Math Grade 3 Flip Chart

Copyright © NewPath Learning. All rights reserved. www.newpathlearning.com Charts Charts Grade Grade Curriculum Mastery Flip Charts Combine Essential Math Skills with Hands-On Review! ® 33-3001 333 \|xiBAHBDy01216qzZ Sturdy, Free-Standing Design, Perfect for Learning Centers! Reverse Side Features Questions, Math Problems, Vocabulary Review & more!

Phone: 800-507-0966 • Fax: 800-507-0967 www.newpathlearning.com NewPath Learning® products are developed by teachers using research-based principles and are classroom tested. The company’s product line consists of an array of proprietary curriculum review games, workbooks, posters and other print materials. All products are supplemented with web-based activities, assessments and content to provide an engaging means of educating students on key, curriculum-based topics correlated to applicable state and national education standards. Copyright © 2009 NewPath Learning. All Rights Reserved. Printed in the United States of America. Curriculum Mastery® and NewPath Learning® are registered trademarks of NewPath Learning LLC. Math Curriculum Mastery® Flip Charts provide comprehensive coverage of key standards-based curriculum in an illustrated format that is visually appealing, engaging and easy to use. Curriculum Mastery® Flip Charts can be used with the entire classroom, with small groups or by students working independently. Each Math Curriculum Mastery® Flip Chart Set features • 10 double-sided laminated charts covering grade-level specific curriculum content on one side plus write-on/wipe-off charts on reverse side for student use or for small-group instruction. • Built-in sturdy free-standing easel for easy display • Spiral bound for ease of use • Activity Guide with black-line masters of the charts for students to fill-in, key vocabulary terms, corresponding quiz questions for each chart, along with answers Ideal for • Learning centers • In class instruction for interactive presentations and demonstrations • Hands-on student use • Stand alone reference for review of key science concepts • Teaching resource to supplement any program HOW TO USE Classroom Use Each Curriculum Mastery® Flip Chart can be used to graphically introduce or review a topic of interest. Side 1 of each Flip Chart provides graphical representation of key concepts in a concise, grade appropriate reading level for instructing students. The reverse Side 2 of each Flip Chart allows teachers or students to fill in the answers and summarize key concepts. Note: Be sure to use an appropriate dry-erase marker and to test it on a small section of the chart prior to using it. The Activity Guide included provides a black-line master of each Flip Chart which students can use to fill in before, during, or after instruction. On the reverse side of each black-line master are questions corresponding to each Flip Chart topic which can be used as further review or as a means of assessment. While the activities in the guide can be used in conjunction with the Flip Charts, they can also be used individually for review or as a form of assessment or in conjunction with any other related assignment. Learning Centers Each Flip Chart provides students with a quick illustrated view of grade-appropriate curriculum concepts. Students may use these Flip Charts in small group settings along with the corresponding activity pages contained in the guide to learn or review concepts already covered in class. Students may also use these charts as reference while playing the NewPath’s Curriculum Mastery® Games. Independent student use Students can use the hands-on Flip Charts to practice and learn independently by first studying Side 1 of the chart and then using Side 2 of the chart or the corresponding graphical activities contained in the guide to fill in the answers and assess their understanding. Reference/Teaching resource Curriculum Mastery® Charts are a great visual supplement to any curriculum or they can be used in conjunction with NewPath’s Curriculum Mastery® Games. Chart # 1: Chart # 2: Chart # 3: Chart # 4: Chart # 5: Chart # 6: Chart # 7: Chart # 8: Chart # 9: Chart #10: Adding & Subtracting Three-digit Numbers Multiplication Concepts & Strategies Multiplication Table Division Concepts & Strategies All About Money Adding & Subtracting Number Sense All About Fractions All About Decimals Geometry & Measurement Problem Solving Strategies

Adding Three-digit Numbers Subtracting Three-digit Numbers Add the ones: Regroup: What is the total number of marbles? How many more marbles does Sue have than Mike? A B Ungroup: B 7 ones + 8 ones = 15 ones Subtract the ones: A 1 ten = 10 ones Ungroup: B Subtract the tens: A 1 hundred = 10 tens Subtract the hundreds: A 16 ones – 8 ones = 12 tens – 4 tens = Add the tens: A 1 ten + 4 tens + 7 tens = 12 tens Add the hundreds: A 1 hundred + 1 hundred + 2 hundreds = 4 hundreds 15 ones = Regroup: B 12 tens = Step 1 Step 2 Step 3 Step 1 Step 2 Step 3 1 4 1 7 2 + 5 ones tens hundr eds 1 1 1 2 + 7 8 5 2 ones tens hundr eds 1 4 7 + 7 8 5 ones tens hundr eds 2 4 425 total number of marbles 1 2 16 3 4 4 2 8 ones tens hundr eds x xx x xx xx xx 3 16 4 2 6 8 8 ones tens hundr eds 12 2 16 3 4 6 8 8 8 1 ones tens hundr eds 12 278 Sue’s marbles 147 Mike’s marbles 7 8 4 7 1 2 6 8 2 3 4 8 xx hundreds – hundreds = 3 2 16 ones – 8 ones = 8 ones 12 tens – 4 tens = 8 tens hundreds – hundreds = hundred 3 2 1 3 4 2 © Copyright NewPath Learning. All Rights Reserved. 93-4301 www.newpathlearning.com Adding & Subtracting Three-digit Numbers 248 436 Mike’s marbles Sue’s marbles

Adding Three-digit Numbers Subtracting Three-digit Numbers Add the ones: Regroup: What is the total number of marbles? How many more marbles does Sue have than Mike? A B Ungroup: B 7 ones + 8 ones = 15 ones Subtract the ones: A 1 ten = 10 ones Ungroup: B Subtract the tens: A 1 hundred = 10 tens Subtract the hundreds: A 16 ones – 8 ones = 8 ones 12 tens – 4 tens = 8 tens Add the tens: A 1 ten + 4 tens + 7 tens = 12 tens Add the hundreds: A 1 hundred + 1 hundred + 2 hundreds = 4 hundreds 15 ones = 1 ten and 5 ones Regroup: B 12 tens = 1 hundred and 2 tens Step 1 Step 2 Step 3 Step 1 Step 2 Step 3 4 1 7 2 + ones tens hundr eds 1 2 + 7 8 5 2 ones tens hundr eds 4 7 + 7 8 ones tens hundr eds 425 total number of marbles 2 16 3 4 4 2 8 ones tens hundr eds x xx x xx xx xx 3 16 4 2 6 8 8 ones tens hundr eds 2 16 3 4 6 8 ones tens hundr eds 278 Sue’s marbles 147 Mike’s marbles 7 8 4 7 1 2 6 8 2 3 4 8 xx hundreds – hundreds = hundred 3 2 1 3 4 2 Key Vocabulary Terms • add • ones • total • digit • regroup • ungroup • hundreds • subtract • more • tens © Copyright NewPath Learning. All Rights Reserved. 93-4301 www.newpathlearning.com Adding & Subtracting Three-digit Numbers 248 Mike’s marbles 436 Sue’s marbles \|xiBAHBDy01633lz[

Number Line 4 x 5 Using a Pattern to Multiply Array Diagram 4 x 5 = 20 number of groups number in all number in each group • • Count by 5’s four times • • Numbers that are multiplied are called factors. 4 groups of 5 The answer is the product. } 0 5 10 15 20 25 1 2 3 4 0 1 2 3 4 5 6 7 8 9 1 x 0 1 x 1 1 x 2 1 x 3 1 x 4 1 x 5 1 x 6 1 x 7 1 x 8 1 x 9 0 2 4 6 8 10 12 14 16 18 2 x 0 2 x 1 2 x 2 2 x 3 2 x 4 2 x 5 2 x 6 2 x 7 2 x 8 2 x 9 0 3 6 9 12 15 18 21 24 27 3 x 0 3 x 1 3 x 2 3 x 3 3 x 4 3 x 5 3 x 6 3 x 7 3 x 8 3 x 9 0 4 8 12 16 20 24 28 32 36 4 x 0 4 x 1 4 x 2 4 x 3 4 x 4 4 x 5 4 x 6 4 x 7 4 x 8 4 x 9 Area Model Addition Sentence Equal Shares Multiplication is repeated addition • 4 5 4 x 5 = 20 20 factor factor Product Multiply 4 x 5 4 x © Copyright NewPath Learning. All Rights Reserved. 93-4302 www.newpathlearning.com Multiplication Concepts & Strategies

Number Line x Using a Pattern to Multiply Array Diagram 4 x 5 = • • Count by 5 ’s times • • Numbers that are multiplied are called factors. 4 groups of 5 The answer is the product. } 0 21 1 x 0 1 x 1 1 x 2 1 x 3 1 x 4 1 x 5 1 x 6 1 x 7 1 x 8 1 x 9 2 x 0 2 x 1 2 x 2 2 x 3 2 x 4 2 x 5 2 x 6 2 x 7 2 x 8 2 x 9 3 x 0 3 x 1 3 x 2 3 x 3 3 x 4 3 x 5 3 x 6 3 x 7 3 x 8 3 x 9 4 x 0 4 x 1 4 x 2 4 x 3 4 x 4 4 x 5 4 x 6 4 x 7 4 x 8 4 x 9 Area Model Addition Sentence Equal Shares Multiplication is repeated • 4 5 4 x 5 = 20 20 Multiply 4 x 5 4 x Key Vocabulary Terms • addition sentence • area model • array diagram • equal shares • factor • multiplication • number line • product • times © Copyright NewPath Learning. All Rights Reserved. 93-4302 www.newpathlearning.com Multiplication Concepts & Strategies \|xiBAHBDy01652mzV

1 X 0 2 3 4 5 6 7 8 9 10 1 0 2 3 4 5 6 7 8 9 10 11 00 22 33 44 55 66 77 88 99 10 10 2 0 0 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 8 10 12 14 16 18 20 3 6 9 12 15 18 21 24 27 30 4 8 12 16 20 24 28 32 36 40 5 10 15 20 25 30 35 40 45 50 6 12 18 24 30 36 42 48 54 60 7 14 21 28 35 42 49 56 63 70 8 16 24 32 40 48 56 64 72 80 9 18 27 36 45 54 63 72 81 90 10 20 30 40 50 60 70 80 90 100 0 x 0 0 x 1 0 x 2 0 x 3 0 x 4 0 x 5 0 x 6 0 x 7 0 x 8 0 x 9 0 x 10 1 x 0 1 x 1 1 x 2 1 x 3 1 x 4 1 x 5 1 x 6 1 x 7 1 x 8 1 x 9 1 x 10 2 x 0 2 x 1 2 x 2 2 x 3 2 x 4 2 x 5 2 x 6 2 x 7 2 x 8 2 x 9 2 x 10 3 x 0 3 x 1 3 x 2 3 x 3 3 x 4 3 x 5 3 x 6 3 x 7 3 x 8 3 x 9 3 x 10 4 x 0 4 x 1 4 x 2 4 x 3 4 x 4 4 x 5 4 x 6 4 x 7 4 x 8 4 x 9 4 x 10 5 x 0 5 x 1 5 x 2 5 x 3 5 x 4 5 x 5 5 x 6 5 x 7 5 x 8 5 x 9 5 x 10 6 x 0 6 x 1 6 x 2 6 x 3 6 x 4 6 x 5 6 x 6 6 x 7 6 x 8 6 x 9 6 x 10 7 x 0 7 x 1 7 x 2 7 x 3 7 x 4 7 x 5 7 x 6 7 x 7 7 x 8 7 x 9 7 x 10 8 x 0 8 x 1 8 x 2 8 x 3 8 x 4 8 x 5 8 x 6 8 x 7 8 x 8 8 x 9 8 x 10 9 x 0 9 x 1 9 x 2 9 x 3 9 x 4 9 x 5 9 x 6 9 x 7 9 x 8 9 x 9 9 x 10 10 x 0 10 x 1 10 x 2 10 x 3 10 x 4 10 x 5 10 x 6 10 x 7 10 x 8 10 x 9 10 x 10 • The numbers along the first column and top row are factors. The numbers inside the table are products. • To find the product of two factors, locate one of the factors in the first column and then find the other factor in the top row. The number in the square where the column and row meet is the product. © Copyright NewPath Learning. All Rights Reserved. 93-4303 www.newpathlearning.com Multiplication Table

1 X 0 2 3 4 5 6 7 8 9 10 1 0 2 3 4 5 6 7 8 9 10 11 00 22 33 44 55 66 77 88 99 10 10 2 0 0 1 2 3 4 5 6 7 8 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 8 10 12 14 16 18 20 3 6 9 12 15 18 21 24 27 30 4 8 12 16 20 24 28 32 36 40 5 10 15 20 25 30 35 40 45 50 6 12 18 24 30 36 42 48 54 60 7 14 21 28 35 42 49 56 63 70 8 16 24 32 40 48 56 64 72 80 9 18 27 36 45 54 63 72 81 90 10 20 30 40 50 60 70 80 90 100 0 x 0 0 x 1 0 x 2 0 x 3 0 x 4 0 x 5 0 x 6 0 x 7 0 x 8 0 x 9 0 x 10 1 x 0 1 x 1 1 x 2 1 x 3 1 x 4 1 x 5 1 x 6 1 x 7 1 x 8 1 x 9 1 x 10 2 x 0 2 x 1 2 x 2 2 x 3 2 x 4 2 x 5 2 x 6 2 x 7 2 x 8 2 x 9 2 x 10 3 x 0 3 x 1 3 x 2 3 x 3 3 x 4 3 x 5 3 x 6 3 x 7 3 x 8 3 x 9 3 x 10 4 x 0 4 x 1 4 x 2 4 x 3 4 x 4 4 x 5 4 x 6 4 x 7 4 x 8 4 x 9 4 x 10 5 x 0 5 x 1 5 x 2 5 x 3 5 x 4 5 x 5 5 x 6 5 x 7 5 x 8 5 x 9 5 x 10 6 x 0 6 x 1 6 x 2 6 x 3 6 x 4 6 x 5 6 x 6 6 x 7 6 x 8 6 x 9 6 x 10 7 x 0 7 x 1 7 x 2 7 x 3 7 x 4 7 x 5 7 x 6 7 x 7 7 x 8 7 x 9 7 x 10 8 x 0 8 x 1 8 x 2 8 x 3 8 x 4 8 x 5 8 x 6 8 x 7 8 x 8 8 x 9 8 x 10 9 x 0 9 x 1 9 x 2 9 x 3 9 x 4 9 x 5 9 x 6 9 x 7 9 x 8 9 x 9 9 x 10 10 x 0 10 x 1 10 x 2 10 x 3 10 x 4 10 x 5 10 x 6 10 x 7 10 x 8 10 x 9 10 x 10 • The numbers along the first column and top row are factors. . The numbers inside the table are pro duct. • To find the of two factors, locate one of the factors in the first column and then find the other factor in the top row. The number in the square where the column and row meet is the . Multiplication Table © Copyright NewPath Learning. All Rights Reserved. 93-4303 www.newpathlearning.com \|xiBAHBDy01653tz]

Division Sentence Using Multiplication to Divide How Many Groups? 1. 2. 3. How Many in Each Group? 12 – 4 = 8 8 – 4 = 4 4 – 4 = 0 Using a Number Line • Count back to divide • Start at 12 • Count back in 3s 0 5 1 2 3 4 6 7 8 9 10 11 12 13 14 16 17 18 19 15 20 4 3 2 1 Bob, Sue and Mike picked 12 apples to share equally. How many will each get? We use repeated subtraction to find out how many groups of 4 are in 12. We subtracted 4 three times. Therefore, there are 3 groups of 4 in 12. • 3 equal groups • 4 in each group 12 ÷ 3 = 4 number of apples number of apples in each basket number of baskets dividend divisor quotient We use division to find the number in each group. 1 2 3 4 5 6 7 8 9 10 11 12 factor factor product dividend divisor quotient number of equal groups number in each group group size total number total number number of groups 12 ÷ 3 = 4 Bob Sue Mike 3 x 4 = 12 3 x 4 = 12 12 ÷ 3 = 4 12 ÷ 3 = 4 © Copyright NewPath Learning. All Rights Reserved. 93-4304 www.newpathlearning.com Division Concepts & Strategies

Division Sentence Using Multiplication to Divide How Many Groups? 1. 2. 3. How Many in Each Group? 12 – 4 = 8 8 – 4 = 4 Using a Number Line • Count back to divide • Start at 12 • Count back in 3s 0 5 1 2 3 4 6 7 8 9 10 11 12 13 14 15 4 3 2 1 Bob, Sue and Mike picked 12 apples to share equally. How many will each get? We use to find out how many groups of 4 are in 12. We subtracted 4 three times. Therefore, there are 3 groups of 4 in 12 . • 3 equal groups • 4 in each group 12 ÷ 3 = 4 We use to find the number in each group. 1 2 3 4 5 6 7 8 9 10 11 12 12 ÷ 3 = 4 8 – 4 = 4 Key Vocabulary Terms • dividend • division • division sentence • divisor • factor • group • number line • product • quotient • repeated subtraction Division Concepts & Strategies Bob Sue Mike © Copyright NewPath Learning. All Rights Reserved. 93-4304 www.newpathlearning.com \|xiBAHBDy01645ozX

Counting Money Dollars Coins 5 dollars 10 dollars 20 dollars $1 or $1.00 $5 or $5.00 $10 or $10.00 $20 or $20.00 half dollar 50 cents 50¢ or $0.50 quarter 25 cents 25¢ or $0.25 dime 10 cents 10¢ or $0.10 nickel 5 cents 5¢ or $0.05 penny 1 cent 1¢ or $0.01 = 1 dollar Equivalent Values = = = = $ 1.00 $ 0.49 $ 0.50 $ 0.75 Cost of candy change from Writing Money Amounts Dollars & Cents $ 1.41 $ 1.41 $1.00 $1.25 $1.35 $1.40 $1.41 • Always count money from greater to lesser amounts. $ 2 . 15 $ 2 . 15 • A zero is placed in front of the decimal if the amount of money is less than one dollar. • Cents always have two digits. dollar sign dollar amount decimal point cents cents dollar amount Giving Change $ 0.25 $ 0.25 $ 0.25 $ 0.25 Always count money from lesser to greater amounts when giving change. $ 0 . 27 $ 0 . 27 27 cents 27 cents • $ 0.51 change All About Money © Copyright NewPath Learning. All Rights Reserved. 93-4305 www.newpathlearning.com

\|xiBAHBDy01639nzW Counting Money Dollars Coins or Equivalent Values = = = Writing Money Amounts Dollars & Cents = $ 1.41 $ 1.41 $ 2 . 15 $ 2 . 15 • A zero is placed in front of the if the amount of money is than one dollar. • Cents always have digits. Giving Change Always count money from lesser to greater amounts when giving change. $ 0 . 27 $ 0 . 27 27 cents 27 cents $ 1.00 $ 0.49 $ 0.50 $ 0.75 Cost of candy change from $ 0.26 change • All About Money © Copyright NewPath Learning. All Rights Reserved. 93-4305 www.newpathlearning.com Key Vocabulary Terms • cent • dollar sign • coin • half dollar • decimal point • nickel • digit • penny • dime • quarter • dollar or or or or or or or or • Always count money from greater to amounts.

Problem Solving Strategies Using Multiplication to Divide How Many Groups? $ 3 + $ 2 = $ 5 Using a Number Line • Count back to divide • Start at 12 • Count back in 3s 0 5 1 2 3 4 6 7 8 9 10 11 12 13 14 16 17 18 19 15 20 4 3 2 1 12 ÷ 3 = 4 Jane spent $3 to buy a hot dog and $2 to buy an ice cream. How much did she spend? whole part part • Add to find the whole $ 12 – $ 3 = $ 9 • Subtract to find a part Ken had $12. He bought a ball for $3. How much money does he have left? Commutative Property of Addition Identity (zero) Property Relating Addition & Subtraction Associative Property of Addition • Adding 4 and 5 to get 9 is the opposite of 9 minus 5, leaving 4. • The sum of any number and zero is that same number. • Add the addends in any order and the sum will be the same. • Group the addends in any way and the sum will be the same. • 4 + 5 has the same sum as 5 + 4 • Although the addends were grouped in different ways, the sum is the same. whole part part addends difference sum addend addend sum 33 12 12 22 33 ?? 99 44 55 ?? 4 + 5 = 9 4 5 9 5 + 4 = 9 5 4 9 4 + 5 = 9 and 9 – 5 = 4 8 + ( 2 + 3) = 8 + 5 = 13 ( 8 + 2) + 3 = 10 + 3 = 13 8 + ( 2 + 3) = 8 + 5 = 3 © Copyright NewPath Learning. All Rights Reserved. 93-4306 www.newpathlearning.com Addition & Subtraction Number Sense

Problem Solving Strategies Jane spent $3 to buy a hot dog and $2 to buy an ice cream. How much did she spend? whole part part • to find the whole – • to find a part Ken had $12. He bought a ball for $3. How much money does he have left? Commutative Property of Addition Identity (zero) Property Relating Addition & Subt raction Associative Property of Addition • Adding 4 and 5 to get 9 is the opposite of 9 minus 5, leaving 4. • The sum of any number and zero is that same number. • Add the in any order and the will be the same. • Group the in any way and the will be the same. • 4 + 5 has the same sum as 5 + 4 • Although the addends were grouped in different ways, the sum is the sam . whole part part ? 99 44 55 ? 4 + 5 = 9 4 5 9 5 + 4 = 9 5 4 9 4 + 5 = 9 and 9 – 5 = 4 8 + ( 2 + 3) = 8 + 5 = 13 ( 8 + 2) + 3 = 10 + 3 = 13 Key Vocabulary Terms • add • difference • subtract • addend • identity property • sum • associative property • minus • whole • commutative property • part Addition & Subtraction Number Sense © Copyright NewPath Learning. All Rights Reserved. 93-4306 www.newpathlearning.com \|xiBAHBDy01636mzV

• Mixed numbers have a whole number and a fraction. • A number line can be used to compare fractions. • Fractions that represent the same amount of a whole are called equivalent fractions. – One and one half tomatoes Equal Parts of a Whole Equivalent Fractions Mixed Numbers Fractions on a Number Line 2 equal parts Halves 3 equal parts Thirds 4 equal parts Fourths 5 equal parts Fifths 6 equal parts Sixths represents the same amount as example: 8 equal parts Eighths 10 equal parts Tenths 12 equal parts Twelfths Subtracting Fractions Adding Fractions 1. Only add the numerators 2. Write the total over the same denominator. 1. Only subtract the numerators 2. Write the difference over the same denominator. To add fractions with the same denominator: To subtract fractions with the same denominator: + = – = © Copyright NewPath Learning. All Rights Reserved. 93-4307 www.newpathlearning.com All About Fractions 1 5 1 4 1 3 1 6 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 1 8 2 8 3 8 4 8 4 8 5 8 6 8 7 8 8 8 1 10 1 12 1 1 2 1 1 2 0 1 4 2 4 3 4 4 4 0 1 2 1 2 2 2 0 0 1 1 4 1 2 1 2 1 4 1 4 1 4 1 3 6 2 6 5 6 = + 3 6 2 6 5 6 = + 3 8 2 8 1 8 = – 3 8 2 8 1 8 = – 1 2 Denominator Numerator

Equal Parts of a Whole © Copyright NewPath Learning. All Rights Reserved. 93-4307 www.newpathlearning.com \|xiBAHBDy01638qzZ All About Fractions 1 5 1 4 1 3 1 6 1 8 1 10 1 12 1 2 Key Vocabulary Terms • denominator • difference • eighths • equal parts • equivalent fraction • fifths • fourths • fraction • halves • mixed number • number line • numerator • sixths • tenths • thirds • total • twelfths equal parts equal parts equal parts equal parts • A number li can be used to fractions. Fractions on a Number Line 0 0 0 0 1 • Fractions that represent the same amount of a whole are called . Equivalent Fractions represents the same amount as example: 4 8 1 2 equal parts equal parts equal parts equal parts Adding Fractions 1. Only add the numerators 2. Write the total over the same denominat . To add fractions with the same denominator: + = 3 6 2 6 5 6 = + 3 6 2 6 5 6 = + Subtracting Fractions 1. Only subtract the numerators 2. Write the difference over the same denominator . To subtract fractions with the same denominator: – = 3 8 2 8 1 8 = – 3 8 2 8 1 8 = –

Adding Decimals Add 2.74 + 1.52 2.74 + 1.52 Subtract 2.74 – 1.52 Subtracting Decimals Step 1 Step 2 Step 3 Step 4 Step 1 Step 2 Step 3 Step 4 2.7 4 + 1.5 2 6 2.74 + 1.52 26 2.74 + 1.52 4.26 1 1 2.74 – 1.52 2.74 – 1.52 2 2.74 – 1.52 22 2.74 – 1.52 1.22 ones tens tenths hundr eds hundr edths ones tens tenths hundr eds hundr edths 1 2 1. 2 0 1 1. 3 2 1. 4 0 1. 0 4 0. 7 8 0. 7 0 7 10 7 10 1.04 1.04 0.78 0.78 1.4 0.7 1.4 0.7 4 100 4 100 100 78 78 100 1 2 1. 2 0 1 1. 3 2 1. 4 0 1. 0 4 0. 7 8 0. 7 0 Decimals & Fr actions: Place Value Ordering & Comparing Decimals Decimal numbers are another way of writing fractions or mixed numbers. seven tenths one and four tenths seventy - eight hundredths one and four hundredths • The numbers to the left of the decimal point are whole numbers. • The numbers to the right of the decimal point are parts or fractions of whole numbers. • Line up the decimal points. • Compare the digits in each column, starting on the left. One hundr ed twenty-one and two tenths Eleven and thirty-two hundr endths One and four tenths One and four hundr endths Seven tenths Seventy-eight hundr endths Hundredths Tenths 4 10 4 10 Base Blocks Fraction Decimal Word Form Base Blocks Fraction Decimal Word Form Line up the decimal points. Add the hundredths and regroup if needed. Add the tenths and regroup if needed. Add the ones. Place the decimal point in the sum. Line up the decimal points. Subtract the hundredths and regroup if needed. Subtract the tenths and regroup if needed. Subtract the ones. Place the decimal point in the difference. © Copyright NewPath Learning. All Rights Reserved. 93-4308 www.newpathlearning.com All About Decimals

Adding Decimals Add 2.74 + 1.52 2.74 + 1.52 Subtract 2.74 – 1.52 Subtracting Decimals Step 1 Step 2 Step 3 Step 4 Step 1 Step 2 Step 3 Step 4 2.7 4 + 1.5 2 6 2.74 + 1.52 2 2.74 + 1.52 4 . 1 1 2.74 – 1.52 2.74 – 1.52 2 2.74 – 1.52 2 2.74 – 1.52 1. ones tens tenths hund reds hund redths ones tens tenths hund reds hund redths Decimals & Fr actions: Place Value Decimal numbers are another way of writing fractions or mixed numbers. seven tenths one and four tenths seventy - eight hundredths one and four hundredths • The numbers to the left of the decimal point are . • The numbers to the right of the decimal point are parts or fractions of whole numbers. One hund red twenty-one and two tenths Eleven and thirty-two hundr endths One and four tenths One and four hundr endths Seven tenths Seventy-eight hundr endths Hundredths Tenths Base Blocks Fraction Decimal Word Form Base Blocks Fraction Decimal Word Form Line up the decimal points. Add the hundredths and regroup if needed. Add the tenths and regroup if needed. Add the ones. Place the decimal point in the sum. Line up the decimal points. Subtract the hundredths and regroup if needed. Subtract the tenths and regroup if needed. Subtract the ones. Place the decimal point in the difference. Key Vocabulary Terms • decimal • ones • decimal point • regroup • difference • sum • fraction • tens • hundreds • tenths • hundredths © Copyright NewPath Learning. All Rights Reserved. 93-4308 www.newpathlearning.com All About Decimals \|xiBAHBDy01637tz]

Solid Figures – objects that have length, width, and height. Lines & Line Segments Triangles & Polygons Angles Quadrilaterals rectangular prism cube line line segment right angle 90º right triangle (90º) square rectangle parallelogram rhombus trapezoid acute triangle ( < 90º) obtuse triangle (one angle > 90º) equilateral triangle (all sides equal) isosceles triangle (two sides equal) scalene triangle (no sides equal) hexagon (6 sides) acute angle < 90º obtuse angle > 90º Polygon parallel lines intersecting lines ray point pyramid cone cylinder sphere • Lines and line segments make up shapes and solid figures. • A triangle has three sides. • A polygon is any closed plane figure made up of three or more sides. • An angle is formed by two rays that share the same end point or vertex. corner or vertex edge vertex 3 cm 3 cm 5 cm 7 cm right angle ray ray face • The faces of these solid figures are polygons. • The perimeter is the distance around a figure. • Volume is the space inside a solid figure. Volume = 8 cubic units Perimeter: Volume: Area: Area = 4 + 4 + 4 = 12 squares Perimeter = 3 + 5 + 3 + 7 = 18 cm © C opyright NewPath Learning. All Rights Reserved. 93-4309 www.newpathlearning.com Geometry & Measurement

\|xiBAHBDy01647sz\ Solid Figures – objects that have length , width , and height . Lines & Line Segments Triangles & Polygons Angles Quadrilaterals rectangular prism cube pyramid cone cylinder sphere • Lines and line segments make up shapes and solid fi ur . • A has three sides. • A is any closed plane figure made up of three or more sides. • An angle is formed by two rays that share the same end point or vertex. 3 cm 3 cm 5 cm 7 cm • The faces of these solid figures are polygons . • The perimeter is the a figure. • Volume is the a solid figure. Volume = 8 cubic units Perimeter: Volume: Area: Area = = squares + + Perimeter = = 18cm + + + © C opyright NewPath Learning. All Rights Reserved. 93-4309 www.newpathlearning.com Geometry & Measurement Key Vocabulary Terms • angle • area • corner • edge • face • geometry • height • length • line • line segment • measurement • perimeter • polygon • quadrilaterals • solid figure • triangle • vertex • volume • width

Draw a Picture Read & understand Reflect & check Use your strategy to solve the problem 1 Plan 2 3 4 The Four-Step Method Strategies Make a Graph or Table Find a Pattern Work Backward Write a Number Sentence Day Number of Butterflies N u m b e r o f S tu d e n ts Monday Tuesday Wednesday Thursday 14 8 20 26 ? $ 7 m $ 16 $ 16 $ 7 m Day 1 243 miles 168 miles 212 miles allowance candy drink Day 2 $ 16 – $ 7 = m $ 16 – $ 7 = $ 9 m = $ 9 Day 3 ? • What do I need to find? • Identify and underline clue words • Look for something that changes in a predictable way. • Identify the steps in a problem and work backward doing the reverse of each step. • Make a graph or a table to compare information and to see patterns. • Write a number sentence and solve it to find the missing part. • Did I answer the question? • Is my answer probable? • Which strategy do I use? • Draw a picture • Find a pattern • Make a graph or table • Write a number sentence • Work backwards TOTAL ? – $ 3 – $ 2 • Draw a picture when the problem describes some action. ? + $ 3 + $ 2 $ 5 $ 5 money left allowance candy drink money left Clue Words Clue Words Addition Subtraction Multiplication Division • sum • total • in all • difference • how much more • product • total • times • share • average • quotient © Copyright NewPath Learning. All Rights Reserved. 93-4310 www.newpathlearning.com Problem-Solving Strategies

\|xiBAHBDy01661ozX Draw a Picture Read & understand Reflect & check Use your strategy to solve the problem 1 Plan 2 3 4 The Four-Step Method Strategies Make a Graph or Table Find a Pattern Work Backward Write a Number Sentence N u m b e r o f S tu d e n ts Monday Tuesday Wednesday Thursday 14 8 20 26 ? $ 7 m $ 16 $ 16 $ 7 m Day 1 243 miles 168 miles 212 miles allowance candy drink Day 2 $ 16 – $ 7 = m $ 16 – $ 7 = $ 9 m = $ 9 Day 3 ? • What do I need to find? • Identify and underline clue words • Look for something that changes in a predictable way. • Identify the steps in a problem and work backward doing the reverse of each step. • Make a graph or a table to compare information and to see pattern s . • Write a number sentence and solve it to find the missing part . • Did I answer the question? • Is my answer probable? • Which strategy do I use? • Draw a picture • Find a pattern • Make a graph or table • Write a number sentence • Work backwards TOTAL – $ 3 $ 10 – $ 2 • Draw a picture when the problem describes some action . + $ 3 + $ 2 $ 5 money left allowance candy drink money left Clue Words Clue Words Addition Subtraction Multiplication Division Key Vocabulary Terms • addition • product • average • quotient • difference • share • division • strategy • graph • subtraction • how much more • sum • in all • table • multiplication • times • number sentence • total • pattern • • • • • • • • • • • Day Number of Butterflies Problem-Solving Strategies © Copyright NewPath Learning. All Rights Reserved. 93-4310 www.newpathlearning.com

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