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Thinkwell Home-school Curriculum

8th Grade Math

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8th Grade Math Online Course 12-month access $125.00
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Our complete 8th Grade Math package includes:
  • 12-month Online Subscription to our complete 8th Grade Math 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.

8th Grade Math Details

Thinkwell's 8th Grade Math course features online video lessons and interactive exercises that are both effective and enjoyable. It's the perfect fit for any homeschool curriculum.

Thinkwell's example-driven video lessons feature award-winning teacher Edward Burger, whose experience and passion make math easy for any homeschool student. In addition, 8th Grade Math includes thousands of automatically graded exercises that help your homeschool students put what they've learned into practice.

Thinkwell's 8th Grade Math has all the features your home school needs:

  • Aligned to Grade 8 National Math Standards
  • More than 100 topics with 250+ video lessons
  • 36-week lesson plan with daily assignments (see lesson plan)
  • 92 available contact hours (What is this?)
  • 1000+ automatically graded exercises allow you to track your progress
  • 40 animated interactivities with audio
  • Printable 8th grade math worksheets and answer keys for each subchapter and topic
    (See sample worksheet - See sample answer key)
  • 8th grade math tests, including 14 chapter tests, as well as practice tests, a midterm, and a final exam
  • 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:
    • simplifying algebraic expressions
    • solving linear equations and inequalities
    • operations with integers and rational numbers
    • relating equations, tables, and graphs
    • properties of exponents
    • square roots
    • Pythagorean Theorem
    • ratio, proportion, and percents
    • geometry including relationships between lines, angles, and polygons
    • 2 and 3-dimensional measurement including perimeter, area, volume, and surface area
    • statistics and data displays
    • probability
    • graphing functions
    • writing the equation of a line
    • adding, subtracting, and multiplying polynomials

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. 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
    • 7.1.3 Parallel and Perpendicular Lines_not_in_product_needs_new_video
  • 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
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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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- Sandra G.
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