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Teaching Your Kids New Math, K-5 For Dummies

1. Aufl.

von: Kris Jamsa
16,99 €
Verlag:	Wiley
Format:	EPUB
Veröffentl.:	11.04.2022
ISBN/EAN:	9781119867111
Sprache:	englisch
Anzahl Seiten:	384

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Titelbeschreibung

Help your child unlock their math potential with this intuitive guide to teaching new math Teaching Your Kids New Math, K-5 For Dummies makes it easy to understand the new math being taught to students in kindergarten to Grade 5, showing parents and guardians how to help their kids with the new methods and concepts that have been introduced since they finished school. You’ll discover the math-teaching basics you need to help your kids with their math homework while becoming familiar with the grids, arrays, diagrams, and arrows that math students use today. You’ll also get: <ul> <li>A step-by-step walkthrough for teaching young students essential math concepts, even if you think you’re not a “math person”</li> <li>Best practices, example problems, and tips and tricks about specific math topics that will help your youngster move forward</li> <li>Ways to avoid common and typical math pitfalls and frustrations that trap math students and teachers</li> </ul> Full of real-world examples and applications, Teaching Kids New Math, K-5, For Dummies is your essential companion to helping your child master their math assignments and have fun while you’re doing it!

Inhaltsverzeichnis

Contents at a Glance Introduction 1 Part 1: Laying Down the Basics with Kindergarten Math 5 Chapter 1: Unleashing Your Inner Math Teacher 7 Chapter 2: Knowing the Number Names 1 to 9 13 Chapter 3: Moving on up to 20 .21 Chapter 4: Comparing Numbers: Understanding More and Less .31 Chapter 5: Understanding Positions, Sorts, and Categorization of Objects .41 Chapter 6: Getting Specific about Size and Shape 49 Chapter 7: Adding and Subtracting the Numbers 1 through 10 61 Part 2: Figuring Out First Grade Math .79 Chapter 8: Adding and Subtracting through 100 without Regrouping .81 Chapter 9: Pairing Numbers with Telling Time .97 Chapter 10: Getting a Feel for Fractions .111 Chapter 11: Introducing Charts, Graphs, and Word Problems 121 Part 3: Advancing with Second Grade Math 131 Chapter 12: Starting to Do Math in Their Head .133 Chapter 13: Having Some Fun with Money and Calendars .149 Chapter 14: Revisiting Fractions 157 Chapter 15: Adding and Subtracting with Regrouping .165 Part 4: Tackling Third Grade Math 181 Chapter 16: Introducing Basic Multiplication and Division .183 Chapter 17: Multiplying and Dividing Large Numbers .199 Chapter 18: Going Deeper with Charts, Fractions, and Word Problems 217 Part 5: Focusing on Fourth Grade Math .233 Chapter 19: Mixing and Matching Operations 235 Chapter 20: Understanding Factors through 100 and Numbers through 1,000,000 239 Chapter 21: Pressing on with Even and Odd Numbers and Number Patterns .247 Chapter 22: Doing Math with Multi-digit Numbers 251 Chapter 23: Going Deeper with Fractions .273 Part 6: Advancing to Fifth Grade Math .283 Chapter 24: Interpreting Mathematical Expressions 285 Chapter 25: Revisiting Fractions, One More Time .293 Chapter 26: Knowing the Point of Decimals 303 Chapter 27: Looking at Lines, Angles, Areas, and Perimeters .317 Part 7: The Part of Tens .331 Chapter 28: Top Ten Things to Remember about Teaching Your Child Math .333 Chapter 29: Ten Next Steps in Your Child’s Education .337 Index .341 Table of Contents Introduction .1 About This Book .1 Foolish Assumptions .2 Icons Used in This Book 2 Beyond the Book 3 Where to Go from Here 3 Part 1: Laying Down the Basics With Kindergarten Math .5 Chapter 1: Unleashing Your Inner Math Teacher .7 I’m Not Sure I Remember “Old Math,” and Now There Is “New Math” .8 Old Math, New Math, Common Core Math 9 It’s Not Too Late to Get Started 9 Your Return on Investment 10 Establish Your Routine 10 Keep a Positive Attitude .11 Chapter 2: Knowing the Number Names 1 to 9 13 Preparing for a Lesson 14 Practicing Counting with Flash Cards 15 Counting different objects 16 Pointing out numbers 16 Writing the Numbers 1 through 9 .16 Counting Objects and Writing the Corresponding Number .17 Identifying Numbers on Playing Cards .18 Counting Numbers on a Number Line .18 Learning Your Phone Number 19 Chapter 3: Moving on up to 20 21 Tiptoeing into the Teens .21 Working with a number line for numbers 1 through 15 .23 Identifying matching numbers on a number line .24 Reviewing Your Phone Number 24 Going All the Way to 20 .24 Counting the Numbers 1 through 20 Using a Number Line 25 Reviewing the Numbers 1 through 20 Using Flash Cards 25 Counting the numbers from 1 through 20 forward and backward .26 Table of Contents Identifying and writing missing numbers from 1 through 20 .27 Counting objects from 1 through 20 using a worksheet .27 Learning the Relationship between Numbers 1 through 10 and 11 through 20 27 Counting by Twos through 20 28 Where To? Knowing Your Address 28 Chapter 4: Comparing Numbers: Understanding More and Less 31 Understanding More, Less, and Equal .32 Bringing out the straws! 32 Comparing numbers on a number line .33 Learning the Greater-than, Less-than, and Equal Symbols 33 Learning the less-than symbol 34 Learning the greater-than symbol .35 Learning the equal symbol 36 Practicing all three symbols .36 Comparing numbers using a deck of cards 37 Comparing numbers on a worksheet .37 Knowing and Counting the Numbers 1 through 30 38 Filling in the gaps: Identifying missing numbers from 1 through 30 .39 Comparing numbers from 1 through 30 40 Comparing numbers 1 through 30 using a worksheet 40 Revisiting Counting Straws 40 Chapter 5: Understanding Positions, Sorts, and Categorization of Objects 41 Understanding In Front, Behind, and Next To 42 Categorizing Objects 42 Working up to Fabulous 40 43 Identifying Missing Numbers from 1 through 40 45 Moving on to Fantastic 50 .45 Identifying Missing Numbers from 1 through 50 47 Comparing Numbers from 1 through 50 .47 Comparing Numbers 1 through 50 Using a Worksheet 48 Revisiting Counting Straws 48 Chapter 6: Getting Specific about Size and Shape .49 Knowing the Concepts of Bigger, Smaller, and the Same .50 Learning to Measure 50 Learning to measure with a ruler 51 Understanding and measuring inches 51 Drawing lines using the ruler 52 Using a tape measure 52 Teaching Your Kids New Math, K–5 For Dummies Weighing Different Objects 53 Edging up to 80 53 Identifying missing numbers from 1 through 80 .55 Comparing numbers from 1 through 80 55 Comparing numbers through 80 using a worksheet 56 Counting straws through 80 56 Evaluating Common Shapes .56 Knowing the Numbers 1 through 100 .58 Identifying missing numbers from 1 through 100 59 Comparing numbers from 1 through 100 .59 Comparing numbers through 100 using a worksheet .60 Chapter 7: Adding and Subtracting the Numbers 1 through 10 61 Starting with Basic Addition 62 Using straws to understand addition .62 Practicing written addition using index cards 62 Demonstrating comprehension of expressions using straws 64 Doing addition on a worksheet 64 Using a number line to add numbers 65 Adding numbers on a worksheet using a number line 66 Adding numbers using flash cards .66 Practicing addition through 10 using a worksheet 68 Take It Away! Understanding Subtraction 68 Subtracting with straws 68 Practicing written subtraction using index cards .69 Learning to subtract using a number line .70 Subtracting numbers on a worksheet using a number line 70 Subtracting numbers using flash cards .71 Practicing subtraction through 10 using a worksheet .73 Mixing It Up: Doing Addition and Subtraction .73 Understanding the Concept of Zero .74 Adding zero to a number .74 Subtracting zero from a number .75 Using flash cards to add zero to a number 75 Adding zero to a number on a worksheet .76 Subtracting zero from a number using flash cards .76 Subtracting zero from a number on a worksheet 77 Part 2: Figuring Out First Grade Math 79 Chapter 8: Adding and Subtracting through 100 without Regrouping .81 Identifying the Tens and Ones Places .82 Recognizing the tens and ones places 82 Table of Contents Recognizing tens on the number line .83 Identifying the tens and ones places using a worksheet .84 Adding and Subtracting Numbers through 100 without Regrouping .85 Adding numbers through 100 without regrouping .85 Using a number line to add large numbers 86 Using boxes to add large numbers .88 Adding numbers through 100 without regrouping and without boxes 89 Subtracting numbers through 100 without regrouping .90 Using a number line to subtract large Numbers .91 Using boxes to subtract large numbers .93 Subtracting large numbers without regrouping or boxes 94 Mixing addition and subtraction problems on the same worksheet 95 Reviewing Flash Cards for Addition and Subtraction through 10 95 Completing a Timed Worksheet 96 Chapter 9: Pairing Numbers with Telling Time 97 Understanding the Concept of Time 98 Understanding how time relates to day and night 98 Knowing an hour has 60 minutes 99 Identifying hours and minutes on a digital clock .99 Adding one minute to a time with 59 minutes 100 Counting by Fives .101 Telling Time Using an Analog Clock 102 Knowing the five-minute intervals on the clock .104 Learning the concept of seconds .105 Working on Addition and Subtraction through 20 105 Reviewing addition through 20 .105 Reviewing addition through 20 using a worksheet 106 Reviewing subtraction through 20 106 Reviewing subtraction through 20 using a worksheet 108 Counting by 2 through 100 .108 Reviewing Counting by 10 through 100 .109 Chapter 10: Getting a Feel for Fractions .111 Understanding Fractions .111 Identifying the Parts of a Fraction 115 Drawing Equivalent Fractions .116 Understanding Mixed Numbers .117 Recognizing Equivalent Fractions 118 Measuring Using Fractions 119 Comparing Fractions .119 Teaching Your Kids New Math, K–5 For Dummies Chapter 11: Introducing Charts, Graphs, and Word Problems 121 Reading Simple Charts .122 Creating Their Own Chart .125 Starting with Simple Word Problems .127 Part 3: Advancing with Second Grade Math 131 Chapter 12: Starting to Do Math in Their Head .133 Beginning to Add and Subtract Mentally 133 Mentally adding numbers through 20 .134 Adding numbers through 20 using a number line .134 Adding numbers through 20 using a deck of playing cards .135 Mentally adding numbers through 20 using a worksheet 135 Mentally subtracting numbers through 20 .136 Subtracting numbers through 20 using a number line .136 Subtracting numbers through 20 using a deck of playing cards. 137 Mentally subtracting numbers through 20 using a worksheet .138 Counting to 1,000 by One Hundreds .138 Reviewing the Tens and Ones Places .139 Knowing the Hundreds, Tens, and Ones Places 139 Identifying Missing Numbers from 1 to 1,000 140 Adding and Subtracting Large Numbers without Regrouping 140 Adding using boxes .141 Adding without boxes .142 Subtracting three-digit numbers using boxes .143 Subtracting without boxes .144 Revisiting Mental Addition and Subtraction .145 Mentally adding 10 .145 Mentally subtracting 10 .146 Mentally adding 100 to a number .146 Mentally subtracting 100 from a number 147 Comparing Large Numbers .148 Chapter 13: Having Some Fun with Money and Calendars .149 Counting Change 150 Counting pennies on a worksheet 150 Understanding the value of a nickel .150 Knowing that a dime is worth 10 cents 151 Knowing a quarter equals 25 cents .152 Counting the correct amount of change .153 Understanding Calendars 153 Knowing the days of the week 154 Table of Contents Knowing the months of the year 154 Understanding a calendar .155 Writing a date 155 Chapter 14: Revisiting Fractions 157 Reviewing Fractions 157 Mixing Things up with Mixed Numbers .158 Understanding What Equivalent Fractions Are .159 Comparing Fractions .159 Creating Equivalent Expressions .160 Creating equivalent expressions using addition .160 Creating equivalent expressions using subtraction 161 Creating Equivalent Expressions Using Addition and Subtraction .162 Chapter 15: Adding and Subtracting with Regrouping 165 Reviewing Addition without Regrouping 166 Using Boxes to Solve Addition Problems that Require Regrouping .166 Solving Addition Problems that Require Regrouping without Boxes 169 Adding Numbers Using Decomposition .171 Reviewing Subtraction without Regrouping .172 Understanding the Concept of “Borrowing” .173 Learning to Check Their Work .175 Using New Math to Add and Subtract Large Numbers 176 Using an open number line to add numbers .176 Performing subtraction using a number line .177 Checking Their Work Using a Number Line 179 Part 4: Tackling Third Grade Math 181 Chapter 16: Introducing Basic Multiplication and Division 183 Understanding the Multiplication Process 183 Using tables to multiply numbers .185 Multiplication is repeated addition 186 Multiplying by 1 187 Multiplying by 0 187 Practicing multiplication flash cards .188 Completing multiplication problems on a worksheet 189 Multiplying any number by 10 190 Understanding the Division Process 191 Solving division problems using multiplication 192 Using tables to perform division 192 Dividing by 1 .194 Knowing that you cannot divide a number by 0 .194 Teaching Your Kids New Math, K–5 For Dummies Practicing with division flash cards 194 Completing division problems on a worksheet .196 Checking Their Work .196 Chapter 17: Multiplying and Dividing Large Numbers 199 Reviewing Multiplication through 10 and Preparing for Timed Tests .199 Multiplying Two-Digit Numbers by Single-Digit Numbers (Old School) 200 Multiplying two, two-digit numbers .202 Multiplying numbers through 100 204 Multiplying Numbers Using the Box Method (New Math) 205 Revisiting Division through 100 and Preparing for Timed Tests 209 Recognizing the Second Format for Division .210 Dividing with a Remainder 210 Dividing Larger Numbers .211 Dividing Large Numbers with a Remainder 214 Reviewing How to Check Work 216 Chapter 18: Going Deeper with Charts, Fractions, and Word Problems 217 Rounding Numbers 217 Rounding numbers through 10 .218 Rounding numbers through 100 219 Reviewing Charts 220 Charting data 221 Using point data .222 Reading data on pie charts 224 Adding Like Fractions 226 Subtracting Like Fractions 227 Reducing Fractions 228 Revisiting Word Problems 230 Part 5: Focusing on Fourth Grade Math 233 Chapter 19: Mixing and Matching Operations 235 Working with Complex Expressions 235 Performing Multiplication and Division before Addition and Subtraction .237 Performing Operations within Parentheses First .238 Chapter 20: Understanding Factors through 100 and Numbers through 1,000,000 239 Factoring a Number .240 Understanding and Recognizing Prime Numbers 241 Table of Contents Creating a Factor Tree 242 Recognizing Place Values through 1,000,000 243 Placing a Comma in Big Numbers 246 Chapter 21: Pressing on with Even and Odd Numbers and Number Patterns .247 Knowing Even and Odd Numbers 247 Recognizing Number Patterns .248 Chapter 22: Doing Math with Multi-digit Numbers 251 Reviewing Addition with Regrouping .252 Adding Three Rows of Multi-digit Numbers .252 Adding Numbers through 1,000 (Old School) 254 Adding Multi-digit Numbers through 10,000 255 Adding Multi-digit Numbers Using a Number Line (New School) .256 Adding Numbers Using Rounding 258 Subtracting Multi-digit Numbers .260 Subtracting multi-digit numbers using borrowing (old school) ..260 Subtracting multi-digit numbers using a number line (new school) .263 Solving subtraction problems using rounding 264 Multiplying Multi-digit Numbers (Old School) 266 Multiplying Multi-digit Numbers Using the Box Method (New School) 269 Dividing Multi-digit Numbers 271 Chapter 23: Going Deeper with Fractions .273 Reviewing Adding Fractions .274 Reviewing Subtracting Fractions .274 Revisiting Fractions and Mixed Numbers .275 Reducing Improper Fractions .277 Reducing Fractions 278 Solving Word Problems That Use Fractions 281 Part 6: Advancing to Fifth Grade Math .283 Chapter 24: Interpreting Mathematical Expressions 285 Solving Problems Using Multiple Operations 286 Solving Problems with Multi-digit Numbers .286 Solving Problems Grouped by Parentheses .287 Completing Equivalent Expressions 288 Revisiting Expressions with Parentheses 289 Comparing Expressions Using >, <, and = .290 Teaching Your Kids New Math, K–5 For Dummies Chapter 25: Revisiting Fractions, One More Time 293 Comparing Fractions .293 Adding Unlike Fractions 295 Subtracting Unlike Fractions 296 Multiplying Fractions .297 Dividing Fractions .297 Working with Mixed Numbers .298 Multiplying mixed numbers 300 Dividing mixed numbers 300 Chapter 26: Knowing the Point of Decimals 303 Revisiting Money 304 Knowing the Tenths and Hundredths Places 305 Recognizing the tenths place .305 Recognizing the hundredths place 307 Adding Numbers with Decimal Points 310 Subtracting Numbers with Decimal Points 311 Multiplying Numbers with Decimal Points 312 Recognizing Equivalent Decimals 313 Dividing Numbers with Decimal Points .314 Chapter 27: Looking at Lines, Angles, Areas, and Perimeters .317 Recognizing Parallel and Perpendicular Lines 318 Recognizing Common Angles .319 Calculating the Perimeter of a Rectangle 321 Understanding the Special Rectangle: The Square 322 Calculating the Perimeter of a Triangle .324 Knowing the Parts of a Circle 324 Calculating the Circumference of a Circle .326 Calculating the Area of a Shape .327 Calculating the area of a rectangle or square .327 Calculating the area of a triangle .328 Calculating the area of a circle 330 Part 7: the Part of Tens 331 Chapter 28: Top Ten Things to Remember about Teaching Your Child Math .333 Establish Your Child’s Baseline 333 Set Aside 15 Minutes a Day, Every Day .334 Keep the Focus on Your Child .334 Be Patient 334 Use Additional Resources .335 Take Time to Master Each Grade Level .335 Table of Contents Point Out Math in the Real World 335 Praise the Things Your Child Does Well .335 Talk with Your Child’s Teacher .336 Keep It Fun .336 Chapter 29: Ten Next Steps in Your Child’s Education 337 Read with Your Child .337 Be Involved .338 Keep Video Games to a Reasonable Amount 338 Help Your Child Learn Computer Skills .338 Implement a Word of the Day .339 Ensure Adequate Sleep Time 339 Encourage Learning a Musical Instrument 339 Learn a Second Language Together 339 Listen and Talk to Your Child 340 Involve Your Child .340 Index .341 Teaching Your Kids New Math, K–5 For Dummies ntroduction 1 About This Book 1 Foolish Assumptions 2 Icons Used in This Book 2 Beyond the Book 3 Where to Go from Here 3 Part 1: Laying Down the Basics with Kindergarten Math 5 Chapter 1: Unleashing Your Inner Math Teacher 7 I’m Not Sure I Remember “Old Math,” and Now There Is “New Math” 8 Old Math, New Math, Common Core Math 9 It’s Not Too Late to Get Started 9 Your Return on Investment 10 Establish Your Routine 10 Keep a Positive Attitude 11 Chapter 2: Knowing the Number Names 1 to 9 13 Preparing for a Lesson 14 Practicing Counting with Flash Cards 15 Counting different objects 16 Pointing out numbers 16 Writing the Numbers 1 through 9 16 Counting Objects and Writing the Corresponding Number 17 Identifying Numbers on Playing Cards 18 Counting Numbers on a Number Line 18 Learning Your Phone Number 19 Chapter 3: Moving on up to 20 21 Tiptoeing into the Teens 21 Working with a number line for numbers 1 through 15 23 Identifying matching numbers on a number line 24 Reviewing Your Phone Number 24 Going All the Way to 20 24 Counting the Numbers 1 through 20 Using a Number Line 25 Reviewing the Numbers 1 through 20 Using Flash Cards 25 Counting the numbers from 1 through 20 forward and backward 26 Identifying and writing missing numbers from 1 through 20 27 Counting objects from 1 through 20 using a worksheet 27 Learning the Relationship between Numbers 1 through 10 and 11 through 20 27 Counting by Twos through 20 28 Where To? Knowing Your Address 28 Chapter 4: Comparing Numbers: Understanding More and Less 31 Understanding More, Less, and Equal 32 Bringing out the straws! 32 Comparing numbers on a number line 33 Learning the Greater-than, Less-than, and Equal Symbols 33 Learning the less-than symbol 34 Learning the greater-than symbol 35 Learning the equal symbol 36 Practicing all three symbols 36 Comparing numbers using a deck of cards 37 Comparing numbers on a worksheet 37 Knowing and Counting the Numbers 1 through 30 38 Filling in the gaps: Identifying missing numbers from 1 through 30 39 Comparing numbers from 1 through 30 40 Comparing numbers 1 through 30 using a worksheet 40 Revisiting Counting Straws 40 Chapter 5: Understanding Positions, Sorts, and Categorization of Objects 41 Understanding In Front, Behind, and Next To 42 Categorizing Objects 42 Working up to Fabulous 40 43 Identifying Missing Numbers from 1 through 40 45 Moving on to Fantastic 50 45 Identifying Missing Numbers from 1 through 50 47 Comparing Numbers from 1 through 50 47 Comparing Numbers 1 through 50 Using a Worksheet 48 Revisiting Counting Straws 48 Chapter 6: Getting Specific about Size and Shape 49 Knowing the Concepts of Bigger, Smaller, and the Same 50 Learning to Measure 50 Learning to measure with a ruler 51 Understanding and measuring inches 51 Drawing lines using the ruler 52 Using a tape measure 52 Weighing Different Objects 53 Edging up to 80 53 Identifying missing numbers from 1 through 80 55 Comparing numbers from 1 through 80 55 Comparing numbers through 80 using a worksheet 56 Counting straws through 80 56 Evaluating Common Shapes 56 Knowing the Numbers 1 through 100 58 Identifying missing numbers from 1 through 100 59 Comparing numbers from 1 through 100 59 Comparing numbers through 100 using a worksheet 60 Chapter 7: Adding and Subtracting the Numbers 1 through 10 61 Starting with Basic Addition 62 Using straws to understand addition 62 Practicing written addition using index cards 62 Demonstrating comprehension of expressions using straws 64 Doing addition on a worksheet 64 Using a number line to add numbers 65 Adding numbers on a worksheet using a number line 66 Adding numbers using flash cards 66 Practicing addition through 10 using a worksheet 68 Take It Away! Understanding Subtraction 68 Subtracting with straws 68 Practicing written subtraction using index cards 69 Learning to subtract using a number line 70 Subtracting numbers on a worksheet using a number line 70 Subtracting numbers using flash cards 71 Practicing subtraction through 10 using a worksheet 73 Mixing It Up: Doing Addition and Subtraction 73 Understanding the Concept of Zero 74 Adding zero to a number 74 Subtracting zero from a number 75 Using flash cards to add zero to a number 75 Adding zero to a number on a worksheet 76 Subtracting zero from a number using flash cards 76 Subtracting zero from a number on a worksheet 77 Part 2: Figuring Out First Grade Math 79 Chapter 8: Adding and Subtracting through 100 without Regrouping 81 Identifying the Tens and Ones Places 82 Recognizing the tens and ones places 82 Recognizing tens on the number line 83 Identifying the tens and ones places using a worksheet 84 Adding and Subtracting Numbers through 100 without Regrouping 85 Adding numbers through 100 without regrouping 85 Using a number line to add large numbers 86 Using boxes to add large numbers 88 Adding numbers through 100 without regrouping and without boxes 89 Subtracting numbers through 100 without regrouping 90 Using a number line to subtract large Numbers 91 Using boxes to subtract large numbers 93 Subtracting large numbers without regrouping or boxes 94 Mixing addition and subtraction problems on the same worksheet 95 Reviewing Flash Cards for Addition and Subtraction through 10 95 Completing a Timed Worksheet 96 Chapter 9: Pairing Numbers with Telling Time 97 Understanding the Concept of Time 98 Understanding how time relates to day and night 98 Knowing an hour has 60 minutes 99 Identifying hours and minutes on a digital clock 99 Adding one minute to a time with 59 minutes 100 Counting by Fives 101 Telling Time Using an Analog Clock 102 Knowing the five-minute intervals on the clock 104 Learning the concept of seconds 105 Working on Addition and Subtraction through 20 105 Reviewing addition through 20 105 Reviewing addition through 20 using a worksheet 106 Reviewing subtraction through 20 106 Reviewing subtraction through 20 using a worksheet 108 Counting by 2 through 100 108 Reviewing Counting by 10 through 100 109 Chapter 10: Getting a Feel for Fractions 111 Understanding Fractions 111 Identifying the Parts of a Fraction 115 Drawing Equivalent Fractions 116 Understanding Mixed Numbers 117 Recognizing Equivalent Fractions 118 Measuring Using Fractions 119 Comparing Fractions 119 Chapter 11: Introducing Charts, Graphs, and Word Problems 121 Reading Simple Charts 122 Creating Their Own Chart 125 Starting with Simple Word Problems 127 Part 3: Advancing with Second Grade Math 131 Chapter 12: Starting to Do Math in Their Head 133 Beginning to Add and Subtract Mentally 133 Mentally adding numbers through 20 134 Adding numbers through 20 using a number line 134 Adding numbers through 20 using a deck of playing cards 135 Mentally adding numbers through 20 using a worksheet 135 Mentally subtracting numbers through 20 136 Subtracting numbers through 20 using a number line 136 Subtracting numbers through 20 using a deck of playing cards 137 Mentally subtracting numbers through 20 using a worksheet 138 Counting to 1,000 by One Hundreds 138 Reviewing the Tens and Ones Places 139 Knowing the Hundreds, Tens, and Ones Places 139 Identifying Missing Numbers from 1 to 1,000 140 Adding and Subtracting Large Numbers without Regrouping 140 Adding using boxes 141 Adding without boxes 142 Subtracting three-digit numbers using boxes 143 Subtracting without boxes 144 Revisiting Mental Addition and Subtraction 145 Mentally adding 10 145 Mentally subtracting 10 146 Mentally adding 100 to a number 146 Mentally subtracting 100 from a number 147 Comparing Large Numbers 148 Chapter 13: Having Some Fun with Money and Calendars 149 Counting Change 150 Counting pennies on a worksheet 150 Understanding the value of a nickel 150 Knowing that a dime is worth 10 cents 151 Knowing a quarter equals 25 cents 152 Counting the correct amount of change 153 Understanding Calendars 153 Knowing the days of the week 154 Knowing the months of the year 154 Understanding a calendar 155 Writing a date 155 Chapter 14: Revisiting Fractions 157 Reviewing Fractions 157 Mixing Things up with Mixed Numbers 158 Understanding What Equivalent Fractions Are 159 Comparing Fractions 159 Creating Equivalent Expressions 160 Creating equivalent expressions using addition 160 Creating equivalent expressions using subtraction 161 Creating Equivalent Expressions Using Addition and Subtraction 162 Chapter 15: Adding and Subtracting with Regrouping 165 Reviewing Addition without Regrouping 166 Using Boxes to Solve Addition Problems that Require Regrouping 166 Solving Addition Problems that Require Regrouping without Boxes 169 Adding Numbers Using Decomposition 171 Reviewing Subtraction without Regrouping 172 Understanding the Concept of “Borrowing” 173 Learning to Check Their Work 175 Using New Math to Add and Subtract Large Numbers 176 Using an open number line to add numbers 176 Performing subtraction using a number line 177 Checking Their Work Using a Number Line 179 Part 4: Tackling Third Grade Math 181 Chapter 16: Introducing Basic Multiplication and Division 183 Understanding the Multiplication Process 183 Using tables to multiply numbers 185 Multiplication is repeated addition 186 Multiplying by 1 187 Multiplying by 0 187 Practicing multiplication flash cards 188 Completing multiplication problems on a worksheet 189 Multiplying any number by 10 190 Understanding the Division Process 191 Solving division problems using multiplication 192 Using tables to perform division 192 Dividing by 1 194 Knowing that you cannot divide a number by 0 194 Practicing with division flash cards 194 Completing division problems on a worksheet 196 Checking Their Work 196 Chapter 17: Multiplying and Dividing Large Numbers 199 Reviewing Multiplication through 10 and Preparing for Timed Tests 199 Multiplying Two-Digit Numbers by Single-Digit Numbers (Old School) 200 Multiplying two, two-digit numbers 202 Multiplying numbers through 100 204 Multiplying Numbers Using the Box Method (New Math) 205 Revisiting Division through 100 and Preparing for Timed Tests 209 Recognizing the Second Format for Division 210 Dividing with a Remainder 210 Dividing Larger Numbers 211 Dividing Large Numbers with a Remainder 214 Reviewing How to Check Work 216 Chapter 18: Going Deeper with Charts, Fractions, and Word Problems 217 Rounding Numbers 217 Rounding numbers through 10 218 Rounding numbers through 100 219 Reviewing Charts 220 Charting data 221 Using point data 222 Reading data on pie charts 224 Adding Like Fractions 226 Subtracting Like Fractions 227 Reducing Fractions 228 Revisiting Word Problems 230 Part 5: Focusing on Fourth Grade Math 233 Chapter 19: Mixing and Matching Operations 235 Working with Complex Expressions 235 Performing Multiplication and Division before Addition and Subtraction 237 Performing Operations within Parentheses First 238 Chapter 20: Understanding Factors through 100 and Numbers through 1,000,000 239 Factoring a Number 240 Understanding and Recognizing Prime Numbers 241 Creating a Factor Tree 242 Recognizing Place Values through 1,000,000 243 Placing a Comma in Big Numbers 246 Chapter 21: Pressing on with Even and Odd Numbers and Number Patterns 247 Knowing Even and Odd Numbers 247 Recognizing Number Patterns 248 Chapter 22: Doing Math with Multi-digit Numbers 251 Reviewing Addition with Regrouping 252 Adding Three Rows of Multi-digit Numbers 252 Adding Numbers through 1,000 (Old School) 254 Adding Multi-digit Numbers through 10,000 255 Adding Multi-digit Numbers Using a Number Line (New School) 256 Adding Numbers Using Rounding 258 Subtracting Multi-digit Numbers 260 Subtracting multi-digit numbers using borrowing (old school) 260 Subtracting multi-digit numbers using a number line (new school) 263 Solving subtraction problems using rounding 264 Multiplying Multi-digit Numbers (Old School) 266 Multiplying Multi-digit Numbers Using the Box Method (New School) 269 Dividing Multi-digit Numbers 271 Chapter 23: Going Deeper with Fractions 273 Reviewing Adding Fractions 274 Reviewing Subtracting Fractions 274 Revisiting Fractions and Mixed Numbers 275 Reducing Improper Fractions 277 Reducing Fractions 278 Solving Word Problems That Use Fractions 281 Part 6: Advancing to Fifth Grade Math 283 Chapter 24: Interpreting Mathematical Expressions 285 Solving Problems Using Multiple Operations 286 Solving Problems with Multi-digit Numbers 286 Solving Problems Grouped by Parentheses 287 Completing Equivalent Expressions 288 Revisiting Expressions with Parentheses 289 Comparing Expressions Using >, <, and = 290 Chapter 25: Revisiting Fractions, One More Time 293 Comparing Fractions 293 Adding Unlike Fractions 295 Subtracting Unlike Fractions 296 Multiplying Fractions 297 Dividing Fractions 297 Working with Mixed Numbers 298 Multiplying mixed numbers 300 Dividing mixed numbers 300 Chapter 26: Knowing the Point of Decimals 303 Revisiting Money 304 Knowing the Tenths and Hundredths Places 305 Recognizing the tenths place 305 Recognizing the hundredths place 307 Adding Numbers with Decimal Points 310 Subtracting Numbers with Decimal Points 311 Multiplying Numbers with Decimal Points 312 Recognizing Equivalent Decimals 313 Dividing Numbers with Decimal Points 314 Chapter 27: Looking at Lines, Angles, Areas, and Perimeters 317 Recognizing Parallel and Perpendicular Lines 318 Recognizing Common Angles 319 Calculating the Perimeter of a Rectangle 321 Understanding the Special Rectangle: The Square 322 Calculating the Perimeter of a Triangle 324 Knowing the Parts of a Circle 324 Calculating the Circumference of a Circle 326 Calculating the Area of a Shape 327 Calculating the area of a rectangle or square 327 Calculating the area of a triangle 328 Calculating the area of a circle 330 Part 7: The Part of Tens 331 Chapter 28: Top Ten Things to Remember about Teaching Your Child Math 333 Establish Your Child’s Baseline 333 Set Aside 15 Minutes a Day, Every Day 334 Keep the Focus on Your Child 334 Be Patient 334 Use Additional Resources 335 Take Time to Master Each Grade Level 335 Point Out Math in the Real World 335 Praise the Things Your Child Does Well 335 Talk with Your Child’s Teacher 336 Keep It Fun 336 Chapter 29: Ten Next Steps in Your Child’s Education 337 Read with Your Child 337 Be Involved 338 Keep Video Games to a Reasonable Amount 338 Help Your Child Learn Computer Skills 338 Implement a Word of the Day 339 Ensure Adequate Sleep Time 339 Encourage Learning a Musical Instrument 339 Learn a Second Language Together 339 Listen and Talk to Your Child 340 Involve Your Child 340 Index 341

Autorenportrait

Dr. Kris Jamsa is the author of 115 books on computing and education. He holds eight college degrees, which include a PhD in Computer Science, a PhD in Education, and a Masters in Education with a focus on multiple intelligences. Jamsa was the founder of the Head of the Class series, an e-learning portal for kindergarten through fifth grade.

Back cover copy

Multiply, divide, and conquer elementary math Math ain’t what it used to be. Sure, two plus two is still four, but the way we’re teaching kids to do basic math has totally changed. The new math (also called Common Core math) takes a little getting used to, but Teaching Your Kids New Math, K–5, For Dummies is here to help educators and parents figure it all out. We take you grade by grade to give you tips for instruction and explain how kids these days are solving problems. These best practices, example problems, and next steps will help you help kids succeed. Inside… <ul><li>Tips for homework help</li> <li>New problem-solving methods</li> <li>Formulas you didn’t learn</li> <li>Real-world example problems</li> <li>All K-5 curriculum points</li> <li>Ideas for study and test prep</li> <li>Useful teaching techniques</li> <li>Fun ways of explaining math</li></ul>