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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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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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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24

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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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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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

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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61

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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