MathLineDesigns.pdf

8/16/2019 MathLineDesigns.pdf

1/64

DazzlingMath Line

DesignsBy 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

BP ROFESSIONAL OOKS

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ContentsIntroduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5Skills Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

Math Line Designs to ColorPicture-Perfect Star (Multiplication: Two Digits x One Digit) . . . . . . . . . . . . . . . . . . . . . 8Soccer Balls (Multiplication: Two Digits x Two Digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9Purple Blossoms (Multiplication: Three Digits x One Digit) . . . . . . . . . . . . . . . . . . . . . . . 10Into the Abyss (Multiplication: Three Digits x Two Digits) . . . . . . . . . . . . . . . . . . . . . . . . 11Honeycomb (Division: Two Digits ÷ One Digit With Remainder) . . . . . . . . . . . . . . . . . . . . . 12Flying Carpet (Division: Three Digits ÷ One Digit With No Remainder) . . . . . . . . . . . . . . . 13Octagon Remainder (Division: Three Digits ÷ One Digit With Remainder) . . . . . . . . . . . . 14Fourteen Boxes (Division: Three Digits ÷ Two Digits With Remainder) . . . . . . . . . . . . . . . . 15Spring Flowers (Fractions: Renaming) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16Into Infinity (Fractions: Addition With Like Denominators) . . . . . . . . . . . . . . . . . . . . . . . 17Stained-Glass Octagon (Fractions: Addition With Unlike Denominators) . . . . . . . . . . . . 18Trefoil (Fractions: Subtraction With Like Denominators) . . . . . . . . . . . . . . . . . . . . . . . . . . 19Fireworks (Fractions: Subtraction With Unlike Denominators) . . . . . . . . . . . . . . . . . . . . . . 20Kaleidoscope of Flowers (Decimals: Place Value) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21Dottie’s Quilt (Decimals: Addition) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22Lantern Glow (Decimals: Subtraction) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23Stars and Stripes (Decimals: Multiplication) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

Math Line Designs to CreateThe North Star (Multiplication: Two Digits x One-Digit) . . . . . . . . . . . . . . . . . . . . . . . . . 25In the Wink of an Eye (Multiplication: Two Digits x Two Digits) . . . . . . . . . . . . . . . . . . . 26Weaving Webs (Multiplication: Three Digits x One Digit) . . . . . . . . . . . . . . . . . . . . . . . . 27Goose Egg (Multiplication: Three Digits x Two Digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28Mirror Image (Division: Basic Facts) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29Whirling Fan (Division: Three Digits ÷ One Digit With No Remainder) . . . . . . . . . . . . . . . 30Into the Black Hole (Division: Three Digits ÷ One Digit With Remainder) . . . . . . . . . . . . . 31Gift Bow (Division: Three Digits ÷ Two Digits With Remainder) . . . . . . . . . . . . . . . . . . . . . 32Supernova (Fractions: Equivalent Fractions) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33Fly’s Eye (Fractions: Improper Fractions to Mixed Fractions) . . . . . . . . . . . . . . . . . . . . . . . 34Starburst (Fractions: Addition With Like Denominators) . . . . . . . . . . . . . . . . . . . . . . . . . 35

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Fraction Flippers (Fractions: Multiplication) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36Building in Space (Fractions: Division) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37Ring of Stars (Decimals: Comparing) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38Decimal Flower (Decimals: Rounding) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39Space Satellite (Decimals: Addition) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40Cosmic Blast (Decimals: Decimals ÷ Whole Numbers) . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

Math Line Designs to ConstructHow to Assemble the 3-D Constructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42The Great Pyramid (Multiplication: Basic Facts) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44A Tornado of Pentagons (Multiplication: Two Digits x One Digit) . . . . . . . . . . . . . . . . . 45Twirling Top (Multiplication: Two Digits x Two Digits) . . . . . . . . . . . . . . . . . . . . . . . . . . 46Dodecahedron Blossoms (Multiplication: Three Digits x Two Digits) . . . . . . . . . . . . . . . . 47Circus Tent (Division: Basic Facts) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48Dazzling Jewel (Division: Two Digits ÷ One Digit With Remainder) . . . . . . . . . . . . . . . . . . 49Bull’s-Eye Box (Division: Three Digits ÷ Two Digits With No Remainder) . . . . . . . . . . . . . . 50Dawn is Breaking (Division: Averaging) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51Circus Barrel (Fractions: Renaming) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52Rolling Hearts (Fractions: Improper Fractions to Mixed or Whole Numbers) . . . . . . . . . . . 53Checkerboard Fractions (Fractions: Addition With Like Denominators) . . . . . . . . . . . . . 54

Jester’s Cube (Fractions: Subtraction With Unlike Denominators) . . . . . . . . . . . . . . . . . . . 55Lunar Module (Fractions: Addition of Mixed Fractions) . . . . . . . . . . . . . . . . . . . . . . . . . . 56Greenhouse Fractions (Fractions: Subtraction of Mixed Numbers With Regrouping) . . . . . 57Whirling Triangles (Decimals: Place Value ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58Bug Box (Decimals: Subtraction) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59Queen’s Gem (Decimals: Multiplication) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60King’s Treasure Chest (Division: Decimals ÷ Whole Numbers) . . . . . . . . . . . . . . . . . . . . 61Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62


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Introduction

M athematics is everywhere! We use it totile a oor, build a skyscraper, or createdesigns like the ones in this book. When students begin to make the connection

between 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 geometric

shapes with basic mathproblems in them.Students solve theproblems, then colorthe shapes based onthe answers. The n-ished designs will makea perfect addition to

your math learningcenter or bulletinboard. For these

designs, 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 of

the 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 fun

and easy to make. Students complete mathproblems, then colorthe shapes based onthe answers. After col-oring the design,students simply cut it out, then fold and tapeit together. (Easy assembly how-tos areprovided on pages 42and 43.) For thesedesigns, students needcrayons or coloredpencils, scissors, andtape. The nished 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 fthgraders to learn the names for complex geometricshapes. But you will no doubt have some students

who want to learn these technical denitions. You’ll nd 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 aspecic math skill—for example, subtraction of fractions with unlike denominators.

Many of the activity pages include a Taking It Further problem. These problems are designed 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!

1

F R A C T I O N S

Addition wit h Unlike De nominatorsStained GlassOctagon

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 othershapes with the colors of your choice.Taking It Further:Complete the magic square so that

each row and column adds up to 1. Rename anyfractions in lowest terms. D a z z l i n g

M a t

h L i n e

D e s

i g n s

S c

h o

l a s t

i c P r o

f e s s

i o n a

l B o o

k s

18

Name ___________________________________________________________

52048

416

28

14

12

27

49 +

23

18 +

59

15 +

23

19 +

13

49 +

13

611 +

25

16 +

113

58 +

16

57 +

25

18 +

23

312 +

25

29 +

7 30

115 +

18

316 +

13

37 +

15

17 +

7 10

112 +

14

59 +

221

17 +

310

38 +

23

211 +

13

19 +

13

112 +

14

524 +

13

115 +

The NorthStar

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 acrossand add downto complete thepuzzles.

D a z z l

i n g

M a t

h L i n e

D e s

i g n s

S c

h o

l a s t

i c P r o

f e s s

i o n a

l B o o

k s

25

M U LT I P L I C AT I O NTwo Digits x One Digit

Name _______________________________________________________

+

=

15+

15=

x

x

x

9

5

7

=

=

=

+

=

34+21=

x

x

x

6

6

6

=

=

=

147 348214 350

234 360

244 150232 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

D a z z l

i n g

M a t

h L i n e

D e s

i g n s

S c

h o

l a s t

i c P r o

f e s s i o n a

l B o o

k s

60

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 thedesign and fold it into a .

D E C I M A L S

Multiplication

8 1 .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 7.64 1 . 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

1 2 .2 x 4 4 .6 9 3 . 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 44Multiplication: 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 48Division: 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 5

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 Innity

Fractions: Addition With Like Denominators Starburst 3Fractions: Addition With Like Denominators Checkerboard Fractions

Fractions: Addition With Unlike Denominators Stained Glass Octagon 1

Fractions: Addition of Mixed Fractions Lunar Module 5

Fractions: Subtraction With Like Denominators Trefoil 1

Fractions: Subtraction With Unlike Denominators Fireworks 2

Fractions: Subtraction With Unlike Denominators Jester’s Cube 5

Fractions: Subtraction of Mixed Numbers With Regrouping Greenhouse Fractions

Fractions: Improper Fractions to Mixed Fractions Fly’s Eye

Fractions: Improper Fractions to Mixed or Whole Numbers Rolling Hearts

Fractions: Multiplication Fraction Flippers 36

Fractions: Division Building in Space 37

Decimals: Place Value Kaleidoscope of Flowers 21

Decimals: Place Value Whirling Triangles 58Decimals: 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 4

Decimals: Decimals ÷ Whole Numbers King’s Treasure Chest

7

1


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Name _______________________________________________________

Picture-PerfectStar

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

68 x 7

38 x 2 95

x 5

68 x 8 84 x 9

90 x 9

97 x 6

68 x 9

87 x 9

79 x 9

74 x 9

79 x 8

90 x 8

99 x 9

92 x 7

97 x 988 x 9

6 6 x 9 8 8 x 7

7 1 x 86 9 x

9

94 x 8

82 x 9

89 x 6

91 x 8

98 x 8

99 x 6

82 x 3

81 x 4

56 x 5

79 x 4 11

x 9


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M U LT I P L I C AT I O NTwo 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 8 x __91,482

c. 5 5 x 3__1,925

80 x 26

96 x 42

24 x 20

48 x 48

96 x 26

34 x 28

16 x 36

54 x 28

65 x 13

45 x 31

47 x 23

59 x 29

61 x 23

75 x 23

89 x 23

45 x 22

68 x 26

75 x 13

65 x 21

55 x 52

45 x 22

27 x 57

77 x 23

49 x 71


10/6410

M U LT I P L I C AT I O NThree Digits x One Digit

Name _______________________________________________________

Purple Blossoms

Solve the problems.If the answer is between1 and 250, color the shape yellow.If the answer is between251 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? _____________

380 x 6

178 x 4

348 x 9

508 x 7

948 x 9

841 x 8

246 x 4

361 x 6

234 x 1

716 x 8

340

x 5

443

x 4

711 x 7

699 x 6

588 x 9

741 x 8

909 x 7

592 x 7

799 x 8

650 x 9

272 x 8

319 x 4

247 x 7

300 x 9

973 x 8


11/6411

M U LT I P L I C AT I O NThree 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?

318 x 49

618 x 99

399 x 59

888 x 79

618 x 49

500 x 49 776 x 85

701 x 79

438 x 29

200 x 16

859 x 84

688 x 79

690 x 80

373 x 36

412 x 69

912 x 99

798 x 80

494 x 29

578 x 19

571 x 33

914 x 78

898 x 69

478 x 61

541 x 26

608 x 76

511 x 99

578

x 79

378

x 11

178 x 39

778 x 69

868 x 89

526 x 54


12/6412

D I V I S I O NTwo 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 R 8 b. ____ ÷ 7 = 7 R4 c. ____ ÷ 4 = 5 R1

14 ÷ 6

15 ÷ 2 13 ÷ 3 45 ÷ 7 15 ÷ 854 ÷ 7 23 ÷ 6

66 ÷ 9 28 ÷ 3 19 ÷ 2 53 ÷ 633 ÷ 7 63 ÷ 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 othershapes with the colors of your choice.

4 3 22 8 __ __

– 8 8880 6

– o 60 4

– o 40

13

D I V I S I O NThree Digits ÷ One Digit With No Remainder

Name _______________________________________________________

FlyingCarpet

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 6 4 5 7 6 2 5 0 2


14/6414

D I V I S I O NThree 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


15/64

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 R19

6 8 __9 9

15

D I V I S I O NThree Digits ÷ Two Digits With Remainder

Name _______________________________________________________

FourteenBoxes

0 1 0 R27 5 7 5 9 __

0 2 1 R7 3 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


16/6416

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

7 6

14

17

12

214414

17

21417

1530

7 21

2142

1133

1545

7 28

1040

25100

936

17 34

45135

1938

7 14

927

50100

1442

39

1122

1442

918

F R A C T I O N SRenaming

121314

814

414

114


17/64

Into InfinityF R A C T I O N S

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

Name _______________________________________________________

220

320 +

216

216 +

116

116 +

310

210 +

26

16 +

114

114 +

24

14 +

14

18

12

13

17

23 34 7 835

45

910

7 20

1120

18

12

47

1112

57

116

210

410 +

512

612 +

510

410 +

7 12

412 +

810

110 +

25

15 +

614

414 +

210

610 +

29

49 +

2848 + 3848 +

29

19 +

7 40

340 +


18/64

F R A C T I O N S Addition 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 othershapes with the colors of your choice.

Taking It Further:Complete the magic square so thateach row and column adds up to 1. Rename anyfractions in lowest terms.

18

Name _______________________________________________________

52048

416

28

14

12

27

49 +

2318 + 5915 +

23

19 +

13

49 +

13

611 +

25

16 +

113

58 +

16

57 +

25

18 +

23

312 +

25

29 +

7 30

115 +

18

316 +

13

37 +

15

17 +

7 10

112 +

14

59 +

221

17 +

310

38 +

23

211 +

13

19 +

13

112 +

14

524 +

13

115 +

12

12


19/64

TrefoilF R A C T I O N S

Subtraction With Like Denominators

19

Name _______________________________________________________

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

7 8 –

110

910 –

112

7 12 –

28

7 8 –

46

7 6 –

2 1 8

9 1 8 –

3 1 2

7 1 2 –

1 4

2 4 – 1

5

3 5 –

3 5

4 5 –

8 1 0

9 1 0 –

5 1 1

7 1 1 –

4 8

7 8 –

6 8

7 8 –

9 1 5

1 4 1 5 –

1 9

4 9 –

320

1820 –

118

1518 –

116

1316 –

29

89 –

215

1215 –

1

13

11

13–

14

34 –

12

12

1820

17 20

89

23

47


20/6420

F R A C T I O N SSubtraction With Unlike Denominators

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

7 8 –

11612 –

130

110 –

1

4

7

20– 1

3

4

7 –

29

2027 –

16

910 –

36

45 –

23

7 9 –

313

1926 –

17

914 –

15

2025 –

211

3033 –

12

1011 –

2

8

11

12–

23

1415 –

37

835

23

314

910

13

12

12


21/6421

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

D E C I M A L SPlace Value 1


22/6422

D E C I M A L SAddition 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 = __________________

9 4. 5

+ 7

. 1 2

2.9 + 98.12

7 6. 0 5

+ 2 7. 1 2

9. 5

+ 7 3

. 1

6 7. 5

+ 2 7.

1 2

2 + 7 9

. 1 2

2 4. 5

+ 7

. 1 2

2 8 .5 + 7 1 .1 2

2 8 .5 + 7 2 .2

6 .5 + 8 8 .6 2

8 8 .5 + 7 .0 9

9 2 .7 + 9 .5

7 6 .5 + 2 1 .1 2


23/64

Lantern GlowD E C I M A L S

Subtraction

23

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

–2.9

96.1

– 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


24/6424

D E C I M A L SMultiplication 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


25/64

The NorthStar

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 acrossand add downto complete thepuzzles.

25


Name _______________________________________________________

+

=

15+

15=

x

x

x

9

5

7

=

=

=

+

=

34+

21=

x

x

x

6

6

6

=

=

=

147 34214 350234 360

244 150232 108

412 267 495 126

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


26/6426


Name _______________________________________________________

In the Winkof 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 ineach missing numberin these equations.

a. 1 6 x 1 __

3 0 4

b. 2 __ x 3 3

8 9 1

c. __8 x 2 2

6 1 6

d. 1 3 x __ 4

3 1 2

79 x 12

95 x 36

25 x 46 81 x 14

83

x 17 55 x 1349

x 5258

x 4271

x 17 25 x 1327

x 3460

x 3353

x 7361

x 1116 x 34

41 x 23

72 x 32

87 x 33

25 x 17

44 x 20

62 x 12

21 x 61

23 x 45

30 x 42

26 x 35

23 x 13

37 x 11

98 x 34

57 x 7324 x 20


27/6427

M U LT I P L I C AT I O NThree 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 rst 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 0 x 1 11111 , 0 0 0

b. 2 0 0 x 1 11111 , 0 0 0

c. 1 0 0 x 1 11111 , 0 0 0

d. 1 2 5 x 1 1111 , 0 0 0

167 x 4

3,344

1,200882

995

600

756

6186681,336

1,178

3,612

1,107

1,018956

378

5,400

309 x 2

252 x 3

150 x 4

199 x 5

126 x 7

300 x 4

418 x 8

126 x 3

478 x 2

509 x 2

369 x 3

903 x 4

589 x 2

900 x 6

334 x 4

Line B

Line C

Line A


28/6428


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 11116 , 4 7 5

b. 3 9 3 x 1 111111 6 , 1 1 3

c. 8 0 4 x 1 111114 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

11,067 7,747 20,49345,955

33,088


29/6429

D I V I S I O NBasic Facts

Name _______________________________________________________

Mirror Image


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


30/64

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

D I V I S I O NThree Digits ÷ One Digit With No Remainder

Name _______________________________________________________

WhirlingFan

+

=

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 ÷ 7 126 ÷ 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


31/6431

D I V I S I O NThree Digits ÷ One Digit With Remainder

Name _______________________________________________________

Into theBlack Hole


Taking It Further:In the problem below, what is the smallest possible dividend?(Hint: You must have a large enough dividendto 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


32/6432

D I V I S I O NThree Digits ÷ Two Digits With Remainder

Name _______________________________________________________

Gift Bow


Taking It Further:Fill in the boxes with any numbers you choose. Your answermust have a remainder of 2.

34 R27 192 ÷ 19

19 R34739 ÷ 31

31 R8504 ÷ 16

45 R1811 ÷ 18

10 R2979 ÷ 28

23 R26870 ÷ 44

279 ÷ 14492 ÷ 37

30 R221 R7

812 ÷ 27 322 ÷ 15

19 R1313 R11

2 9 R29


33/6433

F R A C T I O N SEquivalent 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

7 14

38

16

35

912

924

1030

921

1428

68

7 8

19

12

17

14

1112

1416

981

1530

321

7 28

3336

46

910

210

18

324

15

1820

23

31

1523

510

1020

1530

3570


34/64

Connect the dot beside each improper fractionto the dot beside its equivalent mixed fraction.The rst line has been drawn for you.

Taking It Further:Shade the blocks that haveimproper fractions that equal 1 . The shadedblocks will form a letter. What letter do you see?

34

F R A C T I O N SImproper Fractions to Mixed Fractions

Name _______________________________________________________

Fly’s Eye

9664 1287 3

3020

1510

45

1812

2114

32

65

97

2416

27 18

3926

194122

17 2563

1

81351231561

132

191110267 1

131

17 1

85

1610

98

18

164612

236

157

3014

104

52

37 9

7418

8643

87

1614

137

2614

4220

2110

109

2018

7 3

146

2212

116

53

106

12


35/64

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 rst one has been done for you.

13

13

23

58

27

89

1415

919

17 25

+

35

F R A C T I O N S Addition With Like Denominators

Name _______________________________________________________

Starburst

+ + + + + + +

19

49 + 2

123

12+ 37

37

+ 4818+ 218

318

+ 5154

15

+ 1424

+35

15

+ 3626

+ 1313

+ 410510

+ 213913+ 114

414

+ 117 9

17 + 311

7 11+ 316

816

512

59

58

67

915

518

45

34

23

56

1113

910

1017

514

1116

1011


36/64

F R A C T I O N SMultiplicationFraction Flippers

36

Name _______________________________________________________

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? _________________

1458 x

410

49 x

13

612 x

13

12 x

49

25 x

3556 x 3336 x 12516 x

14

14 x

23

27 x

48

56 x

18

49 x

69

27 x

26

16 x

56

12 x

12

18 x

116

5

12

521

112

118

421

16

845

13

641

532

12

12

34


37/6437

F R A C T I O N SDivision

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

2

3

3

8÷2

9

1

8÷

25

15 ÷

13

16 ÷

17

19 ÷

22

7 9 ÷

45

16 ÷

35

18 ÷

1515 ÷1818 ÷

59

13 ÷

56

24 ÷

35

524

7 9

12

916

1

19

1 7 9

23

6 1418

7 9

2 23

610

35


38/64

D E C I M A L SComparing 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 until

you reach the largest decimal. The rst 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


39/64

D E C I M A L SRounding 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 whole

number. If the decimal rounds to 5, place your compass point on the dot besidethat number and draw a circle. Watch a ower 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 5.6

4.60

5.01


40/6440

D E C I M A L S Addition 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 sumof 7.38?

3.3 + 0.286.5

6.7 13.3

5.9

5.0121.5

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

3.0820

21.55.01

5.9

13.3

6.7

6.5

Line ALine B


41/6441

D E C I M A L SDecimals ÷ Whole Numbers 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


42/6442

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 most of the designs are self-explanatory, these two pages give complete construction directions. If you like,enlarge the patterns on a photocopier before having students construct them.

The Great Pyramid (page 44)Cut out the pattern along the outer solid linesand fold along the dotted lines.Tape each ap 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 ap A to the underside of gure 1. Tape ap B to theunderside of gure 2. Then carefully tape the other aps on gure 2 to theunderside of gure 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 ap inalphabetical order to theunderside of the pentagonnext to it. Tape the numberedtabs on gure 2 to theunderside of gure 1.

Circus Tent (page 48)Cut out the pattern along the outersolid lines and fold along thedotted lines. Tape ap D to theunderside of D. Do the samething with the rest of the aps.

Dazzling Jewel (page 49)Cut out the pattern along the outersolid lines and fold along thedotted lines. Tape each ap 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 ap 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 ap to the inside of the cone.

Circus Barrel (page 52)Cut out the pattern along the outersolid lines and fold along thedotted lines. Tape each ap 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 ap tothe underside of the cylinder.

truncated square pyramid

rhombus

cone

octagonal prism

cylinder

octahedron

dodecahedron

pentagonal pyramid

trapezohedron

1


43/6443

Checkerboard Fractions (page 54)Cut out the pattern along theouter solid lines and foldalong the dotted lines. Tapeeach unlettered ap to theunderside of the triangleshape beside it. Tape ap A tothe underside of side A. Do thesame thing with the rest of thelettered aps.

Jester’s Cube (page 55)Cut out the pattern along theouter solid lines and foldalong the dotted lines.Tape each ap to theunderside of a square shape.

Lunar Module (page 56)Cut out the pattern along the outersolid lines and fold along thedotted lines. Tape ap A to theunderside of side A. Do the

same thing with the rest of theaps.

Greenhouse Fractions (page 57)Cut out the pattern along the outer solidlines and fold along the dotted lines.Tape each ap to the undersideof a rectangle shape.

Whirling Triangles (page 58)Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape each ap to theunderside of a triangle shape.

Bug Box (page 59)Cut out the pattern along the outersolid lines and fold alongthe dotted lines.Tape each ap 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 ap A to the undersideof side A. Do the same thing

with the rest of the aps.

King’s Treasure Chest (page 61)Cut out the shape along the outer solidlines and fold along the dottedlines. Tape each ap 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

1


44/6444

M U LT I P L I C AT I O NBasic 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 thedesign and fold it into a .

8 x 5

3 x 5

3 x 3 6 x 6

6 x 9

9 x 9 7 x 7

6 x 1 1

5 x 5 4 x 5

6 x 5 2 x 8

9 x 5

7 x 1 0

8 x 8

8 x 7

2 x 6

7 x 4

2 x 8

4 x 6

7 x 6

3 x 5

8 x 9

8 x 6 7 x 9


45/6445


Name _______________________________________________________

A Tornado ofPentagons

Multiply each number by 7.If the answer is between1 and 200, color thespiral pentagon red.If the answer is between201 and 400, color thespiral pentagon green.If the answer is between401 and 600, color the

spiral pentagon pink.If the answer is between601 and 900, color thespiral pentagon yellow.

For more fun,cut out thedesign andfold 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


46/6446


Name _______________________________________________________

Twirling Top

Solve theproblems.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 .

95 x 68

45 x 19

86 x 46

19

x 79

58 x 74

77 x 17

96 x 12

73 x 23

92 x 19

35 x 25

54 x 19

47 x 43

22 x 12 35 x 11

26 x 35

87 x 71

16 x 18

65 x 13

42 x 93

67 x 69

Figure 1

Figure 2

Flap BFlap A


47/6447


Name _______________________________________________________

Solve the problems.If the answer ends inan even number,color theshape yellow.If the answerends in anodd number,color theshape orange.

For more fun,cut out thegure andfold it into a .

DodecahedronBlossoms

477 x 37

527 x 29

579 x 85

837 x 16

749 x 23

377 x 38

639 x 24

478 x 82

788 x 95

156 x 36

289 x 61

997 x 11


48/6448

D I V I S I O NBasic 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 andfold it into a . 49 ÷ 7 D

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


49/64

Solve the problems.Then color the design.Here’s how:1. Choose two colors

that you like.2. Write the name ofone of the colors oneach line below.3. Color the design.If the remainder is1, 2, 3, 4, or 5, color theshape _________________.

If the remainder is6, 7, 8, or 9, color theshape _________________.


49

D I V I S I O NTwo Digits ÷ One Digit With Remainder

Name _______________________________________________________

Dazzling Jewel

34 ÷ 9

66 ÷ 8

13 ÷ 7

41 ÷ 667 ÷ 7

47 ÷ 8

49 ÷ 5

79 ÷ 8

27 ÷ 4

35 ÷ 9

11 ÷ 4

48 ÷ 7 19 ÷ 2

20 ÷ 7

26 ÷ 9

10 ÷ 3


50/6450

D I V I S I O NThree Digits ÷ Two Digits With No Remainder

Name _______________________________________________________

Bull’s-EyeBox

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 bycoloring the other shapeswith the colors of your choice.



51/64

D I V I S I O N AveragingDawn is

Breaking

51

Name _______________________________________________________

Average each set of three numbers.If the average is between1 and 20, color the shape orange.If the average is between21 and 40, color the shape yellow.If the average is between41 and 70, color the shape red.


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


52/6452

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 designand fold it into an .

515 45

90

4

16525

612 7

21

7 28

420

39

510

412

520

7 35

918

927

1560

840

1040

816

630

832 27

81

510

945

F R A C T I O N SRenaming

1

2131415


53/6453

Name _______________________________________________________

RollingHearts

Rename each improper fractionas 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 coloringthe rest of the shapes withthe colors of your choice.

For more fun, cut outthe design and fold it into a .

205

366

188

397

289

47 9

647

455

125

5610

338

37 4

37 9

294

133

192

113

F R A C T I O N SImproper Fractions to Mixed or Whole Numbers

12

12


54/6454

F R A C T I O N S Addition With Like Denominators

Name _______________________________________________________

CheckerboardFractions

Solve the problems.Rename the answersin lowest terms.If the answer is orgreater, color the shape red.If the answer is less than ,

color the shape black.For more fun, cut outthe designfold it into an .

2919 +

412

112 +

27

17 +

825

225 +

28

18 +

924324 +

410

110 +

834

934 +

28

48 +

211

411 +

18

68 +

13

13 +

2

14

5

14+

7 20

1220 +

830

7 30 +

240

840 +

317

417 +

3

9

1

9+

216

216 +

215

315 +

C

C

A

A

B

B

12

12


55/64

Jester’s CubeF R A C T I O N S

Subtraction With Unlike Denominators

55

Name _______________________________________________________

Solve the problems.If the answer is orlarger, color the shape blue.If the answer is less than ,color the shape yellow.


12

7 8 –

112

34 –

116

14 –

19

1518 –

23

34 –

18

1316 –

12

23 –

1417 20 –

12

56 –

25

49 –

15

17 20 –

16

7 9 –

110

45 –

422

911 –

26

7 15 –

13

58 –

325

55 –

14

7 8 –

12

45 –

16

12 –

9167 8 –7 127 8 –

14

910 –

16

1012 –

12

12


56/6456

F R A C T I O N S Addition of Mixed Fractions

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 ______________.


+

47 2126

+

459

12251 +

1227 122 +

12247 8

+

5667

186

+

7 93235

+

8114346

+

7 85141

+

598346

+

234

11

183

+

47 9231

+

255345

+

233

11125

+

234 566

A A

D

D

E

E

B

B

J

CC

K

K

J

G

H

II

HG

F

F


57/64

F R A C T I O N SSubtraction of Mixed Numbers With RegroupingGreenhouse

Fractions

57

Name _______________________________________________________

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 thedesign and fold it into a .

–

116513181 –

12133411 –

138891 –

17 9131

–

384341 –

1291107 –

5123341 –

110184511

–

158341 –

132381

–

126381 –

17 9381

–

137291 –

197141

–

161731211 –

16183411 –

1810145 –

17 133411

–

17 9232 –

1218585 –

16193410 –

381037 4

–

129588 –

110145 –

3812129 –

137194

12

12


58/6458

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 .1 3

5 .3 7

9 . 3

0 . 0 3

3 . 7 0 3

0 . 3

2 . 0 3

6 . 1 5 3

0 . 1

1 3

9 . 0 4 3

8 . 0 3

1 . 3

0 . 1 9 3

0. 1 3

8. 3 7

1 2 . 1

0 3

6. 1 3

2. 3 0

9 . 1 0 3

8 . 1 9 3

9 . 1

3

9 . 3

9. 7 3

8. 3 4

6 . 9 3

8 .3 7

78.883

1 2 . 8 3 2

1 2 .7 3

4. 3

1 .3 6

9.103

1 .7 3 6

8 .3

D E C I M A L SPlace Value 1


59/64

Bug BoxD E C I M A L S

Subtraction

59

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.


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


60/64

Queen’s Gem

60

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.


D E C I M A L SMultiplication

8 1 .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 7.64 1 . 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

1 2 .2 x 4 4 .6 9 3 . 2 x 2 . 9

1 . 8

x 7 . 9


61/6461

D E C I M A L SDecimals ÷ Whole Numbers 1

Name _______________________________________________________

King’sTreasure Chest

Solve the problems. Then colorthe 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 designand fold it into a .

1 5

. 4 8

÷ 3 3

1 . 8 ÷

6 8 4

. 8 ÷ 4 4 3

. 8 ÷

3 7 9

. 2 ÷ 8 3 7

. 8 ÷

6 1 0

. 4 ÷ 4

1 1

. 6 ÷ 2

7 . 6 ÷

2 5 8

. 8 ÷ 6

38.5 ÷ 5 43.8 ÷ 6 68.6 ÷ 7 37.84 ÷ 8

7.8 ÷ 6

11.2 ÷ 8

13.14 ÷ 9

7 3 . 2 ÷

6

1 2 . 6 ÷

9 7 8

. 4 ÷ 84 3

. 2 ÷

8 4 8

. 3 ÷ 79

. 9 ÷

3 6 6

. 2 2

÷ 51 1

. 2 2 ÷

2 2 3

. 7 3

÷ 73

5 . 8 5 ÷

5


62/64

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 Remainders Answers 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

17

614 414

17

12

214

414114 17

214

814

17

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

=

=

=


63/6463

Page 26: In theWink 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 Bow Answers will vary.

Page 33: Supernova

, ,2040

2550

3060

1

31+

26=

57

155+

130=

285

÷

÷

÷

5

5

5

=

=

=

47+

59=

106

282+

354=

636

÷

÷

÷

6

6

6

=

=

=


64/64

Page 34:Fly’s Eye

The shadedblocks formthe letter S.

Page 35: Starburst Answers 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 Flower Answers will var y.

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

38

64

30203297

1510

9673

211465

2718

12845

181224163926

Documents

MathLineDesigns.pdf