# Honors 6th Grade Math Companion

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# Honors 6th Grade Math Companion

For students already taking a 6^{th} Grade Math course, this is the perfect study aid with thousands of automatically graded 6th-grade exercises, printable worksheets for each topic and subchapter, animated interactivities, and more. At the heart of the course are engaging and effective video lessons that students love to use. It covers the same topics that are in any 6^{th} Grade Math textbook so it's easy to follow along, it’s available 24/7, and costs far less than a tutor.

Edward Burger is an award-winning mathematician and professor with a passion for teaching math. He makes 6th-grade math fun and rewarding for all students.

If you are looking for a turnkey homeschool course, see __Thinkwellhomeschool.com.__

- 12-month Online Subscription to our complete 6th Grade Math course with video lessons, automatically graded exercises, and much more.

### 6th 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 6th 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!

### 6th Grade Math **Companion **Details

Thinkwell's 6th Grade Math Companion includes all of these features for your student:

- Aligned to Grade 6 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 60 interactivities with audio
- Automatically graded 6th-grade math tests, including 13 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 whole numbers, fractions, decimals, and positive and negative numbers (integers)
- bar graphs, histograms, and line graphs
- solving equations and inequalities
- rates, ratios, percent, and proportions
- lines, angles, and polygons
- transformations and symmetry
- customary and metric units
- perimeter and area of polygons
- circumference and area of circles
- volume and surface area of three-dimensional figures
- relating tables and graphs
- graphing functions and slope
- experimental and theoretical probability

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### Table of Contents

#### 1. Whole Numbers and Patterns

- 1.1 Whole Numbers and Exponents
- 1.1.1 Comparing and Ordering Whole Numbers

- 1.1.2 Estimating with Whole Numbers

- 1.1.3 Exponents

- 1.2 Using Whole Numbers
- 1.2.1 Order of Operations

- 1.2.2 Properties and Reasoning Methods

- 1.2.3 Choose the Method of Computation

- 1.2.4 Patterns and Sequences

#### 2. Introduction to Algebra

- 2.1 Variables and Expressions
- 2.1.1 Variables and Expressions

- 2.1.2 Translate Between Words and Math

- 2.1.3 Translating Between Tables and Expressions

- 2.2 Introduction to Equations
- 2.2.1 Equations and Their Solutions

- 2.2.2 Addition Equations

- 2.2.3 Subtraction Equations

- 2.2.4 Multiplication Equations

- 2.2.5 Division Equations

#### 3. Decimals

- 3.1 Introduction to Decimals
- 3.1.1 Representing, Comparing, and Ordering Decimals

- 3.1.2 Rounding and Estimating Decimals

- 3.1.3 Adding and Subtracting Decimals

- 3.2 Multiplying and Dividing Decimals
- 3.2.1 Multiplying Decimals

- 3.2.2 Applying Exponents: Scientific Notation

- 3.2.3 Dividing Decimals by Whole Numbers

- 3.2.4 Dividing by Decimals

- 3.2.5 Solving Decimal Equations

#### 4. Number Theory and Fractions

- 4.1 Number Theory
- 4.1.1 Divisibility

- 4.1.2 Factors and Prime Factorization

- 4.1.3 Greatest Common Factor

- 4.2 Representing Fractions
- 4.2.1 Decimals and Fractions

- 4.2.2 Equivalent Fractions

- 4.2.3 Mixed Numbers and Improper Fractions

- 4.3 Introduction to Operations with Fractions
- 4.3.1 Comparing and Ordering Fractions

- 4.3.2 Adding and Subtracting with Like Denominators

- 4.3.3 Estimating Fraction Sums and Differences

#### 5. Operations with Fractions

- 5.1 Adding and Subtracting Fractions
- 5.1.1 Least Common Multiple

- 5.1.2 Adding and Subtracting with Unlike Denominators

- 5.1.3 Adding and Subtracting Mixed Numbers

- 5.1.4 Regrouping to Subtract Mixed Numbers

- 5.1.5 Solving Fraction Equations: Addition and Subtraction

- 5.2 Multiplying and Dividing Fractions
- 5.2.1 Multiplying Fractions by Whole Numbers

- 5.2.2 Multiplying Fractions

- 5.2.3 Multiplying Mixed Numbers

- 5.2.4 Dividing Fractions and Mixed Numbers

- 5.2.5 Solving Fraction Equations: Multiplication and Division

#### 6. Data Displays

- 6.1 Organizing and Displaying Data
- 6.1.1 Measures of Central Tendency

- 6.1.2 Frequency Tables, Stem-and-Leaf Plots, and Line Plots

- 6.1.3 Bar Graphs and Histograms

- 6.2 Line Graphs and Assessing Displays
- 6.2.1 Line Graphs

- 6.2.2 Misleading Graphs

- 6.2.3 Choosing An Appropriate Display

#### 7. Proportional Relationships

- 7.1 Ratios and Proportions
- 7.1.1 Ratios and Rates

- 7.1.2 Applying Rates and Ratios

- 7.1.3 Proportions

- 7.2 Applications of Proportions
- 7.2.1 Similar Figures

- 7.2.2 Indirect Measurement

- 7.2.3 Scale Drawings and Maps

- 7.3 Percent
- 7.3.1 Percents

- 7.3.2 Percents, Decimals, and Fractions

- 7.3.3 Percent Problems

- 7.3.4 Using Percents

#### 8. Geometric Relationships

- 8.1 Lines and Angles
- 8.1.1 Points, Lines, and Planes

- 8.1.2 Measuring and Classifying Angles

- 8.1.3 Angle Relationships

- 8.1.4 Classifying Lines

- 8.2 Polygons
- 8.2.1 Triangles

- 8.2.2 Quadrilaterals

- 8.2.3 Polygons

- 8.3 Polygon Relationships
- 8.3.1 Geometric Patterns

- 8.3.2 Congruent Polygons

- 8.3.3 Transformations

- 8.3.4 Line Symmetry

#### 9. Measurement

- 9.1 Customary and Metric Measurement
- 9.1.1 Understanding Customary Units of Measure

- 9.1.2 Understanding Metric Units of Measure

- 9.1.3 Converting Customary Units

- 9.1.4 Converting Metric Units

- 9.1.5 Time and Temperature

- 9.2 Measuring Geometric Figures
- 9.2.1 Finding Angle Measures in Polygons

- 9.2.2 Perimeter

- 9.2.3 Circles and Circumference

#### 10. Area and Volume

- 10.1 Area
- 10.1.1 Area of Rectangles and Parallelograms

- 10.1.2 Area of Triangles and Trapezoids

- 10.1.3 Area of Composite Figures

- 10.1.4 Changing Dimensions

- 10.1.5 Area of Circles

- 10.2 Volume and Surface Area
- 10.2.1 Three-Dimensional Figures

- 10.2.2 Volume of Prisms

- 10.2.3 Volume of Cylinders

- 10.2.4 Surface Area

#### 11. Integers and the Coordinate Plane

- 11.1 Introduction to Integers
- 11.1.1 Integers in Real-World Situations

- 11.1.2 Comparing and Ordering Integers

- 11.1.3 The Coordinate Plane

- 11.1.4 Transformations in the Coordinate Plane

- 11.2 Operations with Integers
- 11.2.1 Adding Integers

- 11.2.2 Subtracting Integers

- 11.2.3 Multiplying Integers

- 11.2.4 Dividing Integers

- 11.2.5 Solving Integer Equations

#### 12. Functions, Equations, and Inequalities

- 12.1 Functions
- 12.1.1 Tables and Functions

- 12.1.2 Graphing Functions

- 12.1.3 Slope and Rate of Change

- 12.2 Solving Equations and Inequalities
- 12.2.1 Solving Two-Step Equations

- 12.2.2 Solving Inequalities

- 12.2.3 Solving Two-Step Inequalities

#### 13. Probability

- 13.1 Understanding Probability
- 13.1.1 Introduction to Probability

- 13.1.2 Experimental Probability

- 13.1.3 Counting Methods and Sample Spaces

- 13.2 Finding Probabilities
- 13.2.1 Theoretical Probability

- 13.2.2 Compound Events

- 13.2.3 Making Predictions

### 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.