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Thinkwell Home-school Curriculum

6th Grade Math

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Try 6th Grade Math FREE »
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6th Grade Math Online Course 12-month access $125.00
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CD Set $29.00
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Our complete 6th Grade Math package includes:
  • 12-month Online Subscription to our complete 6th 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.

6th Grade Math Details

Thinkwell's 6th Grade Math course has thousands of automatically graded 6th Grade Math problems, printable worksheets for each topic and subchapter, and lots of animated interactivities, but at the heart of it are fun and effective video lessons that students love to use.

Edward Burger is an award-winning teacher with a passion for teaching math, and he makes 6th Grade Math simple for every homeschool student. Created to work with any learning style, his homeschool video lessons will keep your students engaged and entertained so they'll learn the fundamentals of math easily.

Thinkwell's 6th Grade Math has all the features your home school needs:

  • Aligned to Grade 6 National Math Standards
  • More than 100 topics with 250+ video lessons
  • 34-week lesson plan with daily assignments (see lesson plan)
  • 64 available contact hours (What is this?)
  • 1000+ automatically graded exercises allow you to track your progress
  • More than 60 interactivities with audio
  • Printable 6th grade math worksheets and answer keys for each topic
    (See sample worksheet - See sample answer key)
  • Automatically graded 6th grade math tests, including 13 chapter tests, as well as practice tests, a midterm, and a final exam
  • Real-world application examples in both lectures and exercises
  • Glossary of more than 200 mathematical terms
  • Closed captioning for all video lessons (most are also available in Spanish)
  • Brand-new content to help students advance their mathematical knowledge:
    • operations with whole numbers, fractions, decimals, and positive and negative numbers (integers)
    • bar graphs, histograms, and line graphs
    • solving equations and inequalities
    • rates, ratios, percent, and proportions
    • lines, angles, and polygons
    • transformations and symmetry
    • customary and metric units
    • perimeter and area of polygons
    • circumference and area of circles
    • volume and surface area of three-dimensional figures
    • relating tables and graphs
    • graphing functions and slope
    • experimental and theoretical 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 and Patterns

  • 1.1 Whole Numbers and Exponents
    • 1.1.1 Comparing and Ordering Whole Numbers
    • 1.1.2 Estimating with Whole Numbers
    • 1.1.3 Exponents
  • 1.2 Using Whole Numbers
    • 1.2.1 Order of Operations
    • 1.2.2 Properties and Reasoning Methods
    • 1.2.3 Choose the Method of Computation
    • 1.2.4 Patterns and Sequences

2. Introduction to Algebra

  • 2.1 Variables and Expressions
    • 2.1.1 Variables and Expressions
    • 2.1.2 Translate Between Words and Math
    • 2.1.3 Translating Between Tables and Expressions
  • 2.2 Introduction to Equations
    • 2.2.1 Equations and Their Solutions
    • 2.2.2 Addition Equations
    • 2.2.3 Subtraction Equations
    • 2.2.4 Multiplication Equations
    • 2.2.5 Division Equations

3. Decimals

  • 3.1 Introduction to Decimals
    • 3.1.1 Representing, Comparing, and Ordering Decimals
    • 3.1.2 Rounding and Estimating Decimals
    • 3.1.3 Adding and Subtracting Decimals
  • 3.2 Multiplying and Dividing Decimals
    • 3.2.1 Multiplying Decimals
    • 3.2.2 Applying Exponents: Scientific Notation
    • 3.2.3 Dividing Decimals by Whole Numbers
    • 3.2.4 Dividing by Decimals
    • 3.2.5 Solving Decimal Equations

4. Number Theory and Fractions

  • 4.1 Number Theory
    • 4.1.1 Divisibility
    • 4.1.2 Factors and Prime Factorization
    • 4.1.3 Greatest Common Factor
  • 4.2 Representing Fractions
    • 4.2.1 Decimals and Fractions
    • 4.2.2 Equivalent Fractions
    • 4.2.3 Mixed Numbers and Improper Fractions
  • 4.3 Introduction to Operations with Fractions
    • 4.3.1 Comparing and Ordering Fractions
    • 4.3.2 Adding and Subtracting with Like Denominators
    • 4.3.3 Estimating Fraction Sums and Differences

5. Operations with Fractions

  • 5.1 Adding and Subtracting Fractions
    • 5.1.1 Least Common Multiple
    • 5.1.2 Adding and Subtracting with Unlike Denominators
    • 5.1.3 Adding and Subtracting Mixed Numbers
    • 5.1.4 Regrouping to Subtract Mixed Numbers
    • 5.1.5 Solving Fraction Equations: Addition and Subtraction
  • 5.2 Multiplying and Dividing Fractions
    • 5.2.1 Multiplying Fractions by Whole Numbers
    • 5.2.2 Multiplying Fractions
    • 5.2.3 Multiplying Mixed Numbers
    • 5.2.4 Dividing Fractions and Mixed Numbers
    • 5.2.5 Solving Fraction Equations: Multiplication and Division

6. Data Displays

  • 6.1 Organizing and Displaying Data
    • 6.1.1 Measures of Central Tendency
    • 6.1.2 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
    • 6.1.3 Bar Graphs and Histograms
  • 6.2 Line Graphs and Assessing Displays
    • 6.2.1 Line Graphs
    • 6.2.2 Misleading Graphs
    • 6.2.3 Choosing An Appropriate Display

7. Proportional Relationships

  • 7.1 Ratios and Proportions
    • 7.1.1 Ratios and Rates
    • 7.1.2 Applying Rates and Ratios
    • 7.1.3 Proportions
  • 7.2 Applications of Proportions
    • 7.2.1 Similar Figures
    • 7.2.2 Indirect Measurement
    • 7.2.3 Scale Drawings and Maps
  • 7.3 Percent
    • 7.3.1 Percents
    • 7.3.2 Percents, Decimals, and Fractions
    • 7.3.3 Percent Problems
    • 7.3.4 Using Percents

8. Geometric Relationships

  • 8.1 Lines and Angles
    • 8.1.1 Points, Lines, and Planes
    • 8.1.2 Measuring and Classifying Angles
    • 8.1.3 Angle Relationships
    • 8.1.4 Classifying Lines
  • 8.2 Polygons
    • 8.2.1 Triangles
    • 8.2.2 Quadrilaterals
    • 8.2.3 Polygons
  • 8.3 Polygon Relationships
    • 8.3.1 Geometric Patterns
    • 8.3.2 Congruent Polygons
    • 8.3.3 Transformations
    • 8.3.4 Line Symmetry

9. Measurement

  • 9.1 Customary and Metric Measurement
    • 9.1.1 Understanding Customary Units of Measure
    • 9.1.2 Understanding Metric Units of Measure
    • 9.1.3 Converting Customary Units
    • 9.1.4 Converting Metric Units
    • 9.1.5 Time and Temperature
  • 9.2 Measuring Geometric Figures
    • 9.2.1 Finding Angle Measures in Polygons
    • 9.2.2 Perimeter
    • 9.2.3 Circles and Circumference

10. Area and Volume

  • 10.1 Area
    • 10.1.1 Area of Rectangles and Parallelograms
    • 10.1.2 Area of Triangles and Trapezoids
    • 10.1.3 Area of Composite Figures
    • 10.1.4 Changing Dimensions
    • 10.1.5 Area of Circles
  • 10.2 Volume and Surface Area
    • 10.2.1 Three-Dimensional Figures
    • 10.2.2 Volume of Prisms
    • 10.2.3 Volume of Cylinders
    • 10.2.4 Surface Area

11. Integers and the Coordinate Plane

  • 11.1 Introduction to Integers
    • 11.1.1 Integers in Real-World Situations
    • 11.1.2 Comparing and Ordering Integers
    • 11.1.3 The Coordinate Plane
    • 11.1.4 Transformations in the Coordinate Plane
  • 11.2 Operations with Integers
    • 11.2.1 Adding Integers
    • 11.2.2 Subtracting Integers
    • 11.2.3 Multiplying Integers
    • 11.2.4 Dividing Integers
    • 11.2.5 Solving Integer Equations

12. Functions, Equations, and Inequalities

  • 12.1 Functions
    • 12.1.1 Tables and Functions
    • 12.1.2 Graphing Functions
    • 12.1.3 Slope and Rate of Change
  • 12.2 Solving Equations and Inequalities
    • 12.2.1 Solving Two-Step Equations
    • 12.2.2 Solving Inequalities
    • 12.2.3 Solving Two-Step Inequalities

13. Probability

  • 13.1 Understanding Probability
    • 13.1.1 Introduction to Probability
    • 13.1.2 Experimental Probability
    • 13.1.3 Counting Methods and Sample Spaces
  • 13.2 Finding Probabilities
    • 13.2.1 Theoretical Probability
    • 13.2.2 Compound Events
    • 13.2.3 Making Predictions
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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.
- Liza H.
- Sandra G.
- Kevin C.
- Hari A.
- Paula R.

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