134
Extension Book
H A R C O U R T S C H O O L P U B L I S H E R S Extension Book
Extension Book
Developed by Education Development Center, Inc. through National Science Foundation
Grant No. ESI-0099093
Published and distributed by:
www.Math.SchoolSpecialty.com
Think Math! Extension Book 1358071
Printed in the United States of America ISBN 13: 978-0-15-342499-1
Printing 2 ISBN 10: 0-15-342499-0
If you have received these materials as examination copies free of charge, School Specialty Math retains title to the materials and they may not be resold. Resale of examination copies is strictly prohibited and is illegal.
Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format.
Copyright © by Education Development Center, Inc.
All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher.
Permission is hereby granted to individuals using the corresponding student’s textbook or kit as the major vehicle for regular classroom instruction to photocopy entire pages from this publication in classroom quantities for instructional use and not for resale. Requests for information on other matters regarding duplication of this work should be addressed to School Permissions and Copyrights, School Specialty Math, Inc., 80 Northwest Boulevard, Nashua, NH 03063.
This program was funded in part through the National Science Foundation under Grant No. ESI-0099093. Any opinions, findings, and conclusions or recommendations expressed in this program are those of the authors and do not necessarily reflect the views of the National Science Foundation.
iii
Contents
Chapter 1 Counting Strategies1.1 Repeating and Growing Patterns ............. E1
1.2 Working with Number Patterns ................ E2
1.3 Growing Addition Sentences .................... E3
1.4 Completing Number Lines ........................ E4
1.5 Completing Number Sentences ................ E5
1.6 Skip-Counting on the Number Line .......... E6
1.7 More Skip-Counting on the Number Line .. E7
1.8 Systematic Counting ................................. E8
1.9 Finding Ways to Make 10 .......................... E9
1.10 Previewing Multiplication, Part I ......... E10
1.11 Previewing Multiplication, Part II ........ E11
Chapter 2 Working with 102.1 Adding with 10 ....................................... E12
2.2 Introducing > and < ................................ E13
2.3 Comparing Sums to Multiples of 10 ....... E14
2.4 Sums Greater than 20 ............................. E15
2.5 Adding and Subtracting with 10 ............ E16
2.6 More Adding and Subtracting with 10 ... E17
2.7 Adding Numbers Close to 10 .................. E18
2.8 Rounding to the Nearest 10 ................... E19
Chapter 3 Place Value3.1 Revising an Estimate .............................. E20
3.2 Finding Missing Numbers ....................... E21
3.3 Representing Two-Digit Numbers .......... E22
3.4 Representing Three-Digit Numbers ........ E23
3.5 Finding All Possible Combinations ......... E24
3.6 Using Place Value to Compare ................ E25
3.7 Connecting Numbers and Words ............ E26
3.8 Working with Hundreds, Tens, and Ones ................................................. E27
Chapter 4 Addition and Subtraction with Place Value4.1 Exploring Missing Addends .................... E28
4.2 Exploring Subtraction withBase-Ten Blocks ...................................... E29
4.3 Wonder Wheel Addition and Subtraction ............................................. E30
4.4 Introducing the Cross Number Puzzle .... E31
4.5 Addition and Subtraction ....................... E32
4.6 Adding a Multiple of 10 .......................... E33
4.7 Fewest Dimes and Pennies ..................... E34
4.8 Adding Money Amounts ......................... E35
Chapter 5 Probability and Data5.1 Exploring Probability .............................. E36
5.2 Solving Problems About Age .................. E37
5.3 Tables and Venn Diagrams ..................... E38
5.4 Making and Using Bar Graphs ................ E39
5.5 Making and Using Pictographs ...............E40
5.6 Graphing Change Over Time ................... E41
Chapter 6 Measuring Time6.1 Exploring Time ........................................E42
6.2 How Long Does It Take? .........................E43
6.3 How Far? .................................................E44
6.4 How Far? How Fast? ................................E45
6.5 Telling Time to 5 Minutes .......................E46
6.6 Telling Time to the Minute ..................... E47
6.7 Calendar and Ordinal Numbers ..............E48
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Contents
Chapter 7 Doubling, Halving, and Fractions7.1 Exploring One Half .................................. E49
7.2 Solving Equations ................................... E50
7.3 Doubling and Halving Numbers ............. E51
7.4 Doubling Squares .................................... E52
7.5 Doubling Sides ........................................ E53
7.6 Thirds and Fourths ..................................E54
7.7 Fair Shares .............................................. E55
7.8 Exploring Equivalent Fractions ............... E56
7.9 Fraction of a Number .............................. E57
Chapter 8 Building Addition and Subtraction Fluency8.1 Adding with Cuisenaire® Rods ............... E58
8.2 Exploring Fact Families ........................... E59
8.3 Connecting Addition and Subtraction ....E60
8.4 Adding and Subtracting Using 5 and 10 .................................................. E61
8.5 Adding and SubtractingNumbers Near 10 .................................... E62
8.6 Place Value and Cross Number Puzzles ... E63
8.7 Breaking Numbers Apart ........................E64
8.8 Add and Subtract .................................... E65
8.9 Comparing Collections of Coins ............. E66
8.10 Creating and Solving Story Problems ... E67
8.11 Strategies for Multiple-ChoiceQuestions ..............................................E68
Chapter 9 Two-Dimensional Figures and Spatial Sense9.1 Sorting Polygons by Attributes .............. E69
9.2 Finding Different Polygons ..................... E70
9.3 Building with Triangles ........................... E71
9.4 Looking at Reflections ............................ E72
9.5 Lines of Symmetry .................................. E73
9.6 Cutting Polygons Apart .......................... E74
9.7 Measuring Area ...................................... E75
9.8 Recording Paths ...................................... E76
9.9 Directions from Here to There ................ E77
Chapter 10 Adding and Subtracting Larger Numbers10.1 Making Sums of 100 ............................. E78
10.2 Adding with Coins ................................ E79
10.3 Patterns in Money ................................E80
10.4 Place Value in Money ........................... E81
10.5 Computing with Money ........................ E82
10.6 Adding Three-Digit Numbers ............... E83
10.7 Subtracting Three-Digit Numbers ........E84
10.8 Completing Puzzles ..............................E85
10.9 Add and Subtract Numbers Near Hundreds .....................................E86
10.10 Adding Three Numbers ....................... E87
10.11 Subtracting to Find Missing Addends ..............................................E88
10.12 Practice Adding and Subtracting ........ E89
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Chapter 11 Skip-Counting and Equivalent Sets11.1 Looking for Patterns in Jumps .............E90
11.2 Combining Equivalent Sets .................. E91
11.3 Making All Possible Arrays ................... E92
11.4 Adding Equivalent Sets ........................ E93
11.5 Working with Rectangular Arrays ........E94
11.6 Building Multiples ................................E95
11.7 Dividing Amounts of Time ...................E96
11.8 Sharing Among Three Children ............ E97
11.9 Fractions and Division ..........................E98
Chapter 12 Measuring Length12.1 Measuring Length with
Nonstandard Units ...............................E99
12.2 Measuring to the Nearest Inch .......... E100
12.3 Most Reasonable Estimates ............... E101
12.4 Relating Inches, Feet, and Yards ........ E102
12.5 Using Fractions to Measure Length ... E103
12.6 Measuring to the Nearest Centimeter .......................................... E104
12.7 Measuring in Centimeters and Meters ................................................ E105
Chapter 13 Exploring Multiplication and Division13.1 Counting Combinations ...................... E106
13.2 Counting Intersections ....................... E107
13.3 Finding Missing Numbers ................... E108
13.4 Finding One Half ................................. E109
13.5 Order of Operations ........................... E110
13.6 Breaking Numbers Apart ....................E111
13.7 Working with Money .......................... E112
Chapter 14 Comparing and Contrasting Three-Dimensional Figures14.1 Two- and Three-Dimensional
Figures ................................................ E113
14.2 Faces ................................................... E114
14.3 Edges .................................................. E115
14.4 Vertices ............................................... E116
14.5 Cylinders and Cones ............................E117
Chapter 15 Capacity, Weight/Mass, and Temperature15.1 Comparing and Ordering Capacity .... E118
15.2 Measuring in Cups, Pints, Quarts, and Gallons ......................................... E119
15.3 Customary and Metric Measurement ..................................... E120
15.4 Comparing Weights ............................ E121
15.5 Measuring in Grams and Kilograms ........................................... E122
15.6 Measuring in Ounces, Pounds, and Tons ............................................. E123
15.7 Measurement Tools ............................ E124
Chapter 16 Multiplying and Dividing16.1 Completing Multiplication Tables ...... E125
16.2 Finding Multiples ................................ E126
16.3 Writing Multiplication andDivision Fact Families ......................... E127
16.4 Number Puzzles .................................. E128
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Repeating and Growing PatternsWhat is missing?
1.
2.
3.
a t c t c a
4.
5.
12:00 4:00 6:00 8:00
6.
20 18 16 12 10 4
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ExtensionLesson 1
Chapter 1
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Working with Number PatternsContinue each pattern.
1. 1, 3, 5, 7, 9, , , , ,
2. 0, 2, 4, 6, , , , ,
3.
4.
5. Find the rule. Continue the pattern.
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ExtensionLesson 2
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Growing Addition SentencesWhat is missing? Continue the pattern.
1 � 1
3 � 1 � 2
� 1 � 2 � 3
� 1 � 2 � 3 �
� 1 � 2 � 3 � 4 �
� 1 � 2 � 3 � 4 � 5 � 6
� 1 � 2 � 3 � 4 � 5 � 6 �
� 1 � 2 � 3 � 4 � 5 � 6 � 7 �
�
�
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ExtensionLesson 3
Chapter 1 E3
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Completing Number LinesWhat is missing?
1.
2.
3.
4.
5.
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E4 Extension Book Chapter 1
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Completing Number SentencesLabel each number line. Complete the addition sentence.
1.
7 � � 13
2.
� 6 � 23
3.
� 6 � 53
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ExtensionLesson 5
Chapter 1 E5
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Skip-Counting on the Number LineSkip-count. What is missing?
1.
Number of Jumps 0 1 2Landing Number 0 5 15
2.
Number of Jumps 0 1 2Landing Number 1 6
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E6 Extension Book Chapter 1
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More Skip-Counting on the Number LineWhat number belongs in each tag?
1.
2.
3.
4.
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ExtensionLesson 7
Chapter 1 E7
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Systematic CountingHow many different towers can you build?Rules: • Use one blue cube in each tower.
• Use cubes of another color to make the right height.
Height Different Towers Number of Towers
1.
7 cubes tall
2.
8 cubes tall
3. How many different towers could you make with 20 cubes? Explain your answer.
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E8 Extension Book Chapter 1
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Finding Ways to Make 10Draw a picture that goes with each number sentence.
1. 7 � 3 � 10
2. 5 � 5 � 10
3. 9 � 1 � 10
4. 6 � 4 � 10
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ExtensionLesson 9
Chapter 1 E9
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Previewing Multiplication, Part ICombine the gray letters with the white letters. What words can you make?
Write the words.
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E10 Extension Book Chapter 1
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Previewing Multiplication, Part IIWhat is missing?
1.
2.
3.
4.
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ExtensionLesson 11
Chapter 1 E11
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Adding with 10What is the value of in each picture?
1.
2.
5 � 5 � 10 � 1 �10 � 1
3.
� 3 � 10 � 2
4.
� 2 � 2 � 10
5.
� 2 � 10
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E12 Extension Book Chapter 2
ExtensionLesson 1
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Introducing � and �Write �, �, or �.
1.
813 � 35 813 � 36
2.
28 � 28 � 28 82 � 82 � 82
3.
344 � 433 432 � 345
4.
123 � 123 � 123 345 � 345 � 345
5.
25 � 25 � 25 25 � 25
6.
5 � 7 50 � 50
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ExtensionLesson 2
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Comparing Sums to Multiples of 10Write �, �, or �.
1.
27 � 37 60
2.
38 � 13 40
3.
51 � 19 70
4.
27 � 27 60
5.
54 � 36 70
6.
154 � 36 170
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E14 Extension Book Chapter 2
ExtensionLesson 3
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Sums Greater than 20Which pairs have a sum greater than 20? Circle them as fast as you can.
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ExtensionLesson 4
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Adding and Subtracting with 10What numbers are missing? Use the patterns to help you.
1.
4.
2.
5.
3.
6.
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E16 Extension Book Chapter 2
ExtensionLesson 5
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More Adding and Subtracting with 10What is missing? Use the patterns to help you.
1.
2.
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Chapter 2 Extension Book E17
ExtensionLesson 6
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Adding Numbers Close to 10Find each rule. Complete the table.
1.
m 0 8 3 26 91 109
9 17 53 83 109
2.
k 3 22 4 27 63 81 111
14 33 15 59 111
3.
n 24 33 51 45 90 82 79
32 41 59 74 25
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E18 Extension Book Chapter 2
ExtensionLesson 7
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Rounding to the Nearest 10Round to the nearest 10 to solve each problem. Show your work.
1. Carmen has 9 pennies. Her brother has a dime. About how much money do they have in all?
about ¢
2. Bill has 32 stamps. A friend gives him 9 more. About how many stamps does Bill have now?
about stamps
3. Mrs. Stein has a pack of 30 pencils. She gives 11 pencils to students. About how many does she have left?
about pencils
4. Luis read for 19 minutes on Saturday. He read for 27 minutes on Sunday. About how long did he read in all?
about minutes
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Chapter 2 Extension Book E19
ExtensionLesson 8
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Revising an EstimateHow many are there? Estimate. Count some and revise your estimate. Find the total.
1.
Estimate Revised Estimate Total
2.
Estimate Revised Estimate Total
3.
Estimate Revised Estimate Total
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E20 Extension Book Chapter 3
ExtensionLesson 1
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Finding Missing NumbersThere are tennis balls in each bag.What numbers are missing?
7 tens 4 ones
balls
2 tens ones
balls
tens
7 ones
balls
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Chapter 3 Extension Book E21
ExtensionLesson 2
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Representing Two-Digit NumbersAdd across and down.
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E22 Extension Book Chapter 3
ExtensionLesson 3
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Representing Three-Digit NumbersAdd across and down.
210
201
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Chapter 3 Extension Book E23
ExtensionLesson 4
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Finding All Possible CombinationsWrite all of the possible addition sentences with pairs of these numbers.
57 68 84
First Number
Second Number Addition Sentence
57 68 57 + 68 = 125
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E24 Extension Book Chapter 3
ExtensionLesson 5
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1. 436 439 479
�
�
�
3. 895 905 995
�
�
�
5. 612 632 625
�
�
�
2. 228 218 208
�
�
�
4. 571 471 771
�
�
�
6. 690 609 96
�
�
�
Using Place Value to CompareWrite three different comparisons for each set of numbers.
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ExtensionLesson 6
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1 hundred less than two hundred
fifty-three
1 hundred morethan sixty-eight
2 tens more than one hundred three
2 ones more than one hundred forty
4 tens less than one hundred
sixty-two
Connecting Numbers and WordsWhat number is it?
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E26 Extension Book Chapter 3
ExtensionLesson 7
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Working with Hundreds, Tens, and OnesWhat is missing?
1. 2.
3. 4.
5. 6.
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Chapter 3 Extension Book E27
ExtensionLesson 8
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Exploring Missing Addends What is missing? Draw the symbols.
1. 2.
3. 4.
5. 6.
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E28 Extension Book Chapter 4
ExtensionLesson 1
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Exploring Subtraction with Base-Ten BlocksWhat is missing? Draw the symbols.
1. 2.
3. 4.
5. 6.
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Chapter 4 Extension Book E29
ExtensionLesson 2
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Wonder Wheel Addition and SubtractionSolve each problem. Draw symbols to show your work.
1. There are 55 wheels in stock. The factory makes 32 more wheels. What is the total number of wheels?
wheels
2. There is an order for 65 wheels. There are 24 wheels in stock. How many more wheels do they need to fill the order?
wheels
3. There are 28 wheels in stock. The factory makes 46 more wheels. What is the total number of wheels?
wheels
4. A customer orders 90 wheels. There are 65 wheels in stock. How many more wheels do they need to fill the order?
wheels
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E30 Extension Book Chapter 4
ExtensionLesson 3
MNENL07AWK2X_EX_C04_028-035_V9.indd E30MNENL07AWK2X_EX_C04_028-035_V9.indd E30 12/7/06 12:09:14 PM12/7/06 12:09:14 PM
Introducing the Cross Number PuzzleWhat is missing? Draw the symbols.
1. 2.
3. 4.
5. 6.
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Chapter 4 Extension Book E31
ExtensionLesson 4
MNENL07AWK2X_EX_C04_028-035_V9.indd E31MNENL07AWK2X_EX_C04_028-035_V9.indd E31 12/7/06 12:09:16 PM12/7/06 12:09:16 PM
Addition and SubtractionShow a way to complete each puzzle.
1.
2.
3. ©
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E32 Extension Book Chapter 4
ExtensionLesson 5
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Adding a Multiple of 10Solve each problem. Draw symbols if you need help.
1. On Monday night when Brenda finishes reading, she is on page 35 of her book. She reads 30 more pages every night. On what page will she be on Wednesday after reading?
page
2. John has 58 baseball cards. Bill has 40 less cards than John. How many baseball cards does Bill have?
baseball cards
3. Mr. Lee buys 2 books of 20 stamps. He has 45 stamps at home. How many stamps does Mr. Lee have in all?
stamps
4. Ellen has 45 stickers. Lena has 20 more stickers than Ellen. How many stickers do the two girls have in all?
stickers
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Chapter 4 Extension Book E33
ExtensionLesson 6
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Fewest Dimes and PenniesWrite each money amount. Show the amount with the fewest coins.
Money AmountHow many
dimes?
How many
pennies?
How much
money?
1. sixty cents 6 0 60¢
2. 59¢
3. 61¢
4. 70¢
5. 77¢
6. 87¢
7. 90¢
8. 95¢
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E34 Extension Book Chapter 4
ExtensionLesson 7
MNENL07AWK2X_EX_C04_028-035_V9.indd E34MNENL07AWK2X_EX_C04_028-035_V9.indd E34 12/7/06 12:09:20 PM12/7/06 12:09:20 PM
Adding Money AmountsWhat is missing?
1. 2.
3. 4.
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Chapter 4 Extension Book E35
ExtensionLesson 8
MNENL07AWK2X_EX_C04_028-035_V9.indd E35MNENL07AWK2X_EX_C04_028-035_V9.indd E35 12/7/06 12:09:21 PM12/7/06 12:09:21 PM
Exploring Probability Is each game fair? Explain.
1. There are 7 green cubes and 4 orange cubes in a bag. Liz gets 1 point if she pulls a green cube. Rob gets 1 point if he pulls an orange cube.
2. Tim and Lin play a game by tossing a penny. Lin wins if the penny lands on heads. Tim wins if the penny lands on tails.
3. Mira and Ray play a game with a spinner.
It is 1 _ 2 red, 1
_ 4 green, and 1
_ 4 blue.
Mira wins if the spinner lands on red.
Ray wins if the spinner lands on green.
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E36 Extension Book Chapter 5
ExtensionLesson 1
MNENL07AWK2X_EX_C05_036-041_V6.indd E36MNENL07AWK2X_EX_C05_036-041_V6.indd E36 12/7/06 12:45:12 PM12/7/06 12:45:12 PM
Solving Problems About Age Robbie was born in 1990. His sister Megan was born in 1996.
1. Who is older?
2. How many years older is Robbie than his sister? years
3. How old is Robbie now?
Monique was born in 1994. She got glasses in 2003. Her brother Marcus was 2 at the time.
4. In what year was Marcus born?
5. How old was Monique when Marcus was born?
6. How old was Monique when she got glasses?
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Chapter 5 Extension Book E37
ExtensionLesson 2
MNENL07AWK2X_EX_C05_036-041_V6.indd E37MNENL07AWK2X_EX_C05_036-041_V6.indd E37 12/7/06 12:45:14 PM12/7/06 12:45:14 PM
Tables and Venn Diagrams 1. You have two number cubes with 1 to 6. What are
all of the possible addition facts you could make by tossing both cubes?
� 1 2 3 4 5 6
1 1 + 12
3
4
5
6
2. Sort the sums using a Venn Diagram.
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E38 Extension Book Chapter 5
ExtensionLesson 3
MNENL07AWK2X_EX_C05_036-041_V7.indd E38MNENL07AWK2X_EX_C05_036-041_V7.indd E38 1/19/07 3:36:34 PM1/19/07 3:36:34 PM
Making and Using Bar GraphsThese were the most popular baby names in the United States from 1990 to 1999.
Boy Names
AndrewChristopherDanielJacobJoshua
JosephMatthewMichaelNicholasTyler
Girl Names
AshleyAmandaBrittanyElizabethEmily
JessicaMeganSamanthaSarahTaylor
1. Make bar graphs for the two lists of names.
2. Which list has the longest name?
3. Which list has more names with exactly five letters?
4. Write a sentence comparing the lengths of names in the two lists.
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Chapter 5 Extension Book E39
ExtensionLesson 4
MNENL07AWK2X_EX_C05_036-041_V6.indd E39MNENL07AWK2X_EX_C05_036-041_V6.indd E39 12/7/06 12:45:19 PM12/7/06 12:45:19 PM
Making and Using Pictographs 1. Use the tally table to make a pictograph. Choose
a symbol and make a key.
Muffi ns Sold at Bake Sale
Muffi n Tally
corn
chocolate
raspberry
lemon
Write a number sentence to answer each question.
2. How many fewer lemon than chocolate muffins were sold?
3. How many of the muffins sold were not chocolate?
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E40 Extension Book Chapter 5
ExtensionLesson 5
MNENL07AWK2X_EX_C05_036-041_V6.indd E40MNENL07AWK2X_EX_C05_036-041_V6.indd E40 12/7/06 12:45:20 PM12/7/06 12:45:20 PM
Graphing Change Over TimeThe Olympic Games take place every four years. This table gives winning times for the Olympic event, Women’s 10K Cross Country Skiing.
1. Use the data in the table to make a line graph. Show the change over time. Remember to label the graph.
Winning Times for an Olympic Ski Event, 1964–1988
Year Number of Minutes
1964 40
1968 37
1972 34
1976 30
1980 31
1984 32
1988 31
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Chapter 5 Extension Book E41
ExtensionLesson 6
MNENL07AWK2X_EX_C05_036-041_V7.indd E41MNENL07AWK2X_EX_C05_036-041_V7.indd E41 1/19/07 3:36:38 PM1/19/07 3:36:38 PM
Exploring TimeAbout how long does each activity take? Choose a time unit from the box.
1. Kim and Ray go fishing at the town lake. How long will they be gone? hours
2. Seth’s family is on a camping trip. How long will they be gone?
3. Shiloh is brushing her teeth. How long will it take?
4. Brian is putting on his socks. How long will it take?
5. Sarah planted tomato seeds in her garden. How long until leaves grow?
6. Tim is sharpening his pencil. How long will it take?
7. Sela flies on a plane across the U.S. How long will the plane ride last?
8. Shari is blowing out the candles on a cake. How long will it take?
Time Units
seconds hours
minutes days
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E42 Extension Book Chapter 6
ExtensionLesson 1
MNENL07AWK2X_EX_C06_042-048_V8.indd E42MNENL07AWK2X_EX_C06_042-048_V8.indd E42 12/13/06 11:18:19 AM12/13/06 11:18:19 AM
How Long Does It Take?What is missing?
1. There are 2 very hungry monkeys. Each monkey eats 1 banana every minute.
Bananas Eaten By 2 Monkeys
Time That Has Passed
Number of Bananas Eaten
20 minutes 4030 minutes
100
1 hour
2. Now there are 3 hungry monkeys. Each monkey eats 1 banana every minute.
Bananas Eaten By 3 Monkeys
Time That Has Passed
Number of Bananas Eaten
20 minutes 6030 minutes
1 hour
1 hour and 10 minutes
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Chapter 6 Extension Book E43
ExtensionLesson 2
MNENL07AWK2X_EX_C06_042-048_V8.indd E43MNENL07AWK2X_EX_C06_042-048_V8.indd E43 12/13/06 11:18:20 AM12/13/06 11:18:20 AM
How Far?Kyle rides his bike 1 mile every 10 minutes. Look at the clocks and fill in the mile flags.
2
miles
miles
miles
miles
miles
miles
Start
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E44 Extension Book Chapter 6
ExtensionLesson 3
MNENL07AWK2X_EX_C06_042-048_V10.indd E44MNENL07AWK2X_EX_C06_042-048_V10.indd E44 1/23/07 1:38:53 PM1/23/07 1:38:53 PM
How Far? How Fast?
The tortoise walks 1 mile in 1 hour.
The hare runs 6 miles in 1 hour.
What is missing?
Number of Hours
Miles Tortoise Walks
Miles HareRuns
1. a half a half 32. 1
3. 1 and a half
4. 2
5. 2 and a half
6. 3
7. 5
8. 36
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Chapter 6 Extension Book E45
ExtensionLesson 4
MNENL07AWK2X_EX_C06_042-048_V8.indd E45MNENL07AWK2X_EX_C06_042-048_V8.indd E45 12/13/06 11:18:26 AM12/13/06 11:18:26 AM
12:451:10
books
minutes
books
minutes
books
minutes
books
minutes
Total Books Read
1:501:40
Telling Time to 5 MinutesThe speed reader reads 1 book every 5 minutes. What is the total number of books and minutes for each time?
12:1512:00
Start
3 books
15 minutes
End
Noon
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5
E46 Extension Book Chapter 6
ExtensionLesson 5
MNENL07AWK2X_EX_C06_042-048_V8.indd E46MNENL07AWK2X_EX_C06_042-048_V8.indd E46 12/13/06 11:21:11 AM12/13/06 11:21:11 AM
Telling Time to the MinuteWrite numbers and draw clock hands to show each time.
1. 6 minutes past 6 2. 10 minutes to 12
3. 21 minutes after 9 4. 12 minutes to 2
5. 25 minutes to 5 6. a quarter past 10
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Chapter 6 Extension Book E47
ExtensionLesson 6
MNENL07AWK2X_EX_C06_042-048_V8.indd E47MNENL07AWK2X_EX_C06_042-048_V8.indd E47 12/13/06 11:18:31 AM12/13/06 11:18:31 AM
Calendar and Ordinal Numbers 1. What is your favorite month? Write the name of the
month and this year. Then fill in the dates. Use a calendar to help.
,
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
2. Circle a number. What date is it?
What day of the week is it?
3. Color the Wednesdays green.What dates did you color?
4. Color the last Monday yellow. Then gobackward and color each 6th squareyellow. Which dates did you color?
What pattern do you see in the yellow squares?
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E48 Extension Book Chapter 6
ExtensionLesson 7
MNENL07AWK2X_EX_C06_042-048_V9.indd E48MNENL07AWK2X_EX_C06_042-048_V9.indd E48 1/22/07 12:15:28 PM1/22/07 12:15:28 PM
Exploring One Half Divide a square in half in 9 different ways.
1. 2. 3.
4. 5. 6.
7. 8. 9.
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Chapter 7 Extension Book E49
ExtensionLesson 1
MNENL07AWK2X_EX_C07_49-57_V5.indd E49MNENL07AWK2X_EX_C07_49-57_V5.indd E49 12/13/06 12:48:02 PM12/13/06 12:48:02 PM
Solving EquationsWhat is missing? Write the same number in the same shapes.
1. 2.
3. 4.
5. 6.
7. 8.
9. © E
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E50 Extension Book Chapter 7
ExtensionLesson 2
MNENL07AWK2X_EX_C07_49-57_V5.indd E50MNENL07AWK2X_EX_C07_49-57_V5.indd E50 12/13/06 12:48:14 PM12/13/06 12:48:14 PM
Doubling and Halving NumbersMatt has 46 crayons.
Alex has double the number of Peyton’s crayons.
Eric has half as many crayons as Peyton.
Tammy has twice as many crayons as Alex.
Peyton has 10 crayons less than Matt.
How many crayons does each person have?
1. Max has crayons.
2. Alex has crayons.
3. Eric has crayons.
4. Peyton has crayons.
5. Tammy has crayons.
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Chapter 7 Extension Book E51
ExtensionLesson 3
MNENL07AWK2X_EX_C07_49-57_V5.indd E51MNENL07AWK2X_EX_C07_49-57_V5.indd E51 12/13/06 12:48:25 PM12/13/06 12:48:25 PM
Doubling SquaresHow many are inside each figure?
Draw a figure with double the number of .
1.
�
�
2.
�
�
3.
�
�
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E52 Extension Book Chapter 7
ExtensionLesson 4
MNENL07AWK2X_EX_C07_049-057_V7.indd E52MNENL07AWK2X_EX_C07_049-057_V7.indd E52 1/18/07 11:03:21 AM1/18/07 11:03:21 AM
Doubling SidesDraw new figures. Make the sides twice as long as the sides in the gray figures.
1. 2.
3.
1.
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Chapter 7 Extension Book E53
ExtensionLesson 5
MNENL07AWK2X_EX_C07_49-57_V5.indd E53MNENL07AWK2X_EX_C07_49-57_V5.indd E53 12/13/06 12:48:44 PM12/13/06 12:48:44 PM
Thirds and Fourths 1. Color to show about 1 _ 3 of a cup. 2. Color to show about
1 _ 3 of an inch.
3. Color to show about 1 _ 3 of a pie. 4. Color to show about 1 _ 4 of a ribbon.
5. Color to show 1 _ 4 of an inch. 6. Color to show 1 _ 4 of a sandwich.
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E54 Extension Book Chapter 7
ExtensionLesson 6
MNENL07AWK2X_EX_C07_49-57_V5.indd E54MNENL07AWK2X_EX_C07_49-57_V5.indd E54 12/15/06 2:09:29 PM12/15/06 2:09:29 PM
Fair SharesDraw a picture to solve each problem.
1. Miss Green cuts a pie into 8 equal
pieces. How many pieces are
there in 1 _ 4 of the pie?
pieces
2. Louis has 6 cookies. He wants to share the cookies equally with Mark. How many cookies should each child get?
cookies
3. Jorge has 10 nickels. If he spends 25¢, what fraction of his money has he spent?
of his money
4. There are 12 children at the park. One child is wearing glasses. The rest are not. What fraction of the children is NOT wearing glasses?
of the children
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Chapter 7 Extension Book E55
ExtensionLesson 7
MNENL07AWK2X_EX_C07_49-57_V5.indd E55MNENL07AWK2X_EX_C07_49-57_V5.indd E55 12/13/06 12:49:07 PM12/13/06 12:49:07 PM
Exploring Equivalent Fractions
Write fractions to make each sentence true. Use the picture to help you.
1.
6 whites � 3 reds, so
6 _ 12
�
.
2.
3 reds � 2 greens, so � .
3.
2 greens � 1 dark green, so �
4.
So � � � 1 _ 2 .
.
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E56 Extension Book Chapter 7
ExtensionLesson 8
MNENL07AWK2X_EX_C07_49-57_V5.indd E56MNENL07AWK2X_EX_C07_49-57_V5.indd E56 12/13/06 12:49:16 PM12/13/06 12:49:16 PM
Fraction of a NumberWrite the missing numbers. Color squares to help you.
1.
1 _ 2 of 8 �
2.
1 _ 3 of 12 �
3.
1 _ 4 of 8 �
4.
1 _ 3 of 9 =
5.
3 _ 4 of 16 �
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Chapter 7 Extension Book E57
ExtensionLesson 9
MNENL07AWK2X_EX_C07_49-57_V5.indd E57MNENL07AWK2X_EX_C07_49-57_V5.indd E57 12/13/06 12:49:27 PM12/13/06 12:49:27 PM
Adding with Cuisenaire® RodsModel each picture using Cuisenaire® Rods. Then record the addition.
1. 2.
W + R + W = P
3. 4.
5. 6.
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E58 Extension Book Chapter 8
ExtensionLesson 1
MNENL07AWK2X_EX_C08_E58-E68_V8.indd E58MNENL07AWK2X_EX_C08_E58-E68_V8.indd E58 12/19/06 10:59:20 AM12/19/06 10:59:20 AM
Exploring Fact FamiliesComplete each fact family.
1. If J � Q � A, then
Q � � A � J � Q A � � J
2.
If , then
3.
If , then
4.
If , then
5.
If , then
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Chapter 8 Extension Book E59
ExtensionLesson 2
MNENL07AWK2X_EX_C08_058-068_V9.indd E59MNENL07AWK2X_EX_C08_058-068_V9.indd E59 1/22/07 9:11:03 AM1/22/07 9:11:03 AM
Connecting Addition and Subtraction 1. Circle any number sentence and write a story that
matches it.
28 � � 56
94 � � 47
86 � 43 �
� 37 � 74
2. Solve the number sentence you picked. Use words, numbers or pictures to explain how you solved it.
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E60 Extension Book Chapter 8
ExtensionLesson 3
MNENL07AWK2X_EX_C08_058-068_V9.indd E60MNENL07AWK2X_EX_C08_058-068_V9.indd E60 1/23/07 2:25:35 PM1/23/07 2:25:35 PM
Adding and Subtracting Using 5 and 10Anita has a jar of dimes and nickels. She takes out 9 coins from the jar.
1. Complete the table. Show every possible coin combination that Anita could get. Find the total value for each one.
Dimes Nickels Total Value
¢
¢
¢
¢
¢
¢
¢
¢
¢
¢
2. What patterns do you see in the table?
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Chapter 8 Extension Book E61
ExtensionLesson 4
MNENL07AWK2X_EX_C08_E58-E68_V8.indd E61MNENL07AWK2X_EX_C08_E58-E68_V8.indd E61 12/19/06 10:59:54 AM12/19/06 10:59:54 AM
Adding and Subtracting Numbers Near 10What is missing? Write the missing numbers and the rule.
1.
15 22 31 30 21 91
4 11 20 19 0
m
2.
9 19 12 39 89
21 31 24 41 12
b
3.
8 12 15 30 9 41
16 24 30 100
h
4.
2 10 11 0 5
5 21 23 13 17
a
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E62 Extension Book Chapter 8
ExtensionLesson 5
MNENL07AWK2X_EX_C08_058-068_V9.indd E62MNENL07AWK2X_EX_C08_058-068_V9.indd E62 1/22/07 10:37:48 AM1/22/07 10:37:48 AM
Place Value and Cross Number PuzzlesFill in each puzzle to make it true.
1. 2.
3. 4.
5. 6.
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Chapter 8 Extension Book E63
ExtensionLesson 6
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Breaking Numbers ApartBreak the numbers in different ways so they are easier to add.
1.
2.
3. Make up your own problem.
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E64 Extension Book Chapter 8
ExtensionLesson 7
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Add and Subtract Write the missing numbers.
1. 49 � 24 � 24 �
2. 68 � 37 � � 68
3. 73 � 48 � 47 �
4. 99 � � 51 � 100
5. � 62 � 61 � 73
6. 236 � � 138 � 237
7. 139 � 37 � 36 �
8. � 54 � 53 � 267
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Chapter 8 Extension Book E65
ExtensionLesson 8
MNENL07AWK2X_EX_C08_E58-E68_V8.indd E65MNENL07AWK2X_EX_C08_E58-E68_V8.indd E65 12/19/06 11:00:34 AM12/19/06 11:00:34 AM
Comparing Collections of CoinsWrite �, �, or � in the box.
1.
2.
3.
4.
5.
6.
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E66 Extension Book Chapter 8
ExtensionLesson 9
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Creating and Solving Story ProblemsFor the school bake sale, there are 22 apple pies, 18 cherry pies, 88 oatmeal cookies, and 36 chocolate cakes.
1. Write two or more questions that would have 4 as an answer.
2. Show how you would solve one of your problems.
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Chapter 8 Extension Book E67
ExtensionLesson 10
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Strategies for Multiple-Choice QuestionsFill in the bubble for each correct answer.
1. There were 26 fish next to a rock. 13 fish swam away. Then 7 more fish swam away. How many fish were still at the rock?
6 fish 19 fish
13 fish 20 fish
3. Bonnie read for half an hour on Saturday. She read for twice as long on Sunday. For how many minutes did she read on those two days?
3 minutes 60 minutes
30 minutes 90 minutes
5. The chorus practices for 25 minutes on Mondays, Tuesdays, Thursdays, and Fridays. How many minutes do they practice each week?
4 minutes 100 minutes
25 minutes 125 minutes
2. Lou had 3 dimes and a nickel. Sean had 2 quarters. They combined their money to buy a 75¢ card. How much money did they have left over?
0¢ 75¢
10¢ 85¢
4. A zoo was home to 37 birds. Then 22 more birds came to live there, and 15 birds were sent to another zoo. How many birds are at the zoo now?
4 birds 32 birds
15 birds 44 birds
6. There are 12 children at a party. Each child has two balloons. How many balloons do the children have in all?
14 balloons
24 balloons
32 balloons
34 balloons
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E68 Extension Book Chapter 8
ExtensionLesson 11
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Sorting Polygons by AttributesWrite a rule for the shape sorter. Then drawshapes on each side of the sorter to fit the rule.
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Chapter 9 Extension Book E69
ExtensionLesson 1
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Finding Different PolygonsThere are 12 polygons that can be made using 5 squares. Can you find all 12? Draw as many as you can.
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E70 Extension Book Chapter 9
ExtensionLesson 2
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Building with TrianglesDraw two more big triangles. The lines of your triangles must go along the lines of the grid. How many grid triangles are inside your big triangles?
4
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Chapter 9 Extension Book E71
ExtensionLesson 3
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Looking at ReflectionsDraw the reflections. Work across and down within each grid. Put the mirror on the thick line each time.
1. 2.
3.
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E72 Extension Book Chapter 9
ExtensionLesson 4
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Lines of SymmetryFollow the directions to draw each figure.
1. a polygon with exactly 2. a polygon with no lines1 line of symmetry of symmetry
3. a polygon with exactly 4. a polygon with exactly2 lines of symmetry 4 lines of symmetry
Draw your own figure. Write how many lines of symmetry it has.
5.
lines of symmetry 6.
lines of symmetry
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Chapter 9 Extension Book E73
ExtensionLesson 5
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Cutting Polygons ApartMatch the figures made from the same pieces.
6. Which figure is not made of polygons? Explain.
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E74 Extension Book Chapter 9
ExtensionLesson 6
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Measuring AreaThis figure is worth 5¢.
Draw a figure worth each amount.
1. 2.
10¢ 25¢
3. 4.
15¢ 20¢
5. 6.
30¢ 45¢
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Chapter 9 Extension Book E75
ExtensionLesson 7
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Recording Paths
Where did you start?
1. You walk E E and you are at theelephants. Where did you start?
2. You walk W W W W and you areat the lions. Where did you start?
3. You walk N N N W W W and you areat the bears. Where did you start?
4. You walk W W W W S and you areat the food. Where did you start?
5. You are at the entrance to the zoo.What path would you take to seethe monkeys and the elephants?
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E76 Extension Book Chapter 9
ExtensionLesson 8
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Directions from Here to ThereUse the clues to mark each child’s house on the map.
1. Dina’s house 2. David’s house
Dina’s house is 5 blocks east of Opal’s house. It is 3 blocks south of Cory’s house.
David’s house is 4 blocks northof Opal’s house. It is 9 blocksaway from Dina’s house.
3. Ian’s house 4. Jim’s house
Ian’s house is the same number of blocks from Opal’s, Cory’s, and David’s houses.
Jim’s house is the farthest fromCory’s house on the map.
5. Robin’s house 6. Pat’s house
Robin’s house is directly eastof Cory’s house. She lives 3 blocks from Pat’s house.
Pat’s house is 4 blocks awayfrom Cory’s house. It is northand east of Dina’s house.
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Chapter 9 Extension Book E77
ExtensionLesson 9
MNENL07AWK2X_EX_C09_69-77_V5.indd E77MNENL07AWK2X_EX_C09_69-77_V5.indd E77 12/18/06 3:24:36 PM12/18/06 3:24:36 PM
Making Sums of 100What number is missing?
1. 20 � 30 � � 100
2. 25 � 25 � 25 � � 100
3. 75 � 30 � � 100
4. 46 � 17 � � 100
5. 23 � 24 � � 100
6. 99 � � 21 � 100
7. 50 � 68 � � 100
8. � 53 � 100
9. Write a problem that equals 100.
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E78 Extension Book Chapter 10
ExtensionLesson 1
MNENL07AWK2X_EX_C10_78-89_V8.indd E78MNENL07AWK2X_EX_C10_78-89_V8.indd E78 12/20/06 10:46:14 AM12/20/06 10:46:14 AM
Adding with CoinsWhat is the largest amount you can make that is less than $1.00? What is the smallest amount using the fewest coins for each?
1. Use 4 coins.
Largest Amount
Smallest Amount
¢ ¢
2. Use 5 coins.
Largest Amount
Smallest Amount
¢ ¢
3. Use 6 coins.
Largest Amount
Smallest Amount
¢ ¢
4. How did you find the answer for the largest amount in Problem 3? Use words, numbers, or pictures.
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Chapter 10 Extension Book E79
ExtensionLesson 2
MNENL07AWK2X_EX_C10_078-089_V9.indd E79MNENL07AWK2X_EX_C10_078-089_V9.indd E79 1/17/07 9:30:05 AM1/17/07 9:30:05 AM
Patterns in MoneyWhat is missing from each price list? Complete the tables.
1. Price List for Apples
Number of Apples 1 2 4 6
Total Cost 15¢ 45¢
2. Price List for Bananas
Number of Bananas 1 2 4 6
Total Cost 25¢ 75¢
Use the patterns to solve each problem.
3. Carmine has $1.63. He wants to spend all of his money on apples and bananas. Is this possible? Explain.
4. For every 2 apples Carmine buys, his mother applesbuys 1 banana. Carmine spends 90¢ on apples.
How many apples and bananas did they buy? bananas
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E80 Extension Book Chapter 10
ExtensionLesson 3
MNENL07AWK2X_EX_C10_78-89_V8.indd E80MNENL07AWK2X_EX_C10_78-89_V8.indd E80 12/20/06 10:46:35 AM12/20/06 10:46:35 AM
Place Value in MoneyWhat is missing?
1. 2. 3. 4.
5. 6. 7. 8.
9. 10. 11. 12.
13. 14. 15. 16.
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Chapter 10 Extension Book E81
ExtensionLesson 4
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Computing with MoneyAnna went to the toy store with a $10.00 bill. She saw this sign.
1. What if she buys the magnets and a dog?
It would cost .
She would get in change.
2. What if she buys the magnets and the clay?
It would cost .
She would get in change.
3. What if she buys a stuffed dog and the clay?
It would cost .
She would get in change.
4. What if she buys as many sets of magnets as she can?
She could buy sets. It would cost .
She would get in change.
5. What if she buys as many packs of clay as she can?
She could buy packs. It would cost .
She would get in change.
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E82 Extension Book Chapter 10
ExtensionLesson 5
MNENL07AWK2X_EX_C10_78-89_V8.indd E82MNENL07AWK2X_EX_C10_78-89_V8.indd E82 12/20/06 10:46:51 AM12/20/06 10:46:51 AM
Adding Three-Digit NumbersWhat is missing?
1. 2.
3. 4.
5. 6.
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Chapter 10 Extension Book E83
ExtensionLesson 6
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Subtracting Three-Digit NumbersWhat is missing?
1. 2.
3. 4.
5. 6. ©
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E84 Extension Book Chapter 10
ExtensionLesson 7
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Completing PuzzlesWrite the digits 1 to 5 once in eachproblem so it makes sense.
1. 2.
3. 4.
5. How did you find the answer to Problem 4?Use words, numbers, or pictures to explain.
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Chapter 10 Extension Book E85
ExtensionLesson 8
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Add and Subtract Numbers Near HundredsAdd or subtract in your head. Show your thinking for each problem.
1. 399 � 262 � 661 262 + 400 – 1662 – 1661
2. 804 � 123 �
3. 197 � 502 �
4. 226 � 998 �
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E86 Extension Book Chapter 10
ExtensionLesson 9
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Adding Three NumbersWhat is missing?
1. 164 � 24 � 201 � 2. 339 � 125 � 511 �
3. 222 � 222 � 46 �
4. 99 � 704 � 37 �
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Chapter 10 Extension Book E87
ExtensionLesson 10
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Subtracting to Find Missing AddendsWhat is each missing addend? Subtract to solve.
1. 194
�
306
2. 623
�
876
3. 541
�
850
4. 68
�
493
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E88 Extension Book Chapter 10
ExtensionLesson 11
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Practice Adding and SubtractingAdd or subtract to solve. Circle the correct answer.
1. I am a number between 300 and 400. If you add me to 127, the sum is bigger than 448. Which number am I?
2. I am an odd number. If you subtract me from 860, the difference is a number with a 1 in the hundreds place and a 9 in the ones place. Which number am I?
3. I am a number between 230 and 240. If you double me, the sum will have the same digit in the ones and tens places. What number am I?
4. I am a two-digit number. I am bigger than the sum of 41 and 52 but smaller than the difference between 146 and 50. Which number am I?
5. I am an even number. If you subtract me from 400, the difference is less than I am. What number am I?
301
317
322
721
767
780
230
231
233
90
93
95
116
200
316
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Chapter 10 Extension Book E89
ExtensionLesson 12
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Looking for Patterns in JumpsMake jumps of 9. Write the sum of the digits for each landing number.
Jumps of 9
Number of Jumps
Landing Number Sum of the Digits
1. 1 9 9 � 0 � 9
2. 2 18 1 � 8 � 9
3. 3 � �
4. 4 � �
5. 5 � �
6. 6 � �
7. 7 � �
8. 8 � �
9. 9 � �
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E90 Extension Book Chapter 11
ExtensionLesson 1
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Combining Equivalent SetsSolve each problem. Use words, numbers, or pictures to explain.
1. Logan has 4 stacks of baseball cards with 5 cards in each stack. Keith has 6 stacks of cards with 3 in each stack. Who has more cards?
2. Cara has 3 bags with 5 grapes in each bag. Jason has 4 bags with 4 grapes in each bag.Who has fewer grapes?
3. Niki reads 3 books with 4 chapters in each book. Liz reads 2 books with 5 chapters in each book. Who read more chapters?
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Chapter 11 Extension Book E91
ExtensionLesson 2
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Making All Possible ArraysBuild all the possible arrays with a given number of tiles.
1. Possible Arrays for 15 Tiles
Rows Columns
15 1
1 15
2. Possible Arrays for 17 Tiles
Rows Columns
3. Possible Arrays for 16 Tiles
Rows Columns
4. Possible Arrays for 18 Tiles
Rows Columns
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E92 Extension Book Chapter 11
ExtensionLesson 3
MNENL07AWK2X_EX_C11_090-098_V10.indd E92MNENL07AWK2X_EX_C11_090-098_V10.indd E92 1/25/07 12:39:29 PM1/25/07 12:39:29 PM
Adding Equivalent SetsDraw a line to match each array with its addition sentence. Then write another addition sentence for the array.
1.
5 � 5 � 5 � 15
2.
4 � 4 � 4 � 12
3.
5 � 5 � 5 � 5 � 5 � 5 � 30
4.
4 � 4 � 4 � 4 � 4 � 4 � 24
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Chapter 11 Extension Book E93
ExtensionLesson 4
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Working with Rectangular ArraysSolve each multiplication sentence. Use the code to answer the riddle.
Code
A E L M N O R W
12 15 25 10 20 4 9 24
What do you call a cowthat eats grass?
1. 3 � 4 �
A
2. 3. 4. 5.
5 � 5 �
2 � 6 �
6 � 4 �
5 � 4 �
6. 7. 8. 9.
5 � 2 �
4 � 1 �
5 � 3 �
3 � 3 �
1 � 4 �
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E94 Extension Book Chapter 11
ExtensionLesson 5
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Building MultiplesMake a table to find each answer.
1. There are 30 days in some months.How many days are in those 4 months?
days
2. There are 11 peas in a pod. How many peas are in 9 pods?
peas
3. There are 7 bows on a kite. How many bows are on 5 kites?
bows
4. There are 12 players on a kickball team.How many players are on 4 teams?
players
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Chapter 11 Extension Book E95
ExtensionLesson 6
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Dividing Amounts of TimeKyle is always twice as fast as Kate. Solve each problem about Kyle and Kate.
1. Kate takes 14 minutes to get dressed. How long does it take Kyle to get dressed?
minutes
2. Kate reads a book in 30 minutes. How long does it take Kyle to read the same book?
minutes
3. Kyle rides his bike from the store to the library in 25 minutes. How long does it take Kate to ride her bike on the same path?
minutes
4. Kate makes a card in 18 minutes. How long does it take Kyle to make a card?
minutes
5. Kate washes the car in a half hour. How long does it take Kyle to wash the car?
minutes
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E96 Extension Book Chapter 11
ExtensionLesson 7
MNENL07AWK2X_EX_C11_090-098_V9.indd E96MNENL07AWK2X_EX_C11_090-098_V9.indd E96 12/21/06 6:05:42 PM12/21/06 6:05:42 PM
Sharing Among Three ChildrenCan the number be divided into 3 equivalent sets? Color the section red if the answer is yes. Color it blue if the answer is no.
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Chapter 11 Extension Book E97
ExtensionLesson 8
MNENL07AWK2X_EX_C11_090-098_V9.indd E97MNENL07AWK2X_EX_C11_090-098_V9.indd E97 12/21/06 6:05:50 PM12/21/06 6:05:50 PM
Fractions and DivisionI Have One Half One Third
12 hours 6 hours 4 hours
60 minutes 30 minutes minutes
120 pages pages pages
18 inches inches inches
2 dozen eggs eggs eggs
$3.00 in quarters $ . $ .
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E98 Extension Book Chapter 11
ExtensionLesson 9
MNENL07AWK2X_EX_C11_090-098_V10.indd E98MNENL07AWK2X_EX_C11_090-098_V10.indd E98 1/25/07 12:39:43 PM1/25/07 12:39:43 PM
Measuring Length with Nonstandard Units 1. One orange rod is as long as
2 yellow rods. How many yellow rods are as long as 2 orange rods?
yellow rods
2. One paper clip is as long as 4 connecting cubes. How manycubes are as long as 3 paper clips?
cubes
3. One pencil is as long as 5 paperclips. How many paper clipsare as long as 10 pencils?
paper clips
4. One eraser is as long as 4 beads.How many beads are as long as 6 erasers?
beads
5. Kai’s watch is 1 1 _ 2 pencils long.
One pencil is as long as
5 paper clips. How many paper
clips are as long as Kai’s watch?
paper clips
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Chapter 12 Extension Book E99
ExtensionLesson 1
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Measuring to the Nearest InchComplete the table. Estimate. Then use a ruler to measure each line to the nearest inch.
Line Estimate Measure
A about inches about inches
B about inches about inches
C about inches about inch
D about inches about inches
E about inches about inches
F about inches about inches
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E100 Extension Book Chapter 12
ExtensionLesson 2
MNENL07AWK2X_EX_C12_099-105_V6.indd E100MNENL07AWK2X_EX_C12_099-105_V6.indd E100 1/26/07 9:00:01 AM1/26/07 9:00:01 AM
Most Reasonable EstimatesWhich is the most reasonable estimate? Circle it.
1. Tyra plants a rose bush. About how tall is the bush?
about 2 feet
about 20 feet
about 50 feet
2. Chris has a new puppy. About how long is the new puppy?
about 8 inches
about 80 inches
about 8 feet
3. Jake’s mother buys a new sofa. About how long is it?
about 6 inches
about 6 feet
about 6 yards
4. Beth measures the length of her bracelet. About how long is it?
about 7 inches
about 7 feet
about 7 yards
5. Anna’s baby sister is 4 years old. About how tall is Anna’s sister?
about 3 inches
about 3 feet
about 3 yards
6. Alex measures the length of the front of his house. About how long is it?
about 2 yards
about 1 yard
about 15 yards
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Chapter 12 Extension Book E101
ExtensionLesson 3
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Relating Inches, Feet, and YardsComplete the tables.Use a calculator to help you.
1. Number of Feet 5 6 7 8 9 10 11
Number of Inches 60 72 84
2. Number of Yards 6 7 8 9 10 11 12
Number of Feet 18 21 24
3. Number of Feet 12 13 14 15 16 17 18
Number of Inches 144 156 168
4. Number of Yards 1 2 3 4 5 6 7
Number of Inches 36 72 108
5. Number of Feet 5 10 15 20 25 30 35
Number of Inches 60 120 180
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E102 Extension Book Chapter 12
ExtensionLesson 4
MNENL07AWK2X_EX_C12_099-105_V6.indd E102MNENL07AWK2X_EX_C12_099-105_V6.indd E102 1/26/07 9:00:38 AM1/26/07 9:00:38 AM
Using Fractions to Measure Length 1. Peter connected 4 toy train cars. Each train car
is 1 1 _ 2 inches long. How long is the train of cars? inches
2. How many cars are in a train
that is 12 inches long? Each
train car is 1 1 _ 2 inches long.
cars
4. Jon connected 5 train cars.
Each car is 2 1 _ 2 inches long.
How long is the train?
inches
6. A red train has 4 cars that are
each 2 inches long. A blue train
has 6 cars that are each 1 1 _ 2
inches long. Which color train is
longer?
3. How many cars are in a train
that is 2 feet long? Each train
car is 1 1 _ 2 inches long.
cars
5. Lin connected 2 cars that are
each 2 1 _ 2 inches long and 2 cars
that are each 1 1 _ 2 inches long.
How long is her train?
inches
7. Jay and Mike made trains with
cars that are each 1 1 _ 2 inches
long. Jay’s train has 15 cars.
Mike’s train is 2 feet long. Who
has the longer train?
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Chapter 12 Extension Book E103
ExtensionLesson 5
MNENL07AWK2X_EX_C12_099-105_V6.indd E103MNENL07AWK2X_EX_C12_099-105_V6.indd E103 1/26/07 9:00:58 AM1/26/07 9:00:58 AM
1. Angie places 3 dominoes in a line. The line is 15 centimeters long. What is the length of each domino?
centimeters
2. How many dominoes are in aline that is 30 centimeters long?
dominoes
3. What is the length of a line of 8 dominoes?
centimeters
Brian and Jan have dominoes that are a different length than Angie’s dominoes.
4. Jan places 5 dominoes in a line. The line is 30 centimeters long. What is the length of each domino?
centimeters
5. How many dominoes are in aline that is 18 centimeter long?
dominoes
6. What is the length of a line of 8 dominoes?
centimeters
Measuring to the Nearest CentimeterAngie has a set of dominoes. All of the dominoes are the same length.
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E104 Extension Book Chapter 12
ExtensionLesson 6
MNENL07AWK2X_EX_C12_099-105_V6.indd E104MNENL07AWK2X_EX_C12_099-105_V6.indd E104 1/26/07 9:01:23 AM1/26/07 9:01:23 AM
Measuring in Centimeters and MetersChoose a word from the box to complete each sentence. Write the word in the puzzle.
Across
1. One is shorter than one inch.
2. A is used to measure longer lengths.
3. Centimeters and meters are metric of length.
Down
4. The length of a paper clip is a benchmark for an .
5. When you do not need an exact answer, you can .
6. A baseball is about 1 yard long.
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Chapter 12 Extension Book E105
ExtensionLesson 7
MNENL07AWK2X_EX_C12_099-105_V5.indd E105MNENL07AWK2X_EX_C12_099-105_V5.indd E105 12/29/06 5:45:05 PM12/29/06 5:45:05 PM
Counting CombinationsHow many two-digit numbers can you make? List all of the numbers. Write a multiplication sentence to solve the problem.
1. Use 1 or 2 for the tens digit. 13Use 3, 4, 5, or 6 for the ones digit.
� �
I can make two-digit numbers.
2. Use 2, 3, or 4 for the tens digit. Use 0, 1, 2, or 3 for the ones digit.
� �
I can make two-digit numbers.
3. Use 2 or 3 for the tens and for the ones digit.
� �
I can make two-digit numbers.
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E106 Extension Book Chapter 13
MNENL07AWK2X_EX_C13_106-112_V5.indd E106MNENL07AWK2X_EX_C13_106-112_V5.indd E106 12/26/06 8:26:37 AM12/26/06 8:26:37 AM
Counting IntersectionsWrite a multiplication sentence to match each picture. Then write a word problem.
1. � �
2. � �
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Chapter 13 Extension Book E107
ExtensionLesson 2
MNENL07AWK2X_EX_C13_106-112_V5.indd E107MNENL07AWK2X_EX_C13_106-112_V5.indd E107 12/26/06 8:26:48 AM12/26/06 8:26:48 AM
Finding Missing NumbersComplete the table.Draw the matching lines below.
Problem 1. 2. 3. 4. 5. 6. 7. 8. 9.
4 0 3 4 4 4
4 2 5 3 3 1 6
16 14 18 15 7 8
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E108 Extension Book Chapter 13
ExtensionLesson 3
MNENL07AWK2X_EX_C13_106-112_V5.indd E108MNENL07AWK2X_EX_C13_106-112_V5.indd E108 12/26/06 8:27:06 AM12/26/06 8:27:06 AM
Finding One HalfHow much is half?
1. 2. 3.
One half of 8 One half of 16 One half of 10
is . is . is .
4. 5. 6.
One half of 6 One half of 20 One half of 4
is . is . is .
7. How can you find half of 12? Use words, numbers, or pictures to explain.
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Chapter 13 Extension Book E109
ExtensionLesson 4
MNENL07AWK2X_EX_C13_106-112_V5.indd E109MNENL07AWK2X_EX_C13_106-112_V5.indd E109 12/26/06 8:27:14 AM12/26/06 8:27:14 AM
Order of Operations
First solve the part of
each problem in the ( ).
Solve each problem.
1. 2.
(5 � 3) � 2 � (2 � 1) � 4 �
3. 4.
(4 � 4) � 7 � (4 � 5) � 7 �
5. 6.
20 � (6 � 2) � 25 � (1 � 4) �
7. 8.
(9 � 6) � (4 � 3) � (2 � 5) � (6 � 3) �
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E110 Extension Book Chapter 13
ExtensionLesson 5
MNENL07AWK2X_EX_C13_106-112_V5.indd E110MNENL07AWK2X_EX_C13_106-112_V5.indd E110 12/26/06 8:29:31 AM12/26/06 8:29:31 AM
Breaking Numbers ApartHow many intersections are there?Write the missing numbers.
1. 2.
4 � 11 � 44 3 � 12 �
(4 � 10) � (4 � 1) (3 � 10) � (3 � 2)
40
� 4
� 44
�
�
3. 4.
2 � 15 � 7 � 12 �
(2 � 10) � (2 � 5) (7 � 10) � (7 � 2)
�
�
�
�
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Chapter 13 Extension Book E111
ExtensionLesson 6
MNENL07AWK2X_EX_C13_106-112_V5.indd E111MNENL07AWK2X_EX_C13_106-112_V5.indd E111 12/26/06 8:29:07 AM12/26/06 8:29:07 AM
Working with MoneyKi spends exactly 50¢. How many
Erasers ...............................3¢ each
Pencils ................................. 4¢ each
Pens ....................................... 5¢ each
Notepads ....................... 10¢ each
Folders ............................. 11¢ each
Rulers .................................12¢ each
Box of Crayons .........15¢ each
Scissors .......................... 25¢ each
Set of Paints ................ 28¢ each
of each item can she buy?
1. notepads
2. scissors
3. pens
4. scissor and pens
5. Ki decides to buy a set of paints and a ruler. She still wants to spend exactly 50¢. What else can she buy?
6. Ki wants to buy more than 5 items altogether. Show two ways for Ki to spend exactly 50¢.
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E112 Extension Book Chapter 13
ExtensionLesson 7
MNENL07AWK2X_EX_C13_106-112_V5.indd E112MNENL07AWK2X_EX_C13_106-112_V5.indd E112 12/26/06 8:29:22 AM12/26/06 8:29:22 AM
Two- and Three-Dimensional FiguresChoose one of the figures to answer the riddle.
1. I am the shape of a baseball and a basketball, but not a football. What figure am I?
2. From the top, I look like this .
From the side, I look like this .What figure am I?
3. I am made with 4 triangles and 1 square. What figure am I?
4. If you break me apart, you get 6 squares that are all the same size. What figure am I?
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Chapter 14 Extension Book E113
ExtensionLesson 1
MNENL07AWK2X_EX_C14_113-117_V3.indd E113MNENL07AWK2X_EX_C14_113-117_V3.indd E113 1/2/07 5:20:48 PM1/2/07 5:20:48 PM
FacesDraw the missing faces for each figure.
1. square pyramid
2. rectangular prism
3. triangular pyramid
4. triangular prism
5. cube
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E114 Extension Book Chapter 14
ExtensionLesson 2
MNENL07AWK2X_EX_C14_113-117_V3.indd E114MNENL07AWK2X_EX_C14_113-117_V3.indd E114 1/2/07 5:20:58 PM1/2/07 5:20:58 PM
EdgesHow many of these figures match the sentence?
cube triangular pyramid sphere
triangular prism rectangular prism square pyramid
1. Three-dimensional figures with at least 1 square face. 2
2. Three-dimensional figures with at least 1 triangle face.
3. Three-dimensional figures with no faces.
4. Three-dimensional figures with 12 edges.
5. Three-dimensional figures with 6 edges.
6. Three-dimensional figures with 9 edges.
7. Three-dimensional figures with no edges.
8. Three-dimensional figures with an even number of edges.
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Chapter 14 Extension Book E115
ExtensionLesson 3
MNENL07AWK2X_EX_C14_113-117_V3.indd E115MNENL07AWK2X_EX_C14_113-117_V3.indd E115 1/2/07 5:21:04 PM1/2/07 5:21:04 PM
VerticesHow are the two figures alike?
1.
2.
3.
4.
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E116 Extension Book Chapter 14
ExtensionLesson 4
MNENL07AWK2X_EX_C14_113-117_V3.indd E116MNENL07AWK2X_EX_C14_113-117_V3.indd E116 1/2/07 5:21:11 PM1/2/07 5:21:11 PM
Cylinders and ConesSolve each problem.
1. Ken makes these footprints from the same figure. What figure is it?
2. Bea makes these footprints from two facesof the same figure. What figure is it?
3. Kristin makes these footprints from the same figure. What figure is it?
4. Suri makes these footprints from two faces of the same figure. What figure is it?
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Chapter 14 Extension Book E117
ExtensionLesson 5
MNENL07AWK2X_EX_C14_113-117_V3.indd E117MNENL07AWK2X_EX_C14_113-117_V3.indd E117 1/2/07 5:21:18 PM1/2/07 5:21:18 PM
Comparing and Ordering CapacityUse the clues to label the graph.
• Brad’s bowl holds more than Anne’s bowl.
• Lisa’s bowl holds the most.
• Jim’s bowl holds 5 cups.
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E118 Extension Book Chapter 15
ExtensionLesson 1
MNENL07AWK2X_EX_C15_118-124_V3.indd E118MNENL07AWK2X_EX_C15_118-124_V3.indd E118 1/2/07 6:14:24 PM1/2/07 6:14:24 PM
Measuring in Cups, Pints, Quarts, and Gallons
1. There are 3 little lambs and 2 big lambs drinking milk. How many cups o
