dazzling + -math+line... · + dazzling math line designs ... how-tos are provided on page 43). for...
TRANSCRIPT
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Math LineDesigns
By Cindi Mitchell
N E W Y O R K • T O R O N T O • L O N D O N • A U C K L A N D • S Y D N E Y
M E X I C O C I T Y • N E W D E L H I • H O N G K O N G
S C H O L A S T I C
BPROFESSIONAL OOKS
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Scholastic Inc. grants teachers permission to photocopy the activity sheets from this book for classroom use. No other part of this publication maybe 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.
Cover design by Pamela SimmonsCover photographs by Donnelly Marks
Interior design by Solutions by Design, Inc.Interior illustrations by Cindi Mitchell
ISBN 0-590-00086-1
Copyright © 1998 by Cindi MitchellAll rights reserved.
Printed in the U.S.A.
To my parents, George and Dorothy Neibler, who encouraged me to think of every problem as an opportunity.
To my husband, Jim Mitchell, who has helped me turn many problems into opportunities.
To my children, Ben and Jeannine Mitchell, who showed me how to teach others to do so.
I would like to thank my editor, Deborah Schecter, for her hard work and guidance on this book. She has been there every step of the way to listen, encourage, and celebrate.
To borrow my students’ favorite phrase, “She’s awesome!”
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Contents
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Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
Skills Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Math Line Designs to ColorTumbling Boxes (Addition: Two Digits Without Regrouping) . . . . . . . . . . . . . . . . . . . . . . 8Kaleidoscope (Addition: One and Two Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . . 9Blooming Octagon (Addition: Three Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . . 10Super Star (Subtraction: Two Digits Without Regrouping) . . . . . . . . . . . . . . . . . . . . . . . . 11Grandma’s Quilt (Subtraction: Two Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . . . 12Morning Glory (Subtraction: Three Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . . . 13Building Blocks (Multiplication: Sixes) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14Stargazer (Multiplication: Sevens). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15Space Traveler (Multiplication: Sixes and Sevens) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16Locking Boxes (Multiplication: Sevens and Eights) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17Star-Struck Multiplication (Multiplication: Nines) . . . . . . . . . . . . . . . . . . . . . . . . . . 18Exploding Star (Division: Fives) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19Patchwork Diamonds (Division: Sevens) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20Star Puzzle (Division: Nines) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21Missing Blocks (Division: Mixed Practice) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22Playing With Blocks (Division: Two Digits ÷ One Digit With No Remainder) . . . . . . . . . . 23Fireworks (Division: Two Digits ÷ One Digit With Remainders) . . . . . . . . . . . . . . . . . . . . . 24
Math Line Designs to CreateIce Cream Cone (Addition: Two Digits Without Regrouping) . . . . . . . . . . . . . . . . . . . . . . 25Bewitching Math (Addition: Two Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . . . . 26Wave Action (Addition: One and Two Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . 27Stretching Taffy (Subtraction: One and Two Digits With Regrouping) . . . . . . . . . . . . . . . 28Spectacular Triangle (Multiplication: Threes) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29Hourglass (Multiplication: Fours) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30Rainy Day (Multiplication: Fives) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31Spider’s Web (Multiplication: Twos and Fours). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
Sunburst (Multiplication: Threes and Fives) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33Lacy Heart (Multiplication: Eights and Nines) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
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Power Lines (Multiplication: Mixed Practice). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35Octagon Web (Multiplication: Two Digits x One Digit). . . . . . . . . . . . . . . . . . . . . . . . . . . 36Wind Seeker (Division: Threes) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37String Tower (Division: Twos and Threes) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38Football (Division: Fours and Fives) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39Over and Under (Division: Sixes and Sevens) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40Candlelight (Division: Sevens and Eights) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41Sparkling Diamond (Division: Two Digits ÷ One Digit With Remainders) . . . . . . . . . . . . 42
Math Line Designs to ConstructHow to Make the Constructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43Rainbow Box (Addition: Two Digits Without Regrouping) . . . . . . . . . . . . . . . . . . . . . . . . 44
Five-Sided Pyramid (Addition: Two Digits Without Regrouping). . . . . . . . . . . . . . . . . . 45
Treasure Chest (Addition: Three Addends) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
Addition Fun (Addition: Three Digits Without Regrouping) . . . . . . . . . . . . . . . . . . . . . . 47
Holiday Ornament (Addition: Three Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . 48
Subtraction Tepee (Subtraction: Two Digits Without Regrouping) . . . . . . . . . . . . . . . . . 49
Triangles and More Triangles (Subtraction: Two Digits With Regrouping) . . . . . . . . . 50
Optical Illusion (Subtraction: Two Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . . . . 51
Boxcar (Subtraction: Three Digits Without Regrouping) . . . . . . . . . . . . . . . . . . . . . . . . . . 52
Box of Many Colors (Subtraction: Three Digits Without Regrouping) . . . . . . . . . . . . . . . 53
Gemstones (Subtraction: Three Digits With Regrouping) . . . . . . . . . . . . . . . . . . . . . . . . . 54
Sunshine (Multiplication: Twos) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
Triangle Twister (Multiplication: Eights). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56Ice Crystal (Multiplication: Three Digits x One Digit) . . . . . . . . . . . . . . . . . . . . . . . . . . . 57Eye Dazzler (Division: Twos) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58Leaning Cube (Division: Fours) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59Triangle Patches (Division: Sixes) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60Checkerboard Tent (Division: Eights) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Answers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
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5
Introduction
W hen I was teaching, my students contin-ually begged me to give them geomet-ric design worksheets to color. I threw
up my hands, lamenting that they spent hours col-oring designs but wouldn’t spend 15 minutes mem-orizing basic math facts. It was Adam who made thisbrilliant remark: “Why doesn’t someone makedesigns with math facts in them? Then you couldbe sure we’d learn them!” This book is for all ofyour students, like Adam, who are fascinated by artand geometric design and beg for more.
How to Use This BookThere are three different types of design activitiesin this book. Teaching tips for each type follow:
Designs to Color (pages 8–24) are geometricshapes with basic addition, subtraction, multiplica-tion, and division problems inside them. Studentssolve the problems, thencolor the shapes basedon the answers. The fin-ished designs will makea perfect addition toyour math learning cen-ter or bulletin board.For these designs, stu-dents need a basic eight-pack of crayons orcolored pencils. Tell stu-dents to solve all of theproblems before theystart coloring.
In the section Designs to Create (pages 25–42),students also solve addition, subtraction, multipli-cation, and divisionproblems. Then theydraw straight lines toconnect dots beside theproblems to the dotsbeside their answers.When all of the dotshave been connected,beautiful line designsemerge that are suitablefor framing. For thesedesigns, students need a
ruler, a sharp pencil, and an eraser. Again,encourage students to solve all of the problemsbefore they start drawing. Tell them to work care-fully, as many activities have more answers thanproblems to be solved.
Designs to Construct (pages 44–61) are funand easy to make. Students complete addition,subtraction, multiplication, and division prob-lems, then color the shapes based on the answers.After coloring the pattern, students simply cut itout, then fold and tape it together. (Easy assemblyhow-tos are provided on page 43). For thesedesigns, students needa basic eight-pack ofcrayons or colored pen-cils, scissors, and tape.The finished productsare colorful three-dimensional designsthat can be hung onmobiles, used as holi-day ornaments, orgiven as gifts.
Note: It’s not neces-sary for second andthird graders to learn the names for complex geo-metric shapes. But you will no doubt have somestudents who want to learn these technical defini-tions. You’ll find the term for each constructionlisted on page 43.
To help you use this book along with yourmath curriculum, the chart on pages 6–7 orga-nizes the activities by skill area and level. You cansee at a glance all of the activities that focus on aspecific math skill—for example, subtraction oftwo-digit numbers without regrouping.
Many of the activity pages include a Taking ItFurther problem. These problems are designed tochallenge students by allowing them to apply themath operation used to complete the main designactivity. Answers to these problems can be foundon pages 62–64.
Don’t let students stop with these activities.Invite them to create their own designs for theirclassmates to color, create, and construct!
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Solve the problems.If the answer is between 1 and 30, color the shape red.If the answer is between 31 and 99, color the shape gray.Finish the design by coloring the other shapes with the colors of your choice.
Taking It Further: Name two numbers that when added together equal 27.
ADDIT IONOne and Two Digits With Regrouping
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Kaleidoscope
19+ 9
22+ 21
4+ 8
16+ 6
11+ 9
7+ 4
12+ 7
12+ 9
1+ 9
2+ 8
11+ 7
16+ 22
24+ 7
10+ 24
31+ 11
32+ 9
22+ 13
41+ 21
26+ 6
37+ 31
45+ 5
40+ 14
31+ 4
27+ 6
20+ 21
14+ 9
16+ 5
15+ 5
57
MULT IPL ICAT IONThree Digits � One Digit
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Ice Crystal
Solve the problems.If the answer is an even number, color the shape orange.If the answer is an odd number, color the shape brown.
For more fun, cut out this design and fold it into a .
147x 1
142x 6
107x 3
511x 3
175x 5
212x 7
119x 5
144x 9
107x 7
816x 6
149x 7
214x 4
315x 6
918x 4
173x 9
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DIV IS IONThrees
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Solve the problems. Then connect the dot beside each problem on Line B to thedot beside its answer on Line A. One line has been drawn for you. Some dotswill not be used.
Taking It Further: Circle the numbers that can be divided by 3 with no remainder.
3 5 6 19 23 24 25 27 30 29 11 12 13 17 4 15 7 10
Wind Seeker
Line B
Line A
18 ÷ 3
7
9
1
11
2
12
4
3
5
10
8
6
13
21 ÷ 3 3 ÷ 3 12 ÷ 3 15 ÷ 3 24 ÷ 3
27 ÷ 3 6 ÷ 3 9 ÷ 3 30 ÷ 3
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PAGEMATH SKILL TITLE OF ACTIVITY NUMBER
Addition: Two Digits Without Regrouping Tumbling Boxes 8
Addition: Two Digits Without Regrouping Ice Cream Cone 25
Addition: Two Digits Without Regrouping Rainbow Box 44
Addition: Two Digits Without Regrouping Five-Sided Pyramid 45
Addition: Two Digits With Regrouping Bewitching Math 26
Addition: One and Two Digits With Regrouping Kaleidoscope 9
Addition: One and Two Digits With Regrouping Wave Action 27
Addition: Three Digits Without Regrouping Addition Fun 47
Addition: Three Digits With Regrouping Blooming Octagon 10
Addition: Three Digits With Regrouping Holiday Ornament 48
Addition: Three Addends Treasure Chest 46
Subtraction: Two Digits Without Regrouping Super Star 11
Subtraction: Two Digits Without Regrouping Subtraction Tepee 49
Subtraction: Two Digits With Regrouping Grandma’s Quilt 12
Subtraction: Two Digits With Regrouping Triangles and More Triangles 50
Subtraction: Two Digits With Regrouping Optical Illusion 51
Subtraction: One and Two Digits With Regrouping Stretching Taffy 28
Subtraction: Three Digits Without Regrouping Boxcar 52
Subtraction: Three Digits Without Regrouping Box of Many Colors 53
Subtraction: Three Digits With Regrouping Morning Glory 13
Subtraction: Three Digits With Regrouping Gemstones 54
Multiplication: Twos Sunshine 55
Multiplication: Threes Spectacular Triangle 29
Multiplication: Fours Hourglass 30
Multiplication: Fives Rainy Day 31
6
Skills MatrixThe chart below organizes the activities in this book by skill area.
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Multiplication: Sixes Building Blocks 14
Multiplication: Sevens Stargazer 15
Multiplication: Eights Triangle Twister 56
Multiplication: Nines Star-Struck Multiplication 18
Multiplication: Twos and Fours Spider’s Web 32
Multiplication: Threes and Fives Sunburst 33
Multiplication: Sixes and Sevens Space Traveler 16
Multiplication: Sevens and Eights Locking Boxes 17
Multiplication: Eights and Nines Lacy Heart 34
Multiplication: Mixed Practice Power Lines 35
Multiplication: Two Digits x One Digit Octagon Web 36
Multiplication: Three Digits x One Digit Ice Crystal 57
Division: Twos Eye Dazzler 58
Division: Threes Wind Seeker 37
Division: Fours Leaning Cube 59
Division: Fives Exploding Star 19
Division: Sixes Triangle Patches 60
Division: Sevens Patchwork Diamonds 20
Division: Eights Checkerboard Tent 61
Division: Nines Star Puzzle 21
Division: Mixed Practice Missing Blocks 22
Division: Twos and Threes String Tower 38
Division: Fours and Fives Football 39
Division: Sixes and Sevens Over and Under 40
Division: Sevens and Eights Candlelight 41
Division: Two Digits ÷ One Digit With No Remainders Playing With Blocks 23
Division: Two Digits ÷ One Digit With Remainders Fireworks 24
Division: Two Digits ÷ One Digit With Remainders Sparkling Diamond 42
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Solve the problems. Then color the design with your favorite colors. Here’s how:1. Choose four colors that you like the best.2. Write the name of one of the colors on each line below.3. Color the design.
If the answer is between 1 and 35, color the shape ____________________________.If the answer is between 36 and 60, color the shape __________________________.If the answer is between 61 and 90, color the shape __________________________.If the answer is between 91 and 100, color the shape _________________________.
Taking It Further: Order the answers on this page from largest to smallest.
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ADDIT IONTwo Digits Without Regrouping
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Name_______________________________________________________________
Tumbling Boxes
40+ 43
38+ 11
22+ 44
45+ 54
16+ 13
32+ 22
50+ 20
12+ 21 30
+ 11
22+ 47
18+ 30
41+ 32
27+ 31
12+ 14
33+ 53
24+ 20 11
+ 11
10+ 17
21+ 14
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Solve the problems.If the answer is between 1 and 30, color the shape red.If the answer is between 31 and 99, color the shape gray.Finish the design by coloring the other shapes with the colors of your choice.
Taking It Further: Name two numbers that when added together equal 27.
ADDIT IONOne and Two Digits With Regrouping
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Kaleidoscope
19+ 9
17+ 9
4+ 8
16+ 6
11+ 9
7+ 4
12+ 7
12+ 9
1+ 9
2+ 8
11+ 7
16+ 22
24+ 7
10+ 24
31+ 11
32+ 9
22+ 13
41+ 21
26+ 6
37+ 31
45+ 5
40+ 14
31+ 4
27+ 6
20+ 21
14+ 9
16+ 5
15+ 5
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ADDIT IONThree Digits With Regrouping
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Blooming Octagon
Solve the problems.If the answer is between 1 and 300, color the shape yellow. If the answer is between 301 and 600, color the shape blue. If the answer is between 601 and 1,000, color the shape orange.Finish the design by coloring the outer shapes with the colors of your choice.
Taking It Further: Fill in the next three numbers in this pattern. 150, 300, 450, 600, _______, _______, _______.
311+ 219
202+ 179
245+ 345
167+ 267
102+ 49
315+ 669
756+ 145
219+ 79
99+ 246
372+ 109
345+ 166
548+ 328
201+ 99
452+ 266
177+ 114
397+ 119
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Solve the problems.If the answer is between 1 and 20, color the shape red.If the answer is between 21 and 40, color the shape white.If the answer is between 41 and 90, color the shape blue.
Taking It Further: Write five subtraction problems that have answers between 10 and 20.
SUBTRACT IONTwo Digits Without Regrouping
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Super Star
88–12
69–59
33–21
47–15
88–54
27– 5
35–11
91–20
67–13
97–13
81–21
17– 6
28–24
19–12
57–55
39–15
60–10
34–11
68–26
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SUBTRACT IONTwo Digits With Regrouping
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Grandma’s Quilt
Solve the problems.If the answer is between 1 and 50, color the shape red.If the answer is between 51 and 100, color the shape blue.Finish the design by coloring the other shapes with the colors of your choice.
Taking It Further: Amelia bought 30 tickets for rides at the carnival. She used 15tickets in the first hour. How many tickets did she have left?
84–59
45–39
72–55
84–25
71–19
98–29
71–17
82–68
43–35
57–28
34–16
91–32
92–13
88–29
74–15
60–18
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SUBTRACT IONThree Digits With Regrouping
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Morning Glory
Solve the problems.If the answer is between 0 and 250, color the shape yellow.If the answer is between 251 and 500, color the shape purple.If the answer is between 501 and 1,000, color the shape pink.Finish the design by coloring the other shapes with the colors of your choice.
Taking It Further: Arrange the digits 7, 3, and 9 to make the largest number possible. Then rearrange them to make the smallest number possible. Subtract the smaller number from the larger number. Write your answer here: _______________________ .
643–250
704–315
829–147
904–183
725–137
862–170
698–119
795–106
743–146
935–149
242–133
727–533
401–298
542–368
745–219
912–119
684–136
721–155
884–275
987–396
779–197
822–187
724–473
874–486
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MULT IPL ICAT IONSixes
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Building Blocks
Solve the problems.If the answer is between 1 and 42, color the shape black.If the answer is between 43 and 72, color the shape green.
Taking It Further: Mike the mouse has 6 members in his family. How many feet are in Mike’s family?
10 x 6
6 x 2
6 x 5 4 x 6
6 x
10
6 x
8
6 x
6
5 x
6
1 x
6
8 x
6
6 x
11
2 x
6
12 x 6
6 x 4
9 x 6
6 x 1
1 x 6
6 x 3
11 x 6
3 x 6
7 x 6 6 x 6
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MULT IPL ICAT IONSevens
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Stargazer
Solve the problems.If the answer is between 1 and 21, color the shape orange.If the answer is between 22 and 45, color the shape green.If the answer is between 46 and 85, 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 in this pattern.7, 14, 21, _______, _______, 42, _______, _______, _______, 70, _______, _______.
7x 4
7x 6
7x 3
7x 2
6x 7
7x 1
10x 7
11x 7
7x 7
8x 7
12x 7
9x 7
5x 7
7x 5
4x 7
2x 7
3x 7
1x 7
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MULT IPL ICAT IONSixes and Sevens
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Space Traveler
Solve the problems.If the answer is between 0 and 45, color the shape black.If the answer is between 46 and 85, color the shape red.Finish the design by coloring the other shapes with the colors of your choice.
Taking It Further: Look at the four numbers below. Which two numbers, when multiplied together, are greater than 200 but less than 400?
4, 8, 23, 49
6x 1
6x 4
7x 8
11x 7
6x 3
5x 6
7x 5
10x 7
11x 6
7x 9
6x 6
2x 7
4x 7
12x 6 7
x 9
6x 9
6x 7 7
x 37
x 1
12x 7
7x 7
8x 610
x 6
7x 6
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17
MULT IPL ICAT IONSevens and Eights
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Locking Boxes
Solve the problems.If the answer is between 0 and 24, color the shape red. If the answer is between 25 and 48, color the shape pink. If the answer is between 49 and 70, color the shape green. If the answer is between 71 and 97, color the shape yellow.
Taking It Further: There are 8 people in the Chin family. If each person eats 3 cookies a day, how many days will it take the family to eat 2 dozen cookies?(Hint: A dozen equals 12.)
8 x 3
8 x 6
7 x 12
7 x 8
7 x 11
8 x
9
10 x
7
8 x
4
8 x
1
7 x
6 2 x
7
7 x
9
11 x
8
8 x
7
10 x
8
7 x
3
6 x
5
8 x 8
8 x 2
5 x 8
12 x 8
7 x 7
1 x 7
7 x 4
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MULT IPL ICAT IONNines
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Star-Struck Multiplication
Solve the problems. Then color this design with your favorite colors. Here’s how:1. Choose three colors that you like the best.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 75, color the shape _________________.If the answer is between 76 and 120, color the shape _________________.
Taking It Further: Fill in the next three numbers in this pattern. 81, 72, 63, 54, _________, _________, _________ .
9x 2
9x 4
9x 3
8x 9
9x 7
9x 6
4x 9
5x 9
9x 5
1x 9
7x 9
9x 10
9x 11
11x 9
9x 9
6x 9
3x 9
9x 9
9x 12
9x 8
10x 9
12x 9
2x 9
9x 1
13x 9
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DIV IS IONFives
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Exploding Star
Solve the problems. If the answer is even, color the shape blue. If the answer is odd, color the shape orange.
Taking It Further: Circle the numbers that can be divided by 5 with no remainder.5 8 10 15 19 20 25 30 32 33 35 40 42
35 ÷ 5
30 ÷ 515 ÷ 5
10 ÷ 5
5 ÷ 5
20 ÷ 5
40 ÷ 5
25 ÷ 5
5 ÷ 545 ÷ 5
55 ÷ 5
45 ÷ 5
15 ÷ 5
25 ÷ 5
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DIV IS IONSevens
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Patchwork Diamonds
Solve the problems.If the answer is between 1 and 6, color the shape green.If the answer is between 7 and 12, color the shape red.Finish the design by coloring the other shapes with the colors of your choice.
Taking It Further: Jamie is making a quilt with 70 diamond-shaped pieces. If 7 pieces make one square, how many squares will her quilt have?
49 ÷ 7 84 ÷ 7
70 ÷ 7 63 ÷ 7
77÷ 7 56 ÷ 7
63 ÷ 7 77 ÷ 7
42 ÷ 7 7 ÷ 7
28 ÷ 7 14 ÷ 7
35 ÷ 721 ÷ 7
7 ÷ 714 ÷ 7
63 ÷ 7 70 ÷ 7
77 ÷ 7 56 ÷ 7
14 ÷ 7 28 ÷ 7
7 ÷ 7 35 ÷ 7
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DIV IS IONNines
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Star Puzzle
Solve the problems.If the answer is 1 or 2, color the shape pink.If the answer is 3 or 4, color the shape yellow.If the answer is 5 or 6, color the shape green.If the answer is 7 or 8, color the shape orange.If the answer is 9, 10, 11, or 12, color the shape blue.
Taking It Further: A clerk at the grocery store took 15 bottles of soda from onebox and 3 bottles of soda from another box. She put out 9 bottles of soda ineach row on the shelf. How many rows were there in all?
27 ÷ 9
9 ÷ 9
18 ÷ 9 72 ÷ 9
81 ÷ 9
108 ÷ 9
54 ÷ 9
99 ÷ 9
90 ÷ 9 63 ÷ 9
45 ÷ 9 36 ÷ 9
81 ÷ 9
108 ÷ 9 99 ÷ 9
90 ÷ 9
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DIV IS IONMixed Practice
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Missing Blocks
Solve the problems.If the answer is between 1 and 5, color the shape orange.If the answer is between 6 and 9, color the shape yellow.Color the other shapes green.
Taking It Further: Write five different division problems that all have 7 as their answer.
18 ÷ 3
21 ÷ 3
63 ÷ 749 ÷ 7 48 ÷ 656 ÷ 7
10 ÷ 5
81 ÷ 9
9 ÷ 936 ÷ 9
9 ÷ 3 21 ÷ 7
4 ÷ 2
20 ÷ 4 12 ÷ 4
24 ÷ 615 ÷ 5
30 ÷ 6
25 ÷ 545 ÷ 9
28 ÷ 4
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DIV IS IONTwo Digits ÷ One Digit With No Remainder
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Playing With Blocks
Solve the problems. If the answer is between 1 and 20, color the shape green.If the answer is between 21 and 30, color the shape red.If the answer is between 31 and 40, color the shape yellow.If the answer is between 41 and 50, color the shape pink.Finish the design by coloring the other shapes with the colors of your choice.
Taking It Further: Tim counted 36 bird wings. If each bird had 2 wings, how many birds were there in all?
80 ÷ 2
82 ÷ 2 81 ÷ 3
75 ÷ 3 86 ÷ 2
65 ÷ 538 ÷ 2
96 ÷ 3
76 ÷ 293 ÷ 3
84 ÷ 2 88 ÷ 4
72 ÷ 6
77 ÷ 7
96 ÷ 290 ÷ 3
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DIV IS IONTwo Digits ÷ One Digit With Remainders
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Fireworks
Solve the problems.If the remainder is 1 or 2, color the shape yellow.If the remainder is 3 or 4, color the shape red.If the remainder is 5 or 6, color the shape orange.Finish the design by coloring the other shapes with the colors of your choice.
Taking It Further: Rebecca had 89 pieces of candy to give to 4 friends. How manypieces did each person get? Were there any pieces left over? If so, how many?
53 ÷ 7
87 ÷ 9
19 ÷ 7
15 ÷ 464 ÷ 6
48 ÷ 5
85 ÷ 855 ÷ 7
68 ÷ 739 ÷ 5 35 ÷ 6 67 ÷ 9
59 ÷ 4
41 ÷ 6
42 ÷ 8
96 ÷ 7
57 ÷ 6
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Solve the problems.Then connect the dot below each problem on Line A to the dot beside its answer on Line B. The first line has been drawn for you. Some dots on Line B will not be used.
Taking It Further: Circle the problems that have a sum of 77.
a. 42 + 35 =_______ b. 69 + 8 =_______ c. 14 + 61 =_______
d. 17 + 60 =_______ e. 13 + 64 =_______
ADDIT IONTwo Digits Without Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Ice Cream Cone
69
32
64
75
71
45
47
74
85
94
62
88
25
58
53+16
62+13
43+31
64+24
34+24
46+12
73+15
32+42
52+23
53+16
Line A
Line B
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Solve the problems. Then connect the dot above each problem to the dot beside its answer. The first line has been drawn for you. Some dots will not be used.
Taking It Further: Fill in the missing numbers in the problems below.
c. 5 6+ 1 7
7 3
26
ADDIT IONTwo Digits With Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Bewitching Math
19+37
33+47
a. 2 3+ 2 7
5 0
67+1312
+7851
+3949
+2248
+23
29+27
71
75
90
70
80
68
56
68
b. 5 3+ 2 7
8 2
d. 2 8+ 5 7
5 0
e. 4 3+ 5 7
9 0
f. 4 5+ 5 7
7 1
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Solve the problems. Then connect the dot below each problem on Line A to the dot beside its answer on Line C. The first line has been drawn for you.Connect the dot above each problem on Line B to the dot beside its answer on Line C.
Taking It Further: Write three different addition problems that all have 11 as their answer.
ADDIT IONOne and Two Digits With Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Wave Action
12
25
32
Line A
23
20
24
16
11
1215
13
18
36
31
30
10
7+ 3
16+14
15+16
17+19
9+ 9
5+ 8
9+ 6
5+ 7
8+ 4
9+ 2
9+ 7
15+ 9
19+ 1
16+ 7
23+ 9
18+ 7
Line B
Line C
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42– 9
51–14
94–39
64–26
56–18
61– 6
64–27
50–17
28
SUBTRACT IONOne and Two Digits With Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems.Then connect the dot below each problem on Line A to the dot beside its answeron Line C. The first line has been drawn for you.Connect the dot above each problem on Line B to the dot beside its answer on Line C. Some dots on Line C will not be used.
Taking It Further: Amanda picked 9 flowers from her garden. She added them tosome flowers in a vase. Now she has 16 flowers in all. How many flowers werein the vase to begin with?
Stretching Taffy Line C
Line A
Line B45
–3846
–1761
–5376
–3847– 9
33–25
48–19
66–59
33
5
37
4
55
6
38
17
8
10
29
14
7
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MULT IPL ICAT IONThrees
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Spectacular Triangle
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: Find the number that will make the equation true.
a. ______ x 7 = 21 c. 9 x ______ = 27 e. 2 x 3 = ______
b. ______ x 5 = 15 d. 3 x ______ = 24 f. 6 x 3 = ______
15
27
3
21
24
9
33
12
3 x 6
3 x 0
3 x 2
3 x 10
3 x 4
3 x 11
3 x 3
3 x 8 3 x 7 3 x 1 3 x 9 3 x 5 18 0 6 30Daz
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MULT IPL ICAT IONFours
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Hourglass
Solve the problems. Then connect the dot beside each problem to the dot beside its answer.One line has been drawn for you.
Taking It Further: Fill in the missing numbers in this pattern.
4, 8, ______, ______, 20, ______, 28, ______, 36, ______, 44, ______.
12
44
20
48
40
28
24
36
4
32
16
8 4 x 6
4 x 2
4 x 3
4 x 11
4 x 5
4 x 12
4 x 10
4 x 7
4 x 4
4 x 8
4 x 1
4 x 9
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b. 1 0x 5
5 0
31
MULT IPL ICAT IONFives
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems.Then connect the dot beside each problem to the dot beside its answer on Line A. One line has been drawn for you. Some dots on Line A will not be used.
Taking It Further: Fill in the missing numbers.
Rainy DayLine A
5
30
40
35
24
20
24
45
10
5x 2
2x 5 5
x 99
x 5 5x 4
4x 5
5x 78
x 55x 65
x 1
7x 5 5
x 8 6x 5 1
x 5
c. 5x 0
0
a. 1 1x 5
5 5
f. 4 5x 5
6 0
e. 4x 5
2 0
d. 5x 0
1 5
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MULT IPL ICAT IONTwos and Fours
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Spider’s Web
Solve the problems. Then connect the dot beside each problem to the dot beside its answer. Two lines have been drawn for you.
Taking It Further: Nine students are making kites for science class. If they eachneed 3 yards of plastic, how much plastic will be needed all together?
(4 x 2)48
8(8 x 2)
10(9 x 2)
12(5 x 4)
14(6 x 4)16
(7 x 4)
18(8 x 4)
20(9 x 4)
24(10 x 4)
28(12 x 4)
(5 x 2)2
(3 x 2)40
(3 x 4)4
(1 x 4)36
(7 x 2)6
(1 x 2)32
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MULT IPL ICAT IONThrees and Fives
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems. Then connect the dot beside each problem to the dot beside its answer. Two lines have been drawn for you.
Taking It Further: Fill in the missing numbers in these two patterns.a. 50, 45, 40, _______, _______, _______, _______, _______, _______, _______.b. 30, 27, 24, _______, _______, _______, _______, _______, _______, _______.
Sunburst(1 x 5)
18
30(9 x 3)
3(7 x 3)
12(5 x 4)
5(8 x 5)6
(3 x 5)
25(6 x 3)
9(7 x 5)
27(8 x 3)
21(9 x 5)
(3 x 2)35
(4 x 3)15
(5 x 5)24
(1 x 3)40
(3 x 3)45
(5 x 6)20
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MULT IPL ICAT IONEights and Nines
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems. Then connect the dot beside each problem to the dot beside its answer.Two lines have been drawn for you. Some dots will not be used.
Taking It Further: There are 81 boxes of cereal. If the clerk puts them in rows of 9, how many rows will there be?
Lacy Heart
8 x 8
1 x 8
7 x 8
4 x 8
6 x 8
3 x 8
2 x 8
5 x 8
10 x 8
11 x 8
9 x 8
8 x 9
7 x 9
4 x 9
5 x 9
9 x 9
6 x 9
10 x 9
1 x 9
11 x 9
3 x 9
2 x 9
72
61
63
43
36
45
81
73
54
5790
64
12
8
62
56
32
48
28
24
2016
83 429 4099 80
27 8818 72
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MULT IPL ICAT IONMixed Practice
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems.Then connect the dot beside each problem on Lines B and C to the dot beside its answer on Line A. One line has been drawn for you.
Taking It Further: Fill in the missing numbers in this pattern. 12, 24, ______, 48, ______, 72, ______, ______, 108, ______, 132, ______.Name all of the things you can think of that come in a dozen.
Power Lines
2 x 64 x 3
10 x 2
12 x 28 x 2
14 x 5
8 x 9
5 x 610 x 3
2 x 912 x 3
12 x 45 x 2
5 x 8
12
20
24
16
70
72
40
10
48
36
18
30
5 x 4
3 x 6
4 x 6
6 x 6
4 x 4
8 x 6
10 x 7
10 x 1
12 x 6
Line A
Line B
Line C10 x 4
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MULT IPL ICAT IONTwo Digits x One Digit
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Octagon Web
Solve the problems. Then connect the dot beside each problem to the dot beside its answer on Line A. One line has been drawn for you.
Taking It Further: There are 27 students in class. If each student needs 4 pieces of construction paper to make an art project, how many pieces of constructionpaper will it take all together?
18 x 8
36 x 2
32 x 352 x 6
29 x 8
44 x 8
36 x 4
12 x 6
48 x 278 x 4
58 x 4
88 x 4
80 x 6
Line A
96 x 5
20 x 9
46 x 2 23 x 4
60 x 3
20 x 5 25 x 4
14 x 9 63 x 2
54 x 4 36 x 6
72
144
480
180
100
92
352
232
216126
96
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DIV IS IONThrees
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems. Then connect the dot beside each problem on Line B to thedot beside its answer on Line A. One line has been drawn for you. Some dotswill not be used.
Taking It Further: Circle the numbers that can be divided by 3 with no remainder.
3 5 6 19 23 24 25 27 30 29 11 12 13 17 4 15 7 10
Wind Seeker
Line B
Line A
18 ÷ 3
7
9
1
11
2
12
4
3
5
10
8
6
13
21 ÷ 3 3 ÷ 3 12 ÷ 3 15 ÷ 3 24 ÷ 3
27 ÷ 3 6 ÷ 3 9 ÷ 3 30 ÷ 3
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DIV IS IONTwos and Threes
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems. Then connect the dot beside each problem on Line A with the dot beside its answer on Line C. One line has been drawn for you.Connect the dot beside each problem on Line B to the dot beside its answer on Line C. Some dots will not be used.
Taking It Further: Solve these problems.a. 2 ÷ 2 = _______ d. 3 ÷ 3 = _______b. 6 ÷ 2 = _______ e. _____ ÷ 3 = 3c. 12 ÷ 2 = _______ f. _____ ÷ 3 = 6
String Tower
6 ÷ 3
27 ÷ 3
21 ÷ 3
Line C
Line BLine A
24 ÷ 3
12 ÷ 38 ÷ 2
16 ÷ 2
14 ÷ 2
18 ÷ 2
10 ÷ 2
4 ÷ 2
4
3
8
1
7
6
9
5
3
2
15 ÷ 3
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DIV IS IONFours and Fives
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Football
Solve the problems. Then connect the dot beside each problem on Line A to the dot beside its answeron Line B. One line has been drawn for you.Connect the dots beside each problem on Line C to the dot beside its answer onLine D.
Taking It Further: There are 40 people in line at the museum. If the guide lets themtour the museum in groups of 4, how many groups will there be?
4 ÷ 4
40 ÷ 5
20 ÷ 5
5 ÷ 5
30 ÷ 5
15 ÷ 5
10 ÷ 5
35 ÷ 5
45 ÷ 5
28 ÷ 4
36 ÷ 4
16 ÷ 4
8 ÷ 4
32 ÷ 4
20 ÷ 4
12 ÷ 4
3
Line B
Line C Line D
Line A
9
7
2
3
6
1
4
8
5
8
2
4
9
7
1
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DIV IS IONSixes and Sevens
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems.Then connect the dot beside each problem on Line A to the dot beside its answeron Line C. One line has been drawn for you.Connect the dot beside each problem on Line B to the dot beside its answer on Line C.
Taking It Further: Solve these problems.a. 28 ÷ 7 = ____ c. 56 ÷ 7 = ____ e. 77 ÷ 7 = ____ g. 84 ÷ 7 = ____ i. 70 ÷ 7 = ____b. 24 ÷ 6 = ____ d. 60 ÷ 6 = ____ f. 42 ÷ 6 = ____ h. 66 ÷ 6 = ____ j. 72 ÷ 6 = ____
Over and Under63 ÷ 7
7 ÷ 7
35 ÷ 7
42 ÷ 7
49 ÷ 7
21 ÷ 7
14 ÷ 7
2
Line A
Line B
Line C
3
7
6
5
1
9
54 ÷ 6
6 ÷ 6
30 ÷ 6
36 ÷ 6
42 ÷ 6
18 ÷ 6
12 ÷ 6
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DIV IS IONSevens and Eights
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems. Then connect the dot beside each problem on Line A to the dot above its answeron Line C. One line has been drawn for you.Connect the dot beside each problem on Line B to the dot above its answer on Line C.
Taking It Further: Write a word problem for this mathematical sentence: 64 ÷ 8 = 8.
Candlelight7 ÷ 7
35 ÷ 7
42 ÷ 7
21 ÷ 7
56 ÷ 7
28 ÷ 7
49 ÷ 7
14 ÷ 7
63 ÷ 7
72 ÷ 8
16 ÷ 8
56 ÷ 8
Line BLine A
Line C
32 ÷ 8
64 ÷ 8
24 ÷ 8
48 ÷ 8
40 ÷ 8
8 ÷ 8
1 5 6 3 8 4 7 2 9
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DIV IS IONTwo Digits ÷ One Digit With Remainders
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
SparklingDiamond
Solve the problems. Then connect the dot beside each problem on Lines A, B, C, and D to the dotbeside its answer on Line E. One line has been drawn for you.
Taking It Further: Five people are playing a game of cards. The entire deck of 52 cards must be divided evenly among the players. How many cards will eachplayer get? Will there be any cards left over? If so, how many?
58 ÷ 7
39 ÷ 4
26 ÷ 5
64 ÷ 9
22 ÷ 7
15 ÷ 7
23 ÷ 5
36 ÷ 5
66 ÷ 8
84 ÷ 9
41 ÷ 8
50 ÷ 7
8 R 29 R 35 R 17 R 14 R 32 R 13 R 1
25 ÷ 8
19 ÷ 9
35 ÷ 8
57 ÷ 8
Line E
Line C Line D
Line A Line B
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Rainbow Box (page 44) and Box of Many Colors (page 53) Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape each flap to the undersideof a pentagon or rectangle shape.
Five-Sided Pyramid (page 45) and Subtraction Tepee (page 49)Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape flap D to the underside of side D. Do the same thing with the restof the flaps.
Treasure Chest (page 46) and Boxcar (page 52)Cut out the pattern alongthe outer solid lines andfold along the dotted lines.Tape each flap to theunderside of either a rectangle or a square shape.
Addition Fun (page 47) and Leaning Cube (page 59)Cut out the pattern along theouter solid lines and fold alongthe dotted lines. Tape each flap to the underside of a rhombus shape.
Holiday Ornament (page 48) andIce Crystal (page 57)Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape each flap to the underside of a triangle shape.
Triangles and More Triangles(page 50) and Triangle Twister (page 56) Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape each flap to theunderside of a triangle shape.
Optical Illusion (page 51)andGemstones (page 54)Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape each flap to the undersideof the cylinder.
Sunshine (page 55)and Eye Dazzler (page 58) Cut out the pattern along the outersolid lines and fold along the dottedlines. Tape each flap to the inside ofthe cone.
Triangle Patches (page 60) andCheckerboard Tent (page 61) Cut out the pattern along the outersolid lines and fold along thedotted lines. Tape each flap tothe underside of a rectangleshape.
How to Assemble the 3-D Constructions
+ - ÷
+
+
+ - ÷
The activity pages that follow (pages 44–61) give students the opportunity to color designs based onanswers to mathematical problems and then construct them into three-dimensional shapes. While mostof the designs are self-explanatory, this page gives complete construction directions.
pentagonal prism
pentagonal pyramid
rectangular prism
rhombus
triangular pyramid
cylinder
cone
triangular prism
octahedron
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Solve the problems.If the answer is between 1 and 20, color the shape green.If the answer is between 21 and 40, color the shape yellow.If the answer is between 41 and 60, color the shape orange.If the answer is between 61 and 80, color the shape red.If the answer is between 81 and 99, color the shape blue.
For more fun, cut out the design and fold it into a .
44
ADDIT IONTwo Digits Without Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Rainbow Box
11+ 5
16+22
13+ 6
16+22
14+30
37+32
45+52
15+ 4
21+12
45+52
20+26
75+13
22+37
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Solve the problems.If the answer is between 1 and 40, color the shape yellow.If the answer is between 41 and 60, color the shape green.If the answer is between 61 and 90, color the shape orange.
For more fun, cut out thedesign and fold it into a .
ADDIT IONTwo Digits Without Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Five-SidedPyramid
15+44
17+42
54+32D
C
B
B
C
D
A
A
34+22
14+12
21+18
13+12
26+13
21+11
30+27
23+26
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Solve the problems.If the answer is even, color the shape red.If the answer is odd, color the shape purple. Finish the design by coloring the other shapes with the colors of your choice.
For more fun, cut out the design and fold it into a .
46
ADDIT IONThree Addends
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Treasure Chest
7 + 1 + 2
3 + 3 + 2
2 + 8 + 9
9 + 5 + 3 6 + 1 + 43 + 4 + 47 + 2 + 2
2 + 2 + 6
5 + 5 + 44 + 2 + 23 + 7 + 6
8 + 9 + 1
4 + 4 + 4
7 + 8 + 4
3 + 7 + 2
1 + 8 + 99 + 7 + 65 + 6 + 7
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47
Solve the problems.If the answer is less than 500, color the shape blue.If the answer is greater than 500, color the shape yellow.Finish the design by coloring the other shapes with the colors of your choice.
For more fun, cut out the design and fold it into a .
ADDIT IONThree Digits Without Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Addition Fun
311+172 222
+317
103+125
132+815
140+254
117+332
142+456
331+122
412+ 53
364+234
176+310
364+131
254+305
129+150
262+225
119+320
150+142
405+351
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Solve the problems.If the answer is less than 500, color the shape green.If the answer is greater than 500, color the shape red.
For more fun, cut out the design and fold it into a .
48
ADDIT IONThree Digits With Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Holiday Ornament
264+178
104+297
199+214
569+368
392+288
119+192
415+128
117+493
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SUBTRACT IONTwo Digits Without Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems.If the answer is between 1 and 30, color the shape black.If the answer is between 31 and 60, color the shape red.If the answer is between 61 and 90, color the shape yellow.
For more fun, cut out the design and fold it into a .
SubtractionTepee
14–12
44–11
79–23
92–11
87–16
98–22
81–11
79–12
64–33
99–44
69–46
21–10
54–32D
D
C
C
B
B
A
A
88–35
96–42
57–36
59–17
67–22
67–42
78–28
54–12
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SUBTRACT IONTwo Digits With Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Triangles andMore Triangles
Solve the problems. If the answer is even, color the shape blue.If the answer is odd, color the shape red.
For more fun, cut out the design and fold it into a .
32–14
91–16
77–39
66–18
57–39
95–28
43–37
70–24
68– 9
77–18
73–37
84–19
96–18
80–46
40–18
60–56
31–19
80–27
95–36
66–28
54–46
88–29
81–43
74–46
76– 9
32–28
23–15
94–48
43–25
70–13
74–17
27– 9
24–18
93–18
85–37
96–48
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SUBTRACT IONTwo Digits With Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems.If the answer is between 0 and 25, color the shape orange.If the answer is between 26 and 99, color the shape black.Finish the design by coloring the other shapes with the colors of your choice.
For more fun, cut out the design and fold it into a .
Optical Illusion
43–24
60– 8
22–16
90–14
98–29 13
– 976
–58
77–1831
–13
78–19
64– 9
82–64
84–28
78–59
62–37
75–1687
–6863–25
82–1718
– 996–25
95–27
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SUBTRACT IONThree Digits Without Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Boxcar
Solve the problems. If the answer is between 1 and 500, color the shape black.If the answer is between 501 and 999, color the shape red.
For more fun, cut out the design and fold it into a .
808–301
599–501
818–313
918–707
698–693
347–102
693–183
670–560
510–210
919–212
787–622
934–401
667– 23
459–233
745–115
689–251
895–120
587–257
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SUBTRACT IONThree Digits Without Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Box of Many Colors
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 999, color the shape purple.
For more fun, cut out the design and fold it into a .
473–142
814–210
692–581
710–210
975–152
388–221
683–233
782–251
890–730
784–111
598–247
801–200
577–241
999–399
988–117
965–133
214–103
997–196
678–333
985–205
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SUBTRACT IONThree Digits With Regrouping
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Gemstones
Solve the problems.If the answer is between 0 and 300, color the shape red.If the answer is between 301 and 600, color the shape green.If the answer is betwen 601 and 999, color the shape yellow.Finish the design by coloring the other shapes with the colors of your choice.
For more fun, cut out the design and fold it into a .
493–108
996–198
813–174
984–398
707–498
872–289
756–267
609–419
815–124
890–198
587–498
752–653
749– 98
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Solve the problems. If the answer is between 1 and 12, color the shape yellow.If the answer is between 13 and 24, color the shape orange.
For more fun, cut out the design and fold it into a .
55
MULT IPL ICAT IONTwos
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Sunshine
4 x 22 x 10
2 x 4
2 x 11
2 x 1
2 x 9
3 x 2
11 x 25 x 2
9 x 2
2 x 2
10 x 2
2 x 5
2 x 12
2 x 39 x 2
1 x 2
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MULT IPL ICAT IONEights
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Triangle Twister
Solve the problems.Color the center triangles yellow.If the answer is between 1 and 33, color the shape orange.If the answer is between 34 and 65, color the shape purple. If the answer is between 66 and 99, color the shape blue.
For more fun, cut out the design and fold it into a .
8 x 9
8 x 5
8 x 6
8 x 1
8 x 11
8 x 8
8 x 4
8 x 12
8 x 7
8 x 3
8 x 2
8 x 10
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MULT IPL ICAT IONThree Digits � One Digit
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Ice Crystal
Solve the problems.If the answer is an even number, color the shape orange.If the answer is an odd number, color the shape brown.
For more fun, cut out the design and fold it into a .
147x 1
142x 6
107x 3
511x 3
175x 5
212x 7
119x 5
144x 9
107x 7
816x 6
149x 7
214x 4
315x 6
918x 4
173x 9
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DIV IS IONTwos
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Eye DazzlerSolve the problems. If the answer is between 1 and 6, color the shape red. If the answer is between 7 and 12, color the shape orange.
For more fun, cut out the design and fold it into a .
14 ÷ 2 22 ÷ 2
2 ÷ 2
4 ÷ 2
16 ÷ 2
18 ÷ 2
8 ÷ 2
24 ÷ 2
8 ÷ 220 ÷ 2
6 ÷ 2
16 ÷ 24 ÷ 2
14 ÷ 2
2 ÷ 2
10 ÷ 26 ÷ 2
20 ÷ 2
12 ÷ 2
18 ÷ 2
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DIV IS IONFours
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Leaning Cube
Solve the problems. If the answer is between 1 and 6, color the shape yellow. If the answer is between 7 and 12, color the shape blue.
For more fun, cut out the design and fold it into a .
4 ÷ 4
28 ÷ 4
16 ÷ 4
12 ÷ 4
36 ÷ 4
44 ÷ 4
20 ÷ 4
48 ÷ 4
24 ÷ 4
32 ÷ 4
8 ÷ 4
40 ÷ 4
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DIV IS IONSixes
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Triangle Patches
Solve the problems. If the answer is 9 or less, color the shape green.If the answer is 10 or greater, color the shape orange.Finish the design by coloring the other shapes withthe colors of your choice.
For more fun, cut out the design and fold it into a .
72 ÷ 6
60 ÷ 6
66 ÷ 6
12 ÷ 654 ÷ 6
18 ÷ 648 ÷ 6
36 ÷ 642 ÷ 6
30 ÷ 624 ÷ 6
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DIV IS IONEights
+ - ÷
+
+
+ - ÷
Name ___________________________________________________________
Solve the problems.If the answer is between 1 and 6, color the shape black.If the answer is between 7 and 12, color the shape red.Continue the pattern by coloring every other shape red or black.
For more fun, cut out the design and fold it into a .
Checkerboard Tent
48 ÷ 888 ÷ 8
40 ÷ 8
8 ÷ 8
72 ÷ 8
64 ÷ 8 32 ÷ 8 96 ÷ 8
56 ÷ 8 24 ÷ 8 80 ÷ 8 16 ÷ 8
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Answers for Taking It Further questions,pages 8–42.
Page 8: Tumbling Boxes99, 86, 83, 73, 70, 69, 66, 58, 54, 49, 48, 44, 41,35, 33, 29, 27, 26, 22
Page 9: KaleidoscopeAnswers will vary.
Page 10: Blooming Octagon750, 900, 1,050
Page 11: Super StarAnswers will vary.
Page 12: Grandma’s QuiltShe had 15 tickets left.
Page 13: Morning Glory594
Page 14: Building Blocks24 feet
Page 15: Stargazer28, 35, 49, 56, 63, 77, and 84
Page 16: Space Traveler8 � 49= 392
Page 17: Locking Boxes1 day
Page 18: Star-Struck Multiplication45, 36, and 27
Page 19: Exploding Star5, 10, 15, 20, 25, 30, 35, 40
Page 20: Patchwork Diamonds10 squares
Page 21: Star Puzzle2 rows
Page 22: Missing BlocksAnswers will vary.
Page 23: Playing With Blocks18 birds
Page 24: Fireworks22 pieces; yes, one piece was left over.
Page 25: Ice Cream Conea, b, d, e
Page 26: Bewitching Matha. 3; b. 9; c. 7; d. 85; e. 4; f. 26
Page 27: Wave ActionAnswers will vary.
62
Answers
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+
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+ - ÷
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Page 28: Stretching Taffy7
Page 29: Spectacular Trianglea. 3; b. 3; c. 3; d. 8; e. 6; f. 18
Page 30: HourglassMissing numbers: 12, 16, 24, 32, 40, 48
Page 31: Rainy Daya. 11; b. 10; c. 0; d. 3; e. 4; f. 12
Page 32: Spider’s Web27 yards
Page 33: Sunbursta. 35, 30, 25, 20, 15, 10, 5b. 21, 18, 15, 12, 9, 6, 3
Page 34: Lacy Heart9
Page 35: Power LinesMissing numbers: 36, 60, 84, 96, 120, 144; answers will vary.
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Page 36: Octagon Web108
Page 37: Wind Seeker3, 6, 24, 27, 30, 9, 12, 15
Page 38: String Towera. 1; b. 3; c. 6; d. 1; e. 9; f. 18
Page 39: Football10
Page 40: Over and Undera. 4; b. 4; c. 8; d. 10; e. 11; f. 7; g. 12; h. 11; i. 10; j. 12
Page 41: CandlelightAnswers will vary.
Page 42: Sparkling Diamond10 with 2 cards left over
64
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