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6th Grade Math Details
Thinkwell's Grade 6 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 6 Math around hundreds of multimedia tutorials that provide dozens of hours of instructional material that are aligned with Grade 6 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 6 Math are more than 60 Interactivities, which are a fun way to engage, play, and learn.
Table of Contents
(Expand All - Close All)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
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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