McGraw Hill Math Grade 6, Third Edition

by McGraw Hill

Overview

An engaging math workbook to help your 6th grade student master the skills necessary to perform better in class and on standardized tests

Colorful, dynamic, and filled with engaging activities, McGraw Hill Math Grade 6, Third Edition provides maximum educational value, giving your sixth grader a student-friendly learning experience to learn and practice the skills they need to do well in school and on standardized tests.

Based on the curriculum standards followed by states across the U.S., McGraw Hill Math Grade 6 covers key topics with easy-to-follow instructions, helpful examples, and more than 1,000 practice problems with answers. End-of-chapter tests allow your child to see where mastery has been gained and what they need to focus on. As they master each concept, your child will sharpen their problem-solving skills and build the confidence they need to succeed in sixth grade math.

Features include:

• New: Multi-step problems and word problems.
• A state-by-state guide shows you how to focus your child’s lessons
• The guide shows which states have adopted Common Core State Standards, how each state has implemented the standards for math, and outlines the standards for non-Common Core states
• 1,000+ math problems with explanations for answers
• A 10-Week Summer Study Plan shows you how to create the best study schedule for your child
• A pretest helps your child determine which skills require more attention
• End-of-chapter tests helps your child assess if they’ve mastered the chapter’s concepts
• Posttest at the end of the book shows your child how well they understand key concepts
• A glossary explains key terms that students will encounter in the book

Topics covered:

• Place values and estimating
• Number properties and order of operations
• Negative numbers and absolute value
• Factors and multiples
• Solving problems with rational numbers
• Ratios and proportions
• Percent
• Exponents and scientific notation
• Solving equations and inequalities
• Customary and metric units of measure, including conversions
• Solving problems by graphing points on the coordinate plane
• Classifying polygons based on their properties
• Calculating perimeter, area, surface area, and volume
• Data presentation
• Statistical variability, including probability

Product Details

ISBN-13:	9781264285679
Publisher:	McGraw Hill LLC
Publication date:	08/16/2022
Edition description:	3rd ed.
Pages:	208
Sales rank:	555,245
Product dimensions:	8.48(w) x 10.79(h) x 0.43(d)
Age Range:	11 Years

About the Author

McGraw Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide.

Table of Contents

Letter to Parents and Students 1

Sixth Grade National and State Standards 2

Pretest 4

Answers and Explanations for Pretest 8

Unit 1 Number System-Rational Numbers

Chapter 1 Basic Operations

Lesson 1.1 Place Value 10

Lesson 1.2 Rounding 12

Lesson 1.3 Adding and Subtracting Whole Numbers 13

Lesson 1.4 Multiplying Whole Numbers 15

Lesson 1.5 Dividing Whole Numbers 18

Chapter 2 Number Properties

Lesson 2.1 Commutative and Associative Properties 21

Lesson 2.2 Distributive Property and Identity 23

Lesson 2.3 Zero Property, Equality Properties 24

Lesson 2.4 Factors and Multiples 25

Chapter 3 Negative Numbers

Lesson 3.1 Understanding Negative Numbers 27

Lesson 3.2 Adding with Negative Numbers 28

Lesson 3.3 Absolute Value 29

Chapter 4 Fractions

Lesson 4.1 Improper Fractions and Mixed Numbers 30

Lesson 4.2 Adding and Subtracting Fractions with Like Denominators 31

Lesson 4.3 Adding and Subtracting Fractions with Unlike Denominators 32

Lesson 4.4 Adding and Subtracting Mixed Numbers with Unlike Denominators 33

Lesson 4.5 Estimating Sums and Differences of Fractions and Mixed Numbers 35

Lesson 4.6 Multiplying Fractions and Whole Numbers 36

Lesson 4.7 Multiplying Fractions and Fractions 37

Lesson 4.8 Multiplying Fractions and Mixed Numbers 38

Lesson 4.9 Dividing Fractions by Whole Numbers and Whole Numbers by Fractions 40

Lesson 4.10 Dividing Fractions by Fractions 41

Lesson 4.11 Dividing Mixed Numbers 42

Chapter 5 Decimals

Lesson 5.1 Understanding Decimals 43

Lesson 5.2 Changing Between Fractions and Decimals 45

Lesson 5.3 Adding Decimals 47

Lesson 5.4 Subtracting Decimals 48

Lesson 5.5 Adding and Subtracting Money 49

Lesson 5.6 Estimating Decimal Sums and Differences 50

Lesson 5.7 Multiplying Decimals 51

Lesson 5.8 Multiplying Money 53

Lesson 5.9 Estimating Decimal Products 54

Lesson 5.10 Dividing Decimals by Whole Numbers 55

Lesson 5.11 Dividing Whole Numbers by Decimals 56

Lesson 5.12 Dividing Decimals by Decimals 57

Lesson 5.13 Dividing Money 58

Lesson 5.14 Estimating Decimal Quotients 59

Chapter 6 Percents

Lesson 6.1 Understanding Percent 60

Lesson 6.2 Percents and Fractions 61

Lesson 6.3 Percents and Decimals 62

Lesson 6.4 Multiplying Percents and Fractions 63

Chapter 7 Exponents

Lesson 7.1 Understanding Exponents 64

Lesson 7.2 Scientific Notation 65

Lesson 7.3 Order of Operations 66

Chapter 8 The Coordinate Plane

Lesson 8.1 Plotting Ordered Pairs 67

Lesson 8.2 Distance 69

Unit 1 Test 70

Unit 2 Expressions and Equations

Chapter 9 Variable Expressions

Lesson 9.1 Understanding Variable Expressions 76

Lesson 9.2 Writing Expressions and Equations 77

Lesson 9.3 Equivalent Expressions 78

Lesson 9.4 Solving Equations by Addition and Subtraction 79

Lesson 9.5 Solving Equations by Multiplication and Division 80

Lesson 9.6 Evaluating Expressions 81

Chapter 10 Inequalities

Lesson 10.1 Understanding inequalities 82

Lesson 10.2 Solving Inequalities 83

Unit 2 Test 84

Unit 3 Ratios and Proportional Relationships

Chapter 11 Ratios

Lesson 11.1 Understanding Ratios 86

Lesson 11.2 Part-to-Part and Part-to-Whole Relationships 88

Lesson 11.3 Double Number Lines 90

Chapter 12 Proportions

Lesson 12.1 Proportions: Equivalent Ratios 91

Lesson 12.2 Problem-Solving with Proportions 92

Lesson 12.3 Using Ratio Tables 93

Lesson 12.4 Graphing Ratio Tables 94

Chapter 13 Rate

Lesson 13.1 Understanding Rate 96

Lesson 13.2 Unit Rate 97

Lesson 13.3 Graphs of Rates 98

Unit 3 Test 100

Unit 4 Geometry

Chapter 14 Measurements

Lesson 14.1 Length Measurements 103

Lesson 14.2 Liquid Volume Measurements 105

Lesson 14.3 Weight and Mass Measurements 106

Lesson 14.4 Changing from Customary Units to Metric Units 107

Lesson 14.5 Changing from Metric Units to Customary Units 108

Lesson 14.8 Time Measurements 109

Lesson 14.7 Temperature Measurements 110

Chapter 15 Bask Geometric Measurements

Lesson 15.1 Perimeter 111

Lesson 15.2 Area 112

Lesson 15.3 Volume of a Solid 115

Chapter 16 Lines and Angles

Lesson 16.1 Points and Lines 117

Lesson 16.2 Line Segments and Rays 118

Lesson 16.3 Measuring Angles 119

Lesson 16.4 Types of Angles 120

Chapter 17 Geometric Figures

Lesson 17.1 Triangles 122

Lesson 17.2 Quadrilaterals 123

Lesson 17.3 Polygons 124

Lesson 17.4 Circles 125

Lesson 17.5 Solid Figures 127

Lesson 17.6 Surface Area 129

Lesson 17.7 Graphing Figures 130

Unit 4 Test 132

Unit 5 Statistics

Chapter 18 Data Presentation

Lesson 18.1 Bar Graphs 139

Lesson 18.2 Line Graphs 141

Lesson 18.3 Double-Line Graphs 143

Lesson 18.4 Circle Graphs 145

Chapter 19 Variability of Data

Lesson 19.1 Mean 147

Lesson 19.2 Median and Mode 148

Lesson 19.3 Range 149

Lesson 19.4 Mean Absolute Deviation 150

Lesson 19.5 Stem-and-Leaf Plots 151

Lesson 19.6 Box-and-Whisker Plots 152

Lesson 19.7 Histograms 154

Chapter 20 Probability

Lesson 20.1 Tree Diagrams 156

Lesson 20.2 Venn Diagrams 158

Lesson 20.3 Calculating Probabilities 159

Unit 5 Test 160

Posttest 164

Answers and Explanations for Posttest 168

Glossary 170

Answers and Explanations 172