Math Grade 4
Published by Spectrum ® an imprint of Carson-Dellosa Publishing Greensboro, NC
Spectrum ® An imprint of Carson-Dellosa Publishing Publishing LLC P.O. Box 35665 Greensboro, NC 27425 USA © 2015 Carson-Dellosa Publishing Publishing LLC. Except as permitted under the United States Copyright Copyright Act, no part of this publication may be reproduced, stored, or distributed in any form or by any means (mechanically, electronically, recording, etc.) without the prior written consent of Carson-Dellosa Publishing LLC. Spectrum ® is an imprint of Carson-Dellosa Publishing LLC. Printed in the USA • All rights reserved. 01-227147811
ISBN 978-1-4838978-1-4838-0872-7 0872-7
Table of Contents Grade 4 Chapter 1 Adding and Subtracting 1 and 2 Digits Chapter 1 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5 Lessons 1–9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7–16 Chapter 1 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17
Chapter 2
Numeration through 1,000,000
Chapter 2 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .19 Lessons 1–4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21–26 Chapter 2 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .27
Chapter 3 Adding and Subtracting 3 through 5 Digits Chapter 3 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29 Lessons 1– 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31–41 Chapter 3 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42
Chapter 4
Multiplication
Chapter 4 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .44 Lessons 1– 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46–57 Chapter 4 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .58
Chapter 5
Division
Chapter 5 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .60 Lessons 1– 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62–74 Chapter 5 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .75
Chapters 1–5 Mid-Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7 . 77
3
Table of Contents, Chapter 6
continued
Fractions
Chapter 6 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 Lessons 1– 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85– 101 Chapter 6 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
Chapter 7
Measurement
Chapter 7 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 Lessons 1–17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108– 124 Chapter 7 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
Chapter 8
Geometry
Chapter 8 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 Lessons 1–5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130–134 Chapter 8 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
Chapter 9
Preparing for Algebra
Chapter 9 Pretest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 Lessons 1–2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137–138 Chapter 9 Posttest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Chapters 1–9 Final Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1 . 140 Scoring Record for Posttests, Mid-Test, and Final Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1 .14 46 Grade 4 Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147–159
4
NAME
Check What You Know
Adding and Subtracting 1 and 2 Digits Add or subtract. a
b
c
d
e
f
1.
35 � 3
25 �1 3
75 �2 4
13 �1 2
42 � 7
54 �3 3
2.
43 �2 4
54 � 5
63 �3 1
82 �1 6
32 �2 3
74 �1 5
3.
50 �3 3
95 � 2
32 �2 5
73 �2 5
56 �1 3
47 �3 2
4.
12 � 7
36 �1 2
55 �2 3
70 �1 9
92 � 4
54 �2 3
5.
45 � 4
75 �2 3
66 �1 4
95 �3 1
84 �2 2
25 �1 2
6.
49 �2 7
57 �4 6
39 �1 8
79 �2 7
27 � 6
88 �5 6
7.
65 �5 5
78 �3 3
54 �4 2
97 �2 6
29 �1 5
59 �4 8
8.
54 �2 3
29 �1 8
47 �3 7
99 �6 6
89 �2 7
36 �1 5
Spectrum Math Grade 4
Check What You Know Chapter 1 5
C H A P T E R 1 P R E T E S T
NAME T S E T E R P 1 R E T P A H C
Check What You Know
SHOW YOUR WORK
Adding and Subtracting 1 and 2 Digits Solve each problem. 9.
Mr. Dimas has 15 new students in his fourthMr. grade class. He already has 21 students in the class. How many students are in Mr. Dimas’s class? There are
9.
students in his class.
10. There are 35 pages in Kendrick’ Kendrick’ss science book.
10.
Last night, Kendrick read 14 pages. How many more pages does Kendrick have left to read? There are
pages left to read.
11. Kono’ Kono’ss father gave him 75 apples apples so he could
11.
pass them out to his friends. If Kono gave 43 away, how many apples does he have left?
There are
apples left.
12. Monica and Tania Tania want to throw a surpris surprisee
12.
party for Rosa. They plan to send out 45 invitations. If Tania writes 24, how many invitations does Monica need to write? Monica needs to write
invitations.
13. Seki’s soccer team is in the State Cup
13.
Tournament. There were 23 goals made in the entire tournament. Seki’s team made 12 of them. How many goals were made by the other teams? The other teams scored Spectrum Math Grade 4 6
goals. Check What You Know Chapter 1
NAME
Lesson 1.1 Adding 1- and 2-Digit Numbers addend addend sum If 6
�
3
6 �3 9 9, then 60
60 �3 0 90 30
Add the ones.
Add the tens.
23 �1 6 9
23 �1 6 39
23 �1 6 90.
�
�
�
a
b
c
d
e
f
1.
11 � 8
10 �3 0
25 �1 4
81 �1 8
52 �1 7
74 �2 3
2.
10 �8 0
7 �2
15 � 4
7 �9 2
71 � 6
70 �1 0
3.
7 �2 2
20 �3 0
92 � 7
83 �1 6
46 �2 3
70 �2 0
4.
2 �4 1
30 �3 0
51 �4 8
34 �2 4
7 �2 2
20 �5 0
5.
30 �1 5
21 �2 1
7 �4 2
40 �4 0
56 �4 1
62 �1 7
6.
34 �3 4
60 �1 3
9 �3 0
4 �3
13 � 6
44 �3 3
7.
3 �3 2
5 �1 0
63 �2 4
71 �2 0
41 � 8
32 �3 0
Add.
Spectrum Math Grade 4
Chapter 1, Lesson 1 Adding and Subtracting 1 and 2 Digits 7
NAME
Lesson 1.2 Subtracting 1- and 2-Digit Numbers minuend subtrahend difference If 9
�
3
9 �3 6
6, then 90
�
90 �3 0 60 30
�
Subtract the ones.
Subtract the tens.
53 �2 1 2
53 �2 1 32
53 �2 1
60.
�
Subtract. a
b
c
1.
33 �1 2
43 �2 0
91 �3 0
2.
88 �2 4
59 �3 8
3.
25 �1 5
4.
e
f
8 �3
90 �2 0
72 �1 1
43 �3 1
50 �4 0
48 �1 7
72 �6 2
94 � 4
50 �3 0
35 � 3
27 �1 0
13 �1 2
53 �4 0
14 � 3
18 �1 0
55 �4 2
9 �2
10 � 8
5.
49 �1 8
74 � 3
59 �2 7
68 � 7
93 �2 2
38 �3 7
6.
79 �3 5
21 �1 1
46 �4 2
78 �6 4
15 � 4
87 �3 5
7.
25 �1 3
71 �2 0
46 �2 3
56 �4 1
85 �6 3
99 �7 7
Spectrum Math Grade 4 8
d
Chapter 1, Lesson 2 Adding and Subtracting 1 and 2 Digits
NAME
Lesson 1.3 Adding Three or More Numbers (single digit) 2 6 �7
3 4 7 �1
8 � 7 15
7 7 �1
14 � 1 15
Add. a
b
c
d
e
f
g
h
1.
3 4 �5
2 6 �3
7 5 �3
6 3 �7
8 7 �2
9 8 �1
3 6 �8
1 7 �6
2.
4 6 �8
3 5 �2
1 5 �7
8 5 �3
4 7 �8
3 8 �9
2 6 �9
3 3 �7
3.
8 7 �5
8 3 �5
3 8 �2
2 8 �6
6 7 �8
3 6 �9
1 8 �7
5 7 �9
4.
1 3 5 �7
2 6 7 �4
1 5 9 �7
3 5 4 �6
2 2 2 �8
1 7 8 �9
4 4 5 �6
3 4 6 �8
5.
2 6 4 �8
2 2 8 �7
4 5 7 �9
3 3 4 �4
5 5 4 �3
6 3 7 �1
5 4 8 �9
1 7 1 �9
6.
9 1 7 �2
3 4 7 �8
2 5 7 �4
5 3 6 �5
8 3 9 �2
4 6 8 �3
7 3 7 �3
2 1 8 �5
Spectrum Math Grade 4
Chapter 1, Lesson 3 Adding and Subtracting 1 and 2 Digits 9
NAME
Lesson 1.4 Adding through 2 Digits (with renaming) Add the ones. 52 �2 9 2
�
9
11 or 10 � 1
�
Add the tens.
1
1
52 �2 9 1
52 �2 9 81
addend addend sum
Add. a
b
c
d
e
f
1.
36 �1 5
29 �1 8
57 �2 3
18 �1 3
74 � 6
8 �2 7
2.
88 � 3
47 �1 7
27 �4 7
55 �2 6
19 �1 5
51 �1 9
3.
65 �2 6
39 �3 9
25 �2 5
45 �4 5
36 �4 8
75 �1 6
4.
37 �2 6
14 �4 8
13 �6 8
48 �2 2
37 �1 7
72 �1 8
5.
65 �2 5
9 �4 8
7 �7 7
82 � 9
28 � 9
48 �3 2
6.
39 �2 9
28 �2 8
29 � 9
28 �5 7
19 �1 4
9 �7 2
7.
75 � 7
73 � 9
36 �3 6
78 �1 8
19 �1 9
43 �1 7
Spectrum Math Grade 4 10
Chapter 1, Lesson 4 Adding and Subtracting 1 and 2 Digits
NAME
Lesson 1.5 Adding Three or More Numbers (2 digits) addend addend addend 6
8
�
�
Add the ones.
Add the tens.
2
2
26 38 �5 6 6
�
20 20 20
20
0
�
20
�
26 38 �5 6 0
�
30
�
50
�
�
120
26 38 � 56 120 120 � 100
addend addend addend sum
20
�
Add. a
b
c
d
e
f
1.
27 32 �4 3
39 48 �7 6
48 68 �7 8
97 85 �6 3
45 74 �4 8
97 23 �1 9
2.
77 99 �3 2
81 19 �3 8
53 78 �8 9
75 69 �7 8
38 57 �7 5
92 89 �9 5
3.
37 29 �4 9
87 78 �9 5
38 49 �5 7
42 28 �6 6
56 65 �7 7
19 37 �4 9
4.
35 73 57 �6 6
73 28 40 �6 6
88 22 38 �8 2
75 24 93 �5 1
29 93 37 �5 5
21 62 45 �3 8
5.
51 71 89 �9 9
20 18 39 �4 7
17 45 83 �9 7
27 58 74 �6 3
13 39 57 �8 9
57 33 71 �6 6
6.
39 29 58 �7 8
13 25 77 �8 9
27 53 68 �7 4
27 48 31 �9 7
22 17 39 �4 5
39 49 66 �7 7
Spectrum Math Grade 4
Chapter 1, Lesson 5 Adding and Subtracting 1 and 2 Digits 11
NAME
Lesson 1.6 Subtracting 2 Digits from 3 Digits (renaming) To subtract the ones, rename 5 tens and 3 ones as “4 tens and 13 ones.” minuend subtrahend difference
153 � 37
Subtract the ones.
Subtract the tens.
Subtract the hundreds.
4 13
4 13
4 13
4 13
153 � 37
153 � 37 6
153 � 37 16
153 � 37 116
Subtract. a
b
c
d
e
f
1.
175 � 38
132 � 17
175 � 56
134 � 29
144 � 28
156 � 38
2.
182 � 73
177 � 59
123 � 18
141 � 33
173 � 54
182 � 48
3.
141 � 29
193 � 47
165 � 46
152 � 37
172 � 29
161 � 27
4.
183 68 �
127 18 �
134 19 �
172 57 �
124 17 �
153 37 �
5.
171 � 39
146 � 27
183 � 68
191 � 72
173 � 47
157 � 38
6.
128 � 19
172 � 36
156 � 29
177 � 39
152 � 19
174 � 38
7.
145 � 26
161 � 33
173 � 37
127 � 18
153 � 28
191 � 73
Spectrum Math Grade 4 12
Chapter 1, Lesson 6 Adding and Subtracting 1 and 2 Digits
NAME
Lesson 1.6 Subtracting 2 Digits from 3 Digits (renaming) Rename 515 as “5 hundreds, 0 tens, and 15 ones.” Subtract the ones. 515 � 27
Then, rename “4 hundreds, 10 tens, and 15 ones.” Subtract the tens.
Subtract the hundreds.
0 15
4 10 15
4 10 15
515 � 27 8
515 � 27 88
515 � 27 488
minuend subtrahend difference
Subtract. a
b
c
d
e
f
1.
138 � 59
162 � 79
155 � 66
128 � 59
147 � 58
174 � 85
2.
131 49 �
153 67 �
167 79 �
144 58 �
172 89 �
125 38 �
3.
114 � 37
134 � 56
181 � 92
133 � 44
127 � 49
174 � 88
4.
122 � 88
154 � 77
161 � 94
166 � 87
127 � 58
172 � 99
5.
177 � 88
123 � 45
147 � 68
181 � 95
175 � 89
141 � 83
6.
185 � 97
173 � 87
142 � 84
177 � 98
136 � 49
123 � 77
7.
127 � 58
126 � 78
166 � 89
137 � 88
153 � 84
175 � 97
Spectrum Math Grade 4
Chapter 1, Lesson 6 Adding and Subtracting 1 and 2 Digits 13
NAME
Lesson 1.7 Thinking Subtraction for Addition
These numbers should be the same.
55 �4 3 98 �4 3 55
To check 55 � 43
�
98,
subtract 43 from 98.
Add. Then, check your answer. a
1.
2.
3.
4.
b
c
d
e
f
32 �4 7
63 �1 9
38 �2 4
52 �4 7
28 �1 5
75 �1 5
�
�
�
�
�
�
48 �2 7
82 �1 0
56 �3 8
44 �2 7
28 �2 7
39 �3 2
�
�
�
�
�
�
31 �5 9
43 �1 8
61 �2 9
125 � 17
155 � 38
205 � 69
�
�
�
�
�
�
199 � 14
128 � 33
125 � 50
109 � 32
155 � 27
137 � 29
�
�
�
�
�
�
Spectrum Math Grade 4 14
Chapter 1, Lesson 7 Adding and Subtracting 1 and 2 Digits
NAME
Lesson 1.8 Thinking Addition for Subtraction
These numbers should be the same.
138 � 24 114 � 24 138
To check 138 � 24
114,
�
add 24 to 114.
Subtract. Then, check your answer. a
1.
2.
3.
4.
b
c
d
e
f
88 �4 5
23 �1 9
47 �2 8
95 �3 8
74 �2 7
98 �7 3
�
�
�
�
�
�
38 �1 7
68 �2 7
54 �3 6
49 �3 2
29 �1 0
78 �3 9
�
�
�
�
�
�
155 � 28
132 � 38
179 � 82
127 � 89
141 � 62
137 � 52
�
�
�
�
�
�
187 � 99
119 � 20
192 � 73
108 � 39
188 � 90
164 � 78
�
�
�
�
�
�
Spectrum Math Grade 4
Chapter 1, Lesson 8 Adding and Subtracting 1 and 2 Digits 15
