# 8th Grade Math Companion

$125.00

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# 8th Grade Math Companion

Thinkwell's 8th Grade Math Companion course features online video lessons and interactive exercises that are both effective and enjoyable. And because it covers all of the topics in a typical 8th-grade math textbook, it's the perfect study aid to use when an old-fashioned textbook in a traditional classroom isn't good enough.

Thinkwell's example-driven video lessons feature award-winning teacher Edward Burger, whose experience and passion make math easy for any student. In addition, 8th Grade Math Companion includes thousands of automatically graded exercises and printable worksheets that help with drill and practice.

For a turnkey homeschool course, see www.thinkwellhomeschool.com.

**Our complete 8th Grade Math Companion package includes:**

- 12-month Online Subscription to our complete 8th Grade Math course with video lessons, automatically graded exercises, and much more.

### 8th Grade Math **Companion **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 8th Grade Math 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!

### 8th Grade Math **Companion **Details

Thinkwell's 8th Grade Math Companion includes all of these features for your student:

- 1000+ interactive exercises with immediate feedback allow you to track your progress.
- 40 animated interactivities with audio
- 8th-grade math tests, including 14 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
- Closed captioning for all video lessons (most are also available in Spanish)
- Glossary of more than 200 mathematical terms
- Engaging content to help students advance their mathematical knowledge:
- simplifying algebraic expressions
- solving linear equations and inequalities
- operations with integers and rational numbers
- relating equations, tables, and graphs
- properties of exponents
- square roots
- Pythagorean Theorem
- ratio, proportion, and percents
- geometry including relationships between lines, angles, and polygons
- 2 and 3-dimensional measurement including perimeter, area, volume, and surface area
- statistics and data displays
- probability
- graphing functions
- writing the equation of a line
- adding, subtracting, and multiplying polynomials

### Table of Contents

#### 1. Principles of Algebra

- 1.1 Expressions and Properties of Numbers
- 1.1.1 Introduction to Exponents

- 1.1.2 Using the Order of Operations

- 1.1.3 Variables and Algebraic Expressions

- 1.1.4 Translate Words into Math

- 1.1.5 Properties of Numbers

- 1.2 Operations with Integers
- 1.2.1 Integers

- 1.2.2 Adding Integers

- 1.2.3 Subtracting Integers

- 1.2.4 Multiplying and Dividing Integers

- 1.3 Equations and Inequalities
- 1.3.1 Addition and Subtraction Equations

- 1.3.2 Multiplication and Division Equations

- 1.3.3 Introduction to Inequalities

#### 2. Rational Numbers

- 2.1 Operations with Rational Numbers
- 2.1.1 Rational Numbers

- 2.1.2 Comparing and Ordering Rational Numbers

- 2.1.3 Adding and Subtracting Rational Numbers

- 2.1.4 Multiplying Rational Numbers

- 2.1.5 Dividing Rational Numbers

- 2.2 Equations with Rational Numbers
- 2.2.1 Solving Equations with Rational Numbers

- 2.2.2 Solving Two-Step Equations

#### 3. Graphs, Functions, and Sequences

- 3.1 Tables and Graphs
- 3.1.1 Ordered Pairs

- 3.1.2 Graphing on a Coordinate Plane

- 3.1.3 Interpreting Graphs and Tables

- 3.2 Functions and Sequences
- 3.2.1 Functions

- 3.2.2 Equations, Tables, and Graphs

- 3.2.3 Arithmetic Sequences

#### 4. Exponents and Roots

- 4.1 Properties of Exponents
- 4.1.1 Product and Power Properties of Exponents

- 4.1.2 Integer Exponents

- 4.1.3 Quotient Properties of Exponents

- 4.1.4 An Application of Exponents: Scientific Notation

- 4.2 Square Roots and the Pythagorean Theorem
- 4.2.1 Square Roots and Real Numbers

- 4.2.2 Operations with Square Roots

- 4.2.3 The Pythagorean Theorem and the Distance Formula

#### 5. Proportionality and Measurement

- 5.1 Ratios, Rates, and Proportions
- 5.1.1 Ratios and Proportions

- 5.1.2 Ratios, Rates, and Unit Rates

- 5.1.3 Dimensional Analysis

- 5.1.4 Solving Proportions

- 5.2 Similarity, Scale, and Measurement
- 5.2.1 Similar Figures

- 5.2.2 Dilations

- 5.2.3 Indirect Measurement

- 5.2.4 Scale Drawings and Scale Models

#### 6. Percents

- 6.1 Proportions and Percents
- 6.1.1 Relating Decimals, Fractions, and Percents

- 6.1.2 Estimate with Percents

- 6.1.3 Finding Percents

- 6.1.4 Finding a Number When the Percent is Known

- 6.2 Applying Percents
- 6.2.1 Percent Increase and Decrease

- 6.2.2 Applications of Percents

- 6.2.3 Simple Interest

#### 7. Foundations of Geometry

- 7.1 Points, Lines, and Angles
- 7.1.1 Points, Lines, and Planes

- 7.1.2 Angles and Their Relationships

- 7.2 Polygons
- 7.2.1 Triangles

- 7.2.2 Classifying Polygons

- 7.2.3 Coordinate Geometry

- 7.2.4 Congruence

- 7.3 Patterns in Geometry
- 7.3.1 Transformations

- 7.3.2 Symmetry

- 7.3.3 Tessellations

#### 8. Perimeter, Area, and Volume

- 8.1 Perimeter and Area
- 8.1.1 Perimeter and Area of Rectangles and Parallelograms

- 8.1.2 Perimeter and Area of Triangles and Trapezoids

- 8.1.3 Circles

- 8.2 Three-Dimensional Geometry
- 8.2.1 Drawing Three-Dimensional Figures

- 8.2.2 Volume of Prisms and Cylinders

- 8.2.3 Volume of Pyramids and Cones

- 8.2.4 Surface Area of Prisms and Cylinders

- 8.2.5 Surface Area of Pyramids and Cones

- 8.2.6 Spheres

- 8.2.7 Scaling Three-Dimensional Figures

- 8.2.8 Converting Units of Measurement

#### 9. Data and Statistics

- 9.1 Collecting and Describing Data
- 9.1.1 Samples and Surveys

- 9.1.2 Identifying Sampling Errors and Bias

- 9.1.3 Organizing Data

- 9.1.4 Measures of Central Tendency

- 9.1.5 Variability and Box-and-Whisker Plots

- 9.2 Data Displays
- 9.2.1 Displaying Data

- 9.2.2 Analyzing Data Displays

- 9.2.3 Misleading Graphs and Statistics

- 9.2.4 Scatter Plots

- 9.2.5 Choosing the Best Representation of Data

#### 10. Probability

- 10.1 Experimental Probability
- 10.1.1 Probability

- 10.1.2 Experimental Probability

- 10.1.3 Use a Simulation

- 10.2 Theoretical Probability and Counting
- 10.2.1 Theoretical Probability

- 10.2.2 Independent and Dependent Events

- 10.2.3 Making Decisions and Predictions

- 10.2.4 Odds

- 10.2.5 Counting Principles

- 10.2.6 Permutations and Combinations

#### 11. Multi-Step Equations and Inequalities

- 11.1 Solving Equations
- 11.1.1 Simplifying Algebraic Expressions

- 11.1.2 Solving Multi-Step Equations

- 11.1.3 Solving Equations with Variables on Both Sides

- 11.1.4 Solving Literal Equations

- 11.2 Solving Inequalities and Systems of Equations
- 11.2.1 Solving Inequalities by Multiplying or Dividing

- 11.2.2 Solving Multi-Step Inequalities

- 11.2.3 Systems of Equations

#### 12. Graphing Lines

- 12.1 Linear Equations
- 12.1.1 Graphing Linear Equations

- 12.1.2 Slope of a Line

- 12.1.3 Using Slopes and Intercepts

- 12.1.4 Point-Slope Form

- 12.2 Linear Relationships
- 12.2.1 Direct Variation

- 12.2.2 Graphing Inequalities in Two Variables

- 12.2.3 Solving Systems of Linear Equations By Graphing

- 12.2.4 Lines of Best Fit

#### 13. Sequences and Functions

- 13.1 Sequences
- 13.1.1 Terms of Arithmetic Sequences

- 13.1.2 Terms of Geometric Sequences

- 13.1.3 Other Sequences

- 13.2 Functions
- 13.2.1 Linear Functions

- 13.2.2 Exponential Functions

- 13.2.3 Quadratic Functions

- 13.2.4 Inverse Variation

#### 14. Polynomials

- 14.1 Introduction to Polynomials
- 14.1.1 Introduction to Polynomials

- 14.1.2 Simplifying Polynomials

- 14.2 Operations with Polynomials
- 14.2.1 Adding Polynomials

- 14.2.2 Subtracting Polynomials

- 14.2.3 Multiplying Polynomials by Monomials

- 14.2.4 Multiplying Binomials

### 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.