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Math
New York Toronto London Auckland Sydney
New Delhi Mexico City Hong Kong Buenos Aires
Kaleidoscope
by Cindi Mitchell and Jim Mitchell
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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.
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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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○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
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○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
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○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
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○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
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○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○ ○
Continued
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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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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
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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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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.
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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
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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
Fill in the other shapes with the colors of your choice.
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
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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
Fill in the other shapes with the colors of your choice.
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
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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
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Name
Fill in the other shapes with the colors of your choice.
Even and Odd Numbers
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
If the number is Color the shapeeven
oddorange
blue
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Name
Pastel Wreath
Fill in the other shapes with the colors of your choice.
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
Even and Odd Numbers
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Name
Fill in the other shapes with the colors of your choice.
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
Even and Odd Numbers
If the number is Color the shapeeven
oddpinkred
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Name Addition to 8
Twirling Tops
Fill in the other shapes with the colors of your choice.
+ 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
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Name
CreepingLizards
Fill in the other shapes with the colors of your choice.
+ 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
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Name
GiantDinosaurs
Fill in the other shapes with the colors of your choice.
+ 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
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Name
Giggle Bugs
Fill in the other shapes with the colors of your choice.
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
If the answer is between Color the shape1 and 4
5 and 8
9 and 12
yellow
greenorange
Solve the problems.
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Name
SwirlingShapes
Fill in the other shapes with the colors of your choice.
+ 30
+ 63
+ 34
+ 53
1 + 2 =
5 + 7 =
+ 06
+ 46
+ 24
+ 37
+ 23
+ 48
+ 41
+ 56
+ 22
1 + 5 =
+ 74
Addition to 12
If the answer is between Color the shape1 and 6
7 and 12redpink
Solve the problems.
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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
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Name
Circle of Stars
Fill in the other shapes with the colors of your choice.
+ 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
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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.
Fill in the other shapes with the colors of your choice.
If the answer is between Color the shape1 and 5
6 and 10blue
yellow
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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.
Fill in the other shapes with the colors of your choice.
If the answer is between Color the shape1 and 8
9 and 12
13 and 18
green
yelloworange
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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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape10 and 40
41 and 60
61 and 80
green
blackpurple
81 and 100 yellow
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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
If the answer is between Color the shape0 and 40
41 and 60
61 and 80
green
orangeblue
81 and 100 yellow
Fill in the other shapes with the colors of your choice.
Solve the problems.
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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
If the answer is between Color the shape1 and 30
31 and 60
61 and 100
yellow
orange
blue
Fill in the other shapes with the colors of your choice.
Solve the problems.
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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
If the answer is between Color the shape1 and 30
31 and 60
61 and 100
yellow
orangeblue
Fill in the other shapes with the colors of your choice.
Solve the problems.
Addition: Two DigitsWithout Regrouping
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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
If the answer is between Color the shape0 and 40
51 and 60
orange
yellow
red
61 and 70
71 and 80
81 and 100
41 and 50
blue
purple
black
Solve the problems.
Fill in the other shapes with the colors of your choice.
Addition: Two DigitsWith Regrouping
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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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 40
51 and 60
orange
yellowred
61 and 70
41 and 50
blue
Addition: Two DigitsWith Regrouping
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 33/6532
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 400
401 and 600
601 and 800
red
bluegreen
purple801 and 1000
Addition: Three DigitsWithout Regrouping
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 34/65
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 35/6534
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 500 black
orange501 and 1000
Addition: Three DigitsWith Regrouping
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 36/6535
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 400
401 and 600601 and 800
blue
yellowpurple
red801 and 1000
Addition: Three DigitsWith Regrouping
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 37/65
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 38/6537
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is Color the shape1 or 2
3 or 4
5 or 6
blue
yellowgreen
orange7, 8, or 9
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 39/6538
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is Color the shape0 or 1
2 or 3
4 or 5
red
greenblue
orange6, 7, or 8
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 40/6539
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
Subtraction From 12
If the answer is between Color the shape0 and 4
5 and 8
9 and 12
yellow
redorange
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 41/6540
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape1 and 4
5 and 8
9 and 12
blue
yellowred
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 42/65
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 43/6542
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 4
5 and 9
10 and 14
red
blueorange
yellow15 and 18
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 44/6543
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
Subtraction: Two DigitsWithout Regrouping
If the answer is between Color the shape0 and 30
31 and 60
61 and 100
purple
blueyellow
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 45/6544
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
Fill in the other shapes with the colors of your choice.
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
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 46/6545
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
Subtraction: Two DigitsWith Regrouping
If the answer is between Color the shape1 and 20
21 and 40
41 and 60
blue
purpleblack
red61 and 70
71 and 100 yellow
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 47/6546
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
Subtraction: Two DigitsWith Regrouping
If the answer is between Color the shape1 and 35
36 and 60
61 and 100
pink
blueyellow
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 48/6547
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape1 and 300
301 and 600
601 and 1000
pink
blue
yellow
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 49/6548
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 500
501 and 1000blackyellow
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 50/6549
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
Fill in the other shapes with the colors of your choice.
Solve the problems.
Subtraction: Three DigitsWith Regrouping
If the answer is between Color the shape0 and 600
601 and 1000yelloworange
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 51/6550
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
Subtraction: Three DigitsWith Regrouping
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape1 and 600
601 and 700pinkred
701 and 1000 green
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 52/6551
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 =
Fill in the other shapes with the colors of your choice.
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
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 53/6552
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.
If the answer is between Color the shape1 and 4
5 and 19
20 and 27
blue
pinkgreen
28 and 36 yellow
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 54/6553
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
Multiplication: 5’s and 6’s
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 6
7 and 12
13 and 18
red
yelloworange
19 and 59 blue
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 55/6554
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 =
Multiplication: 7’s and 8’s
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 6
7 and 48
49 and 72
red
yellowblue
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 56/6555
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 =
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape1 and 27
28 and 45
46 and 63
yellow
greenblue
64 and 81 orange
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 57/6556
Name
Yummy Apples
122 91
8171 51 22
82 11
31 21
62 42162 61
182 142
Division: 1’s and 2’s
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape1 and 5
6 and 7yellow
greenred
8 and 9
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 58/65
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 59/6558
Name
Shark Attack
55 155
105126
246 186
25 – 5 = 40 – 5 =
36 – 6 = 54 – 6 =
42 – 6 = 30 – 6 =
Division: 5’s and 6’s
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 4
5 and 9grayblue
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 60/6559
Name
Sail Away
568 408648 357
217 248
287 488
567 497
637 427
328 728
147
168
Division: 7’s and 8’s
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape0 and 3
4 and 9bluered
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 61/6560
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 =
Division: 8’s and 9’s
Fill in the other shapes with the colors of your choice.
Solve the problems.
If the answer is between Color the shape1 and 3
4 and 6
7 and 9
orange
redyellow
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 62/6561
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.
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 63/6562
Half Moon Cutouts Make Kaleidoscope Math Art
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 64/6563
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.
Make Kaleidoscope Math Art
8/11/2019 MaNDaLaS CoN NúMeRos. iNGLéS.pdf
http://slidepdf.com/reader/full/mandalas-con-numeros-inglespdf 65/65
Jumping DolphinCutouts
Make Kaleidoscope Math Art