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DazzlingMath Line
Designs
By Cindi Mitchell
N E W Y O R K • T O R O N T O • L O N D O N • A U C K L A N D • S Y D N E Y
M E X I C O C I T Y • N E W D E L H I • H O N G K O N G
S C H O L A S T I C
BPROFESSIONAL OOKS
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Scholastic Inc. grants teachers permission to photocopy the activity sheets from this book for classroom use. No otherpart of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in anyform or by any means, electronic, mechanical, photocopying, recording, or otherwise, without written permission ofthe publisher. For information regarding permission, write to Scholastic Inc., 555 Broadway, New York, NY 10012.
Cover design by Pamela Simmons and Kirsten BergerInterior design by Solutions by Design, Inc.
Interior illustrations by Cindi Mitchell
ISBN 0-590-00088-8Copyright © 1999 by Cindi Mitchell
All rights reserved.Printed in the U.S.A.
To my husband, Jim Mitchell, who believed in me before I believed in myself.
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!
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ContentsIntroduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Skills Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Math Line Designs to ColorPicture-Perfect Star (Multiplication: Two Digits x One Digit) . . . . . . . . . . . . . . . . . . . . . 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
Math Line Designs to CreateThe North Star (Multiplication: Two Digits x One-Digit) . . . . . . . . . . . . . . . . . . . . . . . . . 25
In the Wink of an Eye (Multiplication: Two Digits x Two Digits). . . . . . . . . . . . . . . . . . . 26
Weaving Webs (Multiplication: Three Digits x One Digit) . . . . . . . . . . . . . . . . . . . . . . . . 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
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Fraction Flippers (Fractions: Multiplication) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 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
Math Line Designs to ConstructHow to Assemble the 3-D Constructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
The Great Pyramid (Multiplication: Basic Facts) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
A Tornado of Pentagons (Multiplication: Two Digits x One Digit) . . . . . . . . . . . . . . . . . 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
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5
Introduction
M athematics is everywhere! We use it totile a floor, build a skyscraper, or createdesigns like the ones in this book.
When students begin to make the connectionbetween art and math, their eyes light up andmathematics becomes more than a row of tediousproblems on the page. I hope that by creating thedesigns on these pages, your students will discoverand enjoy the creative side of mathematics.
How to Use This BookThere are three different types of activities in thisbook. Teaching tips for each type follow.
Designs to Color (pages 8–24) are geometricshapes with basic mathproblems in them.Students solve theproblems, then colorthe shapes based onthe answers. The fin-ished designs will makea perfect addition toyour math learningcenter or bulletinboard. For thesedesigns, students needcrayons or coloredpencils. Tell students to solve all of the problemsbefore they start coloring.
In the section Designs to Create (pages 25–41),students also solve math problems. Then they
draw straight lines toconnect dots besidethe problems to thedots beside theiranswers. When all ofthe dots have beenconnected, beautifulline designs emergethat are suitable forframing. For thesedesigns, students needa ruler, a sharp pencil,and an eraser. One of
the activities requires a compass. Again, encour-age students to solve all of the problems before
they start drawing. Tell them to work carefully, asmany activities have more answers than problemsto be solved.
Designs to Construct (pages 42–61) are funand easy to make. Students complete math problems, then colorthe shapes based onthe answers. After col-oring the design, students simply cut itout, then fold and tapeit together. (Easyassembly how-tos areprovided on pages 42and 43.) For thesedesigns, students needcrayons or colored pencils, scissors, andtape. The finished products are colorful three-dimensional designs that can be hung on mobiles,used as holiday ornaments, or given as gifts.
Note: It’s not necessary for fourth and fifthgraders to learn the names for complex geometricshapes. But you will no doubt have some studentswho want to learn these technical definitions.You’ll find the term for each construction listedon pages 42 and 43.
To help you use this book along with yourmath curriculum, the chart on pages 6 and 7 orga-nizes the activities by skill area and level. You cansee at a glance all of the activities that focus on aspecific math skill—for example, subtraction offractions with unlike denominators.
Many of the activity pages include a Taking ItFurther problem. These problems are designed tochallenge students by allowing them to apply themath operation used to complete the main designactivity. Answers to these problems can be foundon pages 62–64.
Don’t let students stop with these activities.Invite them to create their own designs for theirclassmates to color, create, and construct!
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FRACT IONSAddition with Unlike DenominatorsStained Glass
Octagon
Solve the problems. Then rename the answers in lowest terms.If the answer is �� or greater, color the shape green.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. D
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Boo
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18
Name ___________________________________________________________
52048
416
28
14
12
27
49 +
23
18 + 5
915 +
23
19 +1
349 +
13
611 +
25
16 +1
1358 +
16
57 + 2
518 +
23
312 +2
529 +
730
115 +
18
316 +
13
37 +
15
17 +
710
112 +
14
59 +
221
17 +3
1038 + 2
3211 +1
319 +
13
112 +
14
524 + 1
3115 +
The North Star
Solve the problems. Then connect the dot beside each problem to the dot besideits 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.
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MULT IPL ICAT IONTwo Digits x One Digit
Name _______________________________________________________
+
=
15
+
15
=
x
x
x
9
5
7
=
=
=
+
=
34
+
21
=
x
x
x
6
6
6
=
=
=
147 348214 350
234 360244 150
232 108412 267
495 126
58 x 6
87 x 4
45 x 8
18 x 6
21 x 655 x 9
29 x 8
39 x 6
49 x 3
21 x 7
72 x 526 x 9
12 x 958 x 4
14 x 999 x 5
Queen’s Gem
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Name _______________________________________________________
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 .
DEC IMALSMultiplication
81.2 x 8.6
21.2 x 33.6
9.2 x 89.6
42.2 x 9.6
17.2 x 19.6
1.6 x 7.6
41.2 x 6.8
9.9 x 9.6
D
D
A
A
E
E
F
C
B
F
C
B
98.2 x 8.8
77.2 x 9.9
72.6 x 6.2
59.2 x 14.2
12.2 x 44.6
93.2 x 2.9
1.8 x 7.9
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PAGEMATH SKILL TITLE OF ACTIVITY NUMBER
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
Skills MatrixThe chart on these two pages organizes the activities in this book by skill area.
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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
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MULT IPL ICAT IONTwo Digits x One Digit
Name _______________________________________________________
Picture-Perfect Star
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 c. 41 x _______ = 246
68x 7
38x 2 95
x 5
68x 8
84x 9
90x 9
97x 6
68x 9
87x 9
79x 9
74x 9
79x 8
90x 8
99x 9
92x 7
97x 9
88x 9
66 x
988 x 7
71 x
869 x 9
94 x 8
82 x 9
89x 6
91x 8
98x 8
99x 6
82x 3
81x 4
56x 5
79x 4 11
x 9
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MULT IPL ICAT IONTwo Digits x Two Digits
Name _______________________________________________________
Soccer Balls
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. 4 9
x 2 __
1,078
b. 7 8x __9
1,482
c. 5 5x 3__
1,925
80x 26
96x 42
24x 20
48x 48
96x 26
34x 28
16x 36
54x 28
65x 13
45x 31
47x 23
59x 29
61x 23
75x 23
89x 23
45x 22
68x 26
75x 13
65x 21
55x 52
45x 22
27x 57
77x 23
49x 71
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MULT IPL ICAT IONThree Digits x One Digit
Name _______________________________________________________
Purple Blossoms
Solve the problems.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? _____________
380x 6
178x 4
348x 9
508x 7
948x 9
841x 8
246x 4
361x 6
234x 1
716x 8
340x 5
443x 4
711x 7
699x 6
588x 9
741x 8
909x 7
592x 7
799x 8
650x 9
272x 8
319x 4
247x 7
300x 9
973x 8
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MULT IPL ICAT IONThree Digits x Two Digits
Name _______________________________________________________
Into the Abyss
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?
318x 49
618x 99
399x 59
888x 79
618x 49
500x 49
776x 85
701x 79
438x 29
200x 16
859x 84
688x 79
690x 80
373x 36
412x 69
912x 99
798x 80
494x 29
578x 19
571x 33
914x 78
898x 69
478x 61
541x 26
608x 76
511x 99
578x 79
378x 11
178x 39
778x 69
868x 89
526x 54
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DIV IS IONTwo Digits ÷ One Digit With Remainder
Name _______________________________________________________
Honeycomb
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 R8 b. ____ ÷ 7 = 7 R4 c. ____ ÷ 4 = 5 R1
14 ÷ 6
15 ÷ 2 13 ÷ 3 45 ÷ 7
15 ÷ 854 ÷ 723 ÷ 6
66 ÷ 9 28 ÷ 3 19 ÷ 253 ÷ 633 ÷ 763 ÷ 8
27 ÷ 5 62 ÷ 7 76 ÷ 9 17 ÷ 4 11 ÷ 680 ÷ 9
15 ÷ 9 41 ÷ 686 ÷ 7 37 ÷ 6
33 ÷ 9
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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 22 8 __ __
– 8 8880 6
– o 60 4
– o 40
13
DIV IS IONThree Digits ÷ One Digit With No Remainder
Name _______________________________________________________
Flying Carpet
Taking It Further:Fill in the missing digits.
2 8 8 0
3 9 0 32 9 9 2
3 6 0 3
3 8 9 7
3 9 9 0
6 7 3 8 2 7 4 2
2 9 8 22 3 9 2
3 9 9 64 5 7 6 2 5 0 2
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DIV IS IONThree Digits ÷ One Digit With Remainder
Name _______________________________________________________
OctagonRemainders
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 8have four different remainders.
5 286
9 281
9 5446 298 5 388 4 547
���7 632
3 265
���7 487
���4 379
8 124
8 588
5 272
2 187
4 226 2 167
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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.
0 1 0 R196 8 __9 9
15
DIV IS IONThree Digits ÷ Two Digits With Remainder
Name _______________________________________________________
Fourteen Boxes
0 1 0 R275 7 5 9 __
0 2 1 R73 2 6 __ 9
19 193 27 764
33 731 83 83621 303
73 958 64 96129 874
15 68252 473 16 18441 578
33 465 61 861
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16
Name _______________________________________________________
Spring Flowers
Rename the fractions.
If the fraction equals , color the shape orange.
If the fraction equals , color the shape yellow.
If the fraction equals , 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 thefollowing fractions once: , , and .a. b. c.1
76
14
17
12
214414
17
21417
1530
721
2142
1133
1545
728
1040
25100
936
1734
45135
1938
714
927
50100
1442
39
1122
1442
918
FRACT IONSRenaming 0.1 0.1
12
1314
814
414
114
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Into InfinityFRACT IONS
Addition With Like Denominators
17
Solve the problems. Then rename the answers in lowest terms.
If the answer is , , or , color the shape purple.
If the answer is , , or , color the shape blue.
If the answer is , , or , color the shape green.
If the answer is , , or , color the shape yellow.
If the answer is or , 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.a. + ___ = b. + ___ = c. + ___ = 1
0.1 0.1Name _______________________________________________________
220
320 + 2
16216 +
116
116 +
310
210 + 2
616 +
114
114 +
24
14 +
14
18
12
13
17
23
34
78
35
45
910
720
1120
18
12
47
1112
57
116
210
410 +
512
612 + 5
10410 +
712
412 + 8
10110 +
25
15 +
614
414 + 2
10610 +
29
49 +
28
48 + 3
848 +
29
19 +
740
340 +
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FRACT IONSAddition With Unlike DenominatorsStained-Glass
Octagon
Solve the problems. Then rename the answers in lowest terms.If the answer is or greater, color the shape green.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
0.1 0.1Name _______________________________________________________
52048
416
28
14
12
27
49 +
23
18 + 5
915 +
23
19 +1
349 +
13
611 +
25
16 +1
1358 +
16
57 + 2
518 +
23
312 +2
529 +
730
115 +
18
316 +
13
37 +
15
17 +
710
112 +
14
59 +
221
17 +3
1038 + 2
3211 +1
319 +
13
112 +
14
524 + 1
3115 +
12
12
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TrefoilFRACT IONS
Subtraction With Like Denominators
19
0.1 0.1Name _______________________________________________________
Solve the problems. Rename the answers in lowest terms.If the answer is or greater, color the shape red.If the answer is less than , 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.a. – ___ = b. – ___ = c. – ___ = 0
18
78
– 110
910
–
112
712
– 28
78
–
46
76
–
218
918 –
312
712 –
14
24 – 1
5
35 –
35
45 –
810
910 –
511
711 –
48
78 –
68
78 –
915
1415 –
19
49 –
320
1820
–
118
1518
– 116
1316
–
29
89
–
215
1215
–
113
1113
–
14
34
–
12
12
1820
1720
89
23
47
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20
FRACT IONSSubtraction With Unlike Denominators 0.1 0.1
Name _______________________________________________________
Fireworks
Solve the problems. Rename the answers in lowest terms.If the answer is �� or greater, color the shape yellow.If the answer is less than �� , 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 theanswers in lowest terms.
a. – ___ = b. ___ – = c. – ___ =
524
78
–
116
12
–
130
110
–
14
720
– 13
47
–
29
2027
–
16
910
–
36
45
–
23
79
–
313
1926
–
17
914
–
15
2025
–
211
3033
–
12
1011
–
28
1112
–
23
1415
–
37
835
23
314
910
13
12
12
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21
Name _______________________________________________________
Kaleidoscope ofFlowers
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 linesbelow the dots: 4.9, 1.7, 2.5, and 0.2.
1 2 3 4 50
21.05 3.45
1.15113.95
5.91
30.51
5 6755.7 5.89
5.01
65
5.090
3,795
2.589
7.56,543.5
5.4
0.050 6.05
0.9517.95
5.98
0.5 1.57
1.500.51
25.13
DEC IMALSPlace Value 0.11 0.1
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22
DEC IMALSAddition 0.11 0.1
Name _______________________________________________________
Dottie’s Quilt
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 = __________________
94.5
+ 7
.12
2.9 + 98.12
76.0
5 +
27.1
2
9.5
+ 73
.1
67.5
+ 2
7.12
2 +
79.1
2
24.5
+ 7
.12
28.5 + 71.12
28.5 + 72.2
6.5 + 88.62
88.5 + 7.09
92.7 + 9.5
76.5 + 21.12
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Lantern GlowDEC IMALS
Subtraction
23
0.11 0.1Name _______________________________________________________
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 = _____
5.2– 4.1 9.24
– 2.996.1
– 65.8
8.97– 4.56
0.74– 0.52
9.62– 1.1
4.47– 1.04
7.30– 3.09
0.78– 0.4
9.9– 2.47
8.9– 6.7
8.6– 2.0
9.8– 5.1
8.9– 3.1
6.9– 2.3
7.8– 3.1
6.6– 2.0
6.0– 1.1
8.0– 4.2
5.6– 3.5
2.7– 1.7
2.2– 1.1
6.0– 5.7
3.8– 1.7
8.9– 6.9
2.9– 1.6
5.3– 2.2
4.5– 1.4
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DEC IMALSMultiplication 0.11 0.1
Name _______________________________________________________
Stars andStripes
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 ChocolateNutty Dream Bars. If she makes 5 batches of Chocolate Nutty Dream Bars, howmany candy bars will she need?
9.9
10.9
10.8
11.4
6.9
7.1
1.6
7.4
8.6
16.2
7.8
8.79
6.7
4.41
9.0 10.8
5.88 6.2
4.05 6.8
19.1 9.8
4.69 5.99
3.0 3.7
61.7 73.4
12.8 11.8
5.4
2.9
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The North Star
Solve the problems. Then connect the dot beside each problem to the dot besideits 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.
25
MULT IPL ICAT IONTwo Digits x One Digit
Name _______________________________________________________
+
=
15
+
15
=
x
x
x
9
5
7
=
=
=
+
=
34
+
21
=
x
x
x
6
6
6
=
=
=
147 348214 350
234 360244 150
232 108412 267
495 126
58 x 6
87 x 4
45 x 8
18 x 6
21 x 655 x 9
29 x 8
39 x 6
49 x 3
21 x 7
72 x 526 x 9
12 x 958 x 4
14 x 999 x 5
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26
MULT IPL ICAT IONTwo Digits x Two Digits
Name _______________________________________________________
In the Wink of an Eye
Solve the problems.If the answer is even, connect the dot beside each problem to the heart on theright- 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.
a. 1 6x 1 __
3 0 4
b. 2 __x 3 3
8 9 1
c. __ 8x 2 2
6 1 6
d. 1 3x __ 4
3 1 2
79x 12
95x 36
25x 46
81x 14
83x 17 55
x 13
49x 52
58x 42
71x 17 25
x 1327
x 3460
x 3353
x 7361
x 1116x 34 41
x 2372
x 32
87x 33
25x 17
44x 20
62x 12
21x 61
23x 45
30x 42
26x 35
23x 13
37x 11
98x 34
57x 7324
x 20
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27
MULT IPL ICAT IONThree Digits x One Digit
Name _______________________________________________________
Weaving Webs
Solve the problems.Then connect the dot above each problem on Line A to the dot beside its answeron 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 onLine C.Taking It Further: Fill in the missing numbers so that each equation equals 1,000.
a. 2 5 0x 1 11111 , 0 0 0
b. 2 0 0x 1 11111 , 0 0 0
c. 1 0 0x 1 11111 , 0 0 0
d. 1 2 5x 1 111
1 , 0 0 0
167x 4
3,344
1,200
882
995
600
756
618
6681,336
1,178
3,612
1,107
1,018
956
378
5,400
309x 2
252x 3
150x 4
199x 5
126x 7
300x 4
418x 8
126x 3
478x 2
509x 2
369x 3
903x 4
589x 2
900x 6
334x 4
Line B
Line C
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28
MULT IPL ICAT IONThree Digits x Two Digits
Name _______________________________________________________
Goose Egg
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 thateach problem is correct: 41, 37, 42 a. 1 7 5
x 1 1111
6 , 4 7 5
b. 3 9 3x 1 11111
1 6 , 1 1 3
c. 8 0 4x 1 11111
4 9 , 8 4 8
55,200 421 x 91
50,339 609 x 52
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
621 x 33 311 x 83
505 x 91 491 x 40
181 x 84 201 x 55
127 x 61 160 x 71
531 x 20
10,62015,204 11,05511,360
118 x 90
25,81319,640
11,0677,74720,49345,955
33,088
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29
DIV IS IONBasic Facts
Name _______________________________________________________
Mirror Image
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, _______ , _______ , _______ , _______ , _______ , 963, 56, 49, _______ , _______ , _______ , _______ , _______ , 7
27 ÷ 324 ÷ 6
81 ÷ 916 ÷ 4
28 ÷ 436 ÷ 6
63 ÷ 942 ÷ 7
40 ÷ 832 ÷ 4
20 ÷ 432 ÷ 4
18 ÷ 97 ÷ 7
16 ÷ 89 ÷ 9
25 7 9 4 6 8
1
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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.
30
DIV IS IONThree Digits ÷ One Digit With No Remainder
Name _______________________________________________________
Whirling Fan
+
=
155
+
130
=
÷
÷
÷
5
5
5
=
=
=
+
=
282
+
354
=
÷
÷
÷
6
6
6
=
=
=
279 ÷ 9120 ÷ 891
88
72
29
43
31
6515 14 18 21 48 45
12 24 51 35 40 17
28
52
19
20
25153 ÷ 9130 ÷ 2
301 ÷ 7126 ÷ 9
320 ÷ 8140 ÷ 5
174 ÷ 6126 ÷ 7
175 ÷ 5416 ÷ 8
216 ÷ 3189 ÷ 9
255 ÷ 5133 ÷ 7
440 ÷ 5240 ÷ 5
192 ÷ 8120 ÷ 6
364 ÷ 4270 ÷ 6
108 ÷ 9225 ÷ 9
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DIV IS IONThree Digits ÷ One Digit With Remainder
Name _______________________________________________________
Into the Black Hole
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 to have a remainder of at least 1.) What is the greatest possible dividend?
2 9 R9
632 ÷ 7 754 ÷ 8
94 R290 R2
780 ÷ 9192 ÷ 9
86 R621 R3
557 ÷ 6584 ÷ 6
92 R597 R2
888 ÷ 9679 ÷ 8
98 R684 R7
169 ÷ 4402 ÷ 5
42 R180 R2
177 ÷ 4442 ÷ 7
44 R163 R1
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DIV IS IONThree Digits ÷ Two Digits With Remainder
Name _______________________________________________________
Gift Bow
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 answermust have a remainder of 2.
34 R27192 ÷ 19
19 R34739 ÷ 31
31 R8504 ÷ 16
45 R1811 ÷ 18
10 R2979 ÷ 28
23 R26870 ÷ 44
279 ÷ 14492 ÷ 37
30 R221 R7
812 ÷ 27322 ÷ 15
19 R1313 R11
2 9 R2
9
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0.1 0.1FRACT IONS
Equivalent Fractions
Name _______________________________________________________
Supernova
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.
, , , __________ , __________ , __________ ,
34
13
37
714
38
16
35
912
924
1030
921
1428
68
78
19
12
17
14
1112
1416
981
1530
321
728
3336
46
910
210
18
324
15
1820
23
318
1523
510
1020
1530
3570
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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 improper fractions that equal 1 . The shaded blocks will form a letter. What letter do you see?
34
FRACT IONSImproper Fractions to Mixed Fractions
Name _______________________________________________________
Fly’s Eye
96
64
128
73
3020
1510
45
1812
2114
32
65
97
2416
2718
3926
194
122
172
563
181
351
231
561
132
191
1102
671
131
171
85
1610
98
1816
4612
236
157
3014
104
52
379
7418
86
43
87
1614
137
2614
4220
2110
109
2018
73
146
2212
116
53
106
0.1 0.1
12
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Solve the problems. Rename the answers in lowest terms. Then connect the dotbeside 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 givensums. The first one has been done for you.
13
13
23
58
27
89
1415
919
1725
+
0.1 0.1
35
FRACT IONSAddition With Like Denominators
Name _______________________________________________________
Starburst
+ + + + + + +
19
49
+ 212
312
+ 37
37
+ 48
18
+ 218
318
+ 515
415
+ 14
24
+ 35
15
+ 36
26
+ 13
13
+ 410
510
+ 213
913
+ 114
414
+ 117
917
+ 311
711+ 3
168
165
12
59
58
67
915
518
45
34
23
56
1113
910
1017
514
1116
1011
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FRACT IONSMultiplicationFraction Flippers
36
0.1 0.1Name _______________________________________________________
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 �� of a box of Crackle Crunch Candies. He ate �� of it. What portion of the box of candy was left? _________________
14
58 x
410
49 x1
3612 x1
312 x4
925 x
35
56 x3
336 x1
25
16 x
14
14 x
23
27 x
48
56 x 1
849 x 6
927 x
26
16 x 5
612 x 1
218 x
116
512
521
112
118
421
16
845
13
641
532
12
12
34
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0.1 0.1FRACT IONS
Division
Name _______________________________________________________
Building in Space
Solve the problems. Rename the answers in lowest terms. Then connect the dotbeside each problem to the dot beside its answer.
Taking It Further: Fill in the missing numbers in the problems below.
a. ÷ = b. ÷ = or c. ÷ = or
23
38 ÷2
918 ÷
25
15 ÷1
316 ÷
17
19 ÷2
279 ÷
45
16 ÷ 3
518 ÷
15
15 ÷1
818 ÷
59
13 ÷5
624 ÷
35
524
79
12
916
1
19
1 79
23
6 1418
79
2 23
610
35
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DEC IMALSComparing 0.11 0.1
38
Name _______________________________________________________
Ring of Stars
Form a star polygon by connecting the dots beside the decimals inside thepentagon. Begin with the smallest decimal and continue connecting the dots untilyou 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.
0.70 _____ 0.7
0.90 _____ 0.09
6.900 _____ 6.9 0.30 _____ 0.3
9.007 _____ 9.70
End Start
1.20.109
1.060.8
0.731.077
0.0991.73
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DEC IMALSRounding 0.11 0.1
39
Name _______________________________________________________
Decimal Flower
You will need a compass to complete this design. Set your compass points asshown below. Then round each decimal in the design to the nearest wholenumber. If the decimal rounds to 5, place your compass point on the dot besidethat 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 wholenumber by one. If that number is less than 5, the whole number stays the same.)
Put your compass point here. • • Place your pencil point here.
Taking It Further: Write 10 decimals that equal 9 when rounded to the nearestwhole number.
(radius of the circle)
4.06 4.45
4.87 4.99
5.64 4.095
5.4 5.15
4.45 5.7
4.79 4.59
5.5 5.64.60
5.01
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DEC IMALSAddition 0.11 0.1
Name _______________________________________________________
Space Satellite
Solve the problems. Then connect the dot beside each problem on Line A to thedot beside its answer on Line B. The answer to each problem appears twice onLine 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?
3.3 + 0.286.5
6.7
13.3
5.9
5.01
21.5
20
3.08
3.58
18.1 + 1.9
4.01 + 1
5.6 + 0.3
0.9 + 12.4
4.7 + 1.8
3.2 + 3.3
0.9 + 12.4
4.2 + 1.7
3.89 + 1.12
4.9 + 15.1
2.2 + 1.38
3.58
3.08
20
21.5
5.01
5.9
13.3
6.7
6.5
Line ALine B
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41
DEC IMALSDecimals ÷ Whole Numbers 0.11 0.1
Name _______________________________________________________
Cosmic Blast
Solve the problems. Rename the answers in lowest terms. Then connect the dotbeside 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 orderfrom smallest to greatest.
2.7 ÷ 9 469.2 ÷ 6
27.2 ÷ 4
25.9 ÷ 7 26.75 ÷ 5
96.6 ÷ 6 9.6 ÷ 6
8.6 ÷ 5 102.9 ÷ 7
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How to Assemble the 3-D ConstructionsThe activity pages that follow (pages 44–61) give students the opportunity to color designs based onanswers to mathematical problems and then construct them into three-dimensional shapes. While mostof 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)Cut out the pattern along the outer solid linesand fold along the dotted lines.Tape each flap to theunderside of the large squareshape. Fold down the smallsquare and tape it in place.
Twirling Top (page 46)Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape flap A to the underside offigure 1. Tape flap B to theunderside of figure 2. Then carefullytape the other flaps on figure 2 to theunderside of figure 1.
A Tornado of Pentagons (page 45) and Dodecahedron Blossoms(page 47)Cut out the pattern along theouter solid lines and foldalong the dotted lines. Tapeeach lettered flap inalphabetical order to theunderside of the pentagonnext to it. Tape the numberedtabs on figure 2 to the underside of figure 1.
Circus Tent (page 48)Cut out the pattern along the outersolid lines and fold along thedotted lines. Tape flap D to theunderside of D. Do the samething with the rest of the flaps.
Dazzling Jewel (page 49)Cut out the pattern along the outersolid lines and fold along thedotted lines. Tape each flap to theunderside of a triangle shape.
Bull’s Eye Box (page 50)Cut out the pattern alongthe outer solid lines andfold along the dottedlines. Tape each flap tothe underside of arhombus shape.
Dawn is Breaking (page 51)Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape each flap to the inside ofthe cone.
Circus Barrel (page 52)Cut out the pattern along the outersolid lines and fold along thedotted lines. Tape each flap to theunderside of an octagon orrectangle shape.
Rolling Hearts (page 53)Cut out the pattern along theouter solid lines and fold alongthe dotted lines. Tape each flap tothe underside of the cylinder.
truncated square pyramid
rhombus
cone
octagonal prism
cylinder
octahedron
dodecahedron
pentagonal pyramid
trapezohedron
0.11 0.1
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Checkerboard Fractions (page 54)Cut out the pattern along theouter solid lines and foldalong the dotted lines. Tapeeach unlettered flap to theunderside of the triangleshape beside it. Tape flap A tothe underside of side A. Do thesame thing with the rest of thelettered flaps.
Jester’s Cube (page 55)Cut out the pattern along theouter solid lines and foldalong the dotted lines.Tape each flap to theunderside of a square shape.
Lunar Module (page 56)Cut out the pattern along the outer solid lines and fold along thedotted lines. Tape flap A to theunderside of side A. Do thesame thing with the rest of theflaps.
Greenhouse Fractions (page 57)Cut out the pattern along the outer solidlines and fold along the dotted lines.Tape each flap to the underside of a rectangle shape.
Whirling Triangles (page 58)Cut out the pattern along the outersolid lines and fold along the dotted lines. Tape each flap to theunderside of a triangle shape.
Bug Box (page 59)Cut out the pattern along the outer solid lines and fold alongthe dotted lines.Tape each flap to theunderside of either arectangle or a squareshape.
Queen’s Gem (page 60)Cut out the pattern along theouter solid lines and foldalong the dotted lines.Tape flap A to the undersideof side A. Do the same thingwith the rest of the flaps.
King’s Treasure Chest (page 61)Cut out the shape along the outer solidlines and fold along the dottedlines. Tape each flap to theunderside of a pentagon orrectangle shape.
How to Assemble the 3-D Constructions
icosahedron
cube
triangular prism
triangular pyramid
rectangular prism
pentagonal prism
double pentagonal pyramid
cuboctahedron
0.11 0.1
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MULT IPL ICAT IONBasic Facts
Name _______________________________________________________
The Great Pyramid
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.
If the answer is between 1 and 20, color the shape _______________________.
If the answer is between 21 and 40, color the shape _______________________.
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 .
8 x 53 x 5
3 x 36 x 6
6 x 9
9 x 97 x 7
6 x 11
5 x 54 x 5
6 x 5 2 x 8
9 x 5
7 x 10
8 x 8
8 x 7
2 x
6
7 x
42
x 8
4 x
6
7 x 6
3 x 5
8 x 9
8 x 67 x 9
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45
MULT IPL ICAT IONTwo Digits x One Digit
Name _______________________________________________________
A Tornado ofPentagons
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 .
30 62
44
94
21
81
69 49
77
8J
7
6
5
h
g
3
4
2
1f
a
b
c
d
e
i
99
12
37
Figure 1
Figure 2
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MULT IPL ICAT IONTwo Digits x Two Digits
Name _______________________________________________________
Twirling Top
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 .
95x 68
45x 19
86x 46
19x 79
58x 74
77x 17
96x 12
73x 23
92x 19
35x 25
54x 19
47x 43
22x 12
35x 11
26x 35
87x 71
16x 18
65x 13
42x 93
67x 69
Figure 1
Figure 2
Flap BFlap A
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MULT IPL ICAT IONThree Digits x Two Digits
Name _______________________________________________________
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 .
DodecahedronBlossoms
477x 37
527x 29
579x 85
837x 16
749x 23
377x 38
639x 24
478x 82
788x 95
156x 36
289x 61
997x 11
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DIV IS IONBasic Facts
Name _______________________________________________________
Circus Tent
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 .
49 ÷ 7D
C
A
B
C
D
B
A
30 ÷ 5
18 ÷ 9
72 ÷ 9
36 ÷ 9
10 ÷ 5
20 ÷ 5
40 ÷ 5
56 ÷ 7
18 ÷ 3
12 ÷ 3
15 ÷ 5
27 ÷ 9
25 ÷ 5
18 ÷ 9
16 ÷ 4
64 ÷ 8
36 ÷ 6
42 ÷ 632 ÷ 4
12 ÷ 4
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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 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 .
49
DIV IS IONTwo Digits ÷ One Digit With Remainder
Name _______________________________________________________
Dazzling Jewel
34 ÷ 9
66 ÷ 8
13 ÷ 7
41 ÷ 6
67 ÷ 7
47 ÷ 8
49 ÷ 5
79 ÷ 8
27 ÷ 4
35 ÷ 9
11 ÷ 4
48 ÷ 719 ÷ 2
20 ÷ 7
26 ÷ 9
10 ÷ 3
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DIV IS IONThree Digits ÷ Two Digits With No Remainder
Name _______________________________________________________
Bull’s-Eye Box
208 ÷ 26
189 ÷ 63
136 ÷ 34
189 ÷ 21258 ÷ 43
119 ÷ 17
328 ÷ 82
133 ÷ 19
270 ÷ 45
455 ÷ 91
196 ÷ 49
495 ÷ 55
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 .
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DIV IS IONAveragingDawn is
Breaking
51
Name _______________________________________________________
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
28, 59, 99
13, 52, 49
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Name _______________________________________________________
Circus Barrel
Rename each fraction.
If the fraction is equivalent to �� , color the shape red.
If the fraction is equivalent to �� , color the shape orange.
If the fraction is equivalent to �� , color the shape yellow.
If the fraction is equivalent to �� , color the shape blue.
For more fun, cut out the design and fold it into an .
515 45
90416
525
612 7
21
728
420
39
510
412
520
735
918
927
1560
840
1040
816
630
832 27
81
510
945
FRACT IONSRenaming 0.1 0.1
12
13
14
15
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0.1 0.1
53
Name _______________________________________________________
Rolling Hearts
Rename each improper fraction as a mixed or a whole number.If the answer is 5 �� or greater, color the shape pink. If the answer is less than 5 �� , 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 .
205
366
188
397
289
479
647
455
125
5610
338
374
379
294
133
192
113
FRACT IONSImproper Fractions to Mixed or Whole Numbers
12
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FRACT IONSAddition With Like Denominators 0.1 0.1
Name _______________________________________________________
CheckerboardFractions
Solve the problems. Rename the answersin lowest terms.If the answer is �� or greater, color the shape red.If the answer is less than �� , color the shape black.
For more fun, cut out the design fold it into an .
29
19 +
412
112 +
27
17 +
825
225 +
28
18 +
924
324 +
410
110 +
834
934 +
28
48 +
211
411 +
18
68 +
13
13 +
214
514 +
720
1220 +
830
730 +
240
840 +
317
417 +
39
19 +
216
216 +
215
315 +
C
C
A
A
B
B
12
12
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Jester’s CubeFRACT IONS
Subtraction With Unlike Denominators
55
0.1 0.1Name _______________________________________________________
Solve the problems.If the answer is �� or larger, color the shape blue.If the answer is less than �� , color the shape yellow.
For more fun, cut out the design and fold it into a .
12
78 –
112
34 –
116
14 –
19
1518 –
23
34 –
18
1316 –
12
23 –
14
1720 –
12
56 –2
549 –
15
1720 –1
679 –
110
45 –
422
911 –
26
715 –1
358 –
325
55 –
14
78 –
12
45 –1
612 –
916
78 –7
1278 –
14
910 –1
61012 –
12
12
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FRACT IONSAddition of Mixed Fractions 0.1 0.1
Name _______________________________________________________
Lunar Module
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 .
+
472126
+
459
12251 +
1227
122+
122478
+
5667
186
+
793235
+
8114346
+
785141
+
598346
+
234
11183 +
479231
+
255345
+
233
11125
+
234566
A
A
D
D
E
E
B
B
J
CC
K
K
J
G
H
II
HG
F
F
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FRACT IONSSubtraction of Mixed Numbers With RegroupingGreenhouse
Fractions
57
0.1 0.1Name _______________________________________________________
Solve the problems. Rename the answers in lowest terms.If the fractional part of the answer is less than �� , color the shape green.If the fractional part of the answer is �� or greater, color the shape yellow.
For more fun, cut out the design and fold it into a .
–
116513181 –
12133411 –
138891 –
179131
–
384341 –
1291
107 –
5123341 –
110184511
–
158341 –
132381
–
126381 –
179381
–
137291 –
197141
–
161731211 –
16183411 –
1810145 –
17133411
–
179232 –
1218585 –
16193410 –
3810374
–
129588 –
110145 –
3812129 –
137194
12
12
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Name _______________________________________________________
WhirlingTriangles
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 designand fold it into a .
88.913
0.013
7.13
5.37
9.30.03
3.703
0.32.03
6.153
0.113
9.043
8.03
1.3
0.19
30.
13
8.37
12.1
036.
13
2.30
9.10
38.19
3
9.13
9.3
9.73
8.34
6.93
8.37
78.883
12.832
12.73
4.3
1.36
9.103
1.736
8.3
DEC IMALSPlace Value 0.11 0.1
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Bug BoxDEC IMALS
Subtraction
59
0.11 0.1Name _______________________________________________________
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 .
489.6– 211.7
6.05– 3.01
605.4– 115.5
5.99– 4.01
481.2– 131.3
787.2– 722.5
906.0– 408.8
3.31– 1.92
459.3– 118.9
818.8– 219.9
970.0– 560.9
811.0– 212.8
1,109.1– 833.9
759.08– 12.11
1,050.7– 725.7
969.2– 69.3
891.8– 70.7
667.6– 132.9
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Queen’s Gem
60
0.11 0.1Name _______________________________________________________
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 .
DEC IMALSMultiplication
81.2 x 8.6
21.2 x 33.6
9.2 x 89.6
42.2 x 9.6
17.2 x 19.6
1.6 x 7.6
41.2 x 6.8
9.9 x 9.6
D
D
A
A
E
E
F
C
B
F
C
B
98.2 x 8.8
77.2 x 9.9
72.6 x 6.2
59.2 x 14.2
12.2 x 44.6
93.2 x 2.9
1.8 x 7.9
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DEC IMALSDecimals ÷ Whole Numbers 0.11 0.1
Name _______________________________________________________
King’s Treasure Chest
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 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 .
15.4
8 ÷
3 31.8 ÷684
.8 ÷
4 43.8 ÷379
.2 ÷
8 37.8 ÷610
.4 ÷
4
11.6
÷2
7.6 ÷2
58.8
÷6
38.5 ÷ 5 43.8 ÷ 6 68.6 ÷ 7 37.84 ÷ 8
7.8 ÷ 6
11.2 ÷ 8
13.14 ÷ 9
73.2 ÷6
12.6 ÷9 78
.4 ÷
843.2 ÷8 48
.3 ÷
79.9 ÷3
66.2
2 ÷
511.22 ÷2 23
.73
÷735.85 ÷
5
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Answers for Taking It Further Questions,pages 8-42
Page 8: Picture-Perfect Stara. 9; b. 7; c. 6
Page 9: Soccer Ballsa. 2; b. 1; c. 5
Page 10: Purple Blossoms222
Page 11: Into the Abyss333
Page 12: Honeycomba. 26; b. 53; c. 21
Page 13: Flying Carpet
Page 14: Octagon RemaindersAnswers will vary.
Page 15: Fourteen Boxesa. 7; b. 7; c. 6
Page 16: Spring Flowers
Page 17: Into Infinity
a. b. c.
Page 18: Stained-Glass Octagon
Page 19: Trefoil
a. b. c.
Page 20: Fireworks
a. b. c.
Page 21: Kaleidoscope of Flowers
Page 22: Dottie’s Quilt820.11
Page 23: Lantern Glowa. 2.391; b. 69.63; c. 76.03; d. 3.888
Page 24: Stars and Stripes7.5 candy bars
Page 25: The North Star
62
Answers
����4 3 2
2 8 6 4– 8 o o
0 6– o 6 o
0 4– o 4 o
0
420
38
37
120
29
47
15
3742
1730
14
520
48
14
12
416
12
14
28
1 2 3 4 50
0.2 1.7 2.5 4.9
17614
414
17
12
214414
114
17
214
814
17
0.11 0.1
135
+
75
=
210
15
+
15
=
30
x
x
x
9
5
7
=
=
=
204
+
126
=
330
34
+
21
=
55
x
x
x
6
6
6
=
=
=
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63
Page 26: In the Wink of an Eyea. 9; b. 7; c. 2; d. 2
Page 27: Weaving Websa. 4; b. 5; c. 10; d. 8
Page 28: Goose Egga. 37; b. 41; c. 62
Page 29: Mirror Imagea. 54, 45, 36, 27, 18b. 42, 35, 28, 21, 14
Page 30: Whirling Fan
Page 30:
Page 31: Into the Black Holesmallest dividend: 262greatest dividend: 269
Page 32: Gift BowAnswers will vary.
Page 33: Supernova
, ,2040
2550
3060
0.11 0.1
31
+
26
=
57
155
+
130
=
285
÷
÷
÷
5
5
5
=
=
=
47
+
59
=
106
282
+
354
=
636
÷
÷
÷
6
6
6
=
=
=
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Page 34: Fly’s Eye
The shaded blocks form the letter S.
Page 35: StarburstAnswers will vary.
Page 36: Fraction Flippers
of the box of candy
Page 37: Building in Spacea. 7; b. 7; c. 5
Page 38: Ring of Stars0.70 = 0.7; 9.007 < 9.70, 0.30 = 0.3; 6.900 = 6.9; 0.90 > 0.09
Page 39: Decimal FlowerAnswers will vary.
Page 40: Space Satellite2.44, 2.46, 2.48
Page 41: Cosmic Blast0.3, 1.6, 1.72, 3.7, 5.35, 6.8, 14.7, 16.1, 78.2
64
38
64
3020
32
97
1510
96
73
2114
65
2718
128
45
1812
24163926
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