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Thinkwell Home-school Curriculum

7th Grade Math

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Try 7th Grade Math FREE »
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7th Grade Math Online Course 12-month access $125.00
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Our complete 7th Grade Math package includes:
  • 12-month Online Subscription to our complete 7th Grade Math course with video lessons, day-by-day lesson plans, automatically graded exercises, and much more.

7th Grade Math Details

Thinkwell's 7th Grade Math course includes thousands of automatically graded 7th Grade Math problems, printable worksheets for each topic and subchapter, and lots of animated interactivities, and at the core of this complete homeschool course are fun and effective video lessons that students love to use.

Thinkwell's homeschool video lessons feature Edward Burger, an award-winning teacher with a special talent for making math simple for any student. Your homeschool student will enjoy his sense of humor and his obvious passion for teaching math. 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 7th Grade Math has all the features your home school needs:

  • Aligned to Grade 7 National Math Standards
  • More than 100 topics with 250+ video lessons
  • 34-week lesson plan with daily assignments (see lesson plan)
  • 69.6 available contact hours (What is this?)
  • 1000+ automatically graded exercises allow you to track your progress
  • More than 50 interactivities with audio.
  • Printable 7th grade math worksheets and answer keys for each subchapter and topic
    (See sample worksheet - See sample answer key)
  • Automatically graded 7th grade math tests, including 12 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 rational numbers (fractions and decimals)
    • operations with integers
    • solving equations and inequalities
    • rates, ratios, percent, and proportions
    • square roots
    • Pythagorean theorem
    • bar graphs, histograms, box-and-whisker plots, and line graphs
    • scatter plots
    • lines, angles, and polygons
    • transformations, dilations, and symmetry
    • perimeter and area of polygons
    • circumference and area of circles
    • volume and surface area of prisms, cylinders, pyramids, and cones
    • experimental and theoretical probability
    • probability of independent and dependent events
    • permutations and combinations

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. 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
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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.
- Liza H.
- Sandra G.
- Kevin C.
- Hari A.
- Paula R.


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