# 7th Grade Math

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# 7th Grade Math

Thinkwell's 7th Grade Math helps students learn math easier because of the fun and effective videos by award-winning math teacher, Edward Burger. His sense of humor and passion for teaching math make his videos the ideal study aid for 7th graders who need help outside of the classroom. Created to work with any learning style, his video lessons keep students engaged and entertained so they'll learn the fundamentals of math easily.

Thinkwell's 7th Grade Math includes much more than the videos! There are thousands of automatically graded 7th-grade math exercises, printable worksheets for each topic and subchapter, and lots of animated interactivities, which makes it more fun to use than an old-fashioned textbook. It's available whenever you need it, and it's available for one fixed price instead of by the hour, so it's better than a tutor.

**Our complete 7th Grade Math package includes:**

- 12-month Online Subscription to our complete 7th Grade Math course with video lessons, automatically graded exercises, and much more.

### 7th Grade Math Materials

### Online Subscription, *12-month access*

Access to a complete online package that includes everything you need:

- High-quality video lessons explain all of the 7th Grade Math concepts
- Automatically graded exercises with immediate feedback allow you to track your progress
- Subscriptions start when you are ready. Buy now and activate your course anytime you like. Wait up to one year to activate your subscription; your 12-month subscription doesn't begin until you say so!

### 7th Grade Math Details

Thinkwell's 7th Grade Math includes all of these features for your student:

- Aligned to Grade 7 National Math Standards
- More than 100 topics with 250+ video lessons
- 1000+ interactive exercises with immediate feedback allow you to track your progress
- More than 50 interactivities with audio
- Automatically graded 7th grade math tests, including 12 chapter tests, as well as practice tests, a midterm, and a final exam (only available in the homeschool version)
- 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

### Table of Content

#### 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**

Edward Burger is an award-winning professor with a passion for teaching mathematics.

Since 2013, Edward Burger has been President of Southwestern University, a top-ranked liberal arts college in Georgetown, Texas. Previously, he was Professor of Mathematics at Williams College. Dr. Burger earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College.

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.