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Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources GRADES 4–6 Cindi Mitchell NEW YORK • TORONTO • LONDON • AUCKLAND • SYDNEY MEXICO CITY • NEW DELHI • HONG KONG • BUENOS AIRES Scholastic Inc. grants teachers permission to photocopy the designated reproducible pages from this book for classroom use. No other part of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without written permission of the publisher. For information regarding permission, write to Scholastic Inc., 557 Broadway, New York, NY 10012. Editor: Mela Ottaiano Cover design: Brian LaRossa Interior design: Melinda Belter ISBN-13: 978-0-439-37661-7 ISBN-10: 0-439-37661-0 Copyright © 2008 by Cindi Mitchell. All rights reserved. Published by Scholastic Inc. Printed in the U.S.A. 1 2 3 4 5 6 7 8 9 10 40 14 13 12 11 10 09 08 Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources I would like to dedicate this book to Andrea Ebling. She is a first year teacher and her humor, zeal of teaching, and love of children helps to remind me why I entered this profession years ago. She has a brilliant career ahead of her and throughout the years many children will have the awesome privilege of calling her their teacher. Contents ............................................................................5 INTRODUCTION NUMBER THEORY South Africa: Pottery Bowl . . . . . . . . . . . . . . . . Number Theory: Prime and Composite . . . . . . . . . . . . 6 China: Hexagon . . . . . . . . . . . . . . . . . . . . Number Theory: Divisibility . . . . . . . . . . . . . . . . . . . . . . 7 Navajo: Crystals and Stripes . . . . . . . . Number Theory: Divisibility . . . . . . . . . . . . . . . . . . . . . . 8 PLACE VALUE Netherlands: Maya: New Mexico: China: Russia: Decorative Plate . . . . . . . . . . . . Celebration Mask . . . . . . . . . . . Twirling Rings . . . . . . . . . . . . . . . Stained-Glass Window . . . . . . Blooming Flower . . . . . . . . . . . . Place Value: Through Hundred Thousands . . . . . . . . . 9 Place Value: Through Hundred Millions . . . . . . . . . . . 10 Place Value: Through Billions . . . . . . . . . . . . . . . . . . . . 11 Place Value: Through Hundredths . . . . . . . . . . . . . . . 12 Place Value: Through Thousandths . . . . . . . . . . . . . . 13 ADDITION AND SUBTRACTION British Columbia: Aztec: Japan: Turkey: Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources Spain: China: Stripes and Diamonds. . . . . . . Blazing Star . . . . . . . . . . . . . . . . . Ancient Monolith . . . . . . . . . . . . Secret Passages . . . . . . . . . . . . Moresque Tiles. . . . . . . . . . . . . . Colorful Fans . . . . . . . . . . . . . . . Addition: Estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Addition: Two and Three Digits . . . . . . . . . . . . . . . . . . 15 Addition: Four and Five Digits . . . . . . . . . . . . . . . . . . . 16 Subtraction: Estimation . . . . . . . . . . . . . . . . . . . . . . . . 17 Subtraction: Two and Three Digits . . . . . . . . . . . . . . . 18 Subtraction: Four and Five Digits . . . . . . . . . . . . . . . . . 19 MULTIPLICATION AND DIVISION Embroidered Lace . . . . . . . . . . . Russia: Twirling Rose . . . . . . . . . . . . . . . Maya: Ancient Headdress . . . . . . . . . . Japan: Fragrant Blossoms . . . . . . . . . . Japan: Fan and Waves . . . . . . . . . . . . . Indonesia: Ikat Wall Hanging . . . . . . . . . . . Hawaii: Meadow Flowers . . . . . . . . . . . . Panama: Mola . . . . . . . . . . . . . . . . . . . . . . . . Iran: Stars and Diamonds . . . . . . . . Persian: Ornamental Flower . . . . . . . . . . Maya: Goddess . . . . . . . . . . . . . . . . . . . . North Africa: Colorful Tiles . . . . . . . . . . . . . . . . Denmark: Multiplication: Basic Facts . . . . . . . . . . . . . . . . . . . . . . 20 Multiplication: Two Digits x One Digit . . . . . . . . . . . . . . 21 Multiplication: Three Digits x One Digit . . . . . . . . . . . 22 Multiplication: Two Digits x Two Digits . . . . . . . . . . . . 23 Multiplication: Three Digits x Two Digits . . . . . . . . . . . 24 Division: Basic Facts . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Division: Two Digits ÷ One Digit . . . . . . . . . . . . . . . . . 26 Division: Three Digits ÷ One Digit . . . . . . . . . . . . . . . . 27 Division: Two Digits ÷ One Digit With Remainder . . . 28 Division: Three Digits ÷ One Digit With Remainder . . 29 Division: Three Digits ÷ Two Digits . . . . . . . . . . . . . . . 30 Division: Three Digits ÷ Two Digits With Remainder . . 31 FRACTIONS: ADDITION AND SUBTRACTION Passamaquoddy: Inca: Pennsylvania Dutch: Tibet: China: Guyana: China: India: Ireland: Denmark: Aztec: Tunisia: Latvia: Thunderbird Mountain . . . . . . . Festive Mask. . . . . . . . . . . . . . . . Spring Morning . . . . . . . . . . . . . Palace Steps . . . . . . . . . . . . . . . . Circle of Rectangles . . . . . . . . Geometric Pattern . . . . . . . . . . Palace Window . . . . . . . . . . . . . Tile Floor. . . . . . . . . . . . . . . . . . . . Red and Black Puzzle . . . . . . . Pinwheel Star . . . . . . . . . . . . . . . Wall Decoration . . . . . . . . . . . . . Octagon Mosaic . . . . . . . . . . . . Square Tablecloth . . . . . . . . . . . Fractions: Equivalent Fractions . . . . . . . . . . . . . . . . . . 32 Fractions: Rename in Lowest Terms . . . . . . . . . . . . . . 33 Fractions: Improper Fractions to Mixed Numbers . . . 34 Fractions: Mixed Numbers to Improper Fractions . . . 35 Fractions: Addition With Like Denominators . . . . . . . 36 Fractions: Addition With Like Denominators . . . . . . . 37 Fractions: Addition with Unlike Denominators . . . . . 38 Fractions: Addition With Unlike Denominators . . . . . 39 Fractions: Addition With Mixed Numbers . . . . . . . . . 40 Fractions: Subtraction With Like Denominators . . . . . 41 Fractions: Subtraction With Unlike Denominators . . . 42 Fractions: Subtraction With Mixed Numbers . . . . . . . 43 Fractions: Subtraction With Mixed Numbers . . . . . . . 44 FRACTIONS: MULTIPLICATION AND DIVISION Fractions: Whole Numbers x Fractions . . . . . . . . . . . 45 Fractions: Fractions x Fractions . . . . . . . . . . . . . . . . . . 46 Fractions: Mixed Numbers x Whole Numbers . . . . . 47 Fractions: Mixed Numbers x Mixed Numbers . . . . . . 48 Fractions: Whole Numbers ÷ Fractions . . . . . . . . . . . 49 Fractions: Fractions ÷ Whole Numbers . . . . . . . . . . . 50 Fractions: Fractions ÷ Fractions . . . . . . . . . . . . . . . . . . 51 Fractions: Mixed Numbers ÷ Mixed Numbers . . . . . 52 DECIMALS: ADDITION AND SUBTRACTION Father Sun . . . . . . . . . . . . . . . . . . Pima: Ceremonial Bowl . . . . . . . . . . . . Hopi: Sun Bird . . . . . . . . . . . . . . . . . . . . France: Friendship Knots . . . . . . . . . . . . Papago: Decimals: Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Decimals: Addition With Money . . . . . . . . . . . . . . . . . 54 Decimals: Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . 55 Decimals: Subtraction With Money . . . . . . . . . . . . . . 56 DECIMALS: MULTIPLICATION AND DIVISION London Garden . . . . . . . . . . . . . New Mexico: Interlocking Shapes . . . . . . . . . Egypt: Circles Everywhere! . . . . . . . . . Latvia: Kitchen Tile . . . . . . . . . . . . . . . . . England: Decimals: Decimals x Whole Numbers . . . . . . . . . . . 57 Decimals: Decimals x Decimals . . . . . . . . . . . . . . . . . 58 Decimals: Decimals ÷ Whole Numbers . . . . . . . . . . . 59 Decimals: Decimals ÷ Decimals . . . . . . . . . . . . . . . . . 60 CREATE-A-DESIGN TEMPLATES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 BRAIN TEASER ANSWERS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources Sacred Circle . . . . . . . . . . . . . . . Sweden: Twirling Pinwheel . . . . . . . . . . . . England: Elizabethan Bells . . . . . . . . . . . . Persian: Nine Stars . . . . . . . . . . . . . . . . . . Hopi: Winged Warrior . . . . . . . . . . . . . France: Fractured Crystal . . . . . . . . . . . Polynesian: Beautiful Swimmer . . . . . . . . . . Ghana: Kente Cloth . . . . . . . . . . . . . . . . . Pueblo: Introduction elcome to Math Line Designs From Around the World: Grades 4–6—a collection of more than 50 interactive pages that feature designs based on motifs from different places and cultures around the world. As students complete the pages that follow, they will experience the repeated practice of essential math skills they need to help them build mastery and automaticity. To help you connect the activities in this book with your curriculum, the table of contents organizes them by skill area. You can see at a glance the activities that match the math skill you are teaching. W Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources How to Use This Book First, students solve math problems. Then, they follow a key to determine how to color the shapes in each design to create a beautiful picture. Each page emphasizes a different math skill such as multiplication, division, fractions, and decimals. Reading the key and completing the design gives students practice with additional skills, such as following directions and recognizing patterns. Practicing basic math skills in this way helps students stay focused and motivated. Ways to Extend Learning Each activity page contains a bonus “Brain Teaser” problem, which challenges students to think about the math skill more critically. (See the answer key for solutions to these problems.) The last three activity sheets in this book give students the opportunity to design their own math worksheets for classmates to complete. You may HELPFUL HINTS • Point out the country or a culture’s region on a world map and share some background information before students begin the activity. • Encourage students to complete all of the math problems before they begin to color. • Suggest to students that they may want to write some of the math problems on a separate sheet of paper so they will have enough space for computation. • Have students use a 16-pack of crayons or colored pencils to color their designs. want to compile these student-made worksheets into a class math design book. Using these designs as springboards, invite students to research traditions and other aspects of the places and cultures represented in this book. Have students continue to learn about different parts of the world through making crafts, such as Egyptian bead necklaces, Japanese origami, or Guatemalan weavings using a cardboard loom. For more ideas, see the following resources: Art Projects From Around the World: Grades 4–6, by Linda Evans, Karen Backus, and Mary Thompson (Scholastic, 2006) Kids Around the World Create!: The Best Crafts and Activities From Many Lands, by Arlette N. Braman (Jossey-Bass, 1999) SPECIAL NOTE Some of the designs in this book are related to images that have deep spiritual significance for native cultures. Remind students that art is not only decorative; explain that it can also be sacred or religious, and it is therefore important to be sensitive and respectful when creating these pictures. Please emphasize that these projects are intended to help them learn about and develop an appreciation for different cultures. 5 Name __________________________________________________ N U M B E R T H E O RY Prime and Composite SOUTH AFRICA Pottery Bowl 42 48 103 83 79 43 47 59 101 107 19 38 10 14 52 71 23 4 6 44 8 61 2 36 12 67 73 17 13 46 54 58 50 7 29 24 20 26 89 97 11 5 31 22 53 37 28 41 3 30 r in Tease Bra Look at each number. If the number is Color the shape prime black composite dark orange Fill in the other shapes with colors of your choice. 6 Write four numbers greater than one hundred that are composite. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 16 32 Name __________________________________________________ N U M B E R T H E O RY Divisibility CHINA Hexagon 303 22 33 34 58 32 309 417 81 21 604 213 74 92 185 51 69 125 88 24 8 26 9 33 24 3 76 8 45 104 46 62 3 60 245 27 115 93 9 1,407 335 94 128 99 87 304 93 23 7 14 16 39 9 63 68 44 813 674 38 106 406 9 in Tease Bra Look at each number. If the number is divisible by r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 44 52 24 9 8 4 40 3 725 Color the shape 2 pink 3 yellow 5 green Circle the numbers that are divisible by both 2 and 5. 10 24 Fill in the other shapes with colors of your choice. 15 18 25 20 30 7 Name __________________________________________________ N U M B E R T H E O RY Divisibility N AVA J O Crystals and Stripes 434 99 455 14 26 447 543 395 4 22 9 789 425 87 693 52 64 295 62 32 453 51 415 621 393 8 44 385 38 305 46 68 33 963 275 56 543 325 Look at each number. r in Tease Bra If the number is divisible by 8 Color the shape 2 blue 3 yellow 5 gray Fill in the other shapes with colors of your choice. Circle the numbers that are divisible by 2, 3, and 5. 20 30 40 50 60 Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 82 265 Name __________________________________________________ P L A C E VA L U E Through Hundred Thousands NETHERLANDS Decorative Plate 3,347 5,509 9,163 701,566 523,704 43 7,3 47 955,120 15 7 , 9 24 643,498 735,152 676,358 261,858 989,756 842,358 417,181 521,124 195,544 867,652 253,270 1,315 3,901 7,597 Look at each number. If the digit in the Color the shape hundred thousands place is odd pink thousands place is even yellow hundreds place is even light green ones place is odd light blue Fill in the other shapes with colors of your choice. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 305,398 Write a number that is ten thousand more than your age. 9 Name __________________________________________________ P L A C E VA L U E Through Hundred Millions MAYA Celebration Mask 09 75,9 6 , 3 1 3 09 271,9 202, 480, 473, 909 2,589 4,4 21 12 2,7 83 0,2 73 ,90 9 757,447,221 9 ,90 73 6,6 86 911,243,221 200 ,546 444,5 46 2,52 8 8,413 460,841,221 448,005,365 634,671,909 82,546 271,543,221 6,9 92 67 4,8 282, 423, 365 2,508 65 55,3 816,2 Look at each number. Color the shape hundred millions place is odd black millions place is even gold hundred thousands place is odd dark green thousands place is even dark orange Fill in the other shapes with colors of your choice. in Tease Bra r 10 If the digit in the Write a number one less than one hundred million. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 5 ,36 37 6,8 45 67 6,8 07 ,36 5 1 8,33 6,00 1 824,546 Name __________________________________________________ P L A C E VA L U E Through Billions NEW MEXICO 75 6,1 60 ,51 2,0 66 12 6,4 0 4,3 ,62 8 90 739,005 907,321 452,687 539,112 761,327 464,650 800,217 737,217 573,477 876,221 501,475 939,139 800,217 606,094 57 ,6 88 1,1 94 6, 19 1 ,09 6 1 ,7 47 9 , 132 445,231,156,200 88 6,9 67 ,39 2,0 91 Look at each number. Color the shape billions place is even dark green ten millions place is odd dark orange hundred thousands place is even brown thousands place is odd yellow Fill in the other shapes with colors of your choice. in Tease Bra r If the digit in the 74 4, 90 7, 98 2, 09 1 109,017,534,789 875 48, 6,7 ,52 206 398 ,50 6,12 2,8 75 91 2,0 ,97 ,107 824 608,110 462,221 906 ,32 1,51 6,4 35 147,212,344,657 881,091,556,301 Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 64 ,5 54 1,9 06 2, 35 63 8, 02 0, 16 8, 32 1 Twirling Rings Write the number twenty-two billion, nine hundred million, forty-five in numeral form. 11 Name __________________________________________________ P L A C E VA L U E Through Hundredths CHINA Stained-Glass Window 152.02 84.24 977.32 55.12 96.84 1.38 6.06 70.55 6.75 4.57 2.71 22.95 38.15 98.13 4.35 13.12 4.48 410.66 19.34 27.58 82.26 74.42 113.76 15.58 6.66 12.84 733.76 77.32 52.46 78.68 31.74 303.72 72.99 48.11 6.71 2.53 10.35 6.53 32.95 8.57 48.04 266.28 19.72 89.98 30.84 Look at each number. 44.08 123.96 r in Tease Bra 12 If the digit in the Color the shape ones place is odd orange tenths place is even green hundredths place is odd yellow Fill in the other shapes with colors of your choice. Write the decimal ninety-nine and four hundredths in numeral form. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 91.16 Name __________________________________________________ P L A C E VA L U E Through Thousandths RUSSIA Blooming Flower 3,079.211 4.606 85.255 92.022 8.444 395.253 2.234 13.712 16.696 11.354 6.472 101.556 8.818 61.033 18.438 913.596 150.698 915.312 21.855 42.822 7.752 18.836 19.170 11.916 4.054 5.611 96.200 4,074.660 23.077 10.488 77.699 in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 2.294 Look at each number. If the digit in the Color the shape ones place is even yellow tenths place is odd orange thousandths place is odd purple Fill in the other shapes with colors of your choice. Look at the decimal 45.072. Write a decimal two hundredths larger and then one that is two hundredths smaller. 13 Name __________________________________________________ ADDITION Estimation BRITISH COLUMBIA Stripes and Diamonds 49 + 23 = 61 + 17 = 409 + 445 ______ 322 + 274 ______ 470 + 234 ______ 87 + 75 _____ 17 + 99 _____ 12 + 25 = 81 + 12 = 34 + 15 = 419 + 354 ______ 258 + 299 ______ 124 + 698 ______ 41i + 65 _____ 63 + 72 _____ 13 + 83 = 435 + 288 ______ 321 + 215 ______ 41 + 78 _____ 77 + 59 _____ 14 18 + 84 _____ in Tease Bra r Round each number to the greatest place value. Then estimate the sum. If the estimated sum is between 33 + 69 _____ 42 + 35 = 71 + 12 = 345 + 109 ______ 55 + 82 _____ Color the shape 1 and 90 purple 100 and 190 blue 200 and 800 yellow Fill in the other shapes with colors of your choice. There are 12 marbles in one bag and 39 marbles in another bag. Estimate the total number of marbles in both bags. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 57 + 19 = Name __________________________________________________ ADDITION Two and Three Digits AZTEC Blazing Star 439 + 1 79 ______ 337 + 1 36 ______ 365 + 1 38 ______ 207 + 189 ______ 19 +____ 27 127 + 247 ______ 26 +____ 17 584 + 298 ______ 627 + 298 ______ 42 +____ 29 58 +___ 39 27 + 34 _____ 15 +____ 17 13 +____ 18 45 +____ 18 68 +____ 29 27 +____ 15 144 + 127 ______ 11 +____ 39 56 +____ 36 163 + 189 ______ 537 + 304 ______ 808 + 127 ______ 209 + 281 ______ in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 35 +____ 56 Solve the problems. If the sum is between Color the shape 1 and 50 red 51 and 100 yellow 101 and 500 green 501 and 1,000 blue Fill in the other shapes with colors of your choice. Vinnie played two games of basketball. The first game he scored 38 points and the second game he scored twice as many points plus 4 more. How many points did he score for both games? 15 Name __________________________________________________ ADDITION Four and Five Digits JAPAN Ancient Monolith 812 82, 4_4_ 5_,_3_ +___8_ 56 _+__85 ,209 ___,1 2 __9_ 4,329 +________ 1,252 8,708 +________ 1,927 7,455 +________ 6,731 4,845 +________ 8,987 48,632 + 19,166 _________ 73 _+__29 ,980 __,_46 __5_ 60,165 + 34,284 _________ 2 _+__9 8,576 _2__,30 __0_ 356 43, 0_0_0_ 89_,_ +____ 5,873 +________ 4,228 6,356 +________ 2,107 5,012 +________ 3,299 310 75, 94_ 7_ 25_,__ +____ 16 If the sum is between Color the shape 1 and 10,000 _______________________ 10,001 and 50,000 _______________________ 50,001 and 100,000 _______________________ 100,001 and 200,000 _______________________ Fill in the other shapes with colors of your choice. in Tease Bra r On each line write the name of a color that you like. Then find each sum. The students sold 2,465 raffle tickets in January. In February, the total increased by 1,187. How many tickets did the students sell in January and February combined? Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 53,465 + 42,560 _________ 83,708 + 15,927 _________ 342 64, ,9_7_7_ 35__ +____ 4 _+__5 1,365 _9__,82 __5_ 1,346 +________ 1,293 Name __________________________________________________ SUBTRACTION Estimation TURKEY Secret Passages 5,214 – 3,871 ________ 948 – 149 ______ 85 – 67 _____ 92 – 12 _____ 424 –_____ 216 747 – 506 ______ 908 –_____ 147 863 –_____ 2 15 807 – 439 ______ 948 – 31 7 ______ 924 –_____ 106 763 –_____ 136 681i – 335 ______ 880 –_____ 546 912 –_____ 296 44 – 22 _____ 76 – 14 _____ 41 – 19 _____ 51 – 29 _____ 88 – 16 _____ 82 – 42 _____ 987 – 119 ______ 7,807 –________ 2,409 Round each number to the greatest value. Then estimate the difference. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 92 1 –_____ 340 74 – 38 _____ 91 – 71 _____ 78 – 64 _____ 68 – 24 _____ If the answer is between Color the shape 10 and 40 black 50 and 100 yellow 200 and 600 green 700 and 6,000 purple Fill in the other shapes with colors of your choice. Write a subtraction problem with an estimated difference of 200. 17 Name __________________________________________________ SUBTRACTION Two and Three Digits SPAIN 283 – 189 ______ 594 – 388 ______ 64 – 37 _____ 443 – 168 ______ 745 – 177 ______ 982 – 197 ______ 719 – 120 ______ 857 – 160 ______ 303 – 198 ______ 591 – 323 ______ 312 – 217 ______ 260 – 109 ______ 682 – 34 1 ______ 974 – 316 ______ 538 – 127 ______ 788 – 129 ______ in Tease Bra 18 r Solve the problems. If the difference is between Color the shape 1 and 150 orange 151 and 300 red 301 and 600 blue 601 and 999 purple Fill in the other shapes with colors of your choice. Write a three-digit subtraction problem with the largest possible difference using the following digits: 1,2,4,5,5,9. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources Moresque Tiles Name __________________________________________________ SUBTRACTION Four and Five Digits CHINA Colorful Fans 25,395 –_________ 18,006 61,571 –_________ 54,168 98,009 – 35,129 = 64,198 –_________ 52,329 9,083 48,005 –_________ 34,822 2,303 – 1,644 _______ 9,046 – 1,709 _______ 61,194 –_________ 13,198 9,388 –______ 1,499 – 1 ,194 _______ 66,146 –_________ 26,145 33,210 –_________ 18,004 8,710 – 1,456 _______ 9,875 – 2,690 _______ 56,455 –________ 41,456 57,902 –_________ 42,907 74,119 – 29,119 = 36,590 –_________ 29,165 23,210 –_________ 18,004 Solve the problems. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 52,55 1 –________ 37,674 If the difference is between Color the shape 1 and 7,500 pink 7,501 and 40,000 green 40,001 and 70,000 red Fill in the other shapes with colors of your choice. If you find the difference of two five-digit numbers, what is the largest possible answer? 19 Name __________________________________________________ M U LT I P L I C AT I O N Basic Facts DENMARK Embroidered Lace 12 x 4 ____ 7 x 4 ____ 8 x 4 ____ 11 x 7 ____ 1 x 1 ____ 9 x 3 ____ 2 x 4 ____ 9 x 4 ____ 8 x 8 ____ 10 x 9 ____ 10 x 2 ____ 12 x 2 ____ 6 x 8 ____ 9 x 7 ____ 5 x 8 ____ 9 x 9 ____ 3 x 4 ____ 5 x 9 ____ 7 x 9 ____ 7 x 2 ____ 7 x 4 ____ 11 x 6 ____ 8 x 9 ____ 7 x 5 ____ 9 x 8 ____ 6 x 9 ____ 7 x 8 ____ 2 x 9 ____ 3 x 9 ____ 7 x 7 ____ 12 x 8 ____ 11 x 4 ____ 11 x 2 ____ 10 x 3 ____ 6 x 2 ____ 5 x 5 ____ 6 x 6 ____ 1 x 9 ____ 11 x 9 ____ 4 x 6 ____ On each line write the name of a color that you like. Then find each product. If the product is between Color the shape 1 and 15 _______________________ 16 and 30 _______________________ 31 and 45 _______________________ 46 and 144 _______________________ Fill in the other shapes with colors of your choice. 5 x 7 ____ 4 x 3 ____ 5 x 3 ____ in Tease Bra r 20 3 x 7 ____ Write three basic multiplication facts with the product 48. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 5 x 6 ____ Name __________________________________________________ M U LT I P L I C AT I O N Two Digits x One Digit RUSSIA Twirling Rose 33 x 9 = 88 x 8 = 68 x 9 = 48 x 7 = 65 x 8 = 59 x 2 = 99 x 7 = 92 x 9 = 45 x 2 = 58 x 6 = 96 x 2 = 80 x 9 = 67 x 5 = 89 x 4 = 92 x 7 = 87 x 8 = 81 x 3 = Solve the problems. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 88 x 9 = If the product is between Color the shape 1 and 300 green 301 and 600 yellow 601 and 1,000 blue Fill in the other shapes with colors of your choice. Write two multiplication problems that each have a product of 312. 21 Name __________________________________________________ M U LT I P L I C AT I O N Three Digits x One Digit MAYA Ancient Headdress 570 x __ 7 ___ 471 x 8 _____ 511 x 5 _____ 440 x 9 _____ 500 x 6 _____ 642 820 x __ 2 ___ 575 x __ 6 ___ 398 x __ 3 ___ x __ 5 ___ 875 x 4 _____ 926 x 3 _____ 719 x 2 _____ 466 x __ 9 ___ 760 x 5 _____ 998 x 5 _____ 437 x __ 2 ___ 599 x 3 _____ 245 x 8 _____ 608 x 4 _____ 222 x 9 _____ 196 x 9 _____ 285 x __ 7 ___ 850 x __ 9 ___ 381 x 2 _____ 642 x __ 7 ___ 813 x 7 _____ 698 x 8 _____ 547 918 x __ 5 ___ x __ 4 ___ 812 x 8 _____ 780 x __ 7 ___ r in Tease Bra Solve the problems. 22 If the product is between Color the shape 1 and 2,000 red 2,001 and 4,000 orange 4,001 and 6,000 yellow 6,001 and 9,000 brown Fill in the other shapes with colors of your choice. Marek wrote a multiplication problem with the product 4,500. If one factor is 5, what is the other factor? Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 481 x __ 8 ___ 944 x 2 _____ 688 x __ 4 ___ Name __________________________________________________ M U LT I P L I C AT I O N Two Digits x Two Digits JAPAN Fragrant Blossoms 76 x 80 _____ 46 x 98 _____ 93 x 90 _____ 87 x 99 _____ 12 x 16 _____ 69 x 58 _____ 39 x 56 _____ 46 x 23 _____ 77 x 64 _____ 68 x 49 _____ 34 x 18 _____ 88 x 91 _____ 81 x 77 _____ 81 x 95 _____ in Tease Bra Solve the problems. r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 98 x 59 _____ 86 x 78 _____ If the product is between Color the shape 100 and 2,500 purple 2,501 and 5,000 light purple 5,001 and 7,500 blue 7,501 and 10,000 light blue Fill in the other shapes with colors of your choice. Use the following digits to create a two-digit multiplication problem with the greatest possible product: 1,2,8,9. 23 Name __________________________________________________ M U LT I P L I C AT I O N Three Digits x Two Digits JAPAN Fan and Waves 801 x 42 _____ 879 281 x_____ x95 95 650 x 32 _____ 875 x 78 _____ 755 x 46 _____ 680 x___90 __ 970 x___68 __ 198 152 x__56 __ 403 x_____ 57 x 67 ____ 311 x 57 ____ 788 x 99 _____ 256 x____ 13 981 x_____ 80 699 x____ 64 999 x____ 88 979 x____ 89 714 x____ 63 r in Tease Bra Solve the problems. 24 If the product is between Color the shape 1 and 20,000 pink 20,001 and 50,000 blue 50,001 and 80,000 yellow 80,001 and 99,000 green Fill in the other shapes with colors of your choice. Using three-digit and two-digit numbers write a multiplication problem that has a product less than 1222. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 925 x_____ 31 950 x_____ 99 Name __________________________________________________ DIVISION Basic Facts INDONESIA Ikat Wall Hanging 15 ÷ 3 = 27 ÷ 9 = 27 ÷ 3 = 8÷8= 56 ÷ 8 = 12 ÷ 2 = 18 ÷ 9 = 36 ÷ 4 = 16 ÷ 4 = 54 ÷ 6 = 32 ÷ 8 = 10 ÷ 5 = 66 ÷ 6 = 8÷4= 21 ÷ 7 = 40 ÷ 5 = 24 ÷ 8 = 14 ÷ 7 = 72 ÷ 6 = 45 ÷ 9 = 8÷2= 9÷9= 60 ÷ 6 = 49 ÷ 7 = 5÷5= 77 ÷ 7 = 48 ÷ 8 = 15 ÷ 5 = 12 ÷ 6 = 88 ÷ 8 = 24 ÷ 6 = 96 ÷ 8 = Solve the problems. If the quotient is Color the shape 1 or 2 red 3 or 4 orange 5 or 6 yellow 7 or 8 blue 9 or greater purple in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 16 ÷ 8 = 9÷3= 24 ÷ 4 = 40 ÷ 8 = Fill in the other shapes with colors of your choice. Write three different division problems that all have the same quotient. 25 Name __________________________________________________ DIVISION Two Digits ÷ One Digit HAWAII Meadow Flowers 38 ÷ 2 = 86 ÷ 2 = 50 ÷ 5 = 20 ÷ 2 = 70 ÷ 2 = 90 ÷ 2 = 52 ÷ 4 = 48 ÷ 2 = 48 ÷ 4 = 92 ÷ 2 = 58 ÷ 2 = 88 ÷ 2 = 62 ÷ 2 = 99 ÷ 3 = 96 ÷ 3 = 75 ÷ 3 = 78 ÷ 3 = Solve the problems. r in Tease Bra 26 If the quotient is between Color the shape 1 and 10 green 11 and 16 blue 17 and 23 yellow 24 and 30 purple 30 and 50 pink Fill in the other shapes with colors of your choice. Write three division problems with two-digit dividends that each have the quotient 12. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 84 ÷ 6 = Name __________________________________________________ DIVISION Three Digits ÷ One Digit PANAMA Mola 368 ÷ 4 = 888 ÷ 8 = ___ 9 ) 144 ___ ___ 9 ) 594 4 ) 604 ___ 8 ) 232 ___ 6 ) 642 7 ) 616 ___ 5 ) 195 309 ÷ 3 = 148 ÷ 2 = On each line write the name of a color that you like. Then find the quotient. If the quotient is between Color the shape 1 and 50 __________________ 51 and 100 __________________ 101 and 200 __________________ in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources ___ Find the missing digits. X = Y = 8Y ___ 7 Fill in the other shapes with colors of your choice. ) X23 27 Name __________________________________________________ DIVISION Two Digits ÷ One Digit With Remainder IRAN Stars and Diamonds 3 ) 11 ___ 8 ) 50 ___ 7 ) 20 ___ 7 ) 55 ___ 2 ) 11 ___ 9 ) 75 ___ 5 ) 48 ___ 9 ) 82 ___ 6 ) 11 ___ 9 ) 33 ___ 5 ) 38 ___ 4 ) 10 ___ ___ 5 ) 34 7 ) 19 ___ ___ 8 ) 13 5 ) 29 ___ ___ 8 ) 71 9 ) 26 ___ ___ 9 ) 44 9 ) 71 ___ ___ 9 ) 58 7 ) 13 ___ ___ 5 ) 24 8 ) 61 Solve the problems. ___ 3 ) 16 ___ 6 ) 38 ___ 5 ) 14 ___ 9 ) 42 ___ 4 ) 14 ___ 8 ) 65 ___ 2 ) 19 ___ 7 ) 24 ___ 6 ) 47 ___ 8 ) 45 ___ 6 ) 19 ___ 7 ) 52 r in Tease Bra 28 If the remainder is between Color the shape 1 and 3 red 4 and 6 green 7 and 8 yellow Fill in the other shapes with colors of your choice. If a division problem has the divisor 8, is it possible to have the remainder 9? Explain. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources ___ Name __________________________________________________ DIVISION Three Digits ÷ One Digit With Remainder PERSIAN Ornamental Flower ___ 9 ) 350 ___ 8 ) 223 ___ 7 ) 208 ___ 9 ) 836 ___ ___ 6 ) 149 ___ ___ 7 ) 724 9 ) 483 ___ 3 ) 239 ___ 8 ) 382 6 ) 376 9 ) 737 ___ 8 ) 737 ___ 5 ) 423 6 ) 407 ___ ___ __ ___ 9 ) 317 8 ) 327 ___ ___ 8 ) 237 ___ 9 ) 385 7 ) 265 ___ 9 ) 611 ___ 8 ) 415 ___ 9 ) 417 in Tease Bra Solve the problems. r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 8 ) 599 4 ) 307 ___ 9 ) 680 5 ) 241 ___ ___ ___ If the remainder is Color the shape 1 or 2 pink 3 or 4 red 5 or 6 green 7 or 8 yellow Fill in the other shapes with colors of your choice. Write a division problem with a one-digit divisor, a three-digit dividend, and a remainder of 8. 29 Name __________________________________________________ DIVISION Three Digits ÷ Two Digits MAYA Goddess ___ 12 ) 372 __8 _ __729 27 ___ __ 29 16 ) 544 ) 45 ) 667 33 ) 85 _ ) 85 __ 5 ___ 11 ) 671 ___ __ 13 ) 819 ___ 24 ) 432 __ ___ 18 ) 504 16 ) 320 ___ 15 ) 450 __ 31 ) 992 __ 17 ) 612 ___ 14 ) 714 ___ ___ 13 ) 325 31 ) 868 r in Tease Bra Solve the problems. 30 If the quotient is between Color the shape 1 and 30 yellow 31 and 99 blue Fill in the other shapes with colors of your choice. Write two different division problems that each have a two-digit divisor, threedigit dividend, and have the same quotient. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 21 ) 882 Name __________________________________________________ NORTH AFRICA DIVISION Three Digits ÷ Two Digits With Remainder Colorful Tiles ___ ___ 27 ) 714 ___ ___ ___ 37 ) 441 18 ) 400 41 ) 623 ___ ___ ___ 34 ) 730 24 ) 805 21 ) 967 ___ ___ ___ 19 ) 259 28 ) 399 36 ) 992 ___ 39 ) 730 ___ 41 ) 668 ___ 22 ) 428 ___ 25 ) 452 Solve the problems. If the remainder is between Color the shape 1 and 5 red 6 and 10 blue 11 and 15 yellow 16 and 35 green Fill in the other shapes with colors of your choice. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources ___ 12 ) 872 23 ) 671 Write a division problem with a remainder equal to your age. 31 Name __________________________________________________ FRACTIONS Equivalent Fractions PASSAMAQUODDY Thunderbird Mountain _7_ = __ 64 8 _1_ = _4_ _3_ = __ 4 2 20 __ _9_ = 27 _2_ = __ 2 3 _6_ = __ _2_ = __ 7 5 20 9 5 7 18 49 _1_ = __ _7_ = __ __ _6_ = 36 14 _8_ = __ _1_ = _2_ _6_ = __ 11 1 _2_ = __ 6 8 2 8 40 16 _5_ = __ 4 12 _3_ = __ __ _8_ = 24 7 1 21 _4_ = __ 1 2 _2_ = __ _2_ = _6_ 9 3 12 8 6 56 _3_ = __ _3_ = __ _4_ = __ 7 _1_ = __ _1_ = __ 24 8 14 4 40 _8_ = __ _3_ = _15_ 4 _3_ = __ 15 45 _2_ = __ 9 18 _2_ = __ 24 5 25 _3_ = __ 81 9 36 12 _1_ = __ 7 96 _5_ = __ 63 6 12 Solve the problems. _1_ = __ 9 81 _4_ = __ 11 33 r in Tease Bra 32 If the answer is between Color the shape 1 and 10 red 11 and 20 gray 21 and 80 black Fill in the other shapes with colors of your choice. Write three fractions that are equivalent to two-thirds. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources _5_ = __ 27 Name __________________________________________________ FRACTIONS Rename in Lowest Terms INCA Festive Mask _5_ = 10 _3_ = 33 __ _6_ = 20 _4_ = 50 _4_ = 40 __ _2_ = __ 18 _4_ = 30 __ __ _7_ = 49 __ __ _8_ = 10 __ __ _4_ 8 _3_ = 9 = __ __ _5_ = 95 __ _9_ = 45 __ _7_ = 42 __ 16 _4_ = __ 14 __ _16_ = 64 __ _4_ = 26 __ _9_ = 39 __ _4_ = 44 __ _6_ = 46 __ _8_ = 84 __ _14_ = 91 __ in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources _10_ = _6_ = 64 __ Rename in lowest terms. If the denominator is between Color the shape 0 and 5 purple 6 and 10 yellow 11 and 18 blue 19 and 40 red Fill in the other shapes with colors of your choice. Write a fraction that is equivalent to one-eighth when renamed in lowest terms. 33 Name __________________________________________________ FRACTIONS Improper Fractions to Mixed Numbers P E N N S Y LVA N I A D U T C H Spring Morning _14_ = 12 9 _15_ = __ _21_ = 7 7 _18_ = __ 5 _8_ = 2 __ __ __ 36 __ = 10 __ _13_ = 4 __ _12_ = 20 __ = 8 __ 5 33 __ = __ 7 __ 22 __ = 5 __ 28 __ = 8 __ 26 __ = 8 __ 49 __ = 11 __ 27 __ = 9 __ 22 __ = 6 __ _18_ = 7 20 __ = 9 __ __ _5_ = 3 __ Rename in lowest terms. r in Tease Bra 34 If the new number is Color the shape greater than 0 but less than 2 pink greater than or equal to 2 but less than 3 light blue greater than or equal to 3 but less than 4 yellow greater than or equal to 4 but less than 5 light green Fill in the other shapes with colors of your choice. Write three improper fractions that each equal the mixed 1 number 1 __ 2. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources _18_ = __ Name __________________________________________________ FRACTIONS Mixed Numbers to Improper Fractions TIBET Palace Steps 8 _41_ = __ 9 _41_ = __ 1 _45_ = __ 3 _41_ = __ 6 _2_ = 3 __ 4 _23_ = __ 4 _34_ = __ 7 _41_ = __ 1 _35_ = __ 6 _21_ = __ 4 _25_ = __ 8 _21_ = __ 1 _59_ = __ 8 _31_ = __ 3 _57_ = __ 2 3 _23_ = __ 5 _5_ = __ 2 _51_ = __ 1 _81_ = __ 6 _71_ = __ 7 _56_ = __ Change each mixed number to an improper fraction. If the numerator is between in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 2 _71_ = __ 2 _41_ = __ 1 _23_ = __ Color the shape 1 and 15 blue 16 and 30 orange 31 and 60 purple Fill in the other shapes with colors of your choice. Write three mixed numbers. Then write each mixed number as an improper fraction. 35 Name __________________________________________________ FRACTIONS Addition With Like Denominators CHINA Circle of Rectangles 1 __ 4 1 __ 8 5 + __ 8 ____ 4 5 ___ + ___ = 12 12 2 __ 8 8 __ 16 2 + __ 16 ____ 5 1 __ 20 + __ 8 ____ 5 __ 15 5 + __ 15 ____ 2 1 ___ + ___ = 21 21 4 + __ 20 ____ 1 4 ___ + ___ = 12 12 4 5 ___ + ___ = 16 16 7 3 ___ + ___ = 16 16 20 5 ___ + ___ = 100 100 3 7 ___ + ___ = 70 70 15 3 ___ + ___ = 32 32 5 3 ___ + ___ = 18 18 7 8 ___ + ___ = 24 24 1 1 ___ + ___ = 10 10 1 __ 8 1 + __ 8 ____ 1 __ 9 2 + __ 9 ____ 12 __ 36 4 + __ 36 ____ 20 __ 24 1 + __ 24 ____ 20 __ 50 5 + __ 50 ____ 3 __ 8 2 + __ 8 ____ 1 1 ___ + ___ = 3 3 7 __ 27 5 + __ 27 ____ Solve the problems. Rename in lowest terms. 3 __ 12 2 2 __ + __ = 16 16 3 + __ 12 ____ r in Tease Bra If the sum is 1 __ 1 __ 1 __ 1 1 __ or __ 2, 3, 4, 5, 7 7 __ 5 __ 7 __ 5 9 __ or __ 8, 8, 8, 8, 16 3 __ 2 __ 4 5 __ __ 4 , 3 , 9 , or 12 36 Color the shape blue yellow pink Use fractions to write an addition problem that has a sum less 1 __ than 2 . Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 3 1 __ + __ = 8 8 1 + __ 4 ____ Name __________________________________________________ GUYANA FRACTIONS Addition With Like Denominators Geometric Pattern 1 2 ___ + ___ = 8 8 3 2 ___ + ___ = 9 9 3 3 ___ + ___ = 12 12 2 5 ___ + ___ = 9 9 1 1 ___ + ___ = 6 6 3 6 ___ + ___ = 20 20 5 3 ___ + ___ = 17 17 3 9 ___ + ___ = 18 18 1 1 ___ + ___ = 8 8 Solve the problems. Rename in lowest terms. If the sum is 1 __ 2 or less greater than 3 2 ___ + ___ = 6 6 1 14 ___ + ___ = 30 30 5 2 ___ + ___ = 7 7 in Tease Bra Color the shape light brown 1 __ 1/2 2 11 4 ___ + ___ = 30 30 r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 1 1 ___ + ___ = 3 3 1 1 ___ + ___ = 4 4 2 2 ___ + ___ = 7 7 dark orange Fill in the other shapes with colors of your choice. Use fractions to write an addition problem that has a sum of 1. 37 Name __________________________________________________ FRACTIONS Addition With Unlike Denominators CHINA Palace Window 3 ___ 8 7 + ___ 16 _____ 1 __ 3 2 + __ 21 ____ 1 __ 9 1 + __ 6 ____ 5 1 __ + __ = 6 3 1 __ 4 1 + __ 7 ____ 1 __ 15 1 + __ 5 ____ 3 ___ 8 1 + ___ 2 _____ 2 ___ 7 1 + ___ 3 _____ 1 ___ 4 5 + ___ 8 _____ 2 ___ 9 1 + ___ 2 _____ 3 ___ 14 3 + ___ 7 _____ Solve the problems. r in Tease Bra If the sum is 1 __ 2 or less 1 __ 38 Color the shape red greater than 2 and less than 1 green 1 or greater yellow Fill in the other shapes with colors of your choice. Use fractions to write an addition problem with unlike denominators that has a sum less than 1. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 4 ___ 7 4 + ___ 21 _____ 2 ___ 3 1 + ___ 9 _____ Name __________________________________________________ FRACTIONS Addition With Unlike Denominators INDIA Tile Floor 5 ___ 6 3 + ___ 2 ______ 7 ___ 3 4 + ___ 5 ______ 2 ___ 3 5 + ___ 6 ______ 7 ___ 8 1 + ___ 2 ______ 5 ___ 4 9 + ___ 8 ______ 3 ___ 4 11 + ___ 12 ______ 2 ___ 3 8 + ___ 9 ______ 6 ___ 5 17 + ___ 10 ______ 5 ___ 3 3 + ___ 4 ______ 11 ___ 6 4 + ___ 3 ______ On each line write the name of a color that you like. Then find each sum. Rename in lowest terms. If the sum is Color the shape less than 2 _______________________ 2 or greater _______________________ Fill in the other shapes with colors of your choice. 5 ___ 2 5 + ___ 4 ______ in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 9 ___ 2 3 + ___ 4 ______ 4 ___ 5 13 + ___ 10 ______ Find two identical fractions with 1 the sum of 1 __ 2. 39 Name __________________________________________________ FRACTIONS Addition With Mixed Numbers IRELAND Red and Black Puzzle 3_ 2 __ 7 + 1_ 2 __ 2 ______ 3_ + __ 3 __ 5 1_ = 5 2 5_ 1 __ 8 4_ 2 __ 5 9 + 3 ___ 16 ______ 5 + 2 ___ 6 ______ 1_ __ 2 2_ 3 __ 3 1 + 3 ___ 4 ______ 1 + 1 ___ 9 ______ 2_ 1 __ 7 + 1_ 3 __ 4 ______ 3_ + __ 3 __ 1 5_ = 5 6 1_ 4 __ 7 2_ = 4 __1_ + 2 __ 7 5 5_ 1 __ 6 1_ __ 4 ______ 6_ 1 __ 7 2 + 2 ___ 3 ______ 7_ 3 __ 8 + 3_ __ 14 ______ 1 + 1 ___ 2 ______ 9_ 5 __ 10 + ______ 1_ 4 __ 4 ______ 7 5_ 1 __ 9 + 1_ 2 __ 12 ______ in Tease Bra Circle each digit in the box that could replace X in the addition problem so the sum will be greater than or equal to 5. r Solve the problems. If the sum is greater than Color the shape 0 but less than 5 red 5 but less than 10 black Fill in the other shapes with colors of your choice. 40 7 1_ 5 __ 6 1_ 1 __ 4 + 2_ + __ 2 __ 2 6_ = 1 2 3 4 5 6 7 X_ 1 __ 8 + 1_ 3 __ 4 ______ Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources + Name __________________________________________________ FRACTIONS Subtraction With Like Denominators DENMARK Pinwheel Star 11_ __ 13 2 – ___ 13 ______ 9_ __ 10 1 – ___ 10 ______ 18_ __ 20 13 – ___ ___20 ___ 9 ___ 10 3 – ___ ___10 ___ 11 ___ 12 5 – ___ ____12__ 11_ __ 12 3 – ___ 12 ______ 5 ___ 8 3 – ___ 8 ______ 9_ __ 12 8 – ___ 12 ______ 17_ __ 18 1 – ___ 18 ______ 4 ___ 5 1 _ __ – ____5__ _17 __ 18 7 – ___ ___18 ___ 9 ___ 10 6 – ___ ____10__ 7 ___ 8 2 – ___ ____8__ 18_ __ 20 3 – ___ 20 ______ 8_ __ 10 3 – ___ 10 ______ 15_ __ 16 3 – ___ 16 ______ 9_ __ 16 3 – ___ 16 ______ in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 14_ __ 15 9 – ___ 15 ______ 9_ __ 8 5 – ___ 8 ______ Solve the problems. Rename in lowest terms. If the difference is 1 __ 2 or less Color the shape pink 1 __ greater than 1/2 2 black Fill in the other shapes with colors of your choice. Use fractions with common denominators to write a subtraction problem with a 1 __ difference less than 2 . 41 Name __________________________________________________ FRACTIONS Subtraction With Unlike Denominators AZTEC Wall Decoration 9_ __ 10 3 – ___ 20 ______ 8_ __ 15 1 – ___ 3 ______ 13_ __ 21 1 – ___ 3 ______ 7_ __ 10 1 – ___ 2 ______ 28_ __ 30 5 – ___ 15 ______ 16_ __ 21 3 – ___ 7 ______ 7_ __ 10 1 – ___ 5 ______ 5_ __ 6 1 – ___ 3 ______ 2_ __ 3 5 – ___ 12 ______ 17_ __ 20 1 – ___ 4 ______ 13_ __ 15 2 – ___ 3 ______ 4_ __ 5 3 – ___ 15 ______ 7_ __ 9 1 – ___ 3 ______ 11_ __ 30 1 – ___ 5 ______ Solve the problems. Rename in lowest terms. 5_ __ 8 1 – ___ 4 ______ r in Tease Bra If the difference is 1 __ 1 1 __ or __ 2, 3, 4 3 __ 3 __ 3 __ 4 1 __ or __ 4, 4, 5, 9, 5 1 __ 2 3 __ or __ 6, 7, 8 42 Color the shape dark orange tan green Fill in the other shapes with colors of your choice. Using fractions with unlike denominators, write a subtraction word problem. Include the answer. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 5_ __ 6 2 – ___ 3 ______ Name __________________________________________________ FRACTIONS Subtraction With Mixed Numbers TUNISIA Octagon Mosaic 4_ – __ 4 __ 2 2_ = 7_ – __ 1_ = 3 __ 1_ = 2 __1_ – 1 __ 5_ – __ 9 __ 9 2_ = 8_ – __ 3 __ 1 5_ = 5_ – __ 6 __ 4 1_ = 5_ – __ 4 __ 4 4_ = 2_ – __ 5 __ 4 1_ = 3_ – __ 7 __ 6 1_ = 13_ – __ 4 __ 2 7_ = 3_ – __ 1_ = 5 __ 11_ – __ 2 __ 2 7_ = 3_ – __ 10 __ 2 1_ = 9_ – __ 5 __ 2 7_ = 5 9 5 9 2_ – __ 2 __ 1 1_ = 3 2_ – __ 6 __ 5 1_ = 5 5 6 10 12 8 6 10 12 5 9 15 4 5 9 15 4 Find each sum. Rename in lowest terms. If the sum is Color the shape less than 2 purple 2 or greater yellow Fill in the other shapes with colors of your choice. 7 7 3 5 10 3 5 10 in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 3 8 Identify the missing fraction. ? 1 8 3 __ – 1 __ = 2 __ ? 3 9 43 Name __________________________________________________ FRACTIONS Subtraction With Mixed Numbers L AT V I A Square Tablecloth 5_ – __ 14 __ 5 2_ = 7_ 11 __ 8 – 7 5_ = 19 __1_ – 2 __ 14 3 3_ 8 __ 8 8 1_ 9 __ 4 ______ – 3_ 4 __ 4 ______ 1_ = 13 __1_ – 6 __ 3 6 3_ 8 __ 5 1_ 9 __ 10 3_ __ 5 ______ 1_ 3 __ 4 ______ – 1_ 9 __ 4 3_ 15 __ 8 – 1_ 3 __ 4 ______ – 3_ 9 __ 4 6_ 5 __ 8 ______ – 1_ __ 8 ______ 7_ 5 __ 8 – 1_ 8 __ 6 14_ 1 __ 16 ______ – 3_ __ 4 ______ 8_ – __ 7 __ 2 1_ = 15 5 3_ 4 __ 8 2_ 12 __ 7 – 1_ 9 __ 14 ______ 5_ – 10 __ 9 2_ = 1 __ 7 2_ – 17 __ 3 1_ = 8 __ 4 44 If the answer is Color the shape greater than 0 but less than 4 _________________ greater than or equal to 4 but less than 9 _________________ greater than or equal to 9 but less than 20 _________________ Fill in the other shapes with colors of your choice. 7_ __ 16 ______ in Tease Bra r On each line write the name of a color that you like. Then find each difference. Rename in lowest terms. – Fill in the missing mixed number. 1 5 __ – 8 __ 3 = 3 12 Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources – Name __________________________________________________ FRACTIONS Whole Numbers x Fractions PUEBLO Sacred Circle 1_ = 3 x __ 4 7_ = 4 x __ 9 5_ = 5 x __ 6 1_ = 7 x __ 9 1_ = 9 x __ 5_ = 3 x __ 4 3 3 2_ = 1_ = 8 x __ 6 x __ 3 5 9 5_ = 5 x __ 2_ = 6 x __ 2_ = 2 x __ 5 4 12 2_ = 7 x __ 5_ = 3 x __ 2_ = 4 x __ 9 1_ = 6 x __ 8 3_ = 7 x __ 7_ = 5_ = 4 x __ 3 x __ 3 6 5_ = 7 x __ 6 2_ = 5 x __ 3 3_ = 4 x __ 15 Solve the problems. Rename in lowest terms. If the product is Color the shape greater than 0 but less than 1 red greater than 1 but less than 2 blue greater than 2 but less than 3 yellow greater than 3 brown Fill in the other shapes with colors of your choice. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 4 Describe in your own words how to find the product of a whole number and a fraction. 45 Name __________________________________________________ FRACTIONS Fractions x Fractions SWEDEN Twirling Pinwheel 3_ x __ 8_ = __ 4 2 9_ x __ 8_ = __ 4 3 6_ x __ 9_ = __ 7 3 _4_ 11_ x __ 5_ = __ 2 2 = _2_ 8 x 3_ x __ 9_ = __ 4 3 2 8_ x __ 8_ = __ 7 1 2_ x __ 6_ = __ 9 5 7_ x __ 7_ = __ 5 4 6_ x __ 6_ = __ 5 1 4 _2_ x _3_ 7 = 4_ x __ 6_ = __ 1 5 9_ x __ 7_ = __ 5 2 6_ x __ 7_ = __ 2 9 6_ x __ 7_ = __ 5 2 5 _2_ 8_ x __ 9_ = __ 3 2 7 __1 x 4 _3_ = 6_ x __ 7_ = __ 1 3 6_ = 7_ x __ __ 3 3 1_ x __ 1_ = __ 9 7 4_ x __ 2_ = 9_ x __ 8_ = __ __ 1 3 3 3 2_ = 7_ x __ __ 6 2 4_ = 8_ x __ __ 5 3 = _9_ 4 7_ x __ 7_ = __ 2 2 6_ = 9_ x __ __ 5 5 5_ = 9_ x __ __ 2 3 9_ x __ 6_ = __ 7 1 If the product is Color the shape greater than 0 or less than 1 black greater than 1 or less than 5 yellow greater than 5 green Fill in the other shapes with colors of your choice. in Tease Bra r Solve the problems. Rename in lowest terms. 46 x _6_ 7 7_ x __ 6_ = __ 3 4 1_ x __ 4_ = __ 8 7 7_ x __ 8_ = __ 2 2 x _6 _ 7 = 7_ x __ 5_ = __ 3 2 Use fractions to write a multiplication problem with 1 the product 7 __ 2. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources _8_ = x _7_ 9 1 = _9_ 1 2_ x __ 6_ = __ 7 1 8_ x __ 4_ = __ 3 2 x _6_ 5 3_ x __ 4_ = __ 1 9 4_ x __ 5_ = __ 3 9 10_ x __ 7_ = __ 3 2 Name __________________________________________________ FRACTIONS Mixed Numbers x Whole Numbers ENGLAND Elizabethan Bells 4_ x 3 __ 7 1_ x 4 = 3 __ 3 5_ x 5 = 2 __ 8 5 = 4_ x 6 = 2 __ 5 3_ x 3 = 2 __ 4 1_ x 5 __ 2 1_ x 3 = 1 __ 4 2 = 1_ x 3 = 1 __ 2 1_ x 2 = 6 __ 5 1_ x 2 = 3 __ 6 1_ x 1 __ 8 1_ x 2 = 2 __ 5 3 = 1_ x 2 = 7 __ 8 2_ x 2 = 4 __ 3 2_ x 3 = 6 __ 3 1_ x 3 = 4 __ 9 1_ x 2 = 6 __ 4 Solve the problems. Rename in lowest terms. If the product is between Color the shape 0 and 5 blue 6 and 10 purple 11 and 15 green 16 and 20 yellow Fill in the other shapes with colors of your choice. 8_ x 9 = 1 __ 9 in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 1_ x 3 = 2 __ 7 2_ x 3 = 4 __ 3 If 8 students each 1 had 4 __ cups of 2 cider, how much did they have in all? 47 Name __________________________________________________ FRACTIONS Mixed Numbers x Mixed Numbers PERSIAN Nine Stars 3 5 1_ = 6 __1_ x 1 __ 4 2 1_ = 2 __1_ x 2 __ 3 1_ = 1 __1_ x 1 __ 1_ = 5 __1_ x 2 __ 2_ x __ 3 __ 1 1_ = 1_ = 1 __1_ x 2 __ 1_ = 4 __1_ x 2 __ 3_ x __ 1 __ 3 1_ = 2 2 3 6 6 3 2 2 7 If the product is Color the shape greater than 0 and less than 4 _________________ 4 or greater and less than 6 _________________ 6 or greater and less than 15 _________________ Fill in the other shapes with colors of your choice. 5 2 4 in Tease Bra r One each line write the name of a color that you like. Then find each product. Rename in lowest terms. 48 2 Use mixed fractions to write a multiplication problem with a product less than 5. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 2_ = 1 __1_ x 2 __ Name __________________________________________________ FRACTIONS Whole Numbers ÷ Fractions HOPI Winged Warrior 4_ = 3 ÷ __ 7 2_ = 1 ÷ __ 3 2÷ 8 4÷ 7 _7_ _5_ 1_ = 6 ÷ __ 2_ = 4 ÷ __ 3 9 1_ = 2 ÷ __ 5_ = 1 ÷ __ 6 8 2_ = 3 ÷ __ = 9 1_ = 4 ÷ __ = 4_ = 5 ÷ __ 3 3 = _4_ 5 ÷ 4÷ 7 2÷ 1_ = 6 ÷ __ 1_ = 3 ÷ __ 2 7 5 = 1_0_ 1 ÷ 1 = _1_ 2 ÷ 4 2 3 _4_ _1_ = = 2_ = 6 ÷ __ 3 3_ = __ ÷ 4 5 5 5_ = 8 ÷ __ 6 Solve the problems. Rename in lowest terms. If the quotient is Color the shape greater than 0 and less than 6 red greater than 6 and less than 10 tan greater than 10 and less than 15 gray greater than 15 and less than 25 black Fill in the other shapes with colors of your choice. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 2_ = 1 ÷ __ 6_ = 2 ÷ __ 2_ = 5 ÷ __ 4_ = 7 ÷ __ 4 10 = _8_ 9 ÷ 9 3_ = 6 ÷ __ 4 7 6 7_ = 2 ÷ __ 8 3_ = 2 ÷ __ Use a whole number and a fraction to write a division problem with a whole number quotient. 49 Name __________________________________________________ FRACTIONS Fractions ÷ Whole Numbers FRANCE Fractured Crystal 7_ ÷ __ 8 5 = 1_ ÷ __ 3 3_ ÷ __ 4 4 = 1_ ÷ __ 9 3 7 = = 6_ ÷ __ 11 5 = 4_ ÷ __ 5 7_ ÷ __ 8 2 = 3 = 3_ ÷ __ 4 5_ ÷ __ 9 3 = 3_ ÷ __ 8 7 = 6 = 4 = 6_ ÷ __ 7 5 = 4_ ÷ __ 5 10_ ÷ __ 11 2_ ÷ __ 7 4 = 1_ ÷ __ 8 3 = 5_ ÷ __ 6 3 = 4_ ÷ __ 5 9_ ÷ __ 11 4 = 7 = 1_ ÷ __ 2 5_ ÷ __ 6 6_ ÷ __ 8 5 = 9_ ÷ __ 10 2 = 6_ ÷ __ 7 2 = 5 = 2 = 1_ ÷ __ 4 6_ ÷ __ 7 9 = 2 ÷ _8_ 9 3_ ÷ __ 4 = 6_ ÷ __ 7 2 = 3 = 3 = 9 = 8_ ÷ __ 11 2 = 2 = 6_ ÷ __ 7 5 = 3 = r in Tease Bra Solve the problems. 50 If the numerator is Color the shape less than 3 red between 3 and 5 yellow greater than 5 green Fill in the other shapes with colors of your choice. Use a fraction and a whole number to write a fraction division problem 1 __ with the answer 3 . Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 7_ ÷ __ 10 8_ ÷ __ 9 Name __________________________________________________ FRACTIONS Fractions ÷ Fractions P O LY N E S I A N Beautiful Swimmer 1_ ÷ __ 1_ = __ 4 9 4_ ÷ __ 1_ = __ 3 7 9_ ÷ __ 6_ = __ 7 1 9_ ÷ __ 3_ = __ 8 9 3_ ÷ __ 1_ = __ 7 6 1_ ÷ __ 1_ = __ 6 3 2_ ÷ __ 1_ = __ 3 4 _4_ 5 ÷ _2_ 9 = 5_ ÷ __ 1_ = __ 9 3 3_ ÷ __ 1_ = __ 4 2 _4_ 3 ÷ _3_ 8 = 1_ ÷ __ 3_ = __ 2 4 1_ ÷ __ 3_ = __ 7 2 1_ ÷ __ 1_ = __ 3 7 2_ ÷ __ 1_ = __ 9 8 3_ ÷ __ 2_ = __ 8 9 1_ ÷ __ 2_ = __ 6 7 Solve the problems. Rename in lowest terms. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 4_ ÷ __ 1_ = __ 5 2 6_ ÷ __ 9_ = __ 7 2 6_ ÷ __ 1_ = __ 7 3 If the quotient is Color the shape less than 1 gray greater than 1 but less than 2 black Write the next three numbers in the sequence. greater than 2 but less than 3 green 2 __ 1 __ 4 __ 8 __ 16 __ 3 , 3, 3 , 3, 3 , greater than 3 but less than 4 purple ___ , ___ , ___ greater than 4 blue Fill in the other shapes with colors of your choice. 51 Name __________________________________________________ FRACTIONS Mixed Numbers ÷ Mixed Numbers GHANA Kente Cloth 3_ ÷ __ 4 __ 2 1_ = 1_ ÷ __ 2 __ 2 5_ = 8 8 9 5_ ÷ __ 4 __ 3 1_ = 3 6 3 9 4_ ÷ __ 1 __ 1 1_ = 4_ ÷ __ 6 __ 2 1_ = 5 3 9 2 3 2_ ÷ __ 2 __ 4 2_ = 1_ ÷ __ 7 __ 2 1_ = 6 3 2_ ÷ __ 3 __ 2 4_ = 1_ = 2 __ 2 4_ ÷ __ 2 __ 2 1_ = 5 3 If the quotient is Color the shape less than 2 _______________________ 2 or greater _______________________ Fill in the other shapes with colors of your choice. 3 in Tease Bra r On each line write the name of a color that you like. Then find each quotient. Rename in lowest terms. 52 2 2_ ÷ __ 5 __ 1 1_ = 8 1_ ÷ 8 __ 8 9 1_ ÷ __ 1 __ 3 1_ = 8 Use mixed numbers to write a division problem with a quotient less than 1. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 4 Name __________________________________________________ DECIMALS Addition PAPAGO Father Sun 13.9 +______ 7.2 10.3 28.4 +______ 4.6 +______ 2.5 9.9 +______ 9.8 66.4 +______ 33.7 3.8 +______ 9.5 7.9 +______ 8.2 0.5 +______ 8.9 2.6 +______ 19.7 10.6 +______ 10.6 17.4 +______ 54.8 in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 7.8 +______ 1.3 Solve the problems. If the sum is between Color the shape 1 and 10 light blue 11 and 20 orange 21 and 110 green Fill in the other shapes with colors of your choice. Alicia's ribbon is 22.8 meters long. She needs 30 meters of ribbon for a craft project. To have enough ribbon for the project, should she buy 7 or 8 more meters of ribbon? Explain. 53 Name __________________________________________________ DECIMALS Addition With Money PIMA Ceremonial Bowl + .99 $5 = .34 58 $13 .80 + $17.60 + 30.63 ______ __ $9 .17 + 5= 4.9 + .13 $6 7.5 5= $12.75 + 27.25 ______ __ $16.99 + 32.81 ______ __ $1 1.56 + 19.59 ______ __ $4 .76 + $6 9.4 1+ 5= 2.0 + .45 $3 9.5 6= $13.15 + 8.83 ______ __ 5.5 8= 8 4.8 $3 9= 9.9 3 + in Tease Bra r Solve the problems. If the sum is Color the shape between $0 and $20.00 turquoise between $21 and $50.00 gray between $51 and $75.00 black between $76 and $100.00 yellow Fill in the other shapes with colors of your choice. Alan wants to buy a basketball for $46.87 and a pair of socks for $3.98. How much will these items cost in all? Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources $3.99 + 2.95 = $56.09 22.90 + ______ __ $33.18 + 29.46 = $2.46 + 3.59 = $33.32 + 37.18 = $35.68 + 12.32 ______ __ 54 45 .20 = Name __________________________________________________ DECIMALS Subtraction HOPI Sun Bird 96.8 – 8.2 = 20.6 – 9.7 = 9.3 – 1.9 ____ 98.2 –_____ 10.7 3.4 – 1.9 ____ 96.1 –_____ 7.2 8.7 – 2.9 ____ 5.7 8.8 – 2.3 ____ 56.4 –_____ 13.7 52.4 –_____ 17.9 87.2 –_____ 19.5 91.8 –_____ 21.1 9.8 9.5 – 0.9 ____ 7.4 –____ 1.6 5.1 – 1.9 ____ – 1.1 ____ 8.9 9.3 – 1.2 _____ – 1.6 _____ 99.5 –_____ 12.9 4.4 – 2.7 ____ 84.2 –_____ 1.8 Solve the problems. If the difference is between Color the shape 1 and 6 purple 7 and 30 orange 31 and 80 dark blue 81 and greater light blue Fill in the other shapes with colors of your choice. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 9.1 – 4.6 ____ – 3.3 ____ Write a decimal problem with the difference 34. 55 Name __________________________________________________ DECIMALS Subtraction With Money FRANCE Friendship Knots $43.09 – 10.45 = $99.90 – 76.91 = $89.99 – 38.63 ______ __ $87.09 – 50.00 = $76.00 – 27.98 = $77.68 – 21.69 ______ __ $37.12 – 18.09 = $44.80 – 12.56 = $76.15 – 52.15 = $44.80 – 37.56 = $69.23 – 46.89 = $13.17 – 9.29 = $65.34 – 19.77 = $65.83 – 22.76 = $78.12 – 29.16 = $67.98 – 43.96 = $54.90 – 13.09 = $35.34 – 18.77 = $70.87 – 12.89 ______ __ $87.10 – 44.98 = $45.77 – 10.67 = r If the difference is between $47.91 – 25.96 = in Tease Bra Solve the problems. 56 $67.42 – 12.76 ______ __ Color the shape $0 and $25.00 purple $26.00 and $50.00 pink $51.00 and $100.00 yellow Fill in the other shapes with colors of your choice. Mavis has $39.00. Will she have enough money to buy and umbrella for $18.98 and a pair of gloves for $19.99? Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources $22.98 – 6.89 = $13.60 – 4.16 = $98.90 – 68.44 = $68.09 – 12.40 ______ __ $75.13 – 51.99 = $38.15 – 11.16 = Name __________________________________________________ DECIMALS Decimals x Whole Numbers ENGLAND London Garden 98.1 75.8 x 8 _____ x 7 _____ 56.22 x 7 _____ 6.54 28.1 x 9 _____ x 7 _____ 50.9 92.01 x 8 _____ x 8 _____ 90.6 49.3 x 9 _____ x 3 _____ 77.55 x 9 _____ 26.3 x 4 _____ 71.99 x 7 _____ 88.5 89.56 x 7 _____ 73.3 x 8 _____ 5.9 0.32 x 9 _____ x 6 _____ 66.8 x 4 _____ 92.2 69.8 x 7 _____ x 9 _____ in Tease Bra Solve the problems. r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources x 8 _____ 53.1 x 6 _____ If the product is between Color the shape 0 and 200 purple 201 and 400 pink 401 and 600 yellow 601 and 1000 light blue Fill in the other shapes with colors of your choice. When multiplying a decimal by a whole number, how do you decide where to put the decimal point in the product? 57 Name __________________________________________________ DECIMALS Decimals x Decimals NEW MEXICO Interlocking Shapes 87.2 x 7.9 = 93.2 x 9.5 = 99.6 x 8.7 = 3.19 x 4.8 = 63.9 x 4.5 = 9.07 x 8.6 = 78.4 x 3.7 = 29.7 x 3.2 = 8.9 x 57.8 = 25.9 x 9.9 = 10.7 x 6.3 = 59.8 x 5.2 = 9.7 x 8.6 = 8.8 x 3.7 = 90.8 x 9.3 = 26.7 x 9.6 = 88.5 x 6.2 = Solve the problems. 91.62 x 8.3 = r in Tease Bra 58 If the product is between Color the shape 1 and 250 light blue 251 and 500 yellow 501 and 900 orange Fill in the other shapes with colors of your choice. Identify the missing factor. ____ x 5.6 = 110.88 Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 62.4 x 5.6 = 89.6 x 8.7 = Name __________________________________________________ DECIMALS Decimals ÷ Whole Numbers EGYPT Circles Everywhere 33.8 ÷ 13 = 27.2 ÷ 17 = 74.8 ÷ 11 = 108.3 ÷ 19 = 25.2 ÷ 9 = 99.2 ÷ 16 = 69.3 ÷ 21 = 39.6 ÷ 22 = 60.8 ÷ 16 = 62.3 ÷ 7 = 34.2 ÷ 18 = 8.1 ÷ 3 = Solve the problems. in Tease Bra r Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 34.8 ÷ 12 = If the quotient is Color the shape greater than 0 and less than 3 red greater than 3 and less than 6 purple greater than 6 pink Fill in the other shapes with colors of your choice. Elize has 5.4 ounces of peanuts. If she evenly divides it among three people, how much will each person get? 59 Name __________________________________________________ DECIMALS Decimals ÷ Decimals L AT V I A Kitchen Tile 99.12 ÷ 16.8 = 25.22 ÷ 9.7 = 35.91 ÷ 18.9 = 47.88 ÷ 12.6 = 101.97 ÷ 10.3 = 59.28 ÷ 15.2 = 118.56 ÷ 15.2 = 109.76 ÷ 9.8 = 117.6 ÷ 11.2 = in Tease Bra 60 r Solve the problems. If the quotient is Color the shape greater than 0 but less than 5 yellow greater than 5 blue Fill in the other shapes with colors of your choice. Using decimals, write a division problem with a quotient greater than 10. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources 180.11 ÷ 21.7 = 117.45 ÷ 8.7 = 39.1 ÷ 8.5 = 165.06 ÷ 13.1 = Name __________________________________________________ C R E AT E - A - D E S I G N Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources Create a math design like the ones in this book by following these simple directions. 1. Place a math problem inside each shape in the design below. 2. Fill in the missing information in the key. 3. Give the worksheet to a friend to solve and color. KEY Solve the problems. If the answer is between Color the shape _______________________ _______________________ _______________________ _______________________ Page 62 _______________________ _______________________ _______________________ _______________________ Fill in the other shapes with colors of your choice. 61 Name __________________________________________________ C R E AT E - A - D E S I G N KEY 62 Solve the problems. If the answer is between Color the shape _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ Fill in the other shapes with colors of your choice. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources Create a math design like the ones in this book by following these simple directions. 1. Place a math problem inside each shape in the design below. 2. Fill in the missing information in the key. 3. Give the worksheet to a friend to solve and color. Name __________________________________________________ C R E AT E - A - D E S I G N Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources Create a math design like the ones in this book by following these simple directions. 1. Place a math problem inside each shape in the design you draw below. 2. Fill in the missing information in the key. 3. Give the worksheet to a friend to solve and color. KEY Solve the problems. If the answer is between Color the shape _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ _______________________ Fill in the other shapes with colors of your choice. 63 Page 6: Answers will vary. Example: 108, 400, 286, 755. Page 7: 10, 20, 30 Page 28: No, it is not possible to have a remainder greater than the divisor. Page 29: The dividends will vary, but the divisor is 9. Example: 341 ÷ 9 = 37 R8. Page 8: 30, 60 Page 30: Answers will vary. Example: 156 ÷ 12 = 13; 286 ÷ 22 = 13. Page 9: Answers will vary. If a student is 11 years old, the number is 10,011. Page 31: Answers will vary. Example: 496 ÷ 27 = 18 R10. Page 10: 99,999,999 Page 32: Answers will vary. Example: 4/6, 6/9, and 8/12. Page 11: 22,900,000,045 Page 12: 99.04 Page 13: 45.092; 45.052 Page 14: 50 marbles Page 15: 118 points Page 16: 3652 Page 17: Answers will vary. Example: 678 – 549 = 200 estimated difference. Page 18: 955 – 124 = 831 Page 19: 99,999 – 10,000 = 89,999 Page 20: Answers will vary. Example: 6 x 8, 8 x 6, 12 x 4 Page 21: Answers will vary. Example: 104 x 3 = 312; 52 x 6 =312. Page 22: 900 Page 23: 91 x 82 or 82 x 91 Page 24: Answers will vary. Example: 111 x 11 = 1221. Page 25: 12 ÷ 6 = 2; 18 ÷ 9 = 2; 24 ÷ 12 = 2 Page 26: Answers will vary. Example: 24 ÷ 2 = 12; 36 ÷ 3 = 12; 48 ÷ 4 = 12. Page 27: X = 6; Y = 9 64 Page 33: Answers will vary. Example: 3/24 = 1/8. Page 34: Answers will vary. Example: 3/2, 6/4, 15/10. Page 35: Answers will vary. Example: 1 3/4 = 7/4; 4 5/6 = 29/6; 2 1/9 = 19/9. Page 36: Answers will vary. Example: 1/8 + 2/8 = 3/8. Page 37: Answers will vary. Example: 5/15 + 10/15 = 15/15 = 1. Page 38: Answers will vary. Example: 5/8 + 1/4 = 7/8. Page 39: Answers will vary. Example: 3/4 + 3/4 = 1 1/2. Page 40: 6; 7 Page 41: Answers will vary. Example: 4/5 – 2/5 = 2/5. Page 42: Answers will vary. Example: Lucas has 3/4 cup of chopped nuts. If he uses 1/3 cup in chicken salad, how much will he have left? He will have 5/12 cups left. Page 43: 5/9 Page 44: 11 3/4 Page 45: Answers will vary. Example: Change the whole number to a fraction. Multiply numerators and denominators. Rename in lowest terms. Page 46: Answers will vary. Example: 3/2 x 5/1 = 15/2 = 7 1/2. Page 47: 36 cups Page 48: Answers will vary. Example: 1 1/6 x 1 2/3 = 1 17/18. Page 49: Answers will vary. Example: 3 ÷ 2/6 = 9. Page 50: Answers will vary. Example: 2/3 ÷ 2. Page 51: 32/3, 64/3, 128/3 Page 52: Answers will vary. Example: 1 1/3 ÷ 1 1/2 = 8/9. Page 53: If Alicia buys 7 meters of ribbon, she will have 29.8 meters in all. This is not enough ribbon. Although Alicia will have ribbon left over, she should buy 8 meters of ribbon. Page 54: $50.85 Page 55: Answers will vary. Example: 71.3 – 37.3 = 34. Page 56: Yes Page 57: Multiply as usual. Then, beginning at the right count over as many decimal places in the product as there are in the decimal factor and place the decimal point there. Page 58: 19.8 Page 59: 1.8 ounces Page 60: Answers will vary. Example: 49.5 ÷ 4.5 = 11. Math Line Designs From Around the World 4–6 © 2008 by Cindi Mitchell, Scholastic Teaching Resources Brain Teaser Answers