0.1 0.1 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources Dazzling Math Line Designs By Cindi Mitchell S C H O L A S T I C PROFESSIONALBOOKS N E W Y O R K • T O R O N T O M E X I C O C I T Y • • L O N D O N N E W D E L H I • A U C K L A N D • H O N G • K O N G S Y D N E Y To my husband, Jim Mitchell, who believed in me before I believed in myself. Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 0.1 1 0.1 Every once in a while you find an editor that is your perfect complement. Her strengths are your exact weaknesses. Deborah Schecter is that editor for me. I would like to extend to her my heartfelt thanks for sharing her many talents to help create a truly “dazzling” book! Scholastic Inc. grants teachers permission to photocopy the activity sheets 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., 555 Broadway, New York, NY 10012. Cover design by Pamela Simmons and Kirsten Berger Interior design by Solutions by Design, Inc. Interior illustrations by Cindi Mitchell ISBN 0-590-00088-8 Copyright © 1999 by Cindi Mitchell All rights reserved. Printed in the U.S.A. Contents 0.1 1 ........................................................5 Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Introduction Skills Math Line Designs to Color .....................8 Soccer Balls (Multiplication: Two Digits x Two Digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Purple Blossoms (Multiplication: Three Digits x One Digit) . . . . . . . . . . . . . . . . . . . . . . . 10 Into the Abyss (Multiplication: Three Digits x Two Digits) . . . . . . . . . . . . . . . . . . . . . . . . 11 Honeycomb (Division: Two Digits ÷ One Digit With Remainder) . . . . . . . . . . . . . . . . . . . . . 12 Flying Carpet (Division: Three Digits ÷ One Digit With No Remainder) . . . . . . . . . . . . . . . 13 Octagon Remainder (Division: Three Digits ÷ One Digit With Remainder) . . . . . . . . . . . . 14 Fourteen Boxes (Division: Three Digits ÷ Two Digits With Remainder) . . . . . . . . . . . . . . . . 15 Spring Flowers (Fractions: Renaming) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Into Infinity (Fractions: Addition With Like Denominators) . . . . . . . . . . . . . . . . . . . . . . . 17 Stained-Glass Octagon (Fractions: Addition With Unlike Denominators) . . . . . . . . . . . . 18 Trefoil (Fractions: Subtraction With Like Denominators) . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Fireworks (Fractions: Subtraction With Unlike Denominators) . . . . . . . . . . . . . . . . . . . . . . 20 Kaleidoscope of Flowers (Decimals: Place Value). . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Dottie’s Quilt (Decimals: Addition) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Lantern Glow (Decimals: Subtraction) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Stars and Stripes (Decimals: Multiplication) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources Picture-Perfect Star (Multiplication: Two Digits x One Digit) Math Line Designs to Create The North Star (Multiplication: Two Digits x One-Digit) . . . . . . . . . . . . . . . . . . . . . . . . . 25 In the Wink of an Eye (Multiplication: Two Digits x Two Digits) . . . . . . . . . . . . . . . . . . . 26 . . . . . . . . . . . . . . . . . . . . . . . . 27 Goose Egg (Multiplication: Three Digits x Two Digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 Mirror Image (Division: Basic Facts) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Whirling Fan (Division: Three Digits ÷ One Digit With No Remainder) . . . . . . . . . . . . . . . 30 Into the Black Hole (Division: Three Digits ÷ One Digit With Remainder). . . . . . . . . . . . . 31 Gift Bow (Division: Three Digits ÷ Two Digits With Remainder) . . . . . . . . . . . . . . . . . . . . . 32 Supernova (Fractions: Equivalent Fractions) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Fly’s Eye (Fractions: Improper Fractions to Mixed Fractions) . . . . . . . . . . . . . . . . . . . . . . . 34 Starburst (Fractions: Addition With Like Denominators) . . . . . . . . . . . . . . . . . . . . . . . . . 35 Weaving Webs (Multiplication: Three Digits x One Digit) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Building in Space (Fractions: Division) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Ring of Stars (Decimals: Comparing) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Decimal Flower (Decimals: Rounding) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Space Satellite (Decimals: Addition) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 Cosmic Blast (Decimals: Decimals ÷ Whole Numbers) . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 Fraction Flippers (Fractions: Multiplication) Math Line Designs to Construct Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources How to Assemble the 3-D Constructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 The Great Pyramid (Multiplication: Basic Facts) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 . . . . . . . . . . . . . . . . . 45 Twirling Top (Multiplication: Two Digits x Two Digits) . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Dodecahedron Blossoms (Multiplication: Three Digits x Two Digits) . . . . . . . . . . . . . . . . 47 Circus Tent (Division: Basic Facts) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Dazzling Jewel (Division: Two Digits ÷ One Digit With Remainder) . . . . . . . . . . . . . . . . . . 49 Bull’s-Eye Box (Division: Three Digits ÷ Two Digits With No Remainder) . . . . . . . . . . . . . . 50 Dawn is Breaking (Division: Averaging) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 Circus Barrel (Fractions: Renaming) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Rolling Hearts (Fractions: Improper Fractions to Mixed or Whole Numbers) . . . . . . . . . . . 53 Checkerboard Fractions (Fractions: Addition With Like Denominators) . . . . . . . . . . . . . 54 Jester’s Cube (Fractions: Subtraction With Unlike Denominators) . . . . . . . . . . . . . . . . . . . 55 Lunar Module (Fractions: Addition of Mixed Fractions) . . . . . . . . . . . . . . . . . . . . . . . . . . 56 Greenhouse Fractions (Fractions: Subtraction of Mixed Numbers With Regrouping) . . . . . 57 Whirling Triangles (Decimals: Place Value ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Bug Box (Decimals: Subtraction) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Queen’s Gem (Decimals: Multiplication) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 King’s Treasure Chest (Division: Decimals ÷ Whole Numbers) . . . . . . . . . . . . . . . . . . . . 61 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 A Tornado of Pentagons (Multiplication: Two Digits x One Digit) 0.1 1 Introduction they start drawing. Tell them to work carefully, as many activities have more answers than problems to be solved. Designs to Construct (pages 42–61) are fun and easy to make. Students complete math problems, then color Queen’s Gem the shapes based on the answers. After coloring the design, students simply cut it out, then fold and tape it together. (Easy assembly how-tos are provided on pages 42 and 43.) For these designs, students need crayons or colored pencils, scissors, and tape. The finished products are colorful threedimensional designs that can be hung on mobiles, used as holiday ornaments, or given as gifts. Note: It’s not necessary for fourth and fifth graders to learn the names for complex geometric shapes. But you will no doubt have some students who want to learn these technical definitions. You’ll find the term for each construction listed on pages 42 and 43. To help you use this book along with your math curriculum, the chart on pages 6 and 7 organizes the activities by skill area and level. You can see at a glance all of the activities that focus on a specific math skill—for example, subtraction of fractions with unlike denominators. Many of the activity pages include a Taking It Further problem. These problems are designed to challenge students by allowing them to apply the math operation used to complete the main design activity. Answers to these problems can be found on pages 62–64. Don’t let students stop with these activities. Invite them to create their own designs for their classmates to color, create, and construct! Name _______________________________________________________ Multiplication A 81.2 12 1 + 1 9 3 3 + 1 7 3 5 + 1 7 6 2 + 2 11 3 1 + 2 8 5 1 + 1 15 3 1 + 1 7 5 4 +1 9 3 1 + 2 6 5 1 +2 9 3 Solve the problems. Then rename the answers in lowest terms. or greater, color the shape green. If the answer is If the answer is less than , color the shape orange. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Complete the magic square so that each row and column adds up to 1. Rename any fractions in lowest terms. 18 Name _______________________________________________________ M U L T I P L I C AT I O N Two Digits x One Digit 147 214 55 x 9 21 x 6 29 x 8 18 x 6 39 x 6 45 x 8 49 x 3 234 244 232 412 58 x 6 495 126 267 108 350 360 348 87 x 4 21 x 7 26 x 9 72 x 5 58 x 4 Scholastic Professional Books 150 12 x 9 99 x 5 14 x 9 Solve the problems. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Some dots will not be used. Taking It Further: Multiply across and add down to complete the puzzles. 15 x 9 = x 5 = + 15 34 + = x 7 = x 6 = x 6 = x 6 = + 21 = 5 20 4 8 Scholastic Professional Books 1 + 7 12 10 1 4 1 2 4 16 2 8 Dazzling Math Line Designs 5 + 1 24 4 5 + 1 8 13 Dazzling Math Line Designs C 77.2 x 9.9 B 72.6 x 6.2 17.2 x 19.6 98.2 x 8.8 1.6 x 7.6 E E F D 9.9 x 9.6 F D Solve the problems. If the answer is between 0 and 200, color the shape red. If the answer is between 201 and 400, color the shape orange. If the answer is between 601 and 800, color the shape blue. If the answer is between 801 and 1,000, color the shape purple. Finish the design by coloring the other shapes with the colors of your choice. For more fun, cut out the design and fold it into a . Scholastic Professional Books Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 6 + 1 11 3 1 + 1 12 3 3 + 2 12 3 1 + 2 7 21 C 41.2 x 6.8 1 +5 5 9 3 + 1 16 8 2 + 2 9 5 3 + 3 8 10 21.2 x 33.6 .6 .9 1 +2 8 3 44 x2 5 + 1 9 4 1 + 7 15 30 .2 1.8 x 7.9 FRACTIONS Addition with Unlike Denominators 4 + 2 9 7 93 ___________________________________________________________ x x 8.6 42.2 x 9.6 There are three different types of activities in this book. Teaching tips for each type follow. Designs to Color (pages 8–24) are geometric shapes with basic math problems in them. Stained Glass Octagon Students solve the problems, then color the shapes based on the answers. The finished designs will make a perfect addition to your math learning center or bulletin board. For these designs, students need crayons or colored pencils. Tell students to solve all of the problems before they start coloring. In the section Designs to Create (pages 25–41), students also solve math problems. Then they draw straight lines to connect dots beside The North Star the problems to the dots beside their answers. When all of the dots have been connected, beautiful line designs emerge that are suitable for framing. For these designs, students need a ruler, a sharp pencil, and an eraser. One of the activities requires a compass. Again, encourage students to solve all of the problems before Name .2 B 9.2 x 89.6 59.2 x 14.2 A How to Use This Book D E C IM A L S Dazzling Math Line Designs M athematics is everywhere! We use it to tile a floor, build a skyscraper, or create designs like the ones in this book. When students begin to make the connection between art and math, their eyes light up and mathematics becomes more than a row of tedious problems on the page. I hope that by creating the designs on these pages, your students will discover and enjoy the creative side of mathematics. 60 + = = 25 5 0.1 1 Skills Matrix The chart on these two pages organizes the activities in this book by skill area. Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources PAGE MATH SKILL TITLE OF ACTIVITY Multiplication: Basic Facts The Great Pyramid 44 Multiplication: Two Digits x One Digit Picture-Perfect Star 8 Multiplication: Two Digits x One Digit The North Star 25 Multiplication: Two Digits x One Digit A Tornado of Pentagons 45 Multiplication: Two Digits x Two Digits Soccer Balls 9 Multiplication: Two Digits x Two Digits In the Wink of an Eye 26 Multiplication: Two Digits x Two Digits Twirling Top 46 Multiplication: Three Digits x One Digit Purple Blossoms 10 Multiplication: Three Digits x One Digit Weaving Webs 27 Multiplication: Three Digits x Two Digits Into the Abyss 11 Multiplication: Three Digits x Two Digits Goose Egg 28 Multiplication: Three Digits x Two Digits Dodecahedron Blossoms 47 Division: Basic Facts Mirror Image 29 Division: Basic Facts Circus Tent 48 Division: Averaging Dawn Is Breaking 51 Division: Two Digits ÷ One Digit With Remainder Honeycomb 12 Division: Two Digits ÷ One Digit With Remainder Dazzling Jewel 49 Division: Three Digits ÷ One Digit With No Remainder Flying Carpet 13 Division: Three Digits ÷ One Digit With No Remainder Whirling Fan 30 Division: Three Digits ÷ One Digit With Remainder Into the Black Hole 31 Division: Three Digits ÷ One Digit With Remainder Octagon Remainder 14 Division: Three Digits ÷ Two Digits With No Remainder Gift Bow 32 Division: Three Digits ÷ Two Digits With No Remainder Bull’s-Eye Box 50 Division: Three Digit ÷ Two Digits With Remainder Fourteen Boxes 15 Fractions: Equivalent Fractions Supernova 33 6 NUMBER Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 0.1 1 Fractions: Renaming Spring Flowers 16 Fractions: Renaming Circus Barrel 52 Fractions: Addition With Like Denominators Into Infinity 17 Fractions: Addition With Like Denominators Starburst 35 Fractions: Addition With Like Denominators Checkerboard Fractions 54 Fractions: Addition With Unlike Denominators Stained Glass Octagon 18 Fractions: Addition of Mixed Fractions Lunar Module 56 Fractions: Subtraction With Like Denominators Trefoil 19 Fractions: Subtraction With Unlike Denominators Fireworks 20 Fractions: Subtraction With Unlike Denominators Jester’s Cube 55 Fractions: Subtraction of Mixed Numbers With Regrouping Greenhouse Fractions 57 Fractions: Improper Fractions to Mixed Fractions Fly’s Eye 34 Fractions: Improper Fractions to Mixed or Whole Numbers Rolling Hearts 53 Fractions: Multiplication Fraction Flippers 36 Fractions: Division Building in Space 37 Decimals: Place Value Kaleidoscope of Flowers 21 Decimals: Place Value Whirling Triangles 58 Decimals: Comparing Ring of Stars 38 Decimals: Rounding Decimal Flower 39 Decimals: Addition Dottie’s Quilt 22 Decimals: Addition Space Satellite 40 Decimals: Subtraction Lantern Glow 23 Decimals: Subtraction Bug Box 59 Decimals: Multiplication Stars and Stripes 24 Decimals: Multiplication Queen’s Gem 60 Decimals: Decimals ÷ Whole Numbers Cosmic Blast 41 Decimals: Decimals ÷ Whole Numbers King’s Treasure Chest 61 7 Name _______________________________________________________ M U L T I P L I C AT I O N Two Digits x One Digit Picture-Perfect Star 81 x4 x 79 x8 87 x9 79 x9 9 74 x9 8 99 x9 11 x9 68 x9 97 x9 x 79 x4 90 x8 97 x6 82 x3 56 x5 92 x7 90 x9 95 x5 71 x 66 88 x9 69 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 38 x2 68 x7 89 x6 84 x9 7 91 x8 68 x8 x 98 x8 99 x6 88 9 94 x 8 82 x 9 Solve the problems. Then color the design. Here’s how: 1. Choose four colors that you like. 2. Write the name of one of the colors on each line below. 3. Color the puzzle. If the answer is between 1 and 200, color the shape ________________. If the answer is between 201 and 500, color the shape _________________. If the answer is between 501 and 700, color the shape _________________. If the answer is between 701 and 900, color the shape ________________. Taking It Further: Fill in the missing numbers. a. 88 x ______ = 792 b. 56 x _______ = 392 8 c. 41 x _______ = 246 Name _______________________________________________________ M U L T I P L I C AT I O N Two Digits x Two Digits Soccer Balls 45 x 22 89 x 23 68 x 26 80 x 26 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 61 x 23 75 x 13 96 x 42 77 x 23 75 x 23 49 x 71 48 x 48 24 x 20 96 x 26 34 x 28 65 x 13 45 x 31 47 x 23 59 x 29 55 x 52 54 x 28 16 x 36 65 x 21 27 x 57 45 x 22 Solve the problems. Then color the design. Here’s how: 1. Choose two colors that you like. 2. Write the name of one of the colors on each line below. 3. Color the design. If the answer is even, color the shape ___________________. If the answer is odd, color the shape ____________________. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Fill in the missing numbers. a. 49 x 2 __ 1,078 b. 78 x __9 1,482 c. 55 x 3__ 1,925 9 Name _______________________________________________________ M U L T I P L I C AT I O N Three Digits x One Digit Purple Blossoms 973 x 8 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 380 x 6 909 x 7 272 x 8 319 x 4 178 x 4 592 x 7 711 x 7 699 x 6 340 x 5 716 x 8 443 x 4 234 x 1 361 x 6 246 x 4 588 x 9 508 x 7 841 x 8 741 x 8 799 x 8 247 x 7 300 x 9 650 x 9 348 x 9 Solve the problems. 948 x 9 If the answer is between 1 and 250, color the shape yellow. If the answer is between 251 and 4000, color the shape purple. If the answer is between 4,001 and 9,000, color the shape pink. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: What number am I? I am an even number. I have three digits and they are all the same. If you multiply me by 4, all of the digits in the product are 8. What number am I? _____________ 10 Name _______________________________________________________ M U L T I P L I C AT I O N Three Digits x Two Digits Into the Abyss 571 x 33 618 x 99 318 x 49 399 x 59 690 x 80 898 x 69 412 x 69 541 x 26 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 888 x 79 578 x 79 178 x 39 511 x 99 798 x 80 618 x 49 500 x 49 776 x 85 701 x 79 438 x 29 200 x 16 859 x 84 868 x 89 688 x 79 578 x 19 373 x 36 914 x 78 912 x 99 478 x 61 378 x 11 778 x 69 526 x 54 494 x 29 608 x 76 Solve the problems. If the answer is between 1 and 45,000, color the shape black. If the answer is between 45,001 and 99,000, color the shape grey. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: What three-digit number when multiplied by 11 gives the product 3663? 11 Name _______________________________________________________ Two Digits ÷ One Digit With Remainder Honeycomb Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 14 ÷ 6 15 ÷ 9 86 ÷ 7 23 ÷ 6 15 ÷ 2 66 ÷ 9 27 ÷ 5 41 ÷ 6 62 ÷ 7 37 ÷ 6 54 ÷ 7 13 ÷ 3 63 ÷ 8 DIVISION 28 ÷ 3 76 ÷ 9 33 ÷ 9 15 ÷ 8 45 ÷ 7 33 ÷ 7 80 ÷ 9 19 ÷ 2 17 ÷ 4 53 ÷ 6 11 ÷ 6 Solve the problems. If the answer has a remainder between 1 and 4, color the shape black. If the answer has a remainder between 5 and 8, color the shape red. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Fill in the missing numbers. a. ____ ÷ 9 = 2 R 8 b. ____ ÷ 7 = 7 R4 12 c. ____ ÷ 4 = 5 R1 Name _______________________________________________________ Three Digits ÷ One Digit With No Remainder Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources Flying Carpet 3 2 992 DIVISION 3 3 996 603 897 3 2 880 4 576 3 903 6 738 2 2 2 502 392 2 982 742 990 Taking It Further: Fill in the missing digits. Solve the problems. If the answer is between 100 and 250, color the shape red. If the answer is between 251 and 900, color the shape blue. Finish the design by coloring the other shapes with the colors of your choice. 4 3 2 2 8 __ __ – 8 888 0 6 –o 6 0 4 –o 4 0 13 Name _______________________________________________________ Octagon Remainders DIVISION Three Digits ÷ One Digit With Remainder 8 588 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 5 286 7 632 9 281 6 298 2 187 4 379 9 544 5 388 3 265 4 547 5 272 7 487 4 226 2 167 8 124 Solve the problems. Then color the design. Here’s how: 1. Choose three colors that you like. 2. Write the name of one of the colors on each line below. 3. Color the design. If the remainder is 1 or 2, color the shape _______________. If the remainder is 3 or 4, color the shape _______________. If the remainder is 5 or 6, color the shape _______________. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Write four numbers greater than 100 that when divided by 8 have four different remainders. 14 Name _______________________________________________________ Three Digits ÷ Two Digits With Remainder Fourteen Boxes 19 193 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 21 303 52 473 DIVISION 27 764 33 731 15 682 29 874 83 836 41 578 73 958 33 465 16 184 64 961 61 861 Solve the problems. If the remainder is 1, 2, 3, 4, or 5, color the shape pink. If the remainder is 6, 7, 8, 9, or 10, color the shape green. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Fill in the missing numbers in the dividends below. 57 0 1 0 R27 5 9 __ 32 02 1 6 __ 9 R7 01 0 6 8 __ 9 9 R19 15 Name _______________________________________________________ FRACTIONS Renaming Spring Flowers 15 30 11 33 3 9 9 18 11 22 14 42 9 36 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 7 21 21 42 7 28 15 45 10 40 19 38 7 14 14 42 9 27 50 100 25 100 17 34 45 135 Rename the fractions. If the fraction equals 1 2 , color the shape orange. If the fraction equals 1 3 , color the shape yellow. 1 If the fraction equals 4 , color the shape blue. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Complete the squares so that each box adds up to 1. Use the 8 4 1 following fractions once: 14 , 14 , and 14 . a. b. c. 1 1 1 2 2 7 6 14 16 7 2 14 4 14 1 7 14 1 7 0.1 Name _______________________________________________________ Into Infinity 0 Addition With Like Denominators 3 + 2 20 20 1 + 1 14 14 1 + 2 4 4 4 + 2 10 10 6 + 5 12 12 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources FRACTIONS 4 + 7 12 12 4 + 6 14 14 4 + 2 8 8 2 + 3 10 10 1 + 1 16 16 2 + 2 16 16 1 + 2 9 9 4 + 2 9 9 1 + 2 5 5 4 + 5 10 10 1 + 8 10 10 6 + 2 10 10 4 + 3 8 8 1 + 2 6 6 3 + 7 40 40 Solve the problems. Then rename the answers in lowest terms. , If the answer is 1 4 1 2 2 3 If the answer is 3 5 If the answer is 9 10 If the answer is If the answer is , or , 1 8 1 3 3 4 , 4 5 , or , color the shape purple. , or 1 16 1 7 7 8 , or 5 7 , color the shape yellow. , or 11 12 , color the shape blue. , color the shape green. , color the shape red. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Fill in the missing fractions. 7 11 1 1 a. 20 + ___ = 20 b. 8 + ___ = 2 c. 4 7 + ___ = 1 17 Name _______________________________________________________ Stained-Glass Octagon 5 + 1 9 4 1 +5 5 9 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 6 + 1 11 3 3 + 1 16 8 1 + 7 15 30 1 + 1 12 3 2 + 2 9 5 3 + 3 8 10 0.1 Addition With Unlike Denominators 1 +2 8 3 4 + 2 9 7 FRACTIONS 3 + 2 12 3 1 + 2 7 21 1 + 1 9 3 3 + 1 7 3 5 + 1 7 6 2 + 2 11 3 1 + 2 8 5 5 + 1 24 4 5 + 1 8 13 1 + 1 15 3 1 + 1 7 5 4 +1 9 3 1 + 2 6 5 1 +2 9 3 1 + 7 12 10 Solve the problems. Then rename the answers in lowest terms. 1 If the answer is 2 or greater, color the shape green. 1 If the answer is less than 2 , color the shape orange. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Complete the magic square so that each row and column adds up to 1. Rename any fractions in lowest terms. 18 5 20 4 8 1 4 1 2 4 16 2 8 Name _______________________________________________________ 0 Subtraction With Like Denominators Trefoil 2 4 – 1 4 7 8 – 1 9 – 1 10 10 8 3 5 – 1 5 7 11 – 5 11 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources FRACTIONS 8 9 – 2 9 7 – 1 12 12 7 12 – 3 12 14 15 – 9 15 7 8 – 2 8 12 – 2 15 15 9 10 – 8 10 9 18 – 2 18 7 6 – 4 18 – 3 20 20 6 7 8 – 6 8 11 – 1 13 13 4 5 – 3 5 15 – 1 18 18 13 – 1 16 16 4 9 – 1 9 7 8 – 4 8 3 4 – 1 4 Solve the problems. Rename the answers in lowest terms. If the answer is 1 2 or greater, color the shape red. If the answer is less than 1 2 , color the shape blue. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Fill in the missing fractions. 17 a. 18 b. 89 – ___ = 23 20 – ___ = 20 c. 4 7 – ___ = 0 19 Name _______________________________________________________ Subtraction With Unlike Denominators Fireworks 9 – 1 6 10 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources FRACTIONS 9 – 1 7 14 4 – 3 6 5 7 – 5 24 8 14 – 2 3 15 1 – 1 16 2 20 – 1 5 25 10 – 1 2 11 1 – 1 30 10 11 – 2 8 12 7 – 2 3 9 7 – 1 4 20 19 – 3 13 26 4 – 1 3 7 30 – 2 11 33 20 – 2 9 27 Solve the problems. Rename the answers in lowest terms. 1 If the answer is 2 or greater, color the shape yellow. 1 If the answer is less than 2 , color the shape green. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Fill in the missing numbers in the problems below. Rename the answers in lowest terms. a. 20 3 7 – ___ = 8 35 b. ___ – 2 3 = 3 14 c. 9 10 – ___ = 1 3 0.1 Name _______________________________________________________ D E C IM A L S Place Value Kaleidoscope of Flowers 13.95 1.151 6,543.5 0.1 1 7.5 3,795 5.91 5.4 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 5.090 21.05 3.45 30.51 5.7 5.89 0.51 2.589 5 1.50 675 7.95 0.951 5.01 25.13 5.98 65 0.5 1.57 0.050 6.05 If the number has a 5 in the ones place, color the shape green. If the number has a 5 in the tenths place, color the shape pink. If the number has a 5 in the hundredths place, color the shape yellow. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Place the following decimals in the correct places on the lines below the dots: 4.9, 1.7, 2.5, and 0.2. 0 1 2 3 4 5 21 Name _______________________________________________________ D E C IM A L S Addition 27 + .5 67 7. + .2 94 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 72 .5 2 + .1 .5 71 28 + 12 .5 .1 28 2 Dottie’s Quilt 0.1 1 2 9. .1 5 21 + + 73 .5 .1 76 6. 12 2.9 + 98.12 .1 2 2 24 .6 .5 88 + + 7. 5 + 5 .0 2 .1 79 76 09 2 7. + 5 + 9. .5 + 88 .7 27 92 Solve the problems. If the answer is 100 or greater, color the shape pink. If the answer is less than 100, color the shape green. Finish the design by coloring the other shapes with the colors of your choice. Taking It Further: Rewrite the problem below on the back of this paper and solve. 2.99 + 14.1 + 787.02 + 16 = __________________ 22 Name _______________________________________________________ D E C IM A L S Subtraction Lantern Glow 5.2 – 4.1 8.0 – 4.2 9.24 – 2.9 6.0 – 5.7 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 9.9 – 2.47 6.0 – 1.1 8.9 – 6.9 2.9 – 1.6 7.8 – 3.1 4.5 – 1.4 3.8 – 1.7 5.3 – 2.2 4.47 – 1.04 6.6 – 2.0 96.1 – 65.8 8.97 – 4.56 0.78 – 0.4 7.30 – 3.09 6.9 – 2.3 0.1 1 8.9 – 3.1 0.74 – 0.52 8.6 – 2.0 8.9 – 6.7 9.62 – 1.1 5.6 – 3.5 2.2 – 1.1 9.8 – 5.1 2.7 – 1.7 Solve the problems. If the number in the tenths place is 0, 1, 2, or 3, color the shape green. If the number in the tenths place is 4 or 5, color the shape red. If the number in the tenths place is 6, 7, 8, or 9, color the shape pink. Finish the design by coloring the other shapes with the colors of your choice. Taking it Further: Rewrite these problems on the back of this paper and solve. a. 3.4 – 1.009 = _____ b. 79.03 – 9.4 = _____ c. 81.02 – 4.99 = _____ d. 7.9 – 4.012 = _____ 23 Name _______________________________________________________ Stars and Stripes Multiplication 0.1 1 61.7 73.4 3.0 3.7 4.69 5.99 2.9 4.41 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources DECIMALS 19.1 9.8 7.1 16.2 8.79 7.4 10.9 11.4 9.9 10.8 6.9 8.6 7.8 9.0 1.6 10.8 6.7 5.4 5.88 6.2 4.05 6.8 12.8 11.8 Multiply each decimal by 13. If the product is greater than 100, color the shape red. If the product is less than 100, color the shape blue. Finish the design by coloring the rest of the shapes with the colors of your choice. Taking It Further: Cameron uses 1.5 candy bars to make one batch of Chocolate Nutty Dream Bars. If she makes 5 batches of Chocolate Nutty Dream Bars, how many candy bars will she need? 24 Name _______________________________________________________ Two Digits x One Digit Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources The North Star 147 214 55 x 9 21 x 6 29 x 8 18 x 6 39 x 6 45 x 8 49 x 3 234 244 232 M U L T I P L I C AT I O N 412 58 x 6 495 126 267 108 150 350 360 348 87 x 4 21 x 7 26 x 9 72 x 5 58 x 4 12 x 9 99 x 5 14 x 9 Solve the problems. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Some dots will not be used. Taking It Further: Multiply across and add down to complete the puzzles. 15 x 9 = + 15 34 + x 5 = = x 7 = 6 = + 21 = x + x 6 = = = x 6 = 25 Name _______________________________________________________ In the Wink of an Eye 37 x 11 26 x 35 24 x 20 M U L T I P L I C AT I O N Two Digits x Two Digits 57 x 73 98 x 34 23 x 13 30 x 42 23 x 45 21 x 61 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 62 x 12 44 x 20 25 x 17 87 x 33 95 x 36 79 x 12 25 x 46 81 x 14 83 x 17 55 x 13 49 x 52 58 x 42 71 x 17 25 x 13 27 x 34 53 x 73 16 x 34 41 x 23 72 x 32 61 x 11 60 x 33 Solve the problems. If the answer is even, connect the dot beside each problem to the heart on the right- and left-hand sides of the circle. If the answer is odd, do nothing. Two lines have been drawn for you. Taking It Further: Fill in each missing number in these equations. 26 a. 16 x 1 __ 3 04 b. 2 __ x33 891 c. __ 8 x22 616 d. 1 3 x __ 4 312 Name _______________________________________________________ Weaving Webs 167 x 4 309 x 2 252 x 3 M U L T I P L I C AT I O N Three Digits x One Digit 150 x 4 199 x 5 126 x 7 300 x 4 418 x 8 Line B 3,344 1,200 Line C 882 995 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 600 756 618 1,336 668 5,400 1,178 3,612 1,107 1,018 956 378 126 x 3 478 x 2 509 x 2 369 x 3 903 x 4 589 x 2 900 x 6 334 Line A x 4 Solve the problems. Then connect the dot above each problem on Line A to the dot beside its answer on Line C. The first line has been drawn for you. Connect the dot below each problem on Line B to the dot beside its answer on Line C. Taking It Further: Fill in the missing numbers so that each equation equals 1,000. a. 250 x 1 1111 1,000 b. 200 x 1 1111 1,000 c. 100 x 1 1111 1,000 d. 125 x 1 111 1,000 27 Name _______________________________________________________ M U L T I P L I C AT I O N Three Digits x Two Digits Goose Egg 55,200 421 x 91 50,339 609 x 52 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 42,558 811 x 47 14,140 707 x 20 38,117 519 x 82 31,668 709 x 71 38,311 600 x 92 704 x 47 527 x 21 505 x 91 491 x 40 621 x 33 311 x 83 181 x 84 201 x 55 127 x 61 160 x 71 118 x 90 531 x 20 33,088 45,955 20,493 15,204 7,747 10,620 11,360 11,055 25,813 19,640 11,067 Solve the problems. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Taking It Further: Place one of the following numbers in each box below so that each problem is correct: 41, 37, 42 a. 175 b. 393 c. 804 28 x 1 1111 x 1 11111 x 1 11111 6,475 16,113 49,848 Name _______________________________________________________ DIVISION Basic Facts Mirror Image 24 ÷ 6 27 ÷ 3 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 36 ÷ 6 28 ÷ 4 32 ÷ 4 40 ÷ 8 7÷7 18 ÷ 9 2 1 5 7 9 4 6 8 9÷9 16 ÷ 8 32 ÷ 4 20 ÷ 4 42 ÷ 7 63 ÷ 9 16 ÷ 4 81 ÷ 9 Solve the problems. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Taking It Further: Fill in the missing numbers in the patterns below. 81, 72, 63, _______ , _______ , _______ , _______ , _______ , 9 63, 56, 49, _______ , _______ , _______ , _______ , _______ , 7 29 Name _______________________________________________________ DIVISION Three Digits ÷ One Digit With No Remainder Whirling Fan 120 ÷ 8 279 ÷ 9 91 126 ÷ 9 301 ÷ 7 88 126 ÷ 7 174 ÷ 6 72 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 189 ÷ 9 240 ÷ 5 440 ÷ 5 43 270 ÷ 6 31 15 216 ÷ 3 29 14 18 21 48 45 225 ÷ 9 364 ÷ 4 12 24 51 35 40 65 108 ÷ 9 28 120 ÷ 6 192 ÷ 8 52 133 ÷ 7 255 ÷ 5 19 416 ÷ 8 175 ÷ 5 20 140 ÷ 5 17 320 ÷ 8 25 130 ÷ 2 153 ÷ 9 Solve the problems. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Taking It Further: Divide across and add down to complete the puzzles. 155 ÷ 5 = + 130 + ÷ 5 = = 5 = ÷ 6 = + 354 = ÷ 30 282 + ÷ 6 = = = ÷ 6 = Name _______________________________________________________ Into the Black Hole 192 ÷ 9 DIVISION Three Digits ÷ One Digit With Remainder 780 ÷ 9 754 ÷ 8 632 ÷ 7 557 ÷ 6 584 ÷ 6 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 679 ÷ 8 888 ÷ 9 169 ÷ 4 402 ÷ 5 177 ÷ 4 442 ÷ 7 63 R1 44 R1 80 R2 42 R1 98 R6 84 R7 92 R5 97 R2 90 R2 94 R2 21 R3 86 R6 Solve the problems. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Taking It Further: In the problem below, what is the smallest possible dividend? (Hint: You must have a large enough dividend 2 9 R to have a remainder of at least 1.) 9 What is the greatest possible dividend? 31 Name _______________________________________________________ DIVISION Three Digits ÷ Two Digits With Remainder Gift Bow 192 ÷ 19 34 R27 504 ÷ 16 31 R8 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 979 ÷ 28 10 R2 492 ÷ 37 279 ÷ 14 322 ÷ 15 812 ÷ 27 13 R11 19 R13 21 R7 30 R2 870 ÷ 44 23 R26 811 ÷ 18 45 R1 739 ÷ 31 19 R34 Solve the problems. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Taking It Further: Fill in the boxes with any numbers you choose. Your answer must have a remainder of 2. 2 9 9 32 R2 Name _______________________________________________________ 3 4 3 7 1 3 3 8 7 14 3 5 9 24 15 23 9 21 0 Equivalent Fractions Supernova Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources FRACTIONS 1 6 6 8 9 12 10 30 14 28 1 9 3 18 7 8 1 7 1 2 11 12 1 4 9 81 14 16 3 21 2 3 33 36 1 5 15 30 18 20 7 28 3 24 1 8 2 10 9 10 4 6 Connect the dots between each pair of equivalent fractions. One line has been drawn for you. Taking It Further: Fill in the missing numbers in this pattern. 5 10 , 10 20 , 15 30 , __________ , __________ , __________ , 35 70 33 Name _______________________________________________________ 16 10 8 5 1 18 16 23 6 30 14 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 0.1 Improper Fractions to Mixed Fractions Fly’s Eye 5 2 74 18 4 3 16 14 26 14 21 10 20 18 14 6 11 6 1 3 9 8 4 1 9 2 1 2 2 1 7 3 5 6 1 1 8 1 3 5 1 2 3 1 5 6 2 1 3 1 1 9 2 1 10 1 6 7 1 10 6 46 12 15 7 10 4 37 9 8 6 8 7 13 7 42 20 10 9 7 3 22 12 1 7 5 3 Connect the dot beside each improper fraction to the dot beside its equivalent mixed fraction. The first line has been drawn for you. Taking It Further: Shade the blocks that have 1 improper fractions that equal 1 2 . The shaded blocks will form a letter. What letter do you see? 34 FRACTIONS 6 4 9 6 12 8 30 20 3 2 9 7 15 10 7 3 21 14 6 5 27 18 4 5 18 12 24 16 39 26 Name _______________________________________________________ 9 10 10 11 11 16 4 9 + 1 9 3 12 2 12 + 3 7 + 10 17 3 7 1 8 4 8 + 3 18 + 11 13 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 0 Addition With Like Denominators Starburst 5 14 FRACTIONS 2 18 4 15 + 5 15 2 4 + 5 6 1 4 2 3 1 5 + 3 5 3 4 2 6 + 3 6 1 3 4 5 5 10 5 18 9 15 9 13 6 7 5 8 9 17 5 9 5 12 8 16 + 3 16 7 11 + + 4 14 1 17 + + + + 1 3 4 10 2 13 1 14 3 11 Solve the problems. Rename the answers in lowest terms. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Taking It Further: Fill in the correct fractions in the boxes below to equal the given sums. The first one has been done for you. 1 3 + 1 3 2 3 + + 5 8 + 2 7 + 8 9 + 14 15 + 9 19 17 25 35 Name _______________________________________________________ FRACTIONS Multiplication Fraction Flippers 1 x 1 4 4 5 x 4 6 8 4 x 1 9 8 2 x 2 7 3 1 x 2 6 6 2 x 6 7 9 1 x 5 2 6 1 x 1 8 2 1 16 5 21 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 4 21 5 12 1 12 1 18 1 6 1 3 1 2 8 45 6 41 5 32 2 x 4 5 9 5 x 1 16 2 1 x 1 2 3 3 x 3 6 3 6 x 1 12 3 4 x 4 9 10 5 x 3 6 5 5 x 1 8 4 Solve the problems. Rename the answers in lowest terms. Then connect the dot beside each problem to the dot beside its answer. One line has been drawn for you. Some dots will not be used. Taking It Further: Tom had 2 of a box of Crackle Crunch Candies. He ate 34 of it. What portion of the box of candy was left? _________________ 1 36 0.1 Name _______________________________________________________ FRACTIONS 0 Division Building in Space 2 ÷ 5 4 6 1 ÷ 5 3 9 1 ÷ 1 8 8 1 ÷ 1 5 5 1 ÷ 4 6 5 1 ÷ 3 8 5 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 7 ÷ 2 9 2 1 ÷ 1 9 7 1 ÷ 1 6 3 1 ÷ 2 5 5 1 ÷ 2 8 9 3 ÷ 2 8 3 3 5 1 5 24 7 9 1 2 9 16 Solve the problems. Rename the answers in lowest terms. Then connect the dot beside each problem to the dot beside its answer. Taking It Further: Fill in the missing numbers in the problems below. a. 1 9 ÷ 1 = 7 9 b. 2 3 ÷ 6 = 14 18 or 7 9 c. 2 ÷ 2 3 = 6 10 or 3 5 37 Name _______________________________________________________ D E C IM A L S Comparing Ring of Stars 0.1 1 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 0.70 _____ 0.7 End Start 0.109 0.90 _____ 0.09 1.2 1.06 0.8 0.73 1.077 1.73 6.900 _____ 6.9 9.007 _____ 9.70 0.099 0.30 _____ 0.3 Form a star polygon by connecting the dots beside the decimals inside the pentagon. Begin with the smallest decimal and continue connecting the dots until you reach the largest decimal. The first and last lines have been drawn for you. Taking It Further: Compare each pair of decimals inside the outer stars by writing <, >, or = on each blank line. If the decimals inside the star are equivalent, color the star blue. If the decimals inside the star are not equivalent, color the star red. Finish the design by coloring the rest of the shapes with the colors of your choice. 38 Name _______________________________________________________ D E C IM A L S Rounding Decimal Flower 0.1 1 5.01 4.45 4.06 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 4.87 4.99 5.64 4.095 5.4 5.15 4.45 5.7 4.79 4.59 5.5 5.6 4.60 You will need a compass to complete this design. Set your compass points as shown below. Then round each decimal in the design to the nearest whole number. If the decimal rounds to 5, place your compass point on the dot beside that number and draw a circle. Watch a flower bloom! (Hint: If the number to the right of the decimal point is 5 or greater, increase the whole number by one. If that number is less than 5, the whole number stays the same.) Put your compass point here. • (radius of the circle) • Place your pencil point here. Taking It Further: Write 10 decimals that equal 9 when rounded to the nearest whole number. 39 Name _______________________________________________________ D E C IM A L S Addition Space Satellite 0.1 1 Line A Line B 6.5 3.3 + 0.28 6.7 18.1 + 1.9 13.3 5.9 4.01 + 1 5.01 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 21.5 5.6 + 0.3 20 0.9 + 12.4 3.08 3.58 3.2 + 3.3 4.7 + 1.8 3.58 3.08 0.9 + 12.4 4.2 + 1.7 3.89 + 1.12 4.9 + 15.1 2.2 + 1.38 20 21.5 5.01 5.9 13.3 6.7 6.5 Solve the problems. Then connect the dot beside each problem on Line A to the dot beside its answer on Line B. The answer to each problem appears twice on Line B. Two lines have been drawn for you. Some dots on Line B will not be used. Taking It Further: What three consecutive even decimal numbers have a sum of 7.38? 40 Name _______________________________________________________ D E C IM A L S Decimals ÷ Whole Numbers Cosmic Blast 0.1 1 27.2 ÷ 4 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 2.7 ÷ 9 469.2 ÷ 6 25.9 ÷ 7 26.75 ÷ 5 96.6 ÷ 6 9.6 ÷ 6 8.6 ÷ 5 102.9 ÷ 7 Solve the problems. Rename the answers in lowest terms. Then connect the dot beside each problem to the dot beside its answer in the order given below. 14.7, 0.3, 1.6, 3.7, 5.35, 16.1, 78.2, 1.72, 6.8, and 14.7. Taking It Further: Write the decimal answers from the problems above in order from smallest to greatest. 41 0.1 1 How to Assemble the 3-D Constructions Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources The activity pages that follow (pages 44–61) give students the opportunity to color designs based on answers to mathematical problems and then construct them into three-dimensional shapes. While most of the designs are self-explanatory, these two pages give complete construction directions. If you like, enlarge the patterns on a photocopier before having students construct them. The Great Pyramid (page 44) Dazzling Jewel (page 49) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of the large square shape. Fold down the small square and tape it in place. Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of a triangle shape. octahedron truncated square pyramid Twirling Top (page 46) Bull’s Eye Box (page 50) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape flap A to the underside of figure 1. Tape flap B to the underside of figure 2. Then carefully tape the other flaps on figure 2 to the underside of figure 1. Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of a rhombus shape. trapezohedron A Tornado of Pentagons (page 45) and Dodecahedron Blossoms (page 47) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each lettered flap in alphabetical order to the underside of the pentagon next to it. Tape the numbered tabs on figure 2 to the underside of figure 1. Circus Tent (page 48) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape flap D to the underside of D. Do the same thing with the rest of the flaps. pentagonal pyramid 42 rhombus Dawn is Breaking (page 51) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the inside of the cone. cone Circus Barrel (page 52) dodecahedron Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of an octagon or rectangle shape. octagonal prism Rolling Hearts (page 53) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of the cylinder. cylinder 0.1 1 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources How to Assemble the 3-D Constructions Checkerboard Fractions (page 54) Whirling Triangles (page 58) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each unlettered flap to the underside of the triangle shape beside it. Tape flap A to the underside of side A. Do the same thing with the rest of the lettered flaps. Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of a triangle shape. triangular pyramid icosahedron Bug Box (page 59) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of either a rectangle or a square shape. rectangular prism Jester’s Cube (page 55) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of a square shape. cube Queen’s Gem (page 60) Lunar Module (page 56) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape flap A to the underside of side A. Do the same thing with the rest of the flaps. Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape flap A to the underside of side A. Do the same thing with the rest of the flaps. double pentagonal pyramid cuboctahedron Greenhouse Fractions (page 57) King’s Treasure Chest (page 61) Cut out the pattern along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of a rectangle shape. Cut out the shape along the outer solid lines and fold along the dotted lines. Tape each flap to the underside of a pentagon or rectangle shape. triangular prism pentagonal prism 43 Name _______________________________________________________ M U L T I P L I C AT I O N Basic Facts The Great Pyramid 9 3x 5 8x 9x 3 6x 6 7x 9 7x 6 9 7x 7 6x 11 3x 5 5x5 4x5 Solve the problems. Then color the design. Here’s how: 1. Choose four colors that you like. 2. Write the name of one of the colors on each line below. 3. Color the design. 6 6x5 2x8 8 9x 5 x 7 10 If the answer is between 41 and 60, color the shape _______________________. If the answer is between 61 and 90, color the shape _______________________. For more fun, cut out the design and fold it into a 44 . 7x4 If the answer is between 21 and 40, color the shape _______________________. 2x6 If the answer is between 1 and 20, color the shape _______________________. 8 x 7 x 2x8 3x 9 8 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 6x 5 4x6 8x 8x Name _______________________________________________________ M U L T I P L I C AT I O N Two Digits x One Digit A Tornado of Pentagons c 62 30 Figure 1 d Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources b 94 81 44 e a 21 Figure 2 Multiply each number by 7. If the answer is between 1 and 200, color the spiral pentagon red. If the answer is between 201 and 400, color the spiral pentagon green. If the answer is between 401 and 600, color the spiral pentagon pink. If the answer is between 601 and 900, color the spiral pentagon yellow. For more fun, cut out the design and fold it into a 12 f J 8 1 77 37 7 2 99 i g 49 69 6 3 h 4 5 . 45 Name _______________________________________________________ M U L T I P L I C AT I O N Two Digits x Two Digits Twirling Top 19 x 79 Figure 1 58 x 74 77 x 17 92 x 19 47 x 43 86 x 46 26 x 35 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 45 x 19 65 x 13 95 x 68 Flap A Flap B 67 x 69 42 x 93 16 x 18 87 x 71 22 x 12 35 x 11 35 x 25 96 x 12 54 x 19 73 x 23 Solve the problems. Then color the design. Here’s how: 1. Choose two colors that you like. 2. Write the name of one of the colors on each line below. 3. Color the design. If the answer is even, color the shape ________________. If the answer is odd, color the shape _______________. For more fun, cut out the design and fold it into a 46 . Figure 2 Name _______________________________________________________ Three Digits x Two Digits Dodecahedron Blossoms 477 x 37 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources M U L T I P L I C AT I O N 527 x 29 837 x 16 749 x 23 579 x 85 997 x 11 Solve the problems. If the answer ends in an even number, color the shape yellow. If the answer ends in an odd number, color the shape orange. For more fun, cut out the figure and fold it into a 377 x 38 639 x 24 156 x 36 289 x 61 . 478 x 82 788 x 95 47 Name _______________________________________________________ DIVISION Basic Facts Circus Tent D 12 ÷ 3 18 ÷ 3 56 ÷ 7 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 15 ÷ 5 27 ÷ 9 18 ÷ 9 C 40 ÷ 5 16 ÷ 4 20 ÷ 5 64 ÷ 8 25 ÷ 5 B 10 ÷ 5 36 ÷ 6 42 ÷ 6 32 ÷ 4 12 ÷ 4 Solve the problems. If the answer is even, color the shape purple. If the answer is odd, color the shape red. For more fun, cut out the design and fold it into a 36 ÷ 9 A 72 ÷ 9 18 ÷ 9 30 ÷ 5 A 49 ÷ 7 D . B C 48 Name _______________________________________________________ DIVISION Two Digits ÷ One Digit With Remainder Dazzling Jewel Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 34 ÷ 9 Solve the problems. Then color the design. Here’s how: 66 ÷ 8 1. Choose two colors that you like. 2. Write the name of one of the colors on each line below. 3. Color the design. If the remainder is 1, 2, 3, 4, or 5, color the shape _________________. If the remainder is 6, 7, 8, or 9, color the shape _________________. For more fun, cut out the design and fold it into a 13 ÷ 7 67 ÷ 7 41 ÷ 6 26 ÷ 9 10 ÷ 3 47 ÷ 8 49 ÷ 5 79 ÷ 8 27 ÷ 4 . 35 ÷ 9 19 ÷ 2 20 ÷ 7 48 ÷ 7 11 ÷ 4 49 Name _______________________________________________________ Three Digits ÷ Two Digits With No Remainder Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources Bull’s-Eye Box Solve the problems. If the answer is even, color the shape red. If the answer is odd, color the shape black. Finish the design by coloring the other shapes with the colors of your choice. For more fun, cut out the design and fold it into a 136 ÷ 34 258 ÷ 43 189 ÷ 21 119 ÷ 17 208 ÷ 26 189 ÷ 63 . 328 ÷ 82 133 ÷ 19 270 ÷ 45 455 ÷ 91 196 ÷ 49 495 ÷ 55 50 DIVISION Name _______________________________________________________ DIVISION Averaging Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources Dawn is Breaking Average each set of three numbers. If the average is between 1 and 20, color the shape orange. If the average is between 21 and 40, color the shape yellow. If the average is between 41 and 70, color the shape red. For more fun, cut out the design and fold it into a 12, 68, 91 . 55, 38, 63 9, 6, 3 19, 31, 28 48, 60, 72 15, 20, 25 10, 38, 39 13, 52, 49 28, 59, 99 51 Name _______________________________________________________ FRACTIONS Renaming Circus Barrel 4 16 5 15 45 90 4 20 5 25 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 6 12 5 10 4 12 5 20 7 35 9 18 7 21 7 28 9 27 8 16 3 9 15 60 10 40 9 45 6 30 8 32 Rename each fraction. If the fraction is equivalent to If the fraction is equivalent to If the fraction is equivalent to If the fraction is equivalent to For more fun, cut out the design and fold it into an 52 . 27 81 12 , color the shape red. 13 , color the shape orange. 14 , color the shape yellow. 15 , color the shape blue. 5 10 8 40 0.1 Name _______________________________________________________ FRACTIONS 0 Improper Fractions to Mixed or Whole Numbers Rolling Hearts Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 47 9 20 5 36 6 18 8 39 7 28 9 45 5 12 5 56 10 33 8 37 4 37 9 29 4 13 3 19 2 11 3 Rename each improper fraction as a mixed or a whole number. 1 If the answer is 5 2 or greater, color the shape pink. 1 If the answer is less than 5 2 , color the shape red. Finish the design by coloring the rest of the shapes with the colors of your choice. For more fun, cut out the design and fold it into a 64 7 . 53 Name _______________________________________________________ FRACTIONS Addition With Like Denominators Checkerboard Fractions C 3 + 9 24 24 A 1 + 2 9 9 B Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 6 + 1 8 8 1 + 4 10 10 8 + 2 40 40 1 + 4 12 12 1 + 1 3 3 9 + 8 34 34 4 + 3 17 17 1 + 2 7 7 5 + 2 14 14 Solve the problems. Rename the answers in lowest terms. 1 If the answer is 2 or greater, color the shape red. 1 If the answer is less than 2 , color the shape black. For more fun, cut out the design fold it into an . 4 + 2 8 8 1 + 3 9 9 2 + 8 25 25 12 + 7 20 20 4 + 2 11 11 2 + 2 16 16 1 + 2 8 8 C 7 + 8 30 30 3 + 2 15 15 A 54 B 0.1 Name _______________________________________________________ Jester’s Cube FRACTIONS 0 Subtraction With Unlike Denominators 7 – 1 8 2 10 – 1 12 6 9 – 1 10 4 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 3 – 2 4 3 3 – 1 4 12 7 – 7 8 12 7 – 9 8 16 13 – 1 16 8 5 – 3 5 25 1 – 1 2 6 1 – 1 4 16 4 – 1 5 2 7 – 1 9 6 7 – 1 8 4 4 – 1 5 10 17 – 1 20 5 2 – 1 3 2 5 – 1 8 3 7 – 2 15 6 9 – 4 11 22 15 – 1 18 9 4 – 2 9 5 17 – 1 20 4 Solve the problems. 1 If the answer is 2 or larger, color the shape blue. 1 If the answer is less than 2 , color the shape yellow. For more fun, cut out the design and fold it into a 5 – 1 6 2 . 55 Name _______________________________________________________ FRACTIONS 0.1 Addition of Mixed Fractions Lunar Module A A D 2 + 6 4 4 7 1 2 + 6 5 + 5 E 2 5 3 4 C C 2 3 11 12 3 + 5 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 2 3 5 6 J E 9 D 8 + 6 + 1 5 9 3 4 5 F + 1 4 B + 3 G 2 3 11 18 9 + 1 + 2 1 2 7 12 1 2 4 7 2 + 8 K 7 8 1 4 6 I F 2 4 5 12 25 + 6 5 6 7 18 3 I + 5 4 7 2 3 H 7 9 2 3 K 4 + 6 8 11 3 4 H G Solve the problems. Rename the answers in lowest terms. Then color the design. Here’s how: 1. Choose two colors that you like. 2. Write the name of one of the colors on each line below. 3. Color the design. If the answer is between 1 and 10, color the shape ______________. If the answer is between 11 and 20, color the shape ______________. For more fun, cut out the design and fold it into a 56 . J B Name _______________________________________________________ Greenhouse Fractions 5 – 1 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 4 – 1 8 6 – 1 1 2 3 8 – 1 17 – 11 9 – 2 9 – 8 1 16 13 18 3 8 3 4 1 5 3 4 1 6 3 12 1 7 2 3 1 2 5 8 FRACTIONS 0 Subtraction of Mixed Numbers With Regrouping 13 – 11 9 – 7 2 – 1 18 – 11 18 – 5 1 – 1 2 3 4 1 2 1 10 1 3 3 8 1 6 3 4 1 2 5 8 1 10 4 5 8 – 1 3 – 1 7 – 1 10 – 5 19 –10 12 – 9 1 3 8 9 5 12 3 4 1 3 2 9 1 8 1 4 1 6 3 4 3 8 1 2 9 – 1 18 – 11 7 – 1 13 – 11 10 – 4 7 – 4 1 7 1 3 1 10 4 5 1 9 1 4 1 7 3 4 9 – 1 1 7 3 8 3 8 3 7 1 3 1 9 Solve the problems. Rename the answers in lowest terms. 1 If the fractional part of the answer is less than 2 , color the shape green. 1 If the fractional part of the answer is 2 or greater, color the shape yellow. For more fun, cut out the design and fold it into a . 57 Name _______________________________________________________ D E C IM A L S 0.1 1 Place Value Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 13 6. 12 .10 3 Whirling Triangles 2. 30 1.3 73 03 93 8.1 9.3 9.13 9. 8. 9.1 13 0. 0.1 93 12.832 4.3 53 88.913 6.1 78.883 2.03 0.3 6 12.73 37 8. 8. 34 37 6. 0.013 7 03 3 43 7.13 3.7 5.3 0.03 9.3 11 9.0 8.03 1.3 9.103 93 0. 8.3 1.736 If the number has a 3 in the thousandths place, color the shape green. If the number has a 3 in the hundredths place, color the shape yellow. If the number has a 3 in the tenths place, color the shape blue. Finish the design by coloring the other shapes with the colors of your choice. For more fun, cut out the design and fold it into a 58 . Name _______________________________________________________ D E C IM A L S Subtraction Bug Box 0.1 1 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 891.8 – 70.7 6.05 – 3.01 5.99 – 4.01 489.6 – 211.7 818.8 – 219.9 787.2 – 722.5 605.4 – 115.5 811.0 – 212.8 459.3 – 118.9 3.31 – 1.92 481.2 – 131.3 667.6 – 132.9 759.08 – 12.11 970.0 – 560.9 906.0 – 408.8 1,109.1 – 833.9 1,050.7 – 725.7 969.2 – 69.3 Solve the problems. If the answer is between 1 and 250, color the shape red. If the answer is between 251 and 500, color the shape yellow. If the answer is between 501 and 1,000, color the shape green. For more fun, cut out the design and fold it into a . 59 Name _______________________________________________________ D E C IM A L S 0.1 1 Multiplication Queen’s Gem A 81.2 A .2 x .2 44 x 8.6 21.2 x 33.6 .6 C x2 .9 1.8 x 7.9 93 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 12 B 9.2 x 89.6 59.2 x 14.2 C 77.2 x 9.9 42.2 x 9.6 B 72.6 x 6.2 17.2 x 19.6 98.2 x 8.8 1.6 x 7.6 E F .8 41.2 x 6 E D 9.9 x 9.6 F D Solve the problems. If the answer is between 0 and 200, color the shape red. If the answer is between 201 and 400, color the shape orange. If the answer is between 401 and 600, color the shape yellow. If the answer is between 601 and 800, color the shape blue. If the answer is between 801 and 1,000, color the shape purple. Finish the design by coloring the other shapes with the colors of your choice. For more fun, cut out the design and fold it into a 60 . Name _______________________________________________________ DECIMALS 0.1 1 Decimals ÷ Whole Numbers King’s Treasure Chest ÷7 73 23. 4 ÷3 48 15. 2÷ 79. 8÷ ÷5 22 66. 7 8 4÷ 3÷ 48. ÷5 ÷2 78. 2 6÷ 85 22 11. 84. 8 4 4÷ 10. 8÷ 58. 6 13.14 ÷ 9 35. 11. 8 9 ÷3 2÷ 6÷ 9.9 43. 12. Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources 8÷ 3 37.84 ÷ 8 31. 8÷ 68.6 ÷ 7 Solve the problems. Then color the design. Here’s how: 43. 6 ÷2 6 43.8 ÷ 6 8÷ 7.6 2÷ 38.5 ÷ 5 37. 73. 6 11.2 ÷ 8 7.8 ÷ 6 1. Choose two colors that you like. 2. Write the name of one of the colors on each line below. 3. Color the design. If the number in the tenths place is even, color the shape ______________________. If the number in the tenths place is odd, color the shape _______________________. For more fun, cut out the design and fold it into a . 61 0.1 1 Answers Page 18: Stained-Glass Octagon Answers for Taking It Further Questions, pages 8-42 Page 8: Picture-Perfect Star a. 9; b. 7; c. 6 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources Page 9: Soccer Balls a. 2; b. 1; c. 5 Page 10: Purple Blossoms 222 0 1 4 4 8 4 16 2 8 1 2 1.7 4 5 2.5 4.9 Page 23: Lantern Glow a. 2.391; b. 69.63; c. 76.03; d. 3.888 Page 24: Stars and Stripes 7.5 candy bars Page 25: The North Star 8 14 1 7 2 14 1 7 15 x 9 = + 15 x 5 = = 30 62 3 Page 22: Dottie’s Quilt 820.11 Page 16: Spring Flowers Page 17: Into Infinity 4 3 3 a. 20 b. 8 c. 7 1 2 0.2 Page 15: Fourteen Boxes a. 7; b. 7; c. 6 2 14 4 14 5 20 Page 21: Kaleidoscope of Flowers 432 2 864 – 8oo 06 – o6o 04 –o4o 0 Page 14: Octagon Remainders Answers will vary. Page 13: Flying Carpet 1 2 1 14 1 2 Page 20: Fireworks 1 37 17 a. 5 b. 42 c. 30 Page 12: Honeycomb a. 26; b. 53; c. 21 1 7 4 14 1 4 Page 19: Trefoil 1 2 4 a. 20 b. 9 c. 7 Page 11: Into the Abyss 333 1 7 6 14 1 4 x 7 = 135 34 + + 75 21 = = 210 55 x 6 = 204 + x 6 = 126 x 6 = 330 = 0.1 1 Page 26: In the Wink of an Eye a. 9; b. 7; c. 2; d. 2 Page 30: 155 ÷ = 5 + 130 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources Page 27: Weaving Webs a. 4; b. 5; c. 10; d. 8 282 + + 354 ÷ 5 = 26 = = ÷ 5 = 57 636 = 285 31 ÷ 6 = 47 ÷ 6 = 59 ÷ 6 = 106 + = Page 31: Into the Black Hole smallest dividend: 262 greatest dividend: 269 Page 28: Goose Egg a. 37; b. 41; c. 62 Page 32: Gift Bow Answers will vary. Page 29: Mirror Image a. 54, 45, 36, 27, 18 b. 42, 35, 28, 21, 14 Page 33: Supernova 20 40 , 25 50 , 30 60 Page 30: Whirling Fan 63 Dazzling Math Line Designs: Grades 4-5 © Cindi Mitchell, Scholastic Teaching Resources Page 34: Fly’s Eye Page 38: Ring of Stars 0.70 = 0.7; 9.007 < 9.70, 0.30 = 0.3; 6.900 = 6.9; 0.90 > 0.09 6 4 9 6 12 8 30 20 7 3 4 5 3 2 21 14 18 12 9 7 15 10 6 5 27 18 24 16 39 26 The shaded blocks form the letter S. Page 39: Decimal Flower Answers will vary. Page 35: Starburst Answers will vary. Page 40: Space Satellite 2.44, 2.46, 2.48 Page 36: Fraction Flippers 3 8 of the box of candy Page 37: Building in Space a. 7; b. 7; c. 5 64 Page 41: Cosmic Blast 0.3, 1.6, 1.72, 3.7, 5.35, 6.8, 14.7, 16.1, 78.2