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Topic 3 17
© P
ears
on E
duca
tion,
Inc.
3
Daily Spiral Review
3-1
Topic 3 17
Daily Spiral Review
3-1Choose the best answer.
1. Which number below represents the place-value blocks in standard form?
A 543
B 435
C 345
D 343
2. To add 47 ! 32, Tom ! rst added 40 ! 30 " 70. Which two numbers should Tom add next?
A 4 ! 7
B 4 ! 3
C 3 ! 2
D 7 ! 2
3. What is the name of the shape below?
A Triangle
B Square
C Rectangle
D Circle
4. Massachusetts has two large islands. Martha’s Vineyard has an area of 89 square miles. Nantucket has an area of 45 square miles. What is the area of the two islands combined?
square miles
5. Order the numbers from least to greatest.
4,125 4,251 4,152 4,215
6. What is the next number in the pattern?
11, 17, 23, 29,
7. John is 9 years older than Betty. Betty is 12 years old. How old is John?
8. Which property of addition is shown below?
7 ! 6 " 6 ! 7
Name
28422_017_034.indd 17 1/17/08 9:10:01 AM
134
4,125; 4,152; 4,215; 4,251
21
Commutative Property of Addition
35
Topic 3 17
© P
ears
on E
duca
tion,
Inc.
3
Daily Spiral Review
3-1
Topic 3 17
Daily Spiral Review
3-1Choose the best answer.
1. Which number below represents the place-value blocks in standard form?
A 543
B 435
C 345
D 343
2. To add 47 ! 32, Tom ! rst added 40 ! 30 " 70. Which two numbers should Tom add next?
A 4 ! 7
B 4 ! 3
C 3 ! 2
D 7 ! 2
3. What is the name of the shape below?
A Triangle
B Square
C Rectangle
D Circle
4. Massachusetts has two large islands. Martha’s Vineyard has an area of 89 square miles. Nantucket has an area of 45 square miles. What is the area of the two islands combined?
square miles
5. Order the numbers from least to greatest.
4,125 4,251 4,152 4,215
6. What is the next number in the pattern?
11, 17, 23, 29,
7. John is 9 years older than Betty. Betty is 12 years old. How old is John?
8. Which property of addition is shown below?
7 ! 6 " 6 ! 7
Name
28422_017_034.indd 17 3/14/08 1:11:35 PM
© P
ears
on E
duca
tion,
Inc.
3
18 Topic 3
3-1
Prob
lem
of t
he D
ayProblem of the Day
3-1
Find
the
mis
sing
num
ber t
hat
com
plet
es th
e fa
ct fa
mily
.
2
!
" 8
8
#
" 2
! 2
" 8
8
# 2
"
Prob
lem
of t
he D
ay 3-1
28422_017_034.indd 18 1/17/08 9:10:02 AM
Topic 3 19
Quick Check
3-1©
Pea
rson
Edu
catio
n, In
c. 3
1. Which of the following is NOT a reason to subtract?
A to estimate the sum
B to ! nd a missing addend
C to compare two amounts
D to ! gure how many are left
2. Which number sentence is in the fact family with 6 ! 7 " 13?
A 5 ! 8 " 13
B 7 # 6 " 1
C 13 # 7 " 6
D 10 ! 3 " 13
3. Hector had 16 markers. After he gave some of the markers to his sister, he had 9 markers left. Which number sentence shows one way to find how many markers Hector gave to his sister?
A 16 ! 9 " !
B 9 # 6 " !
C 16 # 8 " !
D 16 # ! " 9
4. Writing to Explain Tina has 15 magnets for sale. She sells 8 to Mr. Khan. Write a number sentence to fit this problem. Then explain how you would find the difference.
NameQ
uick Check 3
-1
28422_017_034.indd 19 1/17/08 9:10:04 AM
See students’ samples at the right.
Topic 3 19
Quick Check
3-1©
Pea
rson
Edu
catio
n, In
c. 3
1. Which of the following is NOT a reason to subtract?
A to estimate the sum
B to ! nd a missing addend
C to compare two amounts
D to ! gure how many are left
2. Which number sentence is in the fact family with 6 ! 7 " 13?
A 5 ! 8 " 13
B 7 # 6 " 1
C 13 # 7 " 6
D 10 ! 3 " 13
3. Hector had 16 markers. After he gave some of the markers to his sister, he had 9 markers left. Which number sentence shows one way to find how many markers Hector gave to his sister?
A 16 ! 9 " ■
B 9 # 6 " ■
C 16 # 8 " ■
D 16 # ■ " 9
4. Writing to Explain Tina has 15 magnets for sale. She sells 8 to Mr. Khan. Write a number sentence to fit this problem. Then explain how you would find the difference.
NameQ
uick Check 3
-1
28422_017_034.indd 19 3/14/08 1:11:38 PM
Name
© P
ears
on E
duca
tion,
Inc.
3
20 Topic 3
Reteaching
3-1Re
teac
hing
3-1
Subtraction MeaningsDawn received a total of 12 stars on Monday and Tuesday. She received 7 of the stars on Monday. How many stars did she receive on Tuesday?
You can draw a picture to find how many stars Dawn received on Tuesday.
First, draw 12 stars.
Next, put a line through the 7 stars that Dawn received Monday.
Count the number of stars that are not crossed off.There are 5.So, 12 ! 7 " 5.
You can add to check subtraction: 7 # 5 " 12, so 12 ! 7 " 5.
Dawn received 5 stars on Tuesday.
Find each difference. Make a drawing to help you.
1. 13 ! 4 " 2. 16 ! 9 " 3. 15 ! 7 " 4. 11 ! 6 " 5. 12 ! 8 " 6. 14 ! 5 " 7. There are 15 players on the Titans baseball team. Only
9 players can play at any one time. How many players are not playing?
8. Geometry An octagon has 8 sides. A pentagon has 5 sides. How many more sides does an octagon have than a pentagon?
28422_017_034.indd 20 1/17/08 9:10:05 AM
9 7 85 4 9
6
3
Name
© P
ears
on E
duca
tion,
Inc.
3
20 Topic 3
Reteaching
3-1Re
teac
hing
3-1
Subtraction MeaningsDawn received a total of 12 stars on Monday and Tuesday. She received 7 of the stars on Monday. How many stars did she receive on Tuesday?
You can draw a picture to find how many stars Dawn received on Tuesday.
First, draw 12 stars.
Next, put a line through the 7 stars that Dawn received Monday.
Count the number of stars that are not crossed off.There are 5.So, 12 ! 7 " 5.
You can add to check subtraction: 7 # 5 " 12, so 12 ! 7 " 5.
Dawn received 5 stars on Tuesday.
Find each difference. Make a drawing to help you.
1. 13 ! 4 " 2. 16 ! 9 " 3. 15 ! 7 " 4. 11 ! 6 " 5. 12 ! 8 " 6. 14 ! 5 " 7. There are 15 players on the Titans baseball team. Only
9 players can play at any one time. How many players are not playing?
8. Geometry An octagon has 8 sides. A pentagon has 5 sides. How many more sides does an octagon have than a pentagon?
28422_017_034.indd 20 3/14/08 1:11:39 PM
? ?
Name©
Pea
rson
Edu
catio
n, In
c. 3
Topic 3 21
Practice
3-1
1. Terrance has 14 CDs. Robyn has 9 CDs. How many more CDs does Terrance have than Robyn?
3. Arizona has 15 counties. Connecticut has 8 counties. How many more counties does Arizona have than Connecticut?
5. Draw a Picture Carrie invited 13 girls to a party. Five of the girls have already arrived. How many girls have yet to arrive? Draw a picture to show the problem.
2. How many more black stars are there than white stars?
4. A baseball hat costs $12. Nancy has a coupon for $4 off. How much money will Nancy spend on the baseball hat?
6. Number Sense Write the fact family for 3, 9, and 12.
Practice 3-1
Subtraction MeaningsWrite a number sentence for each situation. Solve.
7. LaToya has 12 postcards and 4 photographs on a bulletin board. How many more postcards does LaToya have than photographs?
A 7 B 8 C 9 D 16
28422_017_034.indd 21 1/17/08 9:10:06 AM
? ?
8Check students’ drawings
14 ! 9 " 5; 5 CDs
15 ! 8 " 7; 7 more counties
10 ! 7 " 3; 3 moreblack stars
$12 ! $4 " $8
9 # 3 " 12, 3 # 9 " 12,12 ! 9 " 3, 12 ! 3 " 9
Name©
Pea
rson
Edu
catio
n, In
c. 3
Topic 3 21
Practice
3-1
1. Terrance has 14 CDs. Robyn has 9 CDs. How many more CDs does Terrance have than Robyn?
3. Arizona has 15 counties. Connecticut has 8 counties. How many more counties does Arizona have than Connecticut?
5. Draw a Picture Carrie invited 13 girls to a party. Five of the girls have already arrived. How many girls have yet to arrive? Draw a picture to show the problem.
2. How many more black stars are there than white stars?
4. A baseball hat costs $12. Nancy has a coupon for $4 off. How much money will Nancy spend on the baseball hat?
6. Number Sense Write the fact family for 3, 9, and 12.
Practice 3-1
Subtraction MeaningsWrite a number sentence for each situation. Solve.
7. LaToya has 12 postcards and 4 photographs on a bulletin board. How many more postcards does LaToya have than photographs?
A 7 B 8 C 9 D 16
28422_017_034.indd 21 3/14/08 1:11:40 PM
Name
© P
ears
on E
duca
tion,
Inc.
3
22 Topic 3
Enrichment
3-1En
richm
ent 3
-1
Decode the ShapesEach shape stands for a different number from 1 to 9. Solve each exercise to find the value of each shape. Then write the value of the shape in the chart below.
1. 6 ! " 2. 8 ! "
6 ! = 8 ! =
3. ! " 4. # "
! " # "
5. ! " 6. ! "
! " ! "
7. # " 8. ! "
# " ! "
9. # " 10. ! "
# " ! " Write the value of each shape in the chart below.
" " "
" " "
" " "
Algebra
28422_017_034.indd 22 1/17/08 9:10:07 AM
3 3 4 4
47 3 63 3
26 4 57 2
83 5 16 5
98 1 69 3
3
4
7
6
2
5
8
1
9
Name
© P
ears
on E
duca
tion,
Inc.
3
22 Topic 3
Enrichment
3-1En
richm
ent 3
-1
Decode the ShapesEach shape stands for a different number from 1 to 9. Solve each exercise to find the value of each shape. Then write the value of the shape in the chart below.
1. 6 ! " 2. 8 ! "
6 ! = 8 ! =
3. ! " 4. # "
! " # "
5. ! " 6. ! "
! " ! "
7. # " 8. ! "
# " ! "
9. # " 10. ! "
# " ! " Write the value of each shape in the chart below.
" " "
" " "
" " "
Algebra
28422_017_034.indd 22 3/14/08 1:11:42 PM
Third-Grade Test Scores
Test
Sco
res
1009080706050403020100
Topic 3 23
© P
ears
on E
duca
tion,
Inc.
3Daily Spiral Review
3-2
Daily Spiral Review
3-2
Choose the best answer.
1. Wendy has 35 crayons. Juanita has 23 crayons. How many crayons do Wendy and Juanita have all together?
A 52 C 63
B 58 D 68
2. Each represents 1 square unit. Which of the following is the area of the shaded ! gure?
A 20 square units
B 16 square units
C 12 square units
D 10 square units
3. The table below shows the number of people who attended the third-grade class play each day.
Play Attendance
Day AttendanceTuesday 325Thursday 278
Friday 312
How many people attended the play all together?
A 895 C 915
B 905 D 925
4. Troy has white marbles. Fernando has gray marbles.
Write a number sentence to find how many more marbles Troy has than Fernando.
5. Use the data in the chart to complete the bar graph.
Third-Grade Test ScoresStudent Score
Wanda 95Bill 85Wade 75
6. One player on a football team weighs 318 pounds. Another player weighs 295 pounds. About how many pounds do the two football players weigh all together?
Name
28422_017_034.indd 23 1/17/08 9:10:09 AM
Third-Grade Test Scores
Test
Sco
res
1009080706050403020100
12 ! 8 " 4
Accept 600 or 620
Wanda BillStudent
Wade
Topic 3 23
© P
ears
on E
duca
tion,
Inc.
3Daily Spiral Review
3-2
Daily Spiral Review
3-2
Choose the best answer.
1. Wendy has 35 crayons. Juanita has 23 crayons. How many crayons do Wendy and Juanita have all together?
A 52 C 63
B 58 D 68
2. Each represents 1 square unit. Which of the following is the area of the shaded ! gure?
A 20 square units
B 16 square units
C 12 square units
D 10 square units
3. The table below shows the number of people who attended the third-grade class play each day.
Play Attendance
Day AttendanceTuesday 325Thursday 278
Friday 312
How many people attended the play all together?
A 895 C 915
B 905 D 925
4. Troy has white marbles. Fernando has gray marbles.
Write a number sentence to find how many more marbles Troy has than Fernando.
5. Use the data in the chart to complete the bar graph.
Third-Grade Test ScoresStudent Score
Wanda 95Bill 85Wade 75
6. One player on a football team weighs 318 pounds. Another player weighs 295 pounds. About how many pounds do the two football players weigh all together?
Name
28422_017_034.indd 23 3/14/08 1:11:44 PM
© P
ears
on E
duca
tion,
Inc.
3
24 Topic 3
Prob
lem
of t
he D
ay 3-2
3-2
Prob
lem
of t
he D
ayProblem of the Day
3-2
Tad
is 1
3 ye
ars
old.
H
is b
roth
er, J
ake,
is
4 ye
ars
youn
ger.
How
old
is Ja
ke?
28422_017_034.indd 24 1/17/08 9:10:10 AM
Topic 3 25
© P
ears
on E
duca
tion,
Inc.
3Q
uick Check 3
-2Quick Check
3-2
1. Greta starts at 65. She moves down 3 rows.
Which number sentence shows this?
A 65 ! 3 " 62
B 65 ! 10 " 55
C 65 ! 30 " 35
D 65 # 30 " 95
2. Use the hundred chart to subtract.
86 ! 29 " !
Choose the correct difference.
A 58
B 57
C 56
D 55
3. Writing to Explain Umi saw this number sentence.
20 # ! " 52
Explain what Umi could do to find the number that goes in the box. Write an example of a situation to fit the number sentence. Give the correct answer.
Name
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
28422_017_034.indd 25 1/17/08 9:10:11 AM
See students’ samples at the right.
Topic 3 25
© P
ears
on E
duca
tion,
Inc.
3Q
uick Check 3
-2Quick Check
3-2
1. Greta starts at 65. She moves down 3 rows.
Which number sentence shows this?
A 65 ! 3 " 62
B 65 ! 10 " 55
C 65 ! 30 " 35
D 65 # 30 " 95
2. Use the hundred chart to subtract.
86 ! 29 " !
Choose the correct difference.
A 58
B 57
C 56
D 55
3. Writing to Explain Umi saw this number sentence.
20 # ! " 52
Explain what Umi could do to find the number that goes in the box. Write an example of a situation to fit the number sentence. Give the correct answer.
Name
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
28422_017_034.indd 25 3/14/08 1:11:47 PM
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
Name
© P
ears
on E
duca
tion,
Inc.
3
26 Topic 3
Rete
achi
ng 3-2
Reteaching
3-2Subtracting on a Hundred Chart You can use a hundred chart to subtract.To subtract 72 ! 37, follow these steps:
• Start at 72.• Go up 3 rows to subtract 30.• Go left 1 space to subtract 1.• Move up to the row above and go left 6 spaces.• End at 35.
So, 72 ! 37 " 35.
You could also do it this way.
• Start at 72.• Go up 4 rows to subtract 40.• Go right 3 spaces to add 3.• You end up at 35.
So, 72 ! 37 " 35.
Use a hundred chart to subtract.
1. 57 ! 30 2. 63 ! 20 3. 77 ! 52 4. 54 ! 33
5. 51 ! 18 6. 74 ! 27 7. 93 ! 36 8. 84 ! 25
9. Reasoning To find 62 ! 24, you could first find 64 ! 24 " 40. Then what should you do? Explain.
28422_017_034.indd 26 1/17/08 9:10:13 AM
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
27 43 25 21
33 47 57 59
Subtract 40 ! 2 " 38. Since 2 was added to 62, it has to be subtracted to find the difference.
Name
© P
ears
on E
duca
tion,
Inc.
3
26 Topic 3
Rete
achi
ng 3-2
Reteaching
3-2Subtracting on a Hundred Chart You can use a hundred chart to subtract.To subtract 72 ! 37, follow these steps:
• Start at 72.• Go up 3 rows to subtract 30.• Go left 1 space to subtract 1.• Move up to the row above and go left 6 spaces.• End at 35.
So, 72 ! 37 " 35.
You could also do it this way.
• Start at 72.• Go up 4 rows to subtract 40.• Go right 3 spaces to add 3.• You end up at 35.
So, 72 ! 37 " 35.
Use a hundred chart to subtract.
1. 57 ! 30 2. 63 ! 20 3. 77 ! 52 4. 54 ! 33
5. 51 ! 18 6. 74 ! 27 7. 93 ! 36 8. 84 ! 25
9. Reasoning To find 62 ! 24, you could first find 64 ! 24 " 40. Then what should you do? Explain.
28422_017_034.indd 26 3/14/08 1:11:49 PM
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
Name©
Pea
rson
Edu
catio
n, In
c. 3
Topic 3 27
Practice 3-2
Subtracting on a Hundred ChartUse a hundred chart to subtract.
1. 53 ! 20 2. 76 ! 40
3. 73 ! 30 4. 67 ! 50
5. 94 ! 26 6. 34 ! 18
7. 56 ! 24 8. 84 ! 39 9. 63 ! 49
10. 77 ! 40 11. 93 ! 55 12. 64 ! 36
Practice
3-2
13. At full speed, a lion can run 50 miles per hour. A grizzly bear can run 30 miles per hour. How much faster can a lion run than a grizzly bear? miles per hour
14. Reasonableness Bobby subtracted 75 ! 45 and said the difference is 30. Is his answer reasonable? Why or why not?
15. By how many points did the Terriers win?
16. Which subtraction sentence has a difference of 34?
A 57 ! 33 " ■ C 72 ! 37 ■
B 61 ! 17 " ■ D 63 ! 29 " ■
28422_017_034.indd 27 1/17/08 9:10:14 AM
1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
3633
1743
1668
32
37
45
38
14
28
20
28
Bobby’s answer is reasonable because the ones are the same and 7 ! 4 " 3.
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Topic 3 27
Practice 3-2
Subtracting on a Hundred ChartUse a hundred chart to subtract.
1. 53 ! 20 2. 76 ! 40
3. 73 ! 30 4. 67 ! 50
5. 94 ! 26 6. 34 ! 18
7. 56 ! 24 8. 84 ! 39 9. 63 ! 49
10. 77 ! 40 11. 93 ! 55 12. 64 ! 36
Practice
3-2
13. At full speed, a lion can run 50 miles per hour. A grizzly bear can run 30 miles per hour. How much faster can a lion run than a grizzly bear? miles per hour
14. Reasonableness Bobby subtracted 75 ! 45 and said the difference is 30. Is his answer reasonable? Why or why not?
15. By how many points did the Terriers win?
16. Which subtraction sentence has a difference of 34?
A 57 ! 33 " ! C 72 ! 37 !
B 61 ! 17 " ! D 63 ! 29 " !
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28 Topic 3
Enric
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Reasoning
Enrichment
3-2All, Some, None StatementsRead the All, Some, and None statements.Then write true, false, or can’t tell for each question.
All of the third graders take piano lessons.Some of the fourth graders take drum lessons.None of the fifth graders take drum lessons.
Remember!All means “everyone.”Some means “one or more.”None means “no one.”
1. Dan is in the third grade, 2. John takes drum lessons, so he takes piano lessons. so he is in fourth grade.
3. Colleen is in the fifth grade, 4. Ellen takes piano lessons, so she takes drum lessons. so she is in the third grade.
All of the books the library is selling cost $3 each.Some of the books are about sports.None of the books are about football.
5. Ken bought a book from the library, 6. Debbie bought a book from theso the book is about sports. library, so the book is about football.
7. Reni bought a book about birds, 8. Marty bought a book from theso she bought it from the library. library, so he paid $3 for it.
28422_017_034.indd 28 1/17/08 9:10:15 AM
true
false can’t tell
can’t tell
can’t tell
can’t tell
false
true
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28 Topic 3
Enric
hmen
t 3-2
Reasoning
Enrichment
3-2All, Some, None StatementsRead the All, Some, and None statements.Then write true, false, or can’t tell for each question.
All of the third graders take piano lessons.Some of the fourth graders take drum lessons.None of the fifth graders take drum lessons.
Remember!All means “everyone.”Some means “one or more.”None means “no one.”
1. Dan is in the third grade, 2. John takes drum lessons, so he takes piano lessons. so he is in fourth grade.
3. Colleen is in the fifth grade, 4. Ellen takes piano lessons, so she takes drum lessons. so she is in the third grade.
All of the books the library is selling cost $3 each.Some of the books are about sports.None of the books are about football.
5. Ken bought a book from the library, 6. Debbie bought a book from theso the book is about sports. library, so the book is about football.
7. Reni bought a book about birds, 8. Marty bought a book from theso she bought it from the library. library, so he paid $3 for it.
28422_017_034.indd 28 3/14/08 1:11:52 PM
Topic 3 29
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3Daily Spiral Review
3-3
Daily Spiral Review
3-3
Choose the best answer.
1. What is the missing number?
4 ! (3 ! 9) " ! ! (9 ! 4)
A 16
B 9
C 4
D 3
2. Which would be the least number on a number line?
A 14
B 16
C 10
D 12
3. What is the name of the shape below?
A Square
B Rectangle
C Pentagon
D Hexagon
4. Write twenty thousand, thirty-four in standard form.
5. The Terriers won their basketball game against the Pioneers by 20 points. The Terriers scored 48 points. How many points did the Pioneers score?
6. Which symbol makes this sentence true? Use #, $, or ".
43 ! 25 70
7. Draw the next ! gure in the pattern below.
Name
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20,034
<
Topic 3 29
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3Daily Spiral Review
3-3
Daily Spiral Review
3-3
Choose the best answer.
1. What is the missing number?
4 ! (3 ! 9) " ■ ! (9 ! 4)
A 16
B 9
C 4
D 3
2. Which would be the least number on a number line?
A 14
B 16
C 10
D 12
3. What is the name of the shape below?
A Square
B Rectangle
C Pentagon
D Hexagon
4. Write twenty thousand, thirty-four in standard form.
5. The Terriers won their basketball game against the Pioneers by 20 points. The Terriers scored 48 points. How many points did the Pioneers score?
6. Which symbol makes this sentence true? Use #, $, or ".
43 ! 25 70
7. Draw the next ! gure in the pattern below.
Name
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30 Topic 3
Mar
ia u
sed
9 pi
eces
of
colo
red
pape
r for
her
pr
ojec
t. Sh
e ha
d 6
piec
es
left
. How
man
y pi
eces
did
M
aria
hav
e w
hen
she
star
ted
her p
roje
ct?
Problem of the Day
3-3
3-3
Prob
lem
of t
he D
ayPr
oble
m o
f the
Day
3-3
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3-3Q
uick Check 3
-3
1. Tyrell saved $73. He spent $28 on a watch. Use mental math to figure out how much money Tyrell has left.
A $41
B $43
C $45
D $91
2. The price of a CD player was $60. It is now on sale for $22 less than the original price. Which number sentence could you use to show how to find the sale price of the CD player?
A $60 ! $22 " !
B $60 # $22 " !
C $60 ! ! " $20
D ! ! $22 " $60
3. Writing to Explain To subtract 38 ! 17, Jayce added 2 to each number, while Shea added 3 to each number. Will both methods work to find the correct difference? Explain.
Name
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See students’ samples at the right.
Topic 3 31
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3Quick Check
3-3Q
uick Check 3
-3
1. Tyrell saved $73. He spent $28 on a watch. Use mental math to figure out how much money Tyrell has left.
A $41
B $43
C $45
D $91
2. The price of a CD player was $60. It is now on sale for $22 less than the original price. Which number sentence could you use to show how to find the sale price of the CD player?
A $60 ! $22 " ■
B $60 # $22 " ■
C $60 ! ■ " $20
D ■ ! $22 " $60
3. Writing to Explain To subtract 38 ! 17, Jayce added 2 to each number, while Shea added 3 to each number. Will both methods work to find the correct difference? Explain.
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32 Topic 3
Reteaching
3-3Using Mental Math to SubtractYou can change numbers to make subtraction problems easier.
There are two ways to subtract 42 ! 28.
One way is to add 2 to 28.
42 ! 42 ! 28 " 2 ! 30 12
Because you added 2 to 28, add 2 to the difference.
12 " 2 # 14
So, 42 ! 28 # 14.
Another way is to add 2 to both 42 and 28.
42 " 2 ! 44 ! 28 " 2 ! 30 14
What you do to the bottom number, also do to the top number.
So, 42 ! 28 # 14.
Find each difference using mental math.
1. 32 ! 17 # 2. 51 ! 46 # 3. 42 ! 18 # 4. 36 ! 19 # 5. 63 ! 56 # 6. 78 ! 16 # 7. 94 ! 18 # 8. 55 ! 33 # 9. 81 ! 13 # 10. Number Sense Rob had $60 when he went to the mall. He
bought a DVD for $15. How much money does he have left? Write the number sentence you used to solve the problem.
Rete
achi
ng 3-3
28422_017_034.indd 32 1/17/08 9:10:19 AM
15 5 2417 7 6276 22 68
$60 ! $15 " $45
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32 Topic 3
Reteaching
3-3Using Mental Math to SubtractYou can change numbers to make subtraction problems easier.
There are two ways to subtract 42 ! 28.
One way is to add 2 to 28.
42 ! 42 ! 28 " 2 ! 30 12
Because you added 2 to 28, add 2 to the difference.
12 " 2 # 14
So, 42 ! 28 # 14.
Another way is to add 2 to both 42 and 28.
42 " 2 ! 44 ! 28 " 2 ! 30 14
What you do to the bottom number, also do to the top number.
So, 42 ! 28 # 14.
Find each difference using mental math.
1. 32 ! 17 # 2. 51 ! 46 # 3. 42 ! 18 # 4. 36 ! 19 # 5. 63 ! 56 # 6. 78 ! 16 # 7. 94 ! 18 # 8. 55 ! 33 # 9. 81 ! 13 # 10. Number Sense Rob had $60 when he went to the mall. He
bought a DVD for $15. How much money does he have left? Write the number sentence you used to solve the problem.
Rete
achi
ng 3-3
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Topic 3 33
Practice
3-3Using Mental Math to SubtractFind each difference using mental math.
1. 38 ! 14 2. 42 ! 13 3. 55 ! 12 4. 62 ! 17
5. 72 ! 19 6. 94 ! 11 7. 32 ! 15 8. 85 ! 18
9. 43 ! 16 10. 66 ! 15 11. 53 ! 19 12. 72 ! 16
13. Number Sense Gillian started solving 88 ! 29.This is what she did.
88 ! 29 " ? 88 ! 30 " 58
What should Gillian do next? 14. Explain It Tell how to find 81 ! 16 using mental math.
15. Tiffany will use a total of 63 tiles for her art project. She only needs 17 more tiles. Use mental math to find how many tiles she has already.
16. To solve 35 ! 19, Jack used 35 ! 20 and then
A added 1. C subtracted 1.
B subtracted 9. D added 9.
Practice 3-3
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24 29 43 45
53 83 17 67
27 51 34 56
Add 58 ! 1 " 59
Answers will vary. Possible answer: Subtract 81 # 20 " 61. Then since we subtracted 4 more than 16, we must add 4 to the difference. So, 61 ! 4 " 65.
46
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Topic 3 33
Practice
3-3Using Mental Math to SubtractFind each difference using mental math.
1. 38 ! 14 2. 42 ! 13 3. 55 ! 12 4. 62 ! 17
5. 72 ! 19 6. 94 ! 11 7. 32 ! 15 8. 85 ! 18
9. 43 ! 16 10. 66 ! 15 11. 53 ! 19 12. 72 ! 16
13. Number Sense Gillian started solving 88 ! 29.This is what she did.
88 ! 29 " ? 88 ! 30 " 58
What should Gillian do next? 14. Explain It Tell how to find 81 ! 16 using mental math.
15. Tiffany will use a total of 63 tiles for her art project. She only needs 17 more tiles. Use mental math to find how many tiles she has already.
16. To solve 35 ! 19, Jack used 35 ! 20 and then
A added 1. C subtracted 1.
B subtracted 9. D added 9.
Practice 3-3
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34 Topic 3
Find DifferencesUse mental math to subtract. Then write each number sentence in the correct box below.
62 ! 49 " !
62 ! 52 " !
43 ! 31 " !
62 ! 47 " !
62 ! 48 " !
43 ! 30 " !
62 ! 51 " !
43 ! 32 " !
43 ! 28 " !
62 ! 50 " !
43 ! 29 " !
43 ! 33 " !
Difference of 10 Difference of 11 Difference of 12
! " ! " ! "
! " ! " ! "
Difference of 13 Difference of 14 Difference of 15
! " ! " ! "
! " ! " ! "
Number Sense Write 6 different subtraction sentences that will fit in each of the boxes above. Use the same beginning number each time.
Enrichment
3-3
Mental Math
Enric
hmen
t 3-3
28422_017_034.indd 34 1/17/08 9:10:22 AM
62 52 10
43 33 10
62 51 11
43 32 11
62 50 12
43 31 12
62 49 13
43 30 13
62 48 14
43 29 14
62 47 15
43 28 15
Subtraction sentences will vary.
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34 Topic 3
Find DifferencesUse mental math to subtract. Then write each number sentence in the correct box below.
62 ! 49 " !
62 ! 52 " !
43 ! 31 " !
62 ! 47 " !
62 ! 48 " !
43 ! 30 " !
62 ! 51 " !
43 ! 32 " !
43 ! 28 " !
62 ! 50 " !
43 ! 29 " !
43 ! 33 " !
Difference of 10 Difference of 11 Difference of 12
! " ! " ! "
! " ! " ! "
Difference of 13 Difference of 14 Difference of 15
! " ! " ! "
! " ! " ! "
Number Sense Write 6 different subtraction sentences that will fit in each of the boxes above. Use the same beginning number each time.
Enrichment
3-3
Mental Math
Enric
hmen
t 3-3
28422_017_034.indd 34 3/14/08 1:12:00 PM
0
10
20
30
40
50
60
70
80
90
100°F
Topic 3 35
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Daily Spiral Review
3-4
Daily Spiral Review
3-4Choose the best answer.
1. Which number is next in the pattern below? 12, 19, 26, 33,
A 38
B 39
C 40
D 41
2 Which combination of coins could you use to show $1.31?
A 4 quarters, 2 dimes, 1 penny
B 2 half dollars, 1 quarter, 1 dime, 1 penny
C 4 quarters, 4 nickels, 1 penny
D 5 quarters, 1 nickel, 1 penny
3. Texas has 34 electoral votes in presidential elections. California has 21 more electoral votes than Texas. How many electoral votes does California have?
A 65
B 55
C 13
D 3
In 4 through 6, find each difference using mental math.
4. 61 ! 9 "
5. 89 ! 18 "
6. 94 ! 27 "
7. The distance between Dallas, TX, and Houston, TX, is 243 miles. The distance between Dallas and Memphis, TN, is 209 miles more than the distance between Dallas and Houston. How many miles is Memphis from Dallas?
8. Erica wants to know the temperature outside. She reads the thermometer below to ! nd the temperature in °F. What is the temperature?
Name
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0
10
20
30
40
50
60
70
80
90
100°F
527167
452
55°F
Topic 3 35
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Daily Spiral Review
3-4
Daily Spiral Review
3-4Choose the best answer.
1. Which number is next in the pattern below? 12, 19, 26, 33,
A 38
B 39
C 40
D 41
2 Which combination of coins could you use to show $1.31?
A 4 quarters, 2 dimes, 1 penny
B 2 half dollars, 1 quarter, 1 dime, 1 penny
C 4 quarters, 4 nickels, 1 penny
D 5 quarters, 1 nickel, 1 penny
3. Texas has 34 electoral votes in presidential elections. California has 21 more electoral votes than Texas. How many electoral votes does California have?
A 65
B 55
C 13
D 3
In 4 through 6, find each difference using mental math.
4. 61 ! 9 "
5. 89 ! 18 "
6. 94 ! 27 "
7. The distance between Dallas, TX, and Houston, TX, is 243 miles. The distance between Dallas and Memphis, TN, is 209 miles more than the distance between Dallas and Houston. How many miles is Memphis from Dallas?
8. Erica wants to know the temperature outside. She reads the thermometer below to ! nd the temperature in °F. What is the temperature?
Name
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36 Topic 3
Wha
t is
the
diffe
renc
e be
twee
n th
e hi
ghes
t an
d lo
wes
t tem
pera
ture
s?
Reco
rd T
empe
ratu
res
in H
awai
i
Low
est:
12ºF
H
ighe
st:
100º
F
3-4
Prob
lem
of t
he D
ayProb
lem
of t
he D
ay 3-4
Problem of the Day
3-4
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Topic 3 37
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uick Check 3
-4Quick Check
3-4
1. The lunchroom has 142 seats. Children are sitting in 87 of the seats. Which is the best estimate of the number of empty seats?
A 50
B 60
C 220
D 230
2. At a party, 26 people ate in the house and 49 people ate in the yard. Which number sentence shows the BEST way to estimate how many fewer people ate in the house than in the yard?
A 30 ! 50 " 80
B 50 # 30 " 20
C 50 # 25 " 25
D 49 # 26 " 23
3. On Saturday, 376 children and 132 adults visited the zoo. Round to the nearest hundred to estimate the difference in the number of children and adults who went to the zoo that day.
A 510
B 500
C 300
D 250
4. Writing to Explain What are compatible numbers? What compatible numbers would you pick to estimate the difference of 777 # 248? Why?
Name
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See students’ samples at the right.
Topic 3 37
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3Q
uick Check 3
-4Quick Check
3-4
1. The lunchroom has 142 seats. Children are sitting in 87 of the seats. Which is the best estimate of the number of empty seats?
A 50
B 60
C 220
D 230
2. At a party, 26 people ate in the house and 49 people ate in the yard. Which number sentence shows the BEST way to estimate how many fewer people ate in the house than in the yard?
A 30 ! 50 " 80
B 50 # 30 " 20
C 50 # 25 " 25
D 49 # 26 " 23
3. On Saturday, 376 children and 132 adults visited the zoo. Round to the nearest hundred to estimate the difference in the number of children and adults who went to the zoo that day.
A 510
B 500
C 300
D 250
4. Writing to Explain What are compatible numbers? What compatible numbers would you pick to estimate the difference of 777 # 248? Why?
Name
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38 Topic 3
Rete
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Reteaching
3-4Estimating DifferencesMembers of the Biology Club caught 288 butterflies and 136 grasshoppers in their nets. About how many more butterflies than grasshoppers did the club catch?
You can estimate by rounding. To round to a certain place, look at the digit to the right of that place. If the digit is 5 or greater, round up. If the digit is less than 5, round down.
Round to the nearest hundred. Look at the digits in the tens place.
288 ! 300 ! 136 ! 100 200
There were about 200 more butterflies than grasshoppers caught.
Round to the nearest ten. Look at the digits in the ones place.
288 ! 290 ! 136 ! 140 150
There were about 150 more butterflies than grasshoppers caught.
Estimate by rounding to the nearest hundred.
1. 442! 112
2. 725! 278
3. 363! 187
Estimate by rounding to the nearest ten.
4. 68 ! 42 " 5. 88 ! 17 " 6. 231 ! 109 " 7. Explain It Charlie estimated 293 ! 44 and got a difference
of about 250. Is this a reasonable estimate? Explain.
28422_035_046.indd 38 1/17/08 9:09:49 AM
300 400 200
30 70 120
Yes, Charlie estimated by rounding to the nearest ten, which gave him 290 ! 40 " 250.
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38 Topic 3
Rete
achi
ng 3-4
Reteaching
3-4Estimating DifferencesMembers of the Biology Club caught 288 butterflies and 136 grasshoppers in their nets. About how many more butterflies than grasshoppers did the club catch?
You can estimate by rounding. To round to a certain place, look at the digit to the right of that place. If the digit is 5 or greater, round up. If the digit is less than 5, round down.
Round to the nearest hundred. Look at the digits in the tens place.
288 ! 300 ! 136 ! 100 200
There were about 200 more butterflies than grasshoppers caught.
Round to the nearest ten. Look at the digits in the ones place.
288 ! 290 ! 136 ! 140 150
There were about 150 more butterflies than grasshoppers caught.
Estimate by rounding to the nearest hundred.
1. 442! 112
2. 725! 278
3. 363! 187
Estimate by rounding to the nearest ten.
4. 68 ! 42 " 5. 88 ! 17 " 6. 231 ! 109 " 7. Explain It Charlie estimated 293 ! 44 and got a difference
of about 250. Is this a reasonable estimate? Explain.
28422_035_046.indd 38 3/14/08 1:12:14 PM
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Topic 3 39
Practice
3-4Practice 3
-4
Estimating DifferencesRound to the nearest hundred to estimate each difference.
1. 478 ! 267 2. 236 ! 119 3. 588 ! 321
Round to the nearest ten to estimate each difference.
4. 677 ! 421 5. 296 ! 97 6. 312 ! 157
Use compatible numbers to estimate each difference.
7. 84 ! 36 8. 427 ! 163 9. 609 ! 243
10. Number Sense Fern rounded to the nearest ten to estimate
548 ! 132. She subtracted 540 ! 130 and got 410. Is Fern’s estimate correct? Explain.
11. Waco, TX, has an elevation of 405 feet. Dallas, TX, has an elevation of 463 feet. About how many feet greater is Dallas’s elevation than Waco’s elevation?
12. On Friday, 537 people attended a play. For Saturday’s matinee, there were 812 people. About how many more people attended the play on Saturday than on Friday?
13. A football team scored 529 points one season and then 376 points the next. About how many points less did the team score in the second season? Round to the nearest ten.
14. George got a 94 on his spelling test and a 68 on his math test. Which number sentence best shows about how many more points George got on his spelling test than on his math test?
A 90 ! 60 " 30 C 100 # 60 " 160
B 90 # 70 " 160 D 90 ! 70 " 20
28422_035_046.indd 39 1/17/08 9:09:50 AM
Estimates may vary. Sample answers are given.
200 100 300
260 200 150
50 260 350
No; Fern should have estimated by subtracting 550 ! 130 " 420.
460 ! 410 " 50
Possible answer: 270
150
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Topic 3 39
Practice
3-4
Practice 3-4
Estimating DifferencesRound to the nearest hundred to estimate each difference.
1. 478 267 2. 236 119 3. 588 321
Round to the nearest ten to estimate each difference.
4. 677 421 5. 296 97 6. 312 157
Use compatible numbers to estimate each difference.
7. 84 36 8. 427 163 9. 609 243
10. Number Sense Fern rounded to the nearest ten to estimate
548 132. She subtracted 540 130 and got 410. Is Fern’s estimate correct? Explain.
11. Waco, TX, has an elevation of 405 feet. Dallas, TX, has an elevation of 463 feet. About how many feet greater is Dallas’s elevation than Waco’s elevation?
12. On Friday, 537 people attended a play. For Saturday’s matinee, there were 812 people. About how many more people attended the play on Saturday than on Friday?
13. A football team scored 529 points one season and then 376 points the next. About how many points less did the team score in the second season? Round to the nearest ten.
14. George got a 94 on his spelling test and a 68 on his math test. Which number sentence best shows about how many more points George got on his spelling test than on his math test?
A 90 60 30 C 100 60 160
B 90 70 160 D 90 70 20
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40 Topic 3
Decision Making
Enrichment
3-4
Enri
chm
ent 3
-4
Flower Sale Miss Richards’s Flower Shop is having a week-long sale.
1. Marisa wants to buy one dozen roses and one bouquet. She has $50 to spend. Can she buy both items? Use estimation to explain your answer.
2. Gary has $100, and he wants to buy one of each of the four items. Does he have enough money? Explain your answer.
3. Which three items have costs that add up the closest to $100? Explain how you solved this problem.
4. Explain why it is better to round to the nearest ten than to the nearest hundred when solving problems about the sale at Miss Richards’s Flower Shop.
Flower SaleOne dozen roses: $24
Mixed ower bouquet: $19
Wedding display: $72
Potted plant: $8
28422_035_046.indd 40 1/17/08 9:09:51 AM
Yes; $24 rounds to $20. $19 rounds to $20. $20 $20 $40
Sample answer: I used trial and error. The bouquet, wedding display, and potted plant add up to $99.
No; The total estimated cost for one of each item is $120. $20 $20 $70 $10 $120
It does not make sense to round to hundreds when you have prices that are between $8 and $72.
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40 Topic 3
Decision Making
Enrichment
3-4
Enri
chm
ent 3
-4
Flower Sale Miss Richards’s Flower Shop is having a week-long sale.
1. Marisa wants to buy one dozen roses and one bouquet. She has $50 to spend. Can she buy both items? Use estimation to explain your answer.
2. Gary has $100, and he wants to buy one of each of the four items. Does he have enough money? Explain your answer.
3. Which three items have costs that add up the closest to $100? Explain how you solved this problem.
4. Explain why it is better to round to the nearest ten than to the nearest hundred when solving problems about the sale at Miss Richards’s Flower Shop.
Flower SaleOne dozen roses: $24
Mixed ower bouquet: $19
Wedding display: $72
Potted plant: $8
28422_035_046.indd 40 3/14/08 1:12:17 PM
20 30
A
Topic 3 41
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3Da ily Spira l Review
3-5
Daily Spiral Review
3
-5Name
Choose the best answer.
1. Isabelle scored 528 points and Brandy scored 285 points in the same game. Which is the best estimate for how many more points Isabelle scored than Brandy?
A 200
B 300
C 700
D 800
2. Pedro is going to piano practice. Which of the following is the best estimate of the length of time that Pedro will be at piano practice?
A 1 minute
B 1 day
C 1 second
D 1 hour
3. Joylin is subtracting 97 43. She adds 4 43 before subtracting. What will she need to do?
A Subtract 4 from the difference.
B Add 4 to the difference.
C Just nd the difference.
D Subtract 2 from the difference.
4. What does point A represent on the number line below?
Use the information below to answer 5 through 7.
Kiki scored 27 points, Tanya scored 11 points, and Penelope scored 8 points.
5. How many points did they score all together?
6. How many more points did Kiki
score than Tanya and Penelope combined?
7. Is Kiki and Tanya’s combined
score greater or less than Kiki and Penelope’s combined score?
28422_035_046.indd 41 1/17/08 9:09:52 AM
20 30
A
26
46
8
Kiki and Tanya’sscores are greater.
Topic 3 41
© P
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3Da ily Spira l Review
3-5
Daily Spiral Review
3
-5Name
Choose the best answer.
1. Isabelle scored 528 points and Brandy scored 285 points in the same game. Which is the best estimate for how many more points Isabelle scored than Brandy?
A 200
B 300
C 700
D 800
2. Pedro is going to piano practice. Which of the following is the best estimate of the length of time that Pedro will be at piano practice?
A 1 minute
B 1 day
C 1 second
D 1 hour
3. Joylin is subtracting 97 43. She adds 4 43 before subtracting. What will she need to do?
A Subtract 4 from the difference.
B Add 4 to the difference.
C Just nd the difference.
D Subtract 2 from the difference.
4. What does point A represent on the number line below?
Use the information below to answer 5 through 7.
Kiki scored 27 points, Tanya scored 11 points, and Penelope scored 8 points.
5. How many points did they score all together?
6. How many more points did Kiki
score than Tanya and Penelope combined?
7. Is Kiki and Tanya’s combined
score greater or less than Kiki and Penelope’s combined score?
28422_035_046.indd 41 3/14/08 1:12:18 PM
© P
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42 Topic 3
Prob
lem
of t
he D
ay 3
-5
3-5
Prob
lem
of t
he D
ay
Tell
wha
t inf
orm
atio
n is
not
nee
ded.
Th
en so
lve.
How
muc
h fa
ster
can
an
elk
run
than
a g
iraffe
?
Problem of the Day
3-5
Elk
45 m
iles
per h
our
Zebr
a40
mile
s pe
r hou
rG
iraf
fe32
mile
s pe
r hou
r
Top
Spee
ds
28422_035_046.indd 42 1/17/08 9:09:53 AM
Topic 3 43
© P
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1. Essie is watching a movie that lasts 97 minutes. She is 25 minutes from the end. How many minutes has she already watched?
A 122 minutes
B 97 minutes
C 72 minutes
D 27 minutes
2. Jason went bowling with his friends. The table shows Jason’s scores for three games. Which is NOT a reasonable estimate of Jason’s total score for all three games?
Game Score1 682 1023 53
A about 150 points
B about 200 points
C about 220 points
D about 225 points
3. Writing to Explain Suppose you are reading a book with 96 pages. So far, you have read 61 pages. How many more pages do you have to read before you finish? Write about how to solve this problem. You can draw a diagram, if you wish. What two questions should you ask yourself before you decide you are done?
Quick C
heck 3-5
Q uick Check
3-5Name
28422_035_046.indd 43 1/17/08 9:09:55 AM
See students’ samples at the right.
Topic 3 43
© P
ears
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1. Essie is watching a movie that lasts 97 minutes. She is 25 minutes from the end. How many minutes has she already watched?
A 122 minutes
B 97 minutes
C 72 minutes
D 27 minutes
2. Jason went bowling with his friends. The table shows Jason’s scores for three games. Which is NOT a reasonable estimate of Jason’s total score for all three games?
Game Score1 682 1023 53
A about 150 points
B about 200 points
C about 220 points
D about 225 points
3. Writing to Explain Suppose you are reading a book with 96 pages. So far, you have read 61 pages. How many more pages do you have to read before you finish? Write about how to solve this problem. You can draw a diagram, if you wish. What two questions should you ask yourself before you decide you are done?
Quick C
heck 3-5
Q uick Check
3-5Name
28422_035_046.indd 43 3/14/08 1:12:21 PM
86 square miles in all
47 ?
75 stories in all
56
points in all
49 62
Name
© P
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44 Topic 3
Reteaching
3-5
Rete
achi
ng 3
-5
Problem Solving: ReasonablenessThe island of Elba has an area of 86 square miles. The island of St. Helena has an area of 47 square miles. How many square miles larger is Elba than St. Helena?
You can subtract to find how many square miles larger Elba is than St. Helena. Use mental math or a hundred chart to subtract.
86 47 39
Make sure you answered the correct question.
The question asked how many square miles larger Elba is than St. Helena. The correct question was answered.
Elba is 39 square miles larger than St. Helena.
Make sure that your answer is reasonable.
Since 47 39 86, the answer is reasonable.
1. The JP Morgan Chase Tower in Houston has 75 stories. The Renaissance Tower in Dallas has 56 stories. How many more stories does the JP Morgan Chase Tower have than the Renaissance Tower?
2. The Bulldogs scored 49 points in last week’s game. This week, they scored 62 points. How many points did the Bulldogs score in all in the two games?
3. Write a Problem Write a problem about something you did that can be solved using addition or subtraction. Then solve the problem and check that your answer is reasonable.
28422_035_046.indd 44 1/17/08 9:09:55 AM
86 square miles in all
47 ?
75 stories in all
56
points in all
49 62
Problems will vary.
11119
Name
© P
ears
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44 Topic 3
Reteaching
3-5
Rete
achi
ng 3
-5
Problem Solving: ReasonablenessThe island of Elba has an area of 86 square miles. The island of St. Helena has an area of 47 square miles. How many square miles larger is Elba than St. Helena?
You can subtract to find how many square miles larger Elba is than St. Helena. Use mental math or a hundred chart to subtract.
86 47 39
Make sure you answered the correct question.
The question asked how many square miles larger Elba is than St. Helena. The correct question was answered.
Elba is 39 square miles larger than St. Helena.
Make sure that your answer is reasonable.
Since 47 39 86, the answer is reasonable.
1. The JP Morgan Chase Tower in Houston has 75 stories. The Renaissance Tower in Dallas has 56 stories. How many more stories does the JP Morgan Chase Tower have than the Renaissance Tower?
2. The Bulldogs scored 49 points in last week’s game. This week, they scored 62 points. How many points did the Bulldogs score in all in the two games?
3. Write a Problem Write a problem about something you did that can be solved using addition or subtraction. Then solve the problem and check that your answer is reasonable.
28422_035_046.indd 44 3/14/08 1:12:22 PM
points in all
5659
92 miles in all
54
76 pages in all
47
45 students in all
27
medals in all
40 40 30
© P
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Topic 3 45
Practice
3-5
Practice 3-5
Problem Solving: ReasonablenessSolve. Then check that your answer is reasonable.
1. The Aggies scored 59 points in the first half and 56 points in the second half. How many points did the Aggies score altogether?
3. There are 45 students going on a field trip. O f those students, 27 are from Mrs. Unser’s class. The rest are from Mr. King’s class. How many students are from Mr. King’s class?
5. Christine is reading a short story that is 76 pages long. She just finished reading page 47. How many more pages does she have left to read?
2. Ms. Rice is driving 92 miles to a meeting. After driving 54 miles, shestops to buy gasoline. How manymore miles does she have left?
4. Estimation In the 2004 Summer Olympics, the United States won 36 gold, 39 silver, and 27 bronze medals. About how many medals did the United States win?
Name
6. Wyoming has 23 counties. Wisconsin has 49 more counties than Wyoming. How many counties does Wisconsin have?
A 26 B 62 C 72 D 82
28422_035_046.indd 45 1/17/08 9:09:56 AM
points in all
5659
92 miles in all
54
76 pages in all
47
45 students in all
27
medals in all
40 40 30
29
110
11538
18
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Topic 3 45
Practice
3-5
Practice 3-5
Problem Solving: ReasonablenessSolve. Then check that your answer is reasonable.
1. The Aggies scored 59 points in the first half and 56 points in the second half. How many points did the Aggies score altogether?
3. There are 45 students going on a field trip. O f those students, 27 are from Mrs. Unser’s class. The rest are from Mr. King’s class. How many students are from Mr. King’s class?
5. Christine is reading a short story that is 76 pages long. She just finished reading page 47. How many more pages does she have left to read?
2. Ms. Rice is driving 92 miles to a meeting. After driving 54 miles, shestops to buy gasoline. How manymore miles does she have left?
4. Estimation In the 2004 Summer Olympics, the United States won 36 gold, 39 silver, and 27 bronze medals. About how many medals did the United States win?
Name
6. Wyoming has 23 counties. Wisconsin has 49 more counties than Wyoming. How many counties does Wisconsin have?
A 26 B 62 C 72 D 82
28422_035_046.indd 45 3/14/08 1:12:24 PM
Books Read This Summer
Each stands for 2 books.
Books Read This Summer
Each stands for 4 books.
Name
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46 Topic 3
Read a PictographThe pictograph at the right shows the number of books that Eric, Gary, Kim, and Meg read during the summer.
1. Use these clues to write the names of the children next to the number of books they have read.
• Eric has read the least books.• Kim has read twice as many
books as Gary.• Gary has read twice as many
books as Eric.
2. How many books has each person read?
Eric _______ Gary _______ Kim _______ Meg _______
3. How many books have the children read altogether?
4. Write a subtraction sentence to show how many more books Kim read than Eric.
5. Show how the pictograph will change if each stands for 4 books.
Enrichment
3-5
Data
Enri
chm
ent 3
-5
28422_035_046.indd 46 1/17/08 9:09:57 AM
Books Read This Summer
Each stands for 2 books.
Books Read This Summer
Each stands for 4 books.
books books books books
Meg
Gary
Kim
Eric
8 2 6 more books
Meg
Gary
Eric
Kim
62 4 8
20 books
Name
© P
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46 Topic 3
Read a PictographThe pictograph at the right shows the number of books that Eric, Gary, Kim, and Meg read during the summer.
1. Use these clues to write the names of the children next to the number of books they have read.
• Eric has read the least books.• Kim has read twice as many
books as Gary.• Gary has read twice as many
books as Eric.
2. How many books has each person read?
Eric _______ Gary _______ Kim _______ Meg _______
3. How many books have the children read altogether?
4. Write a subtraction sentence to show how many more books Kim read than Eric.
5. Show how the pictograph will change if each stands for 4 books.
Enrichment
3-5
Data
Enri
chm
ent 3
-5
28422_035_046.indd 46 3/14/08 1:12:25 PM
Name©
Pea
rson
Edu
catio
n, In
c. 3
Mark the best answer.
Topic 3 Multiple-Choice Test
Topic 3M
ultiple-Choice Test
Topic 3 47
1. There are 16 students in a scout troop. Seven of the students go on a nature hike. Which number sentence shows a way to find out how many students did not go on the hike? (3-1)
A 7 16
B 7 16
C 16 7
D 16 7
2. A theater has 325 seats. There are 187 people who buy tickets for a show. Which is the best estimate of how many seats are empty? (3-4)
A 120
B 140
C 160
D 180
3. Nadia wants to subtract 75 32 on the hundred chart. She starts at 75, then moves up 3 rows. What should Nadia do next? (3-2)
31 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 80
A Move up 2 rows.
B Move left 3 squares.
C Move right 2 squares.
D Move left 2 squares.
4. Which number sentence is shown? (3-1)
A 12 7 19
B 19 7 12
C 12 4 8
D 12 8 4
5. The table shows how many people came to the amusement park for three days.
Day PeopleFriday 119Saturday 476Sunday 323
Which is the best estimate for how many more people came to the park on Saturday than on Friday? (3-4)
A 370
B 360
C 350
D 150
28422_047_049.indd 47 1/17/08 9:10:49 AM
Name©
Pea
rson
Edu
catio
n, In
c. 3
Mark the best answer.
Topic 3 Multiple-Choice Test
Topic 3M
ultiple-Choice Test
Topic 3 47
1. There are 16 students in a scout troop. Seven of the students go on a nature hike. Which number sentence shows a way to find out how many students did not go on the hike? (3-1)
A 7 16
B 7 16
C 16 7
D 16 7
2. A theater has 325 seats. There are 187 people who buy tickets for a show. Which is the best estimate of how many seats are empty? (3-4)
A 120
B 140
C 160
D 180
3. Nadia wants to subtract 75 32 on the hundred chart. She starts at 75, then moves up 3 rows. What should Nadia do next? (3-2)
31 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 80
A Move up 2 rows.
B Move left 3 squares.
C Move right 2 squares.
D Move left 2 squares.
4. Which number sentence is shown? (3-1)
A 12 7 19
B 19 7 12
C 12 4 8
D 12 8 4
5. The table shows how many people came to the amusement park for three days.
Day PeopleFriday 119Saturday 476Sunday 323
Which is the best estimate for how many more people came to the park on Saturday than on Friday? (3-4)
A 370
B 360
C 350
D 150
28422_047_049.indd 47 3/14/08 1:12:28 PM
Name
G ive each answer.
© P
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Topic 3Free-Response Test
Topi
c 3
Free
-Res
pons
e Te
st
50 Topic 3
1. Sandra picks a bouquet of11 flowers. Her brother picks7 flowers. Write a number sentence that shows how to findhow many more flowers Sandra has than her brother? (3-1)
2. At the beginning of baseball season, a sports store had 278 batting helmets in stock. At the end of the season, there are only 87 helmets left. Estimate about how many helmets were sold during the season. (3-4)
3. Use the hundred chart to subtract 73 35. (3-2)
21 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 80
4. Isaac has 72 insects in a collection. His friend Jamie has 47 insects. Isaac says that Jamie has 35 more insects in his collection. Explain why Isaac’s answer is reasonable or not. (3-5)
5. Write a number sentence to show what happens in the picture. (3-1)
6. In a survey, people voted for their favorite flavor of ice cream. The results are shown in the chart.
Flavor VotesVanilla 713
Chocolate 592Strawberry 341
Write an estimate to the nearest ten to show how many more people like vanilla than strawberry. (3-4)
7. Write a number sentence to go with the model. (3-1)
18 in all
9 ?
28422_050_051.indd 50 1/17/08 9:10:56 AM
11 7 4
Answer will vary between 190–200
72 47 is about 70 50, or 20. 35 is not close to 20, so Isaac’s answer is not reasonable.
13 5 8
370
18 9 9
38
Name
G ive each answer.
© P
ears
on E
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Topic 3Free-Response Test
Topi
c 3
Free
-Res
pons
e Te
st
50 Topic 3
1. Sandra picks a bouquet of11 flowers. Her brother picks7 flowers. Write a number sentence that shows how to findhow many more flowers Sandra has than her brother? (3-1)
2. At the beginning of baseball season, a sports store had 278 batting helmets in stock. At the end of the season, there are only 87 helmets left. Estimate about how many helmets were sold during the season. (3-4)
3. Use the hundred chart to subtract 73 35. (3-2)
21 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 80
4. Isaac has 72 insects in a collection. His friend Jamie has 47 insects. Isaac says that Jamie has 35 more insects in his collection. Explain why Isaac’s answer is reasonable or not. (3-5)
5. Write a number sentence to show what happens in the picture. (3-1)
6. In a survey, people voted for their favorite flavor of ice cream. The results are shown in the chart.
Flavor VotesVanilla 713
Chocolate 592Strawberry 341
Write an estimate to the nearest ten to show how many more people like vanilla than strawberry. (3-4)
7. Write a number sentence to go with the model. (3-1)
18 in all
9 ?
28422_050_051.indd 50 3/14/08 1:12:34 PM
School Ca rniva lShopping List
5 rolls of t icke ts 18 shee ts of post er bo a rd 84 ba lloons 364 sma ll prizes 248 la rge prizes
Whole
18
7
Name
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Pe
rfor
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52 Topic 3
Topic 3Performance Assessment
Mrs. Carlton is in charge of the school carnival. She bought all the items shown on the shopping list.
1. Meg used 6 of the poster board sheets to makesigns for the carnival. How many sheets ofposter board are left? On a separate piece ofpaper, draw and label a picture and write anumber sentence to explain.
2. There are 75 tickets on each roll of tickets.The first hour of the carnival, 30 tickets weresold from one roll. Use mental math to find howmany tickets were left on the roll. Explain your thinking.
3. Miguel used all the balloons to decorate the booths.But 18 of the balloons broke when he blew them up.Use mental math to find how many balloons did not break.Then explain your thinking.
4. Estimate how many more small prizes were bought than large prizes. Explain the method you used to estimate.
5. Complete this drawing. Explain how it showshow addition and subtraction are related. Then write a fact family for the drawing.
28422_052.indd 52 1/17/08 9:10:53 AM
School Ca rniva lShopping List
5 rolls of t icke ts 18 shee ts of post er bo a rd 84 ba lloons 364 sma ll prizes 248 la rge prizes
Whole
18
7
45 tickets; I started at 75 and counted back 3 tens to
subtract 30 — 65, 55, 45. So, 75 30 45.
66 balloons did not break; I subtracted 20 from 84.
84 — 20 64. Since I subtracted 2 more than 18, I added 2 to the answer. 64 2 66.
110 more small prizes; I rounded each number to the nearest ten. 4 is less than 5 so I rounded 364 down to 360. 8 is greater than 5 so I rounded 248 up to 250. Then I subtracted the rounded numbers. 360 250 110.
The drawing shows that the two parts make up the whole. So you can add the parts together to get the whole, or you can subtract one of the parts from the whole and get the other part. The drawing shows this fact family: 7 11 18, 11 7 18, 18 11 7, 18 7 11.
See below.
11PartPart
Name
© P
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Topi
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52 Topic 3
Topic 3Performance Assessment
Mrs. Carlton is in charge of the school carnival. She bought all the items shown on the shopping list.
1. Meg used 6 of the poster board sheets to makesigns for the carnival. How many sheets ofposter board are left? On a separate piece ofpaper, draw and label a picture and write anumber sentence to explain.
2. There are 75 tickets on each roll of tickets.The first hour of the carnival, 30 tickets weresold from one roll. Use mental math to find howmany tickets were left on the roll. Explain your thinking.
3. Miguel used all the balloons to decorate the booths.But 18 of the balloons broke when he blew them up.Use mental math to find how many balloons did not break.Then explain your thinking.
4. Estimate how many more small prizes were bought than large prizes. Explain the method you used to estimate.
5. Complete this drawing. Explain how it showshow addition and subtraction are related. Then write a fact family for the drawing.
28422_052.indd 52 3/14/08 1:13:10 PM
