8th Grade Math Companion

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.