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Math

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Kaleidoscope

by Cindi Mitchell and Jim Mitchell



To Lovinia Mitchell, with love.

Special thanks to Deborah Schecter and Jaime Lucero for their guidance and patience during the layout

and design of this book. We would also like to thank Marty and Tess Sherer, owners of the ShererGallery in Sedona, Arizona, for sharing their knowledge and their extraordinary collection of kaleidoscopes with us.

Scholastic Inc. grants teachers permission to photocopy the activity sheets from this book for classroom use. No other part of this publication may be

reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying,

recording, or otherwise, without written permission of the publisher. For information regarding permission, write to Scholastic Inc., 555 Broadway, New York,

NY 10012-3999.

Cover design by Norma Ortiz

Interior design and illustrations by Jim Mitchell,

except pages 6-8 by James Graham Hale

ISBN: 0-439-08676-0

Copyright © 2001 by Cindi Mitchell and Jim Mitchell

All rights reserved.

Printed in the U.S.A.



Contents

About This Book 5

Kaleidoscope Basics 6

How to Make a Kaleidoscope 7

Make Kaleidoscope Math Art 8

Resources 9

Animal Friends Place Value: 1’s, 10’s 10

Snowflake Place Value: 1’s, 10’s, 100’s 11

Purty Birds Place Value: 10’s, 100’s, 1000’s 12

Fruit Slice Even and Odd Numbers 13

Riding in Circles Even and Odd Numbers 14

Pastel Wreath Even and Odd Numbers 15

Confetti Even and Odd Numbers 16

Twirling Tops Addition to 8 17

Creeping Lizards Addition to 10 18

Giant Dinosaurs Addition to 10 19

Giggle Bugs Addition to 12 20

Swirling Shapes Addition to 12 21Honk, Honk Addition to 18 22

Circle of Stars Addition to 18 23

Birds Playing Addition to 10: Three Addends 24

Luck of the Irish Addition to 18: Three Addends 25

High Flyer Addition With Multiples of 10 26

Rain Forest Frogs Addition With Multiples of 10 27

Fireworks Addition: Two Digits Without Regrouping 28

Sunburst Addition: Two Digits Without Regrouping 29

Sparkles Addition: Two Digits With Regrouping 30

Colorful Hearts Addition: Two Digits With Regrouping 31

Blooming Poinsettias Addition: Three Digits Without Regrouping 32

Tennis, Anyone? Addition: Three Digits Without Regrouping 33

Lots of Snakes Addition: Three Digits With Regrouping 34

Crown Jewel Addition: Three Digits With Regrouping 35

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Continued



Wandering Stars Subtraction From 8 36

Kissing Fish Subtraction From 10 37

Cat and Mouse Game Subtraction From 10 38

Bright Sunshine Subtraction From 12 39Spinning Pinwheels Subtraction From 12 40

Twinkling Star Subtraction From 18 41

Flower Ring Subtraction From 18 42

Flamingos Subtraction: Two Digits Without Regrouping 43

Halo of Lights Subtraction: Two Digits Without Regrouping 44

Fiery Sky Subtraction: Two Digits With Regrouping 45

Flower Wallpaper Subtraction: Two Digits With Regrouping 46

Puff Balls Subtraction: Three Digits Without Regrouping 47Candlelights Subtraction: Three Digits With Regrouping 48

Monkey Business Subtraction: Three Digits With Regrouping 49

Strawberries Subtraction: Three Digits With Regrouping 50

Dancing Butterflies Multiplication: 1’s and 2’s 51

Ring of Peace Multiplication: 3’s and 4’s 52

Rainy Day Multiplication: 5’s and 6’s 53

Anchors Aweigh! Multiplication: 7’s and 8’s 54

Seahorses Multiplication: 9’s 55

Yummy Apples Division: 1’s and 2’s 56

Seals Playing Division: 3’s and 4’s 57

Shark Attack Division: 5’s and 6’s 58

Sail Away Division: 7’s and 8’s 59

Giddy Up! Division: 8’s and 9’s 60

Make Kaleidoscope Math Art

Half Moons 61

Jumping Dolphins 63

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About This Book

ay the word kaleidoscope and images of dazzling, colorful repeatingpatterns come to mind. Kaleidoscopes havefascinated children and adults alike since they werefirst invented in the early 1800s.

Sir David Brewster was a scientist who studied theprinciples of light. He was fascinated by whathappened when light was reflected. Brewstercarefully placed three mirrors in a tube and attacheda rotating chamber to hold pieces of broken colored

glass. The results were marvelous. The images viewed when gazing intothe tube were vibrant, ever-changing geometric collages formed by thereflections of the broken glass in the mirrors.

Brewster applied for a patent and marketed hiscreation as a toy. The inventor put three Greek wordstogether to name the toy: kalos , beautiful; eidos ,form; and skopeo , I see. Most people would agreethat the images and colors reflected by this simpledevice are, indeed, beautiful forms to see!

In this book you will find a collection of kaleidoscopic images for yourstudents to color and enjoy. On each activity page, they will first solveaddition, subtraction, multiplication, and division problems and then use akey at the bottom of the page to determine how to color the designs. Allyour students will need to complete these activities are colored pencils ormarkers, and a regular pencil.

You may wish to use the activities in this book toreinforce basic math skills. To further extend the math,science, and art connection, you may want to

introduce some of the basic principles of reflectionand have students make a simple kaleidoscopebefore beginning the activity pages. You’ll finddirections for a more in-depth look at this topic on thefollowing pages.

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S



Kaleidoscope Basics

4. As students begin using the activity pages, encourage them to usetheir set of mirrors to explore the designs before coloring them. Forexample, in Circle of Stars (page 23), ask students todescribe the overall shape. (a hexagon ) How manytriangles are inside the hexagon? (six ) Have themplace the hinged corner of the mirrors on the centerof the circle and then line up the mirrors with thesides of one triangle.

T

3. Then, invite students to experiment with the mirrors by placing themcloser together to form a right angle. How many reflections do they seenow? (four ) Next, have them test an acute angle. Guide students togeneralize that the farther apart the mirrors, the fewer the reflections; the

closer together, the more images they see.

Place two mirrors side by side,facedown on a flat surface. Tape thebacks of the mirrors together, leaving atiny space between them. This will allowthe mirrors to bend after they are taped.

To begin, have students position the mirrorsso that they form an obtuse angle. Tell them toplace a coin or another small object between thetwo mirrors. How many images or reflections dothey see? (two )

2.

1.

hrough the use of mirrors, kaleidoscopes create multiple repeatingimages and patterns. To figure out how kaleidoscopes work, it is best tostart with a hinged mirror. (See Resources, page 9.) If you do not havehinged mirrors, students can create their own:

5. Ask students how many images they see in themirrors. (six ) Have them remove the mirrors andlook at the whole page. They will notice that the image in the mirrors andthe image on the paper are identical — both show a hexagon with sixtriangles inside. Students can repeat this exploration with Candlelights(page 48), Ring of Peace (page 52), and Rainy Day (page 53).

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How to Make a Kaleidoscope

nce students have experimented with the hinged mirrors, invite them tomake their own kaleidoscopes.

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Place the three mirrors facedown on a flat surface. Leave a smallspace between them so they can bend toform a triangle after they are taped.

1.

2. Cut two lengths of tape as long as theedge of the mirrors. First, press one piece of tape down firmly on the edge of two of themirrors so that it holds them together. Then,tape on the third mirror.

3. Stand the mirrors up, keeping the taped sides out.Fold the mirrors inward to form a triangle. Cut anotherpiece of tape and tape the last two edges together. Trimoff excess tape from the top and bottom.

Now, invite students to experiment with Purty Birds (page 12) and BirdsPlaying (page 24). Ask them to predict how many images they will seewhen they line up the mirrors with the sides of one triangle on each of these designs. Then have them test to find out. (Purty Birds: 8, Birds

Playing: 12 )

Let students explore further by placing the mirrors on top of otherdesigns in the book, or colorful pictures from magazines or posters.Encourage them to experiment making acute, right, and obtuse angleswith the mirrors to create different patterns. Students can also place smallobjects such as beads, coins, paper clips, and sequins between themirrors and experiment with how placement between the mirrors affectsthe reflections they see.

6.

7.

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Put a small amount of glue on top of theedges of the mirrors. Set the glued edges on apiece of typing paper. After the glue has dried,trim off any of the paper that sticks out from thesides of the kaleidoscope.

4.

O

3 small, identical square or

rectangular mirrors ( see Resources, page 9 )tapegluewhite bond paperscraps of colored paper,sequins, glitter, or beadsplastic wrapscissorsoptional:wrapping paper,construction paper, orwallpaper samples

Materials



Make Kaleidoscope Math Art!

tudents will have fun making their own kaleidoscope math art activities

using the patterns on pages 61–64, scissors, glue sticks, and coloredpencils.

Half MoonsGive each student a copy of pages 61 and 62. Instruct students to followthe directions on page 61. As they position the half moon cutouts on thehexagon, guide students to notice that the shapes mirror each other.

Jumping DolphinsGive each student a copy of pages 63 and 64. This activity is a bit morechallenging. In order to make a kaleidoscopic image, students need tothink about where to place each dolphin around the circle so that theimages mirror each other.

After completing these activities, students can cut out the designs alongthe outer solid lines, and then mount them on construction paper fordisplay on a bulletin board or the windows of your classroom.

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S

Now it’s time to have fun with the kaleidoscopes!Have students shake them up and watch the shapes tumble around

inside, making beautiful reflections. Encourage them to hold theirkaleidoscopes up to the light of the window or take them outside. Askstudents to look in the kaleidoscope and find the six-sided hexagon shapeand the mirrored reflections. Remind them of their explorations with Circleof Stars, Ring of Peace, Rainy Day, and Candlelights. What similarities dothey notice between those designs and the kaleidoscopic images?

Students can decorate the outside of thekaleidoscope with wrapping paper, constructionpaper, or wallpaper samples, if desired.

Place the scraps of paper, sequins, glitter, orbeads inside the kaleidoscope.5.

Cut a piece of plastic wrap a little bigger than

the triangle opening. Pull it tight over the openingand hold it in place with a rubber band. Now, holdthe edges of the plastic wrap in place with tape.

6.

7.

8.

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Resources

Supply Sources

The following companies sell kaleidoscopesand small mirrors that can be used to makekaleidoscopes. You can also find inexpensivesquare or rectangular mirrors at craft and artsupply stores, as well as hardware, educationalsupply, and discount stores.

Delta Educationhinged mirrors, rectangular mirrors, and

kaleidoscopes800-258-1302 www.delta-education.com

School Marthinged mirrors800-285-2662 www.schoolmart.com

Franklin Art GlassKaleidoscope kits, rectangular and square mirrors800-848-7683

S & S Craftskaleidoscope kits800 243-9232

www.snswwide.com

Books

Kaleidoscopes: Wonders of Wonder by CozyBaker (C & T Publishing, 1999).Filled with colorful kaleidoscopic images, this bookexplores the art and science behind kaleido-scopes.

The Kids ’ Book of Kaleidoscopes by CarolynBennet and Jack Romig (Workman Publishing Co.,1994).

This full-color activity book and kit explains theprinciples of light refraction and reflection andincludes everything you need to make a kaleido-scope.

The Kaleidoscope Book: A Spectrum of Spectacu- lar Scopes to Make by Thom Boswell (Lark Books,1995).Readers learn how kaleidoscopes work and howto make their own simple kaleidoscopes.

Software

KaleidoMania! developed by Kevin D. Lee(Key Curriculum Press).With this exciting software tool, you can makeyour own symmetrical designs or ones based onpictures included on the CD-ROM. Also includesgames that investigate rotation, reflection, andmore.



Name Place Value: 1’s, 10’s

Animal Friends

Fill in the other shapes with the colors of your choice.

67 78

57 59

12 2230 34

99

44 43

69

22 21

87 58

11 61

77 79

40 35

88 68

If the number in the Color the shapeones place is 1 or 2 gray

blackbrownones place is 7, 8, or 9

tens place is 3 or 4



Name Place Value: 1’s, 10’s, 100’s

Snowflake

373

258

293

943

199

109

779

479

529 229

834

818

887

801 890

812

654

255


hundreds place is 8

If the number in the Color the shapeones place is 3 yellow

bluepink

purple

ones place is 9

tens place is 5



Name Place Value: 10’s, 100’s, 1000’s

Purty Birds

6,263 4,176

9,437

3,998

9,645

5,064

9,181

4,119

8,0985,290

6,004

8,432 5,951

4,752 6,340

5,443

1 , 4

6 1

3 , 4

2 5

3,579

2 , 6

6 7

3 , 4

9 6

1,502

2,494

7,843


If the number in the Color the shapetens place is 3, 4, or 5 orange

greenpinkhundreds place is 0, 1, or 2

thousands place is 1, 2, or 3



Name

Fruit Slice

Fill in the background with the color of your choice.

Even and Odd Numbers

If the number is Color the shapeeven

oddyelloworange



Name



Riding inCircles

35

53

99

59

141

81

129

33

31

29

37

209

813

1,943

95

11

103

43

65

85

70

44

94

2

76

12

96

22

12

30

90

88

202

496

132

932

628

186

901

14

984

718


oddorange

blue



Name

Pastel Wreath


48

74

62

32

88

5441

3780

72

23

49

96

74

43

68

35

If the number is Color the shapegreater than 50 pink

yellowblueless than 50 and even

less than 50 and odd




Name


Confetti

64

18

27

30

319

59 21

5 11

36 68

22 16

28

58

36

24

80

66 92

54

90

34

88

26

17

92

25

16

29

1

8

23

10

72

7



oddpinkred



Name Addition to 8

Twirling Tops


+ 43

+ 33 + 2

1+ 3

2

+ 44 + 26

+ 03

+ 31

+ 05

+ 20

+ 25

+ 61

+ 71

+ 51 + 4

1

+ 22

+ 11

+ 42

Solve the problems.

If the answer is between Color the shape1 and 5

6 and 8blue

green



Name

CreepingLizards


+ 22

+ 64

+ 20

1 + 7 =

+ 34

4 + 5 =

+ 11

8 + 2 =

+ 32

+ 72

2 + 6 =

+ 33

3 + 7 =

+ 12

6 + 3 =

+ 42

1 + 0 =

Addition to 10

Solve the problems.If the answer is Color the shape

1

between 2 and 4

between 5 and 7

green

orangered

between 8 and 10 yellow



Name

GiantDinosaurs


+ 36

+ 91

+ 73

+ 53

+ 44

+ 45

+ 51

+ 32

+ 33

+ 43 + 1

4

+ 21

+ 01

+ 22

+ 13

+ 25

Addition to 10

Solve the problems.

Color the shapeyellow

bluegreen

purple

If the answer is

1

between 2 and 4

between 5 and 7

between 8 and 10



Name

Giggle Bugs


2 + 3 = 4 + 2 =

7 + 5 = 9 + 3 =

+ 35

+ 10

+ 13

+ 22

+ 12

+ 83

+ 41

+ 19

+ 07

+ 17

+ 62

+ 15

+ 20

+ 11

+ 3

4+ 4

4

+ 16

+ 33

+ 45

6

+ 6

Addition to 12


5 and 8

9 and 12

yellow

greenorange

Solve the problems.



Name

SwirlingShapes


+ 30

+ 63

+ 34

+ 53

1 + 2 =

5 + 7 =

+ 06

+ 46

+ 24

+ 37

+ 23

+ 48

+ 41

+ 56

+ 22

1 + 5 =

+ 74

Addition to 12


7 and 12redpink

Solve the problems.



Name

Honk, Honk

+ 8

8

+ 66

+ 78

9 + 5 =

+ 9

9

+ 8

6

3 + 7 =

+ 45

1 + 0 =

+ 22

+ 52

+ 21

+ 44

+ 43

+ 33

+ 42

+ 16

Addition to 18

Solve the problems.

Color the shapered

blueyellow

If the answer is

1

between 2 and 8

between 9 and 18



Name

Circle of Stars


+ 41

+ 46

+ 33

+ 23

+ 73

+ 22

+ 93

+ 79

+ 89

+ 88

+ 66

+ 47

+ 87 + 5

6

+ 99

+ 76

+ 59

+ 68

+ 58

+ 38

+ 96

+ 77 + 2

9

+ 57

Addition to 18

Solve the problems.If the answer is between Color the shape

1 and 5

6 and 10

11 and 13

blue

purpleorange

14 and 18 yellow



Name Addition to 10: Three Addends

Birds Playing

1 + 2 + 0 =

2 + 1 + 1 =

2 + 2 + 2 =

4 + 1 + 4 =

2

4

+ 2

3

7

+ 0

2

1

+ 0

3

3

+ 3

2

6

+ 2

0

4

+ 1

3

1

+ 0

2

2

+ 1

1

1

+ 3

1

9

+ 0

4

5

+ 1

2

7

+ 1

2

2

+ 0

4

1

+ 0

1

1

+ 2

2

3

+ 0

1

3

+ 5

8

1

+ 1

2

2

+ 2

1

1

+ 0

Solve the problems.



6 and 10blue

yellow



Name

Luck of the Irish

34

+ 1

52

+ 387

+ 3

39

+ 225

+ 2

21

+ 5

94

+ 213

+ 2

0

4

+ 2

41

+ 107

+ 1

60

+ 490

+ 943

+ 3

33

+ 1

2

2

+ 2

Addition to 18: Three Addends

Solve the problems.



9 and 12

13 and 18

green

yelloworange



Name Addition With Multiples of 10

High Flyer40

+ 30

30+ 20

10+ 30

30

+ 50

30+ 30

50+ 30

70+ 20

50+ 40

20+ 20

10+ 70

60+ 30

40+ 50

20+ 70

10+ 80

40+ 30

40+ 10

30+ 40

70+ 10

10+ 10

10+ 50

30+ 60

80+ 10

20+ 10

40+ 40


Solve the problems.


41 and 60

61 and 80

green

blackpurple

81 and 100 yellow



Name

Rain ForestFrogs

50

+ 5030

+ 50

10

+ 60

30

+ 30

20

+ 20

10

+ 80

10

+ 70

40

+ 50

50

+ 40

40

+ 40

60

+ 30

20

+ 50

30

+ 70

60

+ 10

20

+ 30

70

+ 20

10

+ 10

50

+ 30

10

+ 70

40

+ 6050

+ 20

80

+ 20

30

+ 20

10

+ 20

Addition With Multiples of 10


41 and 60

61 and 80

green

orangeblue

81 and 100 yellow


Solve the problems.



Name Addition: Two DigitsWithout Regrouping

Fireworks

18+ 21

64

+ 34 26

+ 21

24

+ 32

42

+ 23

21+ 27

13

+ 33

20

+ 30

12

+ 11

14

+ 1341 + 58 = 34 + 34 = 21 + 72 =

21 + 56 = 42 + 46 = 31 + 60 =

21

+ 33

32

+ 26

41

+ 32

22

+ 23 47

+ 5034

+ 23

33

+ 20

30

+ 24

18

+ 10

12

+ 12

10

+ 3237

+ 5141

+ 12

25

+ 31

53

+ 46

29

+ 20

21

+ 31

22

+ 33


31 and 60

61 and 100

yellow

orange

blue


Solve the problems.



Name

Sunburst

36 + 13 =

19 + 30 =

47 + 12 =

15 + 34 =

22 + 25 =

14 + 20 =

34 + 24 =

33 + 16 = 1 1 + 12 =

23 + 25 =

42 + 16 =

1 1 + 25 =

28 + 10 =

43+ 46

22+ 4772

+ 27

62+ 32

52+ 35

78+ 1 1

89+ 10

63+ 14

64+ 24

87+ 12

33+ 36

44+ 21


31 and 60

61 and 100

yellow

orangeblue


Solve the problems.

Addition: Two DigitsWithout Regrouping



Name

Sparkles

48 + 13 =57 + 33 =

+ 17

56

+ 38

17

+ 28

16

+ 32

39

+ 17

13 + 26

36

+ 37

16

+ 25

66

+ 16

26

+ 47

27

+ 18

12

+ 15

75

+ 24

28

+ 1629

+ 38

28 + 1919


51 and 60

orange

yellow

red

61 and 70

71 and 80

81 and 100

41 and 50

blue

purple

black

Solve the problems.


Addition: Two DigitsWith Regrouping



Name

Colorful Hearts

+ 17

17

+ 35

35

+ 28

27

+ 16

25

+ 28

19

+ 18

12

+ 18

36

+ 23

38

+ 14

47

+ 18

19

+ 24

17

+ 39

12


Solve the problems.


51 and 60

orange

yellowred

61 and 70

41 and 50

blue

Addition: Two DigitsWith Regrouping



Name

Blooming Poinsettias

+ 495

403

+ 348

551

+ 56 1

138

+ 21 3

383

+ 313

612

+ 325

153

+ 118

180

+ 47 1

222

+ 615

324

+ 312

317

+ 253

244


Solve the problems.


401 and 600

601 and 800

red

bluegreen

purple801 and 1000

Addition: Three DigitsWithout Regrouping



Name

Lots of Snakes

+ 171579

+ 344149

+ 61 8323

+ 497133

+ 315490

+ 249258

+ 96

127+ 195

326

+ 275376

+ 205

235

+ 345170

+ 195127

+ 43589

+ 17453

+ 299219

+ 118328

+ 385

439

+ 18 5223 + 12 5

858


Solve the problems.

If the answer is between Color the shape0 and 500 black

orange501 and 1000

Addition: Three DigitsWith Regrouping



Name

Crown Jewel

+ 446

236

+ 229

172

+ 465

1 35

+ 1 08

1 78

+ 438

534

+ 258

343

+ 265

628

+ 518

216

+ 469

419

+ 159

104 + 329

467

+ 503

477


Solve the problems.


401 and 600601 and 800

blue

yellowpurple

red801 and 1000

Addition: Three DigitsWith Regrouping



Name Subtraction From 10

KissingFish

– 37

10 – 5 =

9 – 2 = 7 – 1 =

10 – 2 =

10 – 3 =

8 – 2 = 8 – 0 =

7 – 2 =

– 58

– 67

– 46

– 6

9

– 8

9

– 24

– 18

– 39

– 38

– 19

– 07

– 49

– 16

– 110

– 610


Solve the problems.

If the answer is Color the shape1 or 2

3 or 4

5 or 6

blue

yellowgreen

orange7, 8, or 9



Name

Cat and MouseGame

– 510

– 89 – 1

8

– 45

– 9

10

– 7

9

– 39

– 48

– 19

– 06

– 78

– 66

– 29

– 37

– 27

– 38

– 57

– 4

7

– 1

4

– 710

Subtraction From 10


Solve the problems.

If the answer is Color the shape0 or 1

2 or 3

4 or 5

red

greenblue

orange6, 7, or 8



Name

Bright Sunshine

12– 1

1 1– 0

12– 3

11– 1

1 1– 2

10– 1

12– 0

12– 2

12– 7

11– 3

11– 6

10– 4

12– 4

10– 2

12– 5

12– 4

11– 8

12– 8

9– 6

10– 8

11– 7

12– 11

10– 9

10– 7

12– 9

9– 2

9– 0

12– 1

9– 1


Solve the problems.

Subtraction From 12


5 and 8

9 and 12

yellow

redorange



Name

Spinning Pinwheels

10 – 5 =12 – 7 =

12 – 1 =10 – 6 =

10 – 1 = 1 1 – 9 =

– 19

– 912

– 39

– 1012

– 212

– 17 – 3

12

– 012

– 2

1 1

– 6

1 1

– 812

– 8

12

Subtraction From 12


Solve the problems.


5 and 8

9 and 12

blue

yellowred



Name

Flower Ring

18

– 2

12

– 6

16– 9

18– 3

18

– 1

14

– 9

18

– 0

13

– 5

17

– 2

18

– 12

16

– 1

17

– 12

18 – 17 =

17 – 3 =

11 – 1 =

17 – 16 =

16 – 5 =

15 – 12 =

18 – 4 = 11 – 9 =

15 – 5 =

14 – 10 =

17 – 4 =

18 – 18 =

16 – 12 = 15 – 3 =

Subtraction From 18


Solve the problems.


5 and 9

10 and 14

red

blueorange

yellow15 and 18



Name

Flamingos

66

– 15

55

– 11

98

– 4365

– 44

98

– 26

93

– 20

79

– 57

79

– 18

49

– 38

77

– 4

68

– 47

58

– 13

75

– 20

89

– 29

98

– 18

87

– 73

26

– 14

82

– 11


Solve the problems.

Subtraction: Two DigitsWithout Regrouping


31 and 60

61 and 100

purple

blueyellow



Name

Halo ofLights

85

– 33

95

– 30

99

– 26

75

– 64

85

– 14

96

– 4

98

– 12

99

– 6

94

– 34

77

– 12

87

– 12

95

– 14

74

– 33

65

– 42

48

– 32

99

– 66

84

– 42

33

– 20

97

– 74

67

– 27

88

– 67

48

– 21

Subtraction: Two DigitsWithout Regrouping


Solve the problems.

If the answer is betweenColor the shape1 and 25

26 and 50

51 and 60

green

pinkblue

red61 and 70

71 and 90 yellow

91 and 100 purple



Name

Fiery Sky

60

– 32

31

– 12

27

– 19

81

– 42

92

– 57

37– 18

80

– 67

47

– 18

67

– 29

95– 76

84

– 65

43

– 15

91

– 18

98

– 29

85

– 37

90

– 11

88– 19

77

– 28

92

– 15

83– 18

80

– 29

93

– 14

81

– 12

93– 4798– 19


Solve the problems.

Subtraction: Two DigitsWith Regrouping


21 and 40

41 and 60

blue

purpleblack

red61 and 70

71 and 100 yellow



Name

Flower Wallpaper

74– 29 90

– 2381

– 13

90– 29

94– 16

80– 13

85– 16

53– 39

45– 36

97– 18

92– 25

87– 48

95– 26

93– 18

47– 39

78– 49

88– 19

82– 15

68– 19

92– 29

80– 12


Solve the problems.

Subtraction: Two DigitsWith Regrouping


36 and 60

61 and 100

pink

blueyellow



Name

Puff Balls

589

– 478

896

– 101

765

– 304 847

– 321

951

– 140

779

– 64

939– 100

985– 374

858

– 212

548

– 148

786

– 134

973

– 1 12

893

– 360

754

– 324

895

– 265

974

– 124

882

– 321

Subtraction: Three DigitsWithout Regrouping


Solve the problems.


301 and 600

601 and 1000

pink

blue

yellow



Name

Candlelights

492– 185

802– 490

876– 188

956– 349

619– 434

790– 298

536– 207

845– 377

900– 99 774– 177

712– 117

642– 66

Subtraction: Three DigitsWith Regrouping


Solve the problems.


501 and 1000blackyellow



Name

MonkeyBusiness

714– 326

730– 45

318– 129818– 329

714– 75

955– 106

980– 379

548– 326

834– 45

726– 157

942– 493

612– 129

935– 744

817– 128

905– 228

662– 58

972– 188

800– 1 12

922– 223

536– 199

890– 108

717– 396

636– 386

801– 349


Solve the problems.



601 and 1000yelloworange



Name

Strawberries

654

– 189

758

– 89

700

– 319

909

– 255

946

– 450

776

– 128

880

– 259

690

– 355

580

– 219

906

– 279

977

– 298

946

– 357

733

– 354

800

– 163

834

– 477

711

– 32

874

– 88

894

– 16

950

– 177

912

– 199

987

– 108

907

– 59

911

– 121



Solve the problems.


601 and 700pinkred

701 and 1000 green



Name Multiplication: 1’s and 2’s

Dancing Butterflies

9 x 1 =

5

x 2

2

x 3

6

x 2

8

x 1

1

x 3

5

x 1

10

x 1

1

x 2

7

x 1

9

x 2

2

x 9

8

x 2

2

x 8

2 x 2 = 4 x 2 =

1 x 1 =

7 x 2 =

2 x 7 =


Solve the problems.

13 and 18

If the answer is between Color the shape1 and 6 purple

blackyellow

red

7 and 10

11 and 12



Name

Ring of Peace

9

x 3

3 x 8 =

1 x 4 =

3 x 7 = 8 x 3 =

4 x 3 =

6 x 4 =4 x 5 =

3 x 4 =

4 x 7 =

5 x 3 = 3 x 5 =

2 x 3 =3 x 6 =

3 x 3 =

4

x 6

3

x 2

6

x 3

5

x 4

3

x 9

4

x 1

3

x 1

4

x 8

4

x 9

Multiplication: 3’s and 4’s

Solve the problems.


5 and 19

20 and 27

blue

pinkgreen

28 and 36 yellow



Name

Rainy Day

5 x 2 =

6

x 6

6 x 3 =

5 x 7 = 6 x 7 =

5 x 6 =5 x 9 =

5 x 3 = 6 x 2 =

6 x 8 =5 x 4 =

5 x 5 = 6 x 4 =

6

x 9

1

x 6

1

x 5

9

x 6

5

x 8



Solve the problems.


7 and 12

13 and 18

red

yelloworange

19 and 59 blue



Name

Anchors Aweigh!

8 x 2 =

8

x 6

8

x 4

7

x 1

7

x 5

7

x 6

8

x 5

7

x 4

7

x 2

8 x 3 =

8 x 0 =

7 x 3 = 8 x 1 =

7 x 8 =

8 x 8 =

7 x 7 =

7

x 9 =

8 x 9 =

8 x 7 =



Solve the problems.


7 and 48

49 and 72

red

yellowblue



Name Multiplication: 9’s

Seahorses

1

x 9

4

x 9

6

x 9

9

x 9

3

x 9

9

x 5

8

x 9

7

x 9

9

x 7

9

x 8

5 x 9 = 2 x 9 =


Solve the problems.


28 and 45

46 and 63

yellow

greenblue

64 and 81 orange



Name

Yummy Apples

122 91

8171 51 22

82 11

31 21

62 42162 61

182 142

Division: 1’s and 2’s


Solve the problems.


6 and 7yellow

greenred

8 and 9



Name

Shark Attack

55 155

105126

246 186

25 – 5 = 40 – 5 =

36 – 6 = 54 – 6 =

42 – 6 = 30 – 6 =



Solve the problems.


5 and 9grayblue



Name

Sail Away

568 408648 357

217 248

287 488

567 497

637 427

328 728

147

168



Solve the problems.


4 and 9bluered



Name

Giddy Up!

279 408

248 488

648 568

728 639

459 189

369 168

8 – 8 = 32 – 8 =

72 – 9 =81 – 9 =

54 – 9 = 9 – 9 =



Solve the problems.


4 and 6

7 and 9

orange

redyellow



Name Make Kaleidoscope Math Art

Half Moons

Color and cut out the six half moons on page 62. Glue the moons on the picture above tomake your own kaleidoscope. Color the shapes with the colors of your choice.



Half Moon Cutouts Make Kaleidoscope Math Art



Name

Jumping Dolphins

Color and cut out the eight dolphins on page 64. Glue the dolphins on the picture aboveto make your own kaleidoscope. Color the shapes with the colors of your choice.




Jumping DolphinCutouts


MaNDaLaS CoN NúMeRos. iNGLéS.pdf

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