Must Know Math Grade 6

by Nicholas Falletta

Overview

A UNIQUE NEW APPROACH THAT’S LIKE A LIGHTNING BOLT TO THE BRAIN

You know that moment when you feel as though a lightning bolt has hit you because you finally get something? That’s how this book will make you react. (We hope!) Each chapter makes sure that what you really need to know is clear right off the bat and sees to it that you build on this knowledge. Where other books ask you to memorize stuff, we’re going to show you the must know ideas that will guide you toward success in sixth-grade math. You will start each chapter learning what the must know ideas behind a math subject are, and these concepts will help you solve the math problems that you find in your classwork and on exams.

Dive into this book and find:

• 250+ practice questions that mirror what you will find in your classwork and on exams
• A bonus app with 100+ flashcards that will reinforce what you’ve learned
• Extensive examples that drive home essential concepts
• An easy-access setup that allows you to jump in and out of subjects
• Grade 6 math topics aligned to national and state education standards
• Special help for more challenging math subjects, including equations, geometry, probability, and statistics

We’re confident that the must know ideas in this book will have you up and solving math problems in no time—or at least in a reasonable amount of time!

Product Details

ISBN-13:	9781260464092
Publisher:	McGraw Hill LLC
Publication date:	06/26/2020
Sold by:	Barnes & Noble
Format:	eBook
Pages:	400
File size:	18 MB
Note:	This product may take a few minutes to download.

About the Author

Nicholas Falletta is a mathematics writer and the author of McGraw Hill-Education’s SSAT/ISEE.

Table of Contents

Introduction vii

The Flashcard App ix

Author's Note xi

1 The Number System 1

The Base-10 Number System 2

Different Types of Numbers 4

Using a Number Line 10

Absolute Value 13

Performing Operations with Whole Numbers 14

Properties of Numbers 19

2 Decimals 27

Understanding Decimals 28

Reading and Writing Decimals 30

Comparing and Ordering Decimals 33

Rounding Decimals 34

Adding and Subtracting Decimals 35

Multiplying Decimals 42

Dividing Decimals 46

3 Fractions 53

Understanding Fractions 54

Multiples and Factors 56

Equivalent Fractions 61

Adding and Subtracting Fractions 63

Adding and Subtracting Mixed Numbers 65

Multiplying and Dividing Fractions and Mixed Numbers 67

4 Integers 77

Understanding Integers 78

Adding Integers 80

Subtracting Integers 83

Multiplying Integers 84

Dividing Integers 86

5 Ratio and Proportion 91

Understanding Ratios 92

Finding Equivalent Ratios 93

Comparing Ratios 94

Understanding Rates 96

Solving Proportions 97

6 Percent 103

Solving Percent Problems Using Models 104

Relating Fractions, Decimals, and Percents 108

Finding the Percent of a Number 110

Finding What Percent One Number Is of Another Number 112

Finding a Number When the Percent Is Known 113

Finding Percent of increase or Decrease 114

Finding Simple Interest 116

7 Equations and Inequalities 121

Defining Equation and Function 122

Reading and Writing Equations 123

Solving Equations 124

Graphing Equations 128

Monomials and Polynomials 130

Adding Polynomials 132

Multiplying Monomials 132

Multiplying a Polynomial by a Monomial 134

Solving Inequalities 135

8 Measurement and Geometry 143

Customary Units of Length 144

Customary Units of Weight 146

Customary Units of Capacity 148

Understanding Units of Time 150

Metric Units of Length 153

Metric Units of Mass 155

Metric Units of Capacity 157

Finding the Perimeter of a Polygon 159

Finding the Circumference of a Circle 162

9 Plane Geometry 171

Identifying Points, Lines, Rays, and Line Segments 172

Identifying Angles 174

Finding Angle Measures 177

Classifying Triangles 179

Finding Unknown Angle Measures in Triangles 182

Classifying Quadrilaterals 183

Finding Unknown Angle Measures in Quadrilaterals 184

Identifying Other Common Polygons 186

Finding Unknown Angle Measures in Other Polygons 187

Identifying Congruent and Similar Figures 189

Identifying Lines of Symmetry 192

10 Geometry: Area and Volume 205

Area of Plane Figures 206

Finding the Area of Quadrilaterals 207

Finding the Area of Triangles 210

Finding the Area of Circles 212

Surface Area of Solid Figures 214

Finding the Surface Area of Rectangular Prisms 215

Finding the Surface Area of Cylinders 218

Finding the Surface Area of Cones 220

Volume of Solid Figures 222

Finding the Volume of Rectangular Prisms 222

Finding the Volume of Cylinders 224

Finding the Volume of Cones 226

Finding the Volume of Spheres 227

11 Probability 237

Defining Probability 238

Simple Probabilities 238

Sample Spaces and Tree Diagrams 242

Combinations and Permutations 244

Probability of Independent Events 247

Experimental Probability 252

12 Data and Statistics 259

Defining Statistics 260

Measures of Central Tendency 260

Pictographs 263

Bar Graphs 265

Circle Graphs 268

Line Graphs 271

Stem-and-Leaf Plots 274

Identifying Misleading Statistics 276

Answer Key 285