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7th Grade Math Details
Thinkwell's Grade 7 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 7 Math around hundreds of multimedia tutorials that provide dozens of hours of instructional material that are aligned with Grade 7 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 7 Math are more than 50 Interactivities, which are a fun way to engage, play, and learn.
Table of Contents
(Expand All - Close All)1. Algebraic Reasoning
- 1.1 Patterns, Operations, and Properties
- 1.1.1 Numbers and Patterns
- 1.1.2 Exponents
- 1.1.3 Applying Exponents: Scientific Notation
- 1.1.4 Order of Operations
- 1.1.5 Properties
- 1.2 Algebraic Expressions and Equations
- 1.2.1 Variables and Algebraic Expressions
- 1.2.2 Translate Words into Math
- 1.2.3 Simplifying Algebraic Expressions
- 1.2.4 Equations and Their Solutions
- 1.2.5 Addition and Subtraction Equations
- 1.2.6 Multiplication and Division Equations
2. Integers and Rational Numbers
- 2.1 Integers
- 2.1.1 Integers
- 2.1.2 Adding Integers
- 2.1.3 Subtracting Integers
- 2.1.4 Multiplying and Dividing Integers
- 2.1.5 Solving Equations Containing Integers
- 2.2 Factors and Multiples
- 2.2.1 Prime Factorization
- 2.2.2 Greatest Common Factor
- 2.2.3 Least Common Multiple
- 2.3 Rational Numbers
- 2.3.1 Equivalent Fractions and Mixed Numbers
- 2.3.2 Equivalent Fractions and Decimals
- 2.3.3 Comparing and Ordering Rational Numbers
3. Operations with Rational Numbers
- 3.1 Operations with Decimals
- 3.1.1 Rounding and Estimating Decimals
- 3.1.2 Adding and Subtracting Decimals
- 3.1.3 Multiplying Decimals
- 3.1.4 Dividing Decimals by Whole Numbers
- 3.1.5 Dividing Decimals
- 3.2 Operations with Fractions
- 3.2.1 Estimating Fraction Sums and Differences
- 3.2.2 Multiplying Fractions and Mixed Numbers
- 3.2.3 Dividing Fractions and Mixed Numbers
- 3.2.4 Adding and Subtracting Fractions and Mixed Numbers
- 3.2.5 Solving Equations with Rational Numbers
4. Proportional Relationships
- 4.1 Ratios, Rates, and Proportions
- 4.1.1 Ratios
- 4.1.2 Rates
- 4.1.3 Identifying and Writing Proportions
- 4.1.4 Solving Proportions
- 4.2 Measurement
- 4.2.1 Customary Measurement
- 4.2.2 Metric Measurements
- 4.2.3 Dimensional Analysis
- 4.2.4 Similar Figures and Proportions
- 4.2.5 Using Similar Figures
- 4.2.6 Scale Drawings and Scale Models
5. Graphs and Functions
- 5.1 Functions, Tables, and Graphs
- 5.1.1 The Coordinate Plane
- 5.1.2 Tables and Graphs
- 5.1.3 Interpreting Graphs
- 5.1.4 Functions, Tables, and Graphs
- 5.1.5 Find the Pattern in Sequences
- 5.2 Linear Functions
- 5.2.1 Graphing Linear Functions
- 5.2.2 Slopes and Rates of Change
- 5.2.3 Slope-Intercept Form
- 5.2.4 Direct Variation
- 5.2.5 Inverse Variation
6. Percents
- 6.1 Proportions and Percents
- 6.1.1 Percents
- 6.1.2 Percents, Decimals, and Fractions
- 6.1.3 Estimating with Percents
- 6.1.4 Finding Percents
- 6.2 Applying Percents
- 6.2.1 Finding a Number When the Percent is Known
- 6.2.2 Percent Increase and Decrease
- 6.2.3 Simple Interest
7. Data
- 7.1 Organizing and Displaying Data
- 7.1.1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots
- 7.1.2 Mean, Median, Mode, and Range
- 7.1.3 Bar Graphs and Histograms
- 7.1.4 Reading and Interpreting Circle Graphs
- 7.1.5 Box-and-Whisker Plots
- 7.2 Representing and Analyzing Data
- 7.2.1 Line Graphs
- 7.2.2 Choosing an Appropriate Display
- 7.2.3 Populations and Samples
- 7.2.4 Scatter Plots
- 7.2.5 Misleading Graphs
8. Geometric Figures
- 8.1 Lines and Angles
- 8.1.1 Points, Lines, and Planes
- 8.1.2 Angles and Their Relationships
- 8.1.3 Geometric Relationships
- 8.2 Circles and Polygons
- 8.2.1 Classifying Polygons
- 8.2.2 Classifying Triangles
- 8.2.3 Classifying Quadrilaterals
- 8.2.4 Angles in Polygons
- 8.3 Transformations
- 8.3.1 Congruent Figures
- 8.3.2 Translations, Reflections, and Rotations
- 8.3.3 Dilations
- 8.3.4 Symmetry
9. Measurement: Two-Dimensional Figures
- 9.1 Perimeter, Circumference, and Area
- 9.1.1 Accuracy and Precision
- 9.1.2 Perimeter and Circumference
- 9.1.3 Area of Parallelograms
- 9.1.4 Area of Triangles and Trapezoids
- 9.1.5 Area of Circles
- 9.1.6 Area of Irregular Figures
- 9.2 Square Roots and the Pythagorean Theorem
- 9.2.1 Squares and Square Roots
- 9.2.2 The Pythagorean Theorem
10. Measurement: Three-Dimensional Figures
- 10.1 Volume
- 10.1.1 Introduction to Three-Dimensional Figures
- 10.1.2 Volume of Prisms and Cylinders
- 10.1.3 Volume of Pyramids and Cones
- 10.2 Surface Area
- 10.2.1 Surface Area of Prisms and Cylinders
- 10.2.2 Surface Area of Pyramids and Cones
- 10.2.3 Changing Dimensions
11. Probability
- 11.1 Introduction to Probability
- 11.1.1 Probability
- 11.1.2 Experimental Probability
- 11.1.3 Make a List to Find Sample Spaces
- 11.1.4 Theoretical Probability
- 11.2 Applications of Probability
- 11.2.1 Making Predictions
- 11.2.2 Probability of Independent and Dependent Events
- 11.2.3 Combinations
- 11.2.4 Permutations
12. Multi-Step Equations and Inequalities
- 12.1 Multi-Step Equations
- 12.1.1 Solving Two-Step Equations
- 12.1.2 Solving Multi-Step Equations
- 12.1.3 Solving Equations with Variables on Both Sides
- 12.2 Inequalities
- 12.2.1 Inequalities
- 12.2.2 Solving Inequalities by Adding or Subtracting
- 12.2.3 Solving Inequalities by Multiplying or Dividing
- 12.2.4 Solving Two-Step Inequalities
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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