheres
- 8.2.7 Scaling Three-Dimensional Figures
- 8.2.8 Converting Units of Measurement
9. Data and Statistics
- 9.1 Collecting and Describing Data
- 9.1.1 Samples and Surveys
- 9.1.2 Identifying Sampling Errors and Bias
- 9.1.3 Organizing Data
- 9.1.4 Measures of Central Tendency
- 9.1.5 Variability and Box-and-Whisker Plots
- 9.2 Data Displays
- 9.2.1 Displaying Data
- 9.2.2 Analyzing Data Displays
- 9.2.3 Misleading Graphs and Statistics
- 9.2.4 Scatter Plots
- 9.2.5 Choosing the Best Representation of Data
10. Probability
- 10.1 Experimental Probability
- 10.1.1 Probability
- 10.1.2 Experimental Probability
- 10.1.3 Use a Simulation
- 10.2 Theoretical Probability and Counting
- 10.2.1 Theoretical Probability
- 10.2.2 Independent and Dependent Events
- 10.2.3 Making Decisions and Predictions
- 10.2.4 Odds
- 10.2.5 Counting Principles
- 10.2.6 Permutations and Combinations
11. Multi-Step Equations and Inequalities
- 11.1 Solving Equations
- 11.1.1 Simplifying Algebraic Expressions
- 11.1.2 Solving Multi-Step Equations
- 11.1.3 Solving Equations with Variables on Both Sides
- 11.1.4 Solving Literal Equations
- 11.2 Solving Inequalities and Systems of Equations
- 11.2.1 Solving Inequalities by Multiplying or Dividing
- 11.2.2 Solving Multi-Step Inequalities
- 11.2.3 Systems of Equations
12. Graphing Lines
- 12.1 Linear Equations
- 12.1.1 Graphing Linear Equations
- 12.1.2 Slope of a Line
- 12.1.3 Using Slopes and Intercepts
- 12.1.4 Point-Slope Form
- 12.2 Linear Relationships
- 12.2.1 Direct Variation
- 12.2.2 Graphing Inequalities in Two Variables
- 12.2.3 Solving Systems of Linear Equations By Graphing
- 12.2.4 Lines of Best Fit
13. Sequences and Functions
- 13.1 Sequences
- 13.1.1 Terms of Arithmetic Sequences
- 13.1.2 Terms of Geometric Sequences
- 13.1.3 Other Sequences
- 13.2 Functions
- 13.2.1 Linear Functions
- 13.2.2 Exponential Functions
- 13.2.3 Quadratic Functions
- 13.2.4 Inverse Variation
14. Polynomials
- 14.1 Introduction to Polynomials
- 14.1.1 Introduction to Polynomials
- 14.1.2 Simplifying Polynomials
- 14.2 Operations with Polynomials
- 14.2.1 Adding Polynomials
- 14.2.2 Subtracting Polynomials
- 14.2.3 Multiplying Polynomials by Monomials
- 14.2.4 Multiplying Binomials
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.
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 of 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.
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