Download 1. Celia used an addition expression to find 6 5. Which expression

Name
© Pearson Education, Inc. 4
2. The Perez family is driving to visit
relatives. The trip is 184 miles,
and they have driven 48 miles.
How many more miles do they
need to travel?
A 142 miles
B 136 miles
C 128 miles
D 112 miles
3. Los Angeles is one of the largest
cities in the United States. The
population of Houston is less
than Los Angeles. Chicago has a
population greater than Houston,
but less than Los Angeles. Phoenix
has fewer people than Houston.
Which lists the population of the
cities from greatest to least?
A Chicago, Los Angeles,
Houston, Phoenix
B Los Angeles, Houston,
Phoenix, Chicago
C Los Angeles, Chicago,
Houston, Phoenix
D Los Angeles, Phoenix,
Chicago, Houston
3-1
4. What is the value of the 4
in 541,000?
5. Order the numbers from least
to greatest.
146,552 145,525 145,552
6. Compare. Use #, $, or %.
345,765
387,328
7. Una put the same amount of
carnations into 4 vases. If you use
a total of 32 carnations, how many
are in each vase?
8. Look for a pattern and write the
missing numbers.
2, 8, 14, 20, 26,
,
,
Topic 3
28443_ANC-NATGR4_T3-1_working.in25 25
Daily Spiral Review
3-1
1. Celia used an addition expression
to find 6 ! 5. Which expression did
she use?
A 5"5"5
B 5"5"5"5"6
C 5"5"5"5"5"5
D 5"5"5"5"5
Daily Spiral Review
25
2/21/08 11:41:01 AM
Name
© Pearson Education, Inc. 4
2. The Perez family is driving to visit
relatives. The trip is 184 miles,
and they have driven 48 miles.
How many more miles do they
need to travel?
A 142 miles
B 136 miles
C 128 miles
D 112 miles
3. Los Angeles is one of the largest
cities in the United States. The
population of Houston is less
than Los Angeles. Chicago has a
population greater than Houston,
but less than Los Angeles. Phoenix
has fewer people than Houston.
Which lists the population of the
cities from greatest to least?
A Chicago, Los Angeles,
Houston, Phoenix
B Los Angeles, Houston,
Phoenix, Chicago
C Los Angeles, Chicago,
Houston, Phoenix
D Los Angeles, Phoenix,
Chicago, Houston
3-1
4. What is the value of the 4
in 541,000?
forty thousand
5. Order the numbers from least
to greatest.
146,552 145,525 145,552
145,525; 145,552;
146,552
6. Compare. Use #, $, or %.
345,765
387,328
#
7. Una put the same amount of
carnations into 4 vases. If you use
a total of 32 carnations, how many
are in each vase?
There are 8 carnations
in each vase.
8. Look for a pattern and write the
missing numbers.
2, 8, 14, 20, 26,
32, 38, 44
Topic 3
28443_ANC-NATGR4_T3-1_working.in25 25
Daily Spiral Review
3-1
1. Celia used an addition expression
to find 6 ! 5. Which expression did
she use?
A 5"5"5
B 5"5"5"5"6
C 5"5"5"5"5"5
D 5"5"5"5"5
Daily Spiral Review
25
2/21/08 11:40:04 AM
26
Nat_AncTopic_3.indb 26
Problem of the Day 3-1
Topic 3
Problem
of the
Day
3-1
Write a number sentence
and solve.
3-1
1/31/08 11:09:21 AM
© Pearson Education, Inc. 4
Problem of the Day
Antonio had $134 in his
savings account. He put in
$67 more. How much was in
Antonio’s account then?
Name
1. Which of the following is the
correct multiplication sentence for
4 ! 4 ! 4 ! 4 ! 4 ! 4?
A 4 " 4 # 16
Quick Check
3-1
2. Which of the following shows the
correct array for a multiplication
sentence for 3 ! 3 ! 3 ! 3?
A
Quick Check
Check 3-1
3-1
Quick
B 4 " 5 # 20
C 6 " 4 # 24
D 8 " 3 # 24
B
C
D
© Pearson Education, Inc. 4
3. Writing to Explain Draw an array using Xs to write a
multiplication sentence and an addition sentence that you
could use to show how 12 juice boxes could be arranged.
Topic 3
Nat_AncTopic_3.indb 27
27
1/31/08 11:09:22 AM
Name
1. Which of the following is the
correct multiplication sentence for
4 ! 4 ! 4 ! 4 ! 4 ! 4?
A 4 " 4 # 16
Quick Check
3-1
2. Which of the following shows the
correct array for a multiplication
sentence for 3 ! 3 ! 3 ! 3?
A
Quick Check
Check 3-1
3-1
Quick
B 4 " 5 # 20
C 6 " 4 # 24
D 8 " 3 # 24
B
C
D
3. Writing to Explain Draw an array using Xs to write a
multiplication sentence and an addition sentence that you
could use to show how 12 juice boxes could be arranged.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 3
Nat_AncTopic_3.indb 27
27
1/31/08 2:33:00 PM
Name
Reteaching
Meanings of Multiplication
3-1
Addition sentence:
5 ! 5 ! 5 ! 5 " 20
Multiplication sentence:
Reteaching 3-1
4 # 5 " 20
There are 4 rows of 5.
There are 3 boxes. There are 7 books in each box.
Addition sentence:
WWW
WW WWWW
WWW WWW
WWW
WWWW WW
WWW WWW
WW WW WWW
WWW
WW WWWW
WWW WWW
WWW
WWWW WW
WWW WWW
WW WW WWW
WWW
WW WWWW
WWW WWW
WWW
WWWW WW
WWW WWW
WW WW WWW
7 ! 7 ! 7 " 21
There are 3 groups of 7.
Multiplication sentence:
3 # 7 " 21
Write an addition sentence and a multiplication sentence for
each picture.
1.
2.
Write a multiplication sentence for each addition sentence.
3. 10 ! 10 ! 10 ! 10 " 40
5. Number Sense Explain how multiplication can help you find
6 ! 6 ! 6.
28
Nat_AncTopic_3.indb 28
© Pearson Education, Inc. 4
4. 3 ! 3 ! 3 ! 3 ! 3 ! 3 " 18
Topic 3
1/31/08 11:09:24 AM
Name
Reteaching
Meanings of Multiplication
3-1
Addition sentence:
5 ! 5 ! 5 ! 5 " 20
Multiplication sentence:
Reteaching 3-1
4 # 5 " 20
There are 4 rows of 5.
There are 3 boxes. There are 7 books in each box.
Addition sentence:
WWW
WW WWWW
WWW WWW
WWW
WWWW WW
WWW WWW
WW WW WWW
WWW
WW WWWW
WWW WWW
WWW
WWWW WW
WWW WWW
WW WW WWW
WWW
WW WWWW
WWW WWW
WWW
WWWW WW
WWW WWW
WW WW WWW
7 ! 7 ! 7 " 21
Multiplication sentence:
There are 3 groups of 7.
3 # 7 " 21
Write an addition sentence and a multiplication sentence for
each picture.
1.
6 ! 6 ! 6 " 18; 3 # 6 " 18
4 ! 4 ! 4 " 12; 3 # 4 " 12 or
3 ! 3 ! 3 ! 3 " 12; 4 # 3 " 12
2.
Write a multiplication sentence for each addition sentence.
4. 3 ! 3 ! 3 ! 3 ! 3 ! 3 " 18
4 # 10 " 40
6 # 3 " 18
5. Number Sense Explain how multiplication can help you find
6 ! 6 ! 6.
3 # 6 " 18
28
Nat_AncTopic_3.indb 28
© Pearson Education, Inc. 4
3. 10 ! 10 ! 10 ! 10 " 40
Topic 3
1/31/08 2:33:02 PM
Name
Practice
3-1
Meanings of Multiplication
Write an addition sentence and a multiplication sentence for the picture.
1.
Practice 3-1
Write a multiplication sentence for each addition sentence.
2. 4 ! 4 ! 4 ! 4 " 16
3. 10 ! 10 ! 10 ! 10 ! 10 ! 10 " 60
4. Number Sense How could you use multiplication to find 7 ! 7 ! 7?
5. A classroom desk has 4 legs. How many legs do
5 desks have altogether?
6. Danielle planted 3 seeds in 6 different pots.
How many seeds did she plant?
7. Which is the multiplication sentence for 2 ! 2 ! 2 ! 2?
A 4 # 4 " 16
B 2#2"4
C 4#2"8
D 2 # 6 " 12
© Pearson Education, Inc. 4
8. Writing to Explain Explain how you can use multiplication
to find 2 ! 2 ! 2 ! 2.
Topic 3
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29
1/31/08 11:09:27 AM
Name
Practice
3-1
Meanings of Multiplication
Write an addition sentence and a multiplication sentence for the picture.
1.
Practice 3-1
10 # 10 # 10 " 30; 3 ! 10 " 30
Write a multiplication sentence for each addition sentence.
2. 4 ! 4 ! 4 ! 4 " 16
3. 10 ! 10 ! 10 ! 10 ! 10 ! 10 " 60
4 ! 4 " 16
6 ! 10 " 60
4. Number Sense How could you use multiplication to find 7 ! 7 ! 7?
3 ! 7 " 21
5. A classroom desk has 4 legs. How many legs do
5 desks have altogether?
20 legs
6. Danielle planted 3 seeds in 6 different pots.
How many seeds did she plant?
18 seeds
7. Which is the multiplication sentence for 2 ! 2 ! 2 ! 2?
A 4 # 4 " 16
B 2#2"4
C 4#2"8
D 2 # 6 " 12
© Pearson Education, Inc. 4
8. Writing to Explain Explain how you can use multiplication
to find 2 ! 2 ! 2 ! 2.
Sample answer: Multiplication can be
used to find the total. I know there are
4 equal groups and there are 2 in each
group. 4 ! 2 " 8
Topic 3
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29
1/31/08 2:33:04 PM
Name
Enrichment
3-1
Hurray Array!
Visual Thinking
You can demonstrate multiplication by showing objects in an
array. There are two ways to set up an array with two factors.
Enrichment 3-1
For each array given, create a different array that shows the same
factors. Then write the multiplication sentence for each picture.
1.
"
2.
"
There are at least two arrays for any product: the product ! 1 and
1 ! the product. Sometimes there are other possible arrays for
a product.
3. Draw the other array for the product 25.
Write the multiplication sentence.
4. Draw the other array for the product 9.
Write the multiplication sentence.
Sometimes there are several different arrays that can be drawn for a product.
© Pearson Education, Inc. 4
5. Draw an array for the product 28 that is not 28 ! 1, 1 ! 28,
7 ! 4, or 4 ! 7. Write the multiplication sentence for your array.
30
Nat_AncTopic_3.indb 30
Topic 3
1/31/08 11:09:28 AM
Name
Enrichment
3-1
Hurray Array!
Visual Thinking
You can demonstrate multiplication by showing objects in an
array. There are two ways to set up an array with two factors.
Enrichment 3-1
For each array given, create a different array that shows the same
factors. Then write the multiplication sentence for each picture.
1.
"
2.
"
For 1–5,
check
students’
arrays.
4 ! 6 " 24
6 ! 4 " 24
3 ! 6 " 18
6 ! 3 " 18
There are at least two arrays for any product: the product ! 1 and
1 ! the product. Sometimes there are other possible arrays for
a product.
3. Draw the other array for the product 25.
Write the multiplication sentence.
5 ! 5 " 25
4. Draw the other array for the product 9.
Write the multiplication sentence.
3!3"9
Sometimes there are several different arrays that can be drawn for a product.
5. Draw an array for the product 28 that is not 28 ! 1, 1 ! 28,
7 ! 4, or 4 ! 7. Write the multiplication sentence for your array.
© Pearson Education, Inc. 4
14 ! 2 " 28 or 2 ! 14 " 28
30
Nat_AncTopic_3.indb 30
Topic 3
1/31/08 2:33:05 PM
Name
1. Which number is fifty-three
thousand, one hundred thirteen?
A 530,113
B 53,130
C 53,113
D 5,313
© Pearson Education, Inc. 4
3. Georgia made $123 mowing
lawns over the past four weeks.
Sidney made $96 mowing lawns
over the same amount of time.
How much money did they
make altogether?
A $219
B $223
C $239
D $242
3-2
5. Ike wants to run 1,000 laps around
a track in three months. Ike has
already run 438 laps. How many
more laps does he have left to
meet his goal?
6. Look for a pattern. Write the next
three numbers.
5, 9, 13, 17,
,
,
7. Carol, Ana, Gloria, and Luz are
standing in a line. Gloria is first. Luz
is not last and is ahead of Carol.
Ana is behind Gloria and Carol. In
what order are the girls in line?
Daily Spiral Review
3-2
2. The Electronic Experts store sold
8,124 computers last year. The
store also sold 2,336 printers. How
many computers and printers did
the store sell last year?
A 10,460
B 10,640
C 10,840
D 10,940
Daily Spiral Review
8. James has 8 model cars. Rita
and James have 17 model cars
altogether. How many model cars
does Rita have?
4. Which numbers are written in order
from least to greatest?
A 423, 415, 430, 402
B 430, 423, 415, 402
C 415, 402, 430, 423
D 402, 415, 423, 430
Topic 3
Nat_AncTopic_3.indb 31
31
1/31/08 11:09:29 AM
Name
1. Which number is fifty-three
thousand, one hundred thirteen?
A 530,113
B 53,130
C 53,113
D 5,313
© Pearson Education, Inc. 4
3. Georgia made $123 mowing
lawns over the past four weeks.
Sidney made $96 mowing lawns
over the same amount of time.
How much money did they
make altogether?
A $219
B $223
C $239
D $242
3-2
5. Ike wants to run 1,000 laps around
a track in three months. Ike has
already run 438 laps. How many
more laps does he have left to
meet his goal?
562 laps
6. Look for a pattern. Write the next
three numbers.
5, 9, 13, 17,
21, 25, 29
7. Carol, Ana, Gloria, and Luz are
standing in a line. Gloria is first. Luz
is not last and is ahead of Carol.
Ana is behind Gloria and Carol. In
what order are the girls in line?
Daily Spiral Review
3-2
2. The Electronic Experts store sold
8,124 computers last year. The
store also sold 2,336 printers. How
many computers and printers did
the store sell last year?
A 10,460
B 10,640
C 10,840
D 10,940
Daily Spiral Review
Gloria, Luz,
Carol, Ana
8. James has 8 model cars. Rita
and James have 17 model cars
altogether. How many model cars
does Rita have?
9 model cars
4. Which numbers are written in order
from least to greatest?
A 423, 415, 430, 402
B 430, 423, 415, 402
C 415, 402, 430, 423
D 402, 415, 423, 430
Topic 3
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31
1/31/08 2:33:06 PM
32
Topic 3
28443_ANC-NATGR4_T3-2_working.in32 32
Problem of the Day 3-2
Problem
of the
Day
3-2
3-2
2/21/08 12:04:48 PM
© Pearson Education, Inc. 4
Problem of the Day
The country of Indonesia is a group
of islands between Asia and Australia.
It has an area of 704,400 square
miles and has a population of
241,973,880 people. Write the word
form for each number.
Name
Quick Check
3-2
1. Which number comes next in the pattern?
57, 66, 75, 84,
.
A 88
B 93
C 97
D 104
Quick Check 3-2
2. Look at the display below. What is the product
for this array?
A 32
B 40
C 48
D 56
© Pearson Education, Inc. 4
3. Writing to Explain Seven people each brought two chairs
to a family picnic. How many chairs will there be altogether
if another person does the same?
Topic 3
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33
1/31/08 11:09:31 AM
Name
Quick Check
3-2
1. Which number comes next in the pattern?
57, 66, 75, 84,
.
A 88
B 93
C 97
D 104
Quick Check 3-2
2. Look at the display below. What is the product
for this array?
A 32
B 40
C 48
D 56
3. Writing to Explain Seven people each brought two chairs
to a family picnic. How many chairs will there be altogether
if another person does the same?
© Pearson Education, Inc. 4
See student samples to the right.
Topic 3
Nat_AncTopic_3.indb 33
33
1/31/08 2:33:08 PM
Name
Reteaching
3-2
Reteaching 3-2
Patterns for Facts
Pattern
Example
All multiples of two are even numbers.
2, 18, 44
All multiples of 5 end in 0 or 5.
25, 100, 220
For all multiples of nine, the sum of
the digits is always a multiple of 9.
27 2 ! 7 " 9
63 6 ! 3 " 9
1.
9
# 5
2.
2
# 8
3.
5
# 8
4.
9
# 4
5.
9
# 3
6.
2
# 7
7.
5
# 3
8.
5
# 6
9.
9
# 2
10.
5
# 7
11.
6
# 3
12.
2
# 6
13. How many baseball cards are
in 4 packages?
14. How many stickers do you
get if you buy 9 packages?
Item
Number in Package
Baseball cards
5
Stickers
2
Coupons
9
© Pearson Education, Inc. 4
15. How many coupons do you get if you buy
7 packages?
34
Nat_AncTopic_3.indb 34
Topic 3
1/31/08 11:09:32 AM
Name
Reteaching
3-2
Reteaching 3-2
Patterns for Facts
Pattern
Example
All multiples of two are even numbers.
2, 18, 44
All multiples of 5 end in 0 or 5.
25, 100, 220
For all multiples of nine, the sum of
the digits is always a multiple of 9.
27 2 ! 7 " 9
63 6 ! 3 " 9
1.
9
# 5
2.
9
# 3
6.
9
# 2
10.
45
5.
18
3.
2
# 7
7.
5
# 7
11.
16
27
9.
2
# 8
14. How many stickers do you
get if you buy 9 packages?
5
# 3
8.
6
# 3
12.
18
Item
9
# 4
36
15
35
20
4.
40
14
13. How many baseball cards are
in 4 packages?
5
# 8
5
# 6
30
2
# 6
12
Number in Package
Baseball cards
5
Stickers
2
Coupons
9
18
15. How many coupons do you get if you buy
7 packages?
© Pearson Education, Inc. 4
63
34
Nat_AncTopic_3.indb 34
Topic 3
1/31/08 2:33:09 PM
Name
Practice
3-2
Patterns for Facts
1.
5
! 4
2.
2
! 3
3.
9
! 7
4.
5
! 2
5.
8
! 2
6.
5
! 3
7.
9
! 8
8.
9
! 4
10. 2 ! 7 "
Practice 3-2
9. 9 ! 6 "
11. 5 ! 5 "
Algebra Find the missing number.
12.
! 9 " 45
13. 2 !
" 14
14. A package of baseball cards includes
5 cards. How many baseball cards are
in 5 packages?
15. What is the value of the missing number?
9!
" 36
A 6
B 4
C 3
D 2
© Pearson Education, Inc. 4
16. Writing to Explain Milton needs to find the product of two
numbers. One of the numbers is 9. The answer also needs to
be 9. How will he solve this problem? Explain.
Topic 3
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35
1/31/08 11:09:33 AM
Name
Practice
3-2
Patterns for Facts
1.
2.
5
! 4
2
! 3
6
20
5.
3.
6.
8
! 2
16
5
! 3
63
7.
15
54
10. 2 ! 7 "
10
8.
9
! 8
72
14
5
! 2
11.
9
! 4
36
5 ! 5 " 25
Practice 3-2
9. 9 ! 6 "
4.
9
! 7
Algebra Find the missing number.
12.
5
13. 2 !
! 9 " 45
7
" 14
14. A package of baseball cards includes
5 cards. How many baseball cards are
in 5 packages?
25 baseball cards
15. What is the value of the missing number?
9!
" 36
A 6
B 4
C 3
D 2
© Pearson Education, Inc. 4
16. Writing to Explain Milton needs to find the product of two
numbers. One of the numbers is 9. The answer also needs to
be 9. How will he solve this problem? Explain.
Sample answer: Milton will multiply
9 ! 1 " 9. The product of any number
and 1 equals that number.
Topic 3
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35
1/31/08 2:33:10 PM
Name
Enrichment
3-2
Patterns, Patterns, Everywhere
Patterns
Complete each pattern and write the rule for the pattern you find.
Hint: The pattern may involve more than one operation.
For example, the numbers 2, 4, 16, 32, 128 form a pattern of
multiplying by 2, then multiplying by 4.
Pattern Rule
Enrichment 3-2
1.
2
4
8
16
5
10
50
100
500
1
9
9
81
81
7
0
0
0
5
5
25
25
125
1
1
2
6
24
2.
3.
4.
5.
6.
© Pearson Education, Inc. 4
7. Although a single starfish may have as many as 44 arms,
we are most familiar with starfish that have 5 arms. Write a
number pattern for 6 starfish if each had 5 arms. How many
arms would those starfish have in all?
36
Nat_AncTopic_3.indb 36
Topic 3
1/31/08 11:09:34 AM
Name
Enrichment
3-2
Patterns, Patterns, Everywhere
Patterns
Complete each pattern and write the rule for the pattern you find.
Hint: The pattern may involve more than one operation.
For example, the numbers 2, 4, 16, 32, 128 form a pattern of
multiplying by 2, then multiplying by 4.
Pattern Rule
Enrichment 3-2
1.
2
4
8
16
32
5
10
50
100
500
1
9
9
81
81
7
0
0
0
0
5
5
25
25
125
1
1
2
6
24
2.
3.
4.
5.
6.
64 ! 2
1,000
729
! 2, ! 5
! 9, ! 1
!0
0
125
120
! 1, ! 5
! 1, ! 2,
! 3, ! 4 . . .
5, 10, 15, 20, 25, 30;
30 arms
36
Nat_AncTopic_3.indb 36
© Pearson Education, Inc. 4
7. Although a single starfish may have as many as 44 arms,
we are most familiar with starfish that have 5 arms. Write a
number pattern for 6 starfish if each had 5 arms. How many
arms would those starfish have in all?
Topic 3
1/31/08 2:33:11 PM
Name
1. Ronni estimated the sum of 5,823
and 863 by rounding each number
to the nearest hundred and then
adding. What was Ronni’s estimate
for 5,823 ! 863?
A 6,700
B 7,000
C 7,200
D 7,600
© Pearson Education, Inc. 4
3. A CD case holds 9 CDs. Randall
has 9 CD cases. How many CDs
are there in all?
A 18
B 54
C 81
D 100
3-3
5. Write a number pattern for
8 starfish if each has 5 arms.
6. What number does the art
below show?
7. Kyle counted 9 windows on the
first floor of a building that has
6 floors. Each floor has about
the same number of windows.
Estimate the number of windows in
the building.
Daily Spiral Review
3-3
2. A grocery store had 176 cans
of green beans on the shelf on
Monday. By Friday, 37 cans had
been sold. How many cans were
left? Use mental math to subtract.
A 127
B 139
C 143
D 151
Daily Spiral Review
8. The printer sent 4,200 newspapers
for delivery one day. How many
boxes of newspapers would there
be if the newspapers were packed
in groups of one hundred?
4. There are 12 rows of seats in a
section of an auditorium, and
9 seats per row. How many seats
are there in all?
A 21
B 99
C 108
D 109
Topic 3
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37
1/31/08 11:09:36 AM
Name
1. Ronni estimated the sum of 5,823
and 863 by rounding each number
to the nearest hundred and then
adding. What was Ronni’s estimate
for 5,823 ! 863?
A 6,700
B 7,000
C 7,200
D 7,600
© Pearson Education, Inc. 4
3. A CD case holds 9 CDs. Randall
has 9 CD cases. How many CDs
are there in all?
A 18
B 54
C 81
D 100
3-3
5. Write a number pattern for
8 starfish if each has 5 arms.
5, 10, 15, 20, 25,
30, 35, 40
6. What number does the art
below show?
238
7. Kyle counted 9 windows on the
first floor of a building that has
6 floors. Each floor has about
the same number of windows.
Estimate the number of windows in
the building.
Daily Spiral Review
3-3
2. A grocery store had 176 cans
of green beans on the shelf on
Monday. By Friday, 37 cans had
been sold. How many cans were
left? Use mental math to subtract.
A 127
B 139
C 143
D 151
Daily Spiral Review
60 windows
8. The printer sent 4,200 newspapers
for delivery one day. How many
boxes of newspapers would there
be if the newspapers were packed
in groups of one hundred?
42 boxes
4. There are 12 rows of seats in a
section of an auditorium, and
9 seats per row. How many seats
are there in all?
A 21
B 99
C 108
D 109
Topic 3
Nat_AncTopic_3.indb 37
37
1/31/08 2:33:12 PM
38
Nat_AncTopic_3.indb 38
Problem
Problem of
of the
the Day
Day 3-3
3-3
Topic 3
Problem
of the
Day
3-3
1/31/08 11:09:37 AM
© Pearson Education, Inc. 4
Problem of the Day
In which step will the number
200,000 appear? (Hint: Look for
a pattern.)
Step 1: 194,000
Step 2: 195,000
Step 3: 196,000; and so on.
3-3
Name
Quick Check
3-3
1. Which property is best represented
by the display below?
!!!
3 groups of 0
A Zero Property of Multiplication
B Commutative Property
of Addition
2. Which of the following is the
missing number?
!6"6
A 6
B 2
C 1
D 0
Quick Check 3-3
C Commutative Property
of Multiplication
D Identity Property
of Multiplication
© Pearson Education, Inc. 4
3. Writing to Explain Briefly explain the Commutative Property
of Multiplication. Write a number sentence that shows
this property.
Topic 3
Nat_AncTopic_3.indb 39
39
1/31/08 11:09:39 AM
Name
Quick Check
3-3
1. Which property is best represented
by the display below?
!!!
3 groups of 0
A Zero Property of Multiplication
B Commutative Property
of Addition
2. Which of the following is the
missing number?
!6"6
A 6
B 2
C 1
D 0
Quick Check 3-3
C Commutative Property
of Multiplication
D Identity Property
of Multiplication
3. Writing to Explain Briefly explain the Commutative Property
of Multiplication. Write a number sentence that shows
this property.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 3
Nat_AncTopic_3.indb 39
39
1/31/08 2:33:15 PM
Name
Reteaching
Multiplication Properties
3-3
You can use the Properties of Multiplication to help you find
products.
Commutative Property of Multiplication:
You can multiply any two numbers in any order.
2!3"3!2
Identity Property of Multiplication
When you multiply any number by 1, the product is that number.
Reteaching 3-3
7!1"7
Zero Property of Multiplication
When you multiply any number by 0, the product is also 0.
3!0"0
1. 7 ! 3 " 3 !
2. 4 ! 0 "
3. 5 ! 4 " 4 !
4. 2 ! 1 "
5. 0 ! 7 "
6. 8 ! 3 " 3 !
7. 9 ! 1 " 1 !
8. 1 ! 5 "
10. Writing to Explain Explain how you know that in
? ! 6,273 " 6,273, the ? will be 1.
40
Nat_AncTopic_3.indb 40
© Pearson Education, Inc. 4
9. Number Sense How do you know that 35 ! 5 " 5 ! 35
without finding products?
Topic 3
1/31/08 11:09:39 AM
Name
Reteaching
3-3
Multiplication Properties
You can use the Properties of Multiplication to help you find
products.
Commutative Property of Multiplication:
You can multiply any two numbers in any order.
2!3"3!2
Identity Property of Multiplication
When you multiply any number by 1, the product is that number.
Reteaching 3-3
7!1"7
Zero Property of Multiplication
When you multiply any number by 0, the product is also 0.
3!0"0
1. 7 ! 3 " 3 !
3. 5 ! 4 " 4 !
5. 0 ! 7 "
7. 9 ! 1 " 1 !
7
5
0
9
2. 4 ! 0 "
4. 2 ! 1 "
6. 8 ! 3 " 3 !
8. 1 ! 5 "
0
2
8
5
9. Number Sense How do you know that 35 ! 5 " 5 ! 35
without finding products?
10. Writing to Explain Explain how you know that in
? ! 6,273 " 6,273, the ? will be 1.
Sample answer: Any number multiplied
by 1 is that number.
40
Nat_AncTopic_3.indb 40
© Pearson Education, Inc. 4
The Commutative Property of
Multiplication states the product is the
same regardless of the order in which
the two numbers are multiplied.
Topic 3
1/31/08 2:33:16 PM
Name
Practice
3-3
Multiplication Properties
1.
!
0
4
!
1
8
5.
2.
!
1
3
!
3
0
6.
9. 1 ! 1 "
3.
!
7
1
!
4
1
7.
4.
!
5
0
!
6
0
8.
10. 9 ! 0 "
11. 0 ! 0 "
Practice 3-3
Algebra Find the missing number.
12.
!9"0
13. 1 !
"4
14. Ray has 4 boxes with 5 pens in each box. Kevin has 5 boxes with 4 pens in
each. Who has more pens?
15. Which property can help you find the missing number?
!9"0
© Pearson Education, Inc. 4
16. Writing to Explain Steve needs to find the product of two numbers. One
of the numbers is 6. The answer also needs to be 6. How will you solve this
problem? Explain.
Topic 3
Nat_AncTopic_3.indb 41
41
1/31/08 11:09:41 AM
Name
Practice
3-3
Multiplication Properties
1.
!
5.
!
2.
0
4
!
0
6.
1
8
!
8
9. 1 ! 1 "
11. 0 ! 0 "
1
0
1
3
3
3
0
0
3.
!
7.
!
4.
7
1
!
7
8.
4
1
4
10. 9 ! 0 "
!
0
5
0
0
6
0
0
Practice 3-3
Algebra Find the missing number.
12.
0
!9"0
13. 1 !
4
"4
14. Ray has 4 boxes with 5 pens in each box. Kevin has 5 boxes with 4 pens in
each. Who has more pens?
They have the same number of pens,
because 4 ! 5 " 5 ! 4.
15. Which property can help you find the missing number?
Zero Property of Multiplication
!9"0
16. Writing to Explain Steve needs to find the product of two numbers. One
of the numbers is 6. The answer also needs to be 6. How will you solve this
problem? Explain.
© Pearson Education, Inc. 4
Sample answer: Steve will multiply
6 ! 1 " 6. The product of any number
and 1 equals that number.
Topic 3
Nat_AncTopic_3.indb 41
41
1/31/08 2:33:17 PM
Name
Enrichment
How Does Your Garden Grow?
Area is the name for the number of square units that are in a
given space. You can figure out the area of a rectangle as you
would an array. You can also break apart a rectangle to form
different combinations and still have the same area.
3-3
Visual Thinking
Enrichment
Enrichment 3-3
3-3
Here is Mary’s garden: 4 ! 6 = 24 square units.
Draw lines and write the first letter of the flower to show several
possible planting plans.
1.
2.
2 6 tulips
2 4 roses
2 2 marigolds
4 4 tulips
2 2 roses
2 2 marigolds
4.
3.
4 5 tulips
3 1 roses
1 1 marigolds
© Pearson Education, Inc. 4
3 4 tulips
1 6 roses
3 2 marigolds
42
Nat_AncTopic_3.indb 42
Topic 3
1/31/08 11:09:42 AM
Name
Enrichment
3-3
How Does Your Garden Grow?
Area is the name for the number of square units that are in a
given space. You can figure out the area of a rectangle as you
would an array. You can also break apart a rectangle to form
different combinations and still have the same area.
Visual Thinking
Enrichment
Enrichment 3-3
3-3
Here is Mary’s garden: 4 ! 6 = 24 square units.
Sample answers given.
Draw lines and write the first letter of the flower to show several
possible planting plans.
1.
2.
T
R
R
T
M
2 6 tulips
2 4 roses
2 2 marigolds
M
4 4 tulips
2 2 roses
2 2 marigolds
4.
3.
T
M
R
R
M
4 5 tulips
3 1 roses
1 1 marigolds
© Pearson Education, Inc. 4
3 4 tulips
1 6 roses
3 2 marigolds
T
42
Nat_AncTopic_3.indb 42
Topic 3
1/31/08 2:33:18 PM
Name
Daily Spiral Review
3-4
5. Michael has a marble collection.
On Monday, he gave 17 marbles
to Lily. On Tuesday, he gave
10 marbles to Jose. On Wednesday,
Michael had 34 marbles left in his
collection. How many marbles did
Michael have to start?
2. Mateo, Andrea, and Louis have
18 apples altogether. If they
each have the same number of
apples, how many apples do they
each have?
A 3
B 5
C 6
D 18
6. Karen organized her butterfly
pins into 4 groups. Each group
has 6 pins in it. How many pins
does Karen have altogether?
Write a number sentence to
solve the problem.
Daily Spiral Review
3-4
1. There are 402 students at
Bakerville Elementary School.
There are 366 students at
Austintown Elementary School.
How many more students are
at Bakerville?
A 26
B 36
C 42
D 46
7. Paul has the following coins. How
much money does he have?
© Pearson Education, Inc. 4
3. Which is the word form for the
number 7,077?
A Seven thousand, seven
B Seven thousand, seventy
C Seven thousand, seventy-seven
D Seven thousand, seven hundred
seven
4. Which digit is in the thousands
place in the number 39,271?
A 1
B 3
C 7
D 9
8. Look at the drawing below. What is
a number sentence for the array?
Topic 3
Nat_AncTopic_3.indb 43
43
1/31/08 11:09:44 AM
Name
Daily Spiral Review
3-4
1. There are 402 students at
Bakerville Elementary School.
There are 366 students at
Austintown Elementary School.
How many more students are
at Bakerville?
A 26
B 36
C 42
D 46
5. Michael has a marble collection.
On Monday, he gave 17 marbles
to Lily. On Tuesday, he gave
10 marbles to Jose. On Wednesday,
Michael had 34 marbles left in his
collection. How many marbles did
Michael have to start?
2. Mateo, Andrea, and Louis have
18 apples altogether. If they
each have the same number of
apples, how many apples do they
each have?
A 3
B 5
C 6
D 18
6. Karen organized her butterfly
pins into 4 groups. Each group
has 6 pins in it. How many pins
does Karen have altogether?
Write a number sentence to
solve the problem.
61 marbles
7. Paul has the following coins. How
much money does he have?
© Pearson Education, Inc. 4
3. Which is the word form for the
number 7,077?
A Seven thousand, seven
B Seven thousand, seventy
C Seven thousand, seventy-seven
D Seven thousand, seven hundred
seven
4. Which digit is in the thousands
place in the number 39,271?
A 1
B 3
C 7
D 9
$0.56
8. Look at the drawing below. What is
a number sentence for the array?
3 ! 4 " 12
Topic 3
Nat_AncTopic_3.indb 43
Daily Spiral Review
3-4
24 pins; 4 ! 6 " 24
43
1/31/08 2:33:19 PM
44
Nat_AncTopic_3.indb 44
Problem of the Day 3-4
Topic 3
Problem
of the
Day
3-4
Write three number
sentences that have
a product of 12.
3-4
Problem of the Day
1/31/08 11:09:45 AM
© Pearson Education, Inc. 4
Name
Quick Check
3-4
1. 5 ! 4 " (5 ! 1) # (5 ! __ ) " 20
A 2
B 3
C 4
D 5
2. 4 ! 8 " (4 ! 2) # (4 ! __ ) " 32
A 2
B 4
C 6
Quick Check 3-4
D 8
© Pearson Education, Inc. 4
3. Writing to Explain Roberto has 30 pennies. He puts the
pennies in 6 groups of 5 pennies. This can be written as
6 ! 5 " 30. Break this into 2 simpler multiplications.
Explain how these simpler multiplications are another way
that Roberto can group his pennies.
Topic 3
Nat_AncTopic_3.indb 45
45
1/31/08 11:09:46 AM
Name
Quick Check
3-4
1. 5 ! 4 " (5 ! 1) # (5 ! __ ) " 20
A 2
B 3
C 4
D 5
2. 4 ! 8 " (4 ! 2) # (4 ! __ ) " 32
A 2
B 4
C 6
Quick Check 3-4
D 8
3. Writing to Explain Roberto has 30 pennies. He puts the
pennies in 6 groups of 5 pennies. This can be written as
6 ! 5 " 30. Break this into 2 simpler multiplications.
Explain how these simpler multiplications are another way
that Roberto can group his pennies.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 3
Nat_AncTopic_3.indb 45
45
1/31/08 2:33:22 PM
Name
Reteaching
3-4
3 and 4 as Factors
You can use breaking apart to find a product.
Find 4 ! 5.
4 groups of 5 are the same as 2 groups of 5 and 2 groups of 5.
2 5 10
Reteaching 3-4
2 5 10
4 ! 5 " (2 ! 5) # (2 ! 5)
" 10 # 10
" 20
Use breaking apart to find each product.
1.
3
! 5
2.
3
! 8
3.
4
! 9
4.
3
! 7
5.
4
! 8
6.
3
! 6
7.
3
! 4
8.
4
! 4
10. 4 ! 9 "
11. 4 ! 8 "
12. 3 ! 9 "
© Pearson Education, Inc. 4
9. 4 ! 6 "
46
Nat_AncTopic_3.indb 46
Topic 3
1/31/08 11:09:47 AM
Name
Reteaching
3-4
3 and 4 as Factors
You can use breaking apart to find a product.
Find 4 ! 5.
4 groups of 5 are the same as 2 groups of 5 and 2 groups of 5.
2 5 10
Reteaching 3-4
2 5 10
4 ! 5 " (2 ! 5) # (2 ! 5)
" 10 # 10
" 20
Use breaking apart to find each product.
1.
2.
3
! 5
15
5.
6.
32
3
! 6
18
24
32
4.
4
! 9
36
7.
21
3
! 4
12
10. 4 ! 9 "
12. 3 ! 9 "
3
! 7
8.
36
27
4
! 4
16
© Pearson Education, Inc. 4
11. 4 ! 8 "
3.
24
4
! 8
9. 4 ! 6 "
3
! 8
46
Nat_AncTopic_3.indb 46
Topic 3
1/31/08 2:33:23 PM
Name
Practice
3-4
3 and 4 as Factors
Use breaking apart to find each product.
1.
3
! 7
2.
4
! 9
3.
3
! 4
4.
4
! 6
5. 4 ! 5 "
6. 3 ! 9 "
7. 3 ! 5 "
8. 3 ! 6 "
9. 4 ! 7 "
10. 3 ! 8 "
Practice 3-4
11. Number Sense Sara traced circle stencils for her project.
She needs 4 rows of 6 circle stencils. She thought that
4 rows of 6 is the same as 3 rows of 8 and 2 rows of 8.
Is this correct? Explain.
12. Which of the following is equal to the product of 3 ! 3?
A 9!1
B 3!1
C 4!2
D 6!3
© Pearson Education, Inc. 4
13. Writing to Explain Explain how the three multiplication
sentences are related.
2 ! 12
3!8
4!6
Topic 3
Nat_AncTopic_3.indb 47
47
1/31/08 11:09:49 AM
Name
Practice
3-4
3 and 4 as Factors
Use breaking apart to find each product.
1.
3
! 7
2.
21
5. 4 ! 5 "
8. 3 ! 6 "
4
! 9
36
20
18
6. 3 ! 9 "
9. 4 ! 7 "
3.
3
! 4
12
27
28
4.
7.
10.
4
! 6
24
3!5"
15
3!8"
24
Practice 3-4
11. Number Sense Sara traced circle stencils for her project.
She needs 4 rows of 6 circle stencils. She thought that
4 rows of 6 is the same as 3 rows of 8 and 2 rows of 8.
Is this correct? Explain.
Sample answer: No, 3 rows of 8 and
2 rows of 8 equal 5 rows of 8, not
4 rows of 6.
12. Which of the following is equal to the product of 3 ! 3?
A 9!1
B 3!1
C 4!2
D 6!3
13. Writing to Explain Explain how the three multiplication
sentences are related.
2 ! 12
3!8
4!6
© Pearson Education, Inc. 4
Sample answer:
They all have the same product, 24.
Topic 3
Nat_AncTopic_3.indb 47
47
1/31/08 2:33:24 PM
Name
Enrichment
3-4
Recycling Numbers
Miles and Cynthia participated in a weeklong recycling project.
Cynthia collected 4 cans every day, and Miles collected 3 cans
every day.
Patterns
1. Fill in the table to show how many cans each student has
collected by the end of each day.
Days
1
2
Miles
3
6
Cynthia
4
8
3
4
5
6
7
Enrichment 3-4
2. At the end of the week, how many cans did Cynthia collect?
3. At the end of the week, how many cans had Miles collected?
4. If the pattern had continued for another week, a total of
14 days, how many cans would Cynthia have collected?
How many would Miles have collected?
5. The project was such a success, it was continued for
30 days. Complete the bar graph to compare the total
cans collected by Miles and Cynthia.
Cans Collected After 30 Days
Cynthia
0
48
Nat_AncTopic_3.indb 48
20
40
60
80
100
120
140
© Pearson Education, Inc. 4
Miles
Topic 3
1/31/08 11:09:50 AM
Name
Enrichment
3-4
Recycling Numbers
Miles and Cynthia participated in a weeklong recycling project.
Cynthia collected 4 cans every day, and Miles collected 3 cans
every day.
Patterns
1. Fill in the table to show how many cans each student has
collected by the end of each day.
Days
1
2
Miles
3
6
Cynthia
4
8
3
4
5
6
7
9 12 15 18 21
12 16 20 24 28
2. At the end of the week, how many cans did Cynthia collect?
Enrichment 3-4
Cynthia collected 28 cans.
3. At the end of the week, how many cans had Miles collected?
Miles collected 21 cans.
4. If the pattern had continued for another week, a total of
14 days, how many cans would Cynthia have collected?
How many would Miles have collected?
Cynthia: 56 cans; Miles: 42 cans
5. The project was such a success, it was continued for
30 days. Complete the bar graph to compare the total
cans collected by Miles and Cynthia.
Sample
answer:
Cans Collected After 30 Days
Cynthia
0
48
Nat_AncTopic_3.indb 48
20
40
60
80
100
120
140
© Pearson Education, Inc. 4
Miles
Topic 3
1/31/08 2:33:25 PM
Name
1. Mark, Julia, and Noah each have
5 crackers. How many crackers do
they have altogether?
A 5
B 10
C 15
D 20
© Pearson Education, Inc. 4
3. Lynda wants to buy a new bicycle.
The bicycle she wants costs $306.
So far, she has saved $130. How
much more money does Lynda
need to buy the bicycle?
A $176
B $184
C $234
D $246
3-5
5. Complete the number sentence
and find the product.
5 ! 9 " (5 ! 1) + (5 !
)"
6. Look for a pattern. Write the next
two numbers.
4, 8, 12, 16,
,
7. Maggie, Louisa, Grace, and Donna
are standing in a line. Grace is first.
Donna is not last and is ahead of
Maggie. Louisa is behind Grace
and Maggie. In what order are the
girls in line?
8. Write two number sentences
using 3, 8, and 24 to show
the Commutative Property of
Multiplication.
Daily Spiral Review
3-5
2. At the school bake sale, Ms.
Dorrit’s class sold 57 brownies.
Ms. Temple’s class sold
84 brownies. How many brownies
did they sell altogether?
A 111
B 141
C 147
D 1,311
Daily Spiral Review
4. Which numbers are written in order
from least to greatest?
A 1,287, 1,276, 1270
B 650, 715, 651
C 515, 502, 531
D 802, 815, 830
Topic 3
Nat_AncTopic_3.indb 49
49
1/31/08 11:09:51 AM
Name
1. Mark, Julia, and Noah each have
5 crackers. How many crackers do
they have altogether?
A 5
B 10
C 15
D 20
© Pearson Education, Inc. 4
3. Lynda wants to buy a new bicycle.
The bicycle she wants costs $306.
So far, she has saved $130. How
much more money does Lynda
need to buy the bicycle?
A $176
B $184
C $234
D $246
3-5
5. Complete the number sentence
and find the product.
5 ! 9 " (5 ! 1) + (5 !
45
8
)"
6. Look for a pattern. Write the next
two numbers.
4, 8, 12, 16,
,
20 24
7. Maggie, Louisa, Grace, and Donna
are standing in a line. Grace is first.
Donna is not last and is ahead of
Maggie. Louisa is behind Grace
and Maggie. In what order are the
girls in line?
Grace, Donna,
Maggie, Louisa
8. Write two number sentences
using 3, 8, and 24 to show
the Commutative Property of
Multiplication.
Daily Spiral Review
3-5
2. At the school bake sale, Ms.
Dorrit’s class sold 57 brownies.
Ms. Temple’s class sold
84 brownies. How many brownies
did they sell altogether?
A 111
B 141
C 147
D 1,311
Daily Spiral Review
3 ! 8 " 24,
8 ! 3 " 24
4. Which numbers are written in order
from least to greatest?
A 1,287, 1,276, 1270
B 650, 715, 651
C 515, 502, 531
D 802, 815, 830
Topic 3
Nat_AncTopic_3.indb 49
49
1/31/08 2:33:26 PM
50
Nat_AncTopic_3.indb 50
Problem of the Day 3-5
Topic 3
Problem
of the
Day
3-5
How many items are in an array with
7 columns and 6 rows? Write a
number sentence that uses breaking
apart to find the product.
3-5
Problem of the Day
1/31/08 11:09:52 AM
© Pearson Education, Inc. 4
Name
Quick Check
3-5
Use breaking apart to solve the following.
Circle the letter of the correct answer.
1. 4 ! 7 " (4 ! 2) # (4 !
) " 28
A 2
B 3
C 4
D 5
2. 5 ! 8 " (5 ! 2) # (5 !
) " 40
A 4
B 5
C 6
Quick Check 3-5
D 11
© Pearson Education, Inc. 4
3. Writing to Explain Miranda multiplied 7 ! 7, and it
helped her find the product of 7 ! 8. Draw a picture and
explain what she means.
Topic 3
Nat_AncTopic_3.indb 51
51
1/31/08 11:09:53 AM
Name
Quick Check
3-5
Use breaking apart to solve the following.
Circle the letter of the correct answer.
1. 4 ! 7 " (4 ! 2) # (4 !
) " 28
A 2
B 3
C 4
D 5
2. 5 ! 8 " (5 ! 2) # (5 !
) " 40
A 4
B 5
C 6
Quick Check 3-5
D 11
3. Writing to Explain Miranda multiplied 7 ! 7, and it
helped her find the product of 7 ! 8. Draw a picture and
explain what she means.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 3
Nat_AncTopic_3.indb 51
51
1/31/08 2:33:28 PM
Name
Reteaching
3-5
6, 7, and 8 as Factors
You can use breaking apart to find a product.
Find 8 ! 5.
8 groups of 5 are the same as 2 groups of 5, 2 groups of 5, 2 groups of 5,
and 2 groups of 5.
2 5 10
2 5 10
2 5 10
2 5 10
8 ! 5 " (2 ! 5) # (2 ! 5) # (2 ! 5) # (2 ! 5)
Reteaching 3-5
" 10 # 10 # 10 # 10
" 40
Use breaking apart to find each product.
1.
7
! 5
2.
8
! 3
3.
7
! 9
4.
7
! 7
5.
8
! 4
6.
8
! 8
7.
6
! 3
8.
7
! 4
Compare. Use <, >, or " to fill in each
8!7
10. 7 ! 6
6!6
© Pearson Education, Inc. 4
9. 7 ! 6
.
52
Nat_AncTopic_3.indb 52
Topic 3
1/31/08 11:09:54 AM
Name
Reteaching
3-5
6, 7, and 8 as Factors
You can use breaking apart to find a product.
Find 8 ! 5.
8 groups of 5 are the same as 2 groups of 5, 2 groups of 5, 2 groups of 5,
and 2 groups of 5.
2 5 10
2 5 10
2 5 10
2 5 10
8 ! 5 " (2 ! 5) # (2 ! 5) # (2 ! 5) # (2 ! 5)
Reteaching 3-5
" 10 # 10 # 10 # 10
" 40
Use breaking apart to find each product.
1.
2.
7
! 5
35
5.
8
! 3
24
8
! 4
6.
32
8
! 8
7.
8!7
7
! 7
49
6
! 3
8.
18
7
! 4
28
.
10. 7 ! 6
>
6!6
© Pearson Education, Inc. 4
<
4.
7
! 9
63
64
Compare. Use <, >, or " to fill in each
9. 7 ! 6
3.
52
Nat_AncTopic_3.indb 52
Topic 3
1/31/08 2:33:28 PM
Name
Practice
3-5
6, 7, and 8 as Factors
Use breaking apart to find each product.
1.
7
! 3
2.
8
! 5
3.
4.
8
! 2
6
! 4
5. 6 ! 3 "
6. 8 ! 3 "
7. 7 ! 5 "
8. 6 ! 6 "
9. 6 ! 7 "
10. 7 ! 9 "
11. Number Sense Meghan planted seeds for her project.
She needs 7 rows of 9 seeds. She thought that
7 rows of 9 is the same as 3 rows of 9 and 2 rows of 9.
Is this correct?
Practice 3-5
12. Which of the following is equal to the product of 8 ! 3?
A 7!4
B 6!4
C 6!2
D 8!2
© Pearson Education, Inc. 4
13. Writing to Explain Explain how the three multiplication
sentences are related.
6!2
4!3
12 ! 1
Topic 3
Nat_AncTopic_3.indb 53
53
1/31/08 11:09:55 AM
Name
Practice
3-5
6, 7, and 8 as Factors
Use breaking apart to find each product.
1.
7
! 3
21
18
6 ! 6 " 36
2.
3.
8
! 5
40
4.
8
! 2
16
24
6 ! 7 " 42
5. 6 ! 3 "
6. 8 ! 3 "
8.
9.
7.
10.
6
! 4
24
7 ! 5 " 35
7 ! 9 " 63
11. Number Sense Meghan planted seeds for her project.
She needs 7 rows of 9 seeds. She thought that
7 rows of 9 is the same as 3 rows of 9 and 2 rows of 9.
Is this correct?
Practice 3-5
Sample answer: No, 3 rows of 9 and
2 rows of 9 equal 5 rows of 9, not
7 rows of 9.
12. Which of the following is equal to the product of 8 ! 3?
A 7!4
B 6!4
C 6!2
D 8!2
13. Writing to Explain Explain how the three multiplication
sentences are related.
6!2
4!3
12 ! 1
© Pearson Education, Inc. 4
They all have the same product, 12.
Topic 3
Nat_AncTopic_3.indb 53
53
1/31/08 2:33:30 PM
Name
Enrichment
3-5
Cube Turning
A lettered cube has 6 sides with a different letter on each side.
Each letter can be shown in 4 different positions.
Visual Thinking
1. How many different ways can the cube be displayed?
B
C
E
E
CD
D
E
C
D
E
A
D
F
F
B
© Pearson Education, Inc. 4
F
E
B
B
F
F
A
E
Enrichment 3-5
DA
E
C
F
F
E
E
C
E
A
D
D
DA
A
6.
F
F
C
5.
CD
C
4.
B
3.
BC
A
2.
AB
E
D
F
Example:
AB
Fill in the missing letters in the position they would be seen on
the cube. The first one has been done for you as an example.
54
Nat_AncTopic_3.indb 54
Topic 3
1/31/08 11:09:56 AM
Name
Enrichment
3-5
Cube Turning
A lettered cube has 6 sides with a different letter on each side.
Each letter can be shown in 4 different positions.
Visual Thinking
1. How many different ways can the cube be displayed?
24 different ways
BC
E
CD
CED
DA
E
E
D
D
C
F
F
C
B
© Pearson Education, Inc. 4
F
E
B
B
A
C
F
B
B
F
F
A
E
A
C
D
A
DA
E
Enrichment 3-5
E
A
F
F
F
E
B
C
E
E
D
D
A
6.
DA
F
C
5.
F
BC
4.
CD
B
3.
BC
A
2.
AB
E
D
F
Example:
AB
Fill in the missing letters in the position they would be seen on
the cube. The first one has been done for you as an example.
54
Nat_AncTopic_3.indb 54
Topic 3
1/31/08 2:33:31 PM
Name
1. Tyler and his father are raising
funds for a new animal shelter.
So far, Tyler has raised $2,789.
His father has raised $1,286. How
much have they raised altogether?
A $3,005
B $3,065
C $4,065
D $4,075
© Pearson Education, Inc. 4
3. Randy bought a pair of jeans for
$15.98. How could he pay using
the fewest coins and bills?
A 15 one-dollar bills, 1 quarter,
14 nickels, 3 pennies
B 3 five-dollar bills, 2 quarters,
8 nickels, 3 pennies
C 1 ten-dollar bill, 1 five-dollar bill,
3 quarters, 2 dimes, 3 pennies
D 2 five-dollar bills, 5 one-dollar
bills, 1 quarter, 7 dimes,
3 pennies
3-6
Class
Number of Cans
Collected
Ms. Hammond
Mr. Black
Ms. Swift
534
502
492
4. The three fourth-grade classes
are collecting cans for a recycling
drive. To the nearest hundred, how
many cans have the students in
Mr. Black’s class collected?
5. About how many more cans has
Ms. Hammond’s class collected
than Ms. Swift’s class?
6. Richard knows that 4 ! 3 is 12.
Write a number sentence to show
how he can use this product to
find 4 ! 4.
7. At a golf tournament, Owen scored
a 75 on his first round, 79 on his
second round, and 82 on his third
round. What was Owen’s total
score?
Topic 3
Nat_AncTopic_3.indb 55
Daily Spiral Review
3-6
2. Tina is reading a book that has
18 chapters. If she reads 2 chapters
each night, how many nights will it
take her to finish the book?
A 9 nights
B 18 nights
C 20 nights
D 36 nights
Daily Spiral Review
55
1/31/08 11:09:58 AM
Name
1. Tyler and his father are raising
funds for a new animal shelter.
So far, Tyler has raised $2,789.
His father has raised $1,286. How
much have they raised altogether?
A $3,005
B $3,065
C $4,065
D $4,075
© Pearson Education, Inc. 4
3. Randy bought a pair of jeans for
$15.98. How could he pay using
the fewest coins and bills?
A 15 one-dollar bills, 1 quarter,
14 nickels, 3 pennies
B 3 five-dollar bills, 2 quarters,
8 nickels, 3 pennies
C 1 ten-dollar bill, 1 five-dollar bill,
3 quarters, 2 dimes, 3 pennies
D 2 five-dollar bills, 5 one-dollar
bills, 1 quarter, 7 dimes,
3 pennies
3-6
Class
Number of Cans
Collected
Ms. Hammond
Mr. Black
Ms. Swift
534
502
492
4. The three fourth-grade classes
are collecting cans for a recycling
drive. To the nearest hundred, how
many cans have the students in
Mr. Black’s class collected?
500
5. About how many more cans has
Ms. Hammond’s class collected
than Ms. Swift’s class?
40
6. Richard knows that 4 ! 3 is 12.
Write a number sentence to show
how he can use this product to
find 4 ! 4.
(4 ! 3) " (4 ! 1) #
12 " 4 # 16
7. At a golf tournament, Owen scored
a 75 on his first round, 79 on his
second round, and 82 on his third
round. What was Owen’s total
score?
236
Topic 3
Nat_AncTopic_3.indb 55
Daily Spiral Review
3-6
2. Tina is reading a book that has
18 chapters. If she reads 2 chapters
each night, how many nights will it
take her to finish the book?
A 9 nights
B 18 nights
C 20 nights
D 36 nights
Daily Spiral Review
55
1/31/08 2:33:33 PM
56
Nat_AncTopic_3.indb 56
Problem of the Day 3-6
Topic 3
Problem
of the
Day
3-6
What is the rule for
the pattern?
66, 77, 88, 99,....
3-6
Problem of the Day
1/31/08 11:09:59 AM
© Pearson Education, Inc. 4
Name
Quick Check
3-6
Use breaking apart and patterns to solve the following.
Circle the correct answer.
1. 6 ! 11 " (6 ! 8) # (6 !
)
A 2
B 3
C 4
D 5
2. 10 ! 11 " (10 ! 10) # (
! 1)
Quick Check 3-6
A 1
B 5
C 10
D 12
© Pearson Education, Inc. 4
3. Writing to Explain Tanya feeds her cat 11 treats each
week. Every 8 weeks, she runs out of treats and has to buy
a new box. How many treats come in each box? Explain
how to use multiplication to find the answer.
Topic 3
Nat_AncTopic_3.indb 57
57
1/31/08 11:10:01 AM
Name
Quick Check
3-6
Use breaking apart and patterns to solve the following.
Circle the correct answer.
1. 6 ! 11 " (6 ! 8) # (6 !
)
A 2
B 3
C 4
D 5
2. 10 ! 11 " (10 ! 10) # (
! 1)
Quick Check 3-6
A 1
B 5
C 10
D 12
3. Writing to Explain Tanya feeds her cat 11 treats each
week. Every 8 weeks, she runs out of treats and has to buy
a new box. How many treats come in each box? Explain
how to use multiplication to find the answer.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 3
Nat_AncTopic_3.indb 57
57
1/31/08 2:33:36 PM
Name
Reteaching
3-6
10, 11, and 12 as Factors
Here are some easy ways to multiply numbers by 10, 11, and 12.
Multiples of 10
Any whole number multiplied by 10 will always equal that number
with an additional zero in the ones place.
For example, 2 ! 10 " 20, 22 ! 10 " 220, and
220 ! 10 " 2,200.
You can also break apart equations to help find products.
Reteaching 3-6
Multiples of 11
To find 12 ! 11, think of 11 as 10 # 1.
12 ! 10 " 120, 12 ! 1 " 12, 120 # 12 " 132,
so 12 ! 11 " 132.
Multiples of 12
To find 6 ! 12, think of 12 as 10 # 2.
6 ! 10 " 60, 6 ! 2 " 12, 60 # 12 " 72, so 6 ! 12 " 72.
1. 5 ! 11 "
2. 12 ! 4 "
3. 10 ! 9 "
4. 7 ! 12 "
5. 12 ! 11 "
6. 8 ! 10 "
7. Number Sense Explain how 9 ! 10 can help you find 9 ! 11.
There are 11 players on the field for each football team during a
game. How many players would there be on
8. 4 teams?
10. 10 teams?
11. 11 teams?
58
Nat_AncTopic_3.indb 58
© Pearson Education, Inc. 4
9. 8 teams?
Topic 3
1/31/08 11:10:01 AM
Name
Reteaching
3-6
10, 11, and 12 as Factors
Here are some easy ways to multiply numbers by 10, 11, and 12.
Multiples of 10
Any whole number multiplied by 10 will always equal that number
with an additional zero in the ones place.
For example, 2 ! 10 " 20, 22 ! 10 " 220, and
220 ! 10 " 2,200.
You can also break apart equations to help find products.
Reteaching 3-6
Multiples of 11
To find 12 ! 11, think of 11 as 10 # 1.
12 ! 10 " 120, 12 ! 1 " 12, 120 # 12 " 132,
so 12 ! 11 " 132.
Multiples of 12
To find 6 ! 12, think of 12 as 10 # 2.
6 ! 10 " 60, 6 ! 2 " 12, 60 # 12 " 72, so 6 ! 12 " 72.
1. 5 ! 11 "
4. 7 ! 12 "
55
84
2. 12 ! 4 "
5. 12 ! 11 "
48
132
3. 10 ! 9 "
6. 8 ! 10 "
90
80
7. Number Sense Explain how 9 ! 10 can help you find 9 ! 11.
9 ! 10 " 90, 1 ! 9 " 9, 90 # 9 " 99
8. 4 teams?
9. 8 teams?
10. 10 teams?
11. 11 teams?
58
Nat_AncTopic_3.indb 58
44 players
88 players
110 players
121 players
© Pearson Education, Inc. 4
There are 11 players on the field for each football team during a
game. How many players would there be on
Topic 3
1/31/08 2:33:37 PM
Name
Practice
3-6
10, 11, and 12 as Factors
1. 4 ! 10 "
2. 12 ! 2 "
3. 10 ! 6 "
4. 11 ! 1 "
5. 4 ! 12 "
6. 8 ! 11 "
7. 9 ! 10 "
8. 12 ! 3 "
9. 10 ! 7 "
10. 11 ! 5 "
11. 10 ! 5 "
12. 6 ! 12 "
13. Number Sense Beatrice multiplied 10 ! 9. She quickly
found the answer by placing a 0 behind the 9 to get an
answer of 90. Is this reasonable?
Practice 3-6
There are 12 months in 1 year. How many months are in
14. 2 years?
15. 3 years?
16. 5 years?
17. In the classroom there are 5 round tables. There
are 4 students sitting at each table. How many
students are sitting at the tables altogether?
18. How much money is 12 dimes?
A $0.60
B $1.00
C $1.20
D $2.00
© Pearson Education, Inc. 4
19. Writing to Explain Explain how to find 7 ! 11.
Topic 3
Nat_AncTopic_3.indb 59
59
1/31/08 11:10:03 AM
Name
Practice
10, 11, and 12 as Factors
1. 4 ! 10 " 40
2. 12 ! 2 " 24
4. 11 ! 1 " 11
5. 4 ! 12 " 48
7. 9 ! 10 " 90
8. 12 ! 3 " 36
10. 11 ! 5 " 55
11. 10 ! 5 " 50
3-6
3. 10 ! 6 "
6. 8 ! 11 "
9. 10 ! 7 "
12. 6 ! 12 "
60
88
70
72
13. Number Sense Beatrice multiplied 10 ! 9. She quickly
found the answer by placing a 0 behind the 9 to get an
answer of 90. Is this reasonable?
Practice 3-6
Sample answer: Yes, that rule tells
how to find each multiple of 10.
There are 12 months in 1 year. How many months are in
14. 2 years?
15. 3 years?
16. 5 years?
24 months
36 months
60 months
17. In the classroom there are 5 round tables. There
are 4 students sitting at each table. How many
students are sitting at the tables altogether?
20 students
18. How much money is 12 dimes?
A $0.60
B $1.00
C $1.20
D $2.00
19. Writing to Explain Explain how to find 7 ! 11.
© Pearson Education, Inc. 4
Sample answer: Use breaking apart:
(7 ! 10) " (7 ! 1) # 70 " 7 # 77
Topic 3
Nat_AncTopic_3.indb 59
59
1/31/08 2:33:38 PM
Name
Enrichment
3-6
Break the Codes
Visual Thinking
The symbols in each set of problems represent
whole numbers. Break the codes.
Hint: Here’s how you might break one code.
@ M 27
Think: @ @ 24 is a double.
@ @ 24
The two addends are the same,
so @ 12.
1.
3.
11
1
,
8
48
,
5.
Nat_AncTopic_3.indb 60
4.
12
,
6.
18
90
60
7.
2.
,
8.
33
9
,
28
16
,
11
,
16
40
64
,
,
© Pearson Education, Inc. 4
Enrichment 3-6
Since 27 12 15, M 15.
Topic 3
1/31/08 11:10:04 AM
Name
Enrichment
3-6
Break the Codes
Visual Thinking
The symbols in each set of problems represent
whole numbers. Break the codes.
Hint: Here’s how you might break one code.
@ M 27
Think: @ @ 24 is a double.
@ @ 24
The two addends are the same,
so @ 12.
1.
11
1
3.
11,
8
48
5.
12 ,
12
9
,
1
18
90
9
,
4
33
9
3
10
28
16
Nat_AncTopic_3.indb 60
,
11
12,
16
40
64
60
7
8.
11 ,
6.
4.
7.
2.
5
,
3
4
1
2,
8
© Pearson Education, Inc. 4
Enrichment 3-6
Since 27 12 15, M 15.
Topic 3
1/31/08 2:33:39 PM
Name
Daily Spiral Review
3-7
1. Peter has $8.08 in his pocket.
He finds a quarter on the sidewalk
and puts it in his pocket. How
much money does he have in his
pocket now?
A $8.10
B $8.25
C $8.33
D $8.38
4. What kind of figure has 3 sides?
2. Yvette’s computer has a folder with
files shown in rows and columns.
There are 4 rows and 12 columns.
Which number sentence shows
how many files the folder has?
A 4 ! 12 " 48
B 12 # 4 " 8
C 4 $ 12 " 16
D 12 % 4 " 3
6. The table shows how much
money four friends have. Place
the amounts in order from greatest
to least.
Amount
$15.80
$15.72
$16.10
$16.02
© Pearson Education, Inc. 4
Person
Sven
Rita
Wendy
Carlos
Daily Spiral Review
3-7
3. Nick has 1,263 baseball cards. He
gives 374 to his younger sister.
How many baseball cards does
Nick have now?
A 889
B 899
C 989
D 999
5. Nina has 763 pennies in a jar.
Daryl has 839 pennies in a jar.
Round each amount to the
nearest hundred.
Topic 3
Nat_AncTopic_3.indb 61
61
1/31/08 11:10:06 AM
Name
Daily Spiral Review
3-7
1. Peter has $8.08 in his pocket.
He finds a quarter on the sidewalk
and puts it in his pocket. How
much money does he have in his
pocket now?
A $8.10
B $8.25
C $8.33
D $8.38
4. What kind of figure has 3 sides?
2. Yvette’s computer has a folder with
files shown in rows and columns.
There are 4 rows and 12 columns.
Which number sentence shows
how many files the folder has?
A 4 ! 12 " 48
B 12 # 4 " 8
C 4 $ 12 " 16
D 12 % 4 " 3
6. The table shows how much
money four friends have. Place
the amounts in order from greatest
to least.
5. Nina has 763 pennies in a jar.
Daryl has 839 pennies in a jar.
Round each amount to the
nearest hundred.
Nina: 800, Daryl: 800
$16.10, $16.02,
$15.80, $15.72
Amount
$15.80
$15.72
$16.10
$16.02
© Pearson Education, Inc. 4
Person
Sven
Rita
Wendy
Carlos
Daily Spiral Review
3-7
3. Nick has 1,263 baseball cards. He
gives 374 to his younger sister.
How many baseball cards does
Nick have now?
A 889
B 899
C 989
D 999
Triangle
Topic 3
Nat_AncTopic_3.indb 61
61
1/31/08 2:33:41 PM
62
Nat_AncTopic_3.indb 62
Problem of the Day 3-7
Topic 3
Problem
of the
Day
3-7
When will be the next
year of the Tiger? Year of
the Horse?
Chinese Zodiac
Pig
Dog
er 1982 1983
st
1995
4
9
o
9
1
1
o
R 198 93
19
3-7
p Monke
Shee
1992 y
1991
se
003 2004
or 0
H 99 2 2
1 00
2
1/31/08 11:10:08 AM
© Pearson Education, Inc. 4
Problem of the Day
on Snake
Drag
1989
1988
2
2000 001
Tige
Ox
r
1986
H
1985
t
a
1
Ra 84
1997 998 1 198 re
99 7
19 996
9
1
Name
Quick Check
3-7
1. The United States flag had 25
stars in 1837. The flag has twice
as many stars today. Which bar
diagram shows how many stars the
flag has today?
?
A
25
25
25
?
B
2. Nina is 48 inches tall. Rafael is
53 inches tall. Which number
sentence tells you how many
inches taller Rafael is than Nina?
A 48 ! 53 " 101
B 101 # 53 " 48
C 53 ! 5 " 58
D 53 # 48 " 5
25
?
C
25
25
25
25
?
D
25
25
25
4. Ian is 6 years old. His brother
Curtis is 3 times as old. Which
number sentence tells you how
old Curtis is?
Quick Check 3-7
3. Kerry is watering her plants. The
plant at her desk needs 5 times
as much water as the plant by her
window does. The plant by her
window needs 2 pints of water.
How much water does the plant at
her desk need?
A 3 $ 6 " 18
B 3 $ 3 $ 3 " 27
A 3 pints
C 10 pints
C 3!3!3"9
B 7 pints
D 14 pints
D 9 $ 2 " 18
© Pearson Education, Inc. 4
5. Writing to Explain Adam’s pet frog can jump 4 times as far as Sonya’s.
Sonya’s frog can jump 8 inches. Use a picture and a number sentence to
tell how many inches Adam’s frog can jump.
Topic 3
Nat_AncTopic_3.indb 63
63
1/31/08 11:10:09 AM
Name
Quick Check
3-7
1. The United States flag had 25
stars in 1837. The flag has twice
as many stars today. Which bar
diagram shows how many stars the
flag has today?
?
A
25
25
25
?
B
2. Nina is 48 inches tall. Rafael is
53 inches tall. Which number
sentence tells you how many
inches taller Rafael is than Nina?
A 48 ! 53 " 101
B 101 # 53 " 48
C 53 ! 5 " 58
D 53 # 48 " 5
25
?
C
25
25
25
25
?
D
25
25
25
4. Ian is 6 years old. His brother
Curtis is 3 times as old. Which
number sentence tells you how
old Curtis is?
Quick Check 3-7
3. Kerry is watering her plants. The
plant at her desk needs 5 times
as much water as the plant by her
window does. The plant by her
window needs 2 pints of water.
How much water does the plant at
her desk need?
A 3 $ 6 " 18
B 3 $ 3 $ 3 " 27
A 3 pints
C 10 pints
C 3!3!3"9
B 7 pints
D 14 pints
D 9 $ 2 " 18
© Pearson Education, Inc. 4
5. Writing to Explain Adam’s pet frog can jump 4 times as far as Sonya’s.
Sonya’s frog can jump 8 inches. Use a picture and a number sentence to
tell how many inches Adam’s frog can jump.
See student samples to the right.
Topic 3
Nat_AncTopic_3.indb 63
63
1/31/08 2:33:44 PM
Name
Reteaching
Problem Solving: Draw a
Picture and Write an Equation
3-7
Draw a Picture and Write an Equation
Step 1:
Read and Understand
Step 2:
Plan and Solve
Step 3:
Look Back and Check
Janie is in the fourth row
of the marching band.
There are 7 rows of
musicians with 8 in each
row. How many musicians
are ahead of Janie? How
many musicians are
behind Janie?
You can draw a picture of
the musicians: Write an A
for each musician ahead
of Janie, a B for each
musician behind Janie,
and a J for each musician
in Janie’s row.
How many musicians are
there in all?
You can multiply
7 ! 8 " 56 musicians,
or add 24 # 8 # 24 " 56
musicians.
Solve
AAAAAAAA
AAAAAAAA
AAAAAAAA
JJJJJJJJ
BBBBBBBB
BBBBBBBB
BBBBBBBB
James has 12 seashells mounted in a row. The 6 shells in the center of the row are
nautilus shells. Is there the same number of shells on either side of the nautilus
shells? Draw a picture to help you solve the problem.
© Pearson Education, Inc. 4
Reteaching 3-7
You need to find how
many are ahead of Janie
and behind Janie.
64
Nat_AncTopic_3.indb 64
Topic 3
1/31/08 11:10:10 AM
Name
Reteaching
Problem Solving: Draw a
Picture and Write an Equation
3-7
Draw a Picture and Write an Equation
Step 1:
Read and Understand
Step 2:
Plan and Solve
Step 3:
Look Back and Check
Janie is in the fourth row
of the marching band.
There are 7 rows of
musicians with 8 in each
row. How many musicians
are ahead of Janie? How
many musicians are
behind Janie?
You can draw a picture of
the musicians: Write an A
for each musician ahead
of Janie, a B for each
musician behind Janie,
and a J for each musician
in Janie’s row.
How many musicians are
there in all?
You can multiply
7 ! 8 " 56 musicians,
or add 24 # 8 # 24 " 56
musicians.
Reteaching 3-7
You need to find how
many are ahead of Janie
and behind Janie.
Solve
AAAAAAAA
AAAAAAAA
AAAAAAAA
JJJJJJJJ
BBBBBBBB
BBBBBBBB
BBBBBBBB
James has 12 seashells mounted in a row. The 6 shells in the center of the row are
nautilus shells. Is there the same number of shells on either side of the nautilus
shells? Draw a picture to help you solve the problem.
Yes, there are 3 shells to the left and
3 shells to the right.
© Pearson Education, Inc. 4
Check students’
drawings.
64
Nat_AncTopic_3.indb 64
Topic 3
1/31/08 2:33:45 PM
Name
Practice
3-7
Problem Solving: Draw a
Picture and Write an Equation
For 1 through 4, write an equation and solve. Use the picture to help.
1. John is running in a marathon. The
marathon is 25 miles long. After
two hours, John has run 7 miles.
How many miles does John have
left to run?
2. A summer camp has divided
its campers into 4 groups of
25 campers. How many campers
are at the summer camp?
? campers
25 miles
7
25
25
25
25
? miles
3. Karen is 5 feet tall. In Karen’s
backyard there is an oak tree
4 times as tall as she is. How tall
is the oak tree?
4. Micah’s room has four sides and
a perimeter of 48 feet. If 3 of the
sides are 12 feet long, how long is
the fourth side?
? feet
Oak tree
5 ft
Karen
5 ft
5 ft
5 ft
48 feet
5 ft
12ft
12ft
12ft
?
Practice 3-7
5. On Monday, Chris had $250 in his savings account. On
Friday, he spent $16 at the movies. On Saturday, he
deposited a $120 check. Which number sentence below
shows how much money Chris has?
© Pearson Education, Inc. 4
A 250 ! 16 ! 120
B 250 ! 16 " 120
C 250 " 16 " 120
D 250 " 16 ! 120
6. Writing to Explain Melissa is making bookmarks from a piece
of ribbon that is 12 inches long. Each bookmark is 4 inches
long. She drew this picture to see how many bookmarks she
could make from the ribbon. What did she do wrong?
12 in. in all
4 inches 4 inches 4 inches 4 inches
Topic 3
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65
1/31/08 11:10:11 AM
Name
Practice
3-7
Problem Solving: Draw a
Picture and Write an Equation
For 1 through 4, write an equation and solve. Use the picture to help.
1. John is running in a marathon. The
marathon is 25 miles long. After
two hours, John has run 7 miles.
How many miles does John have
left to run?
2. A summer camp has divided
its campers into 4 groups of
25 campers. How many campers
are at the summer camp?
25 # 4 " 100 campers
25 ! 7 " 18 mi
? campers
25 miles
7
25
25
25
25
? miles
3. Karen is 5 feet tall. In Karen’s
backyard there is an oak tree
4 times as tall as she is. How tall
is the oak tree?
5 # 4 " 20 feet
4. Micah’s room has four sides and
a perimeter of 48 feet. If 3 of the
sides are 12 feet long, how long is
the fourth side?
48 ! 12 ! 12 ! 12 " 12 feet
? feet
Oak tree
5ft
Karen
5ft
5ft
5 ft
48 feet
5 ft
12ft
12ft
12ft
?
Practice 3-7
5. On Monday, Chris had $250 in his savings account. On
Friday, he spent $16 at the movies. On Saturday, he
deposited a $120 check. Which number sentence below
shows how much money Chris has?
© Pearson Education, Inc. 4
A 250 ! 16 ! 120
B 250 ! 16 " 120
C 250 " 16 " 120
D 250 " 16 ! 120
6. Writing to Explain Melissa is making bookmarks from a piece
of ribbon that is 12 inches long. Each bookmark is 4 inches
long. She drew this picture to see how many bookmarks she
could make from the ribbon. What did she do wrong?
12 in. in all
Nat_AncTopic_3.indb 65
4 inches 4 inches 4 inches 4 inches
She should have divided it into 3 pieces that
were 4 in. long.
Topic 3
65
1/31/08 2:33:46 PM
Name
Picture It!
Draw pictures or bar diagrams to help you solve the
problems below.
Enrichment
3-7
Visual Thinking
1. Mr. Byfield and Ms. Fuentes both have 24 students in
their classes. Half of the students in Mr. Byfield’s class
are girls. There are 2 more girls in Ms. Fuentes’ class than
in Mr. Byfield’s. How many girls are in Ms. Fuentes’ class?
2. There are 12 small containers of milk in a case. Travis has
5 cases of milk in his store. He sold 2 small containers. How
many containers does Travis now have?
4. At the fourth-grade craft sale, Karen sold 6 pot holders for
$4 each. Larry made $5 more than Karen selling bookmarks.
How much did Larry make?
© Pearson Education, Inc. 4
Enrichment 3-7
3. A hotel is 7 stories high. Skyscraper A has 28 more stories
than the hotel. Skyscraper B has 3 more stories than
Skyscraper A. How many stories does Skyscraper B have?
66
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Topic 3
1/31/08 11:10:14 AM
Name
Enrichment
3-7
Picture It!
Draw pictures or bar diagrams to help you solve the
problems below.
Visual Thinking
1. Mr. Byfield and Ms. Fuentes both have 24 students in
their classes. Half of the students in Mr. Byfield’s class
are girls. There are 2 more girls in Ms. Fuentes’ class than
in Mr. Byfield’s. How many girls are in Ms. Fuentes’ class?
14
2. There are 12 small containers of milk in a case. Travis has
5 cases of milk in his store. He sold 2 small containers. How
many containers does Travis now have?
58
3. A hotel is 7 stories high. Skyscraper A has 28 more stories
than the hotel. Skyscraper B has 3 more stories than
Skyscraper A. How many stories does Skyscraper B have?
Enrichment 3-7
38
4. At the fourth-grade craft sale, Karen sold 6 pot holders for
$4 each. Larry made $5 more than Karen selling bookmarks.
How much did Larry make?
$29
© Pearson Education, Inc. 4
Check students’
drawings.
66
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Topic 3
1/31/08 2:33:48 PM
Name
Topic 3
Multiple-Choice
Test
Mark the best answer.
1. Which has the same value as
4 ! 6? (3-1)
4. Each clover has 3 leaves.
A 4"4"4"4
B 6"4"6"4
C 6"6"6"6
D 4"6
2. Juan bought 3 bags of oranges.
Each bag had 2 oranges in it. How
many oranges did he have? (3-3)
A 9
B 7
C 6
D 5
3. Which is a way to find 6 ! 9? (3-5)
A (6 ! 2) " (6 ! 16)
B (6 ! 4) " (6 ! 5)
C (6 ! 5) " (6 ! 6)
D (6 ! 6) " (5 ! 3)
If Ricardo counted the leaves in
groups of 3, which list includes
numbers he could have named?
(3-2)
A 3, 6, 10, 13
B 9, 12, 16, 18
C 13, 16, 19, 22
D 6, 9, 12, 15
5. Patrick bought 8 cartons of eggs.
Each carton had 6 eggs. Which
number sentence can be used
to find the total number of eggs
Patrick bought? (3-6)
A 8!6#
B
"6=8
C 8"6#
Topic 3
Nat_AncTopic_3.indb 67
67
Topic 3
Multiple-Choice Test
© Pearson Education, Inc. 4
D 8$6#
1/31/08 11:10:15 AM
Name
Topic 3
Multiple-Choice
Test
Mark the best answer.
1. Which has the same value as
4 ! 6? (3-1)
4. Each clover has 3 leaves.
A 4"4"4"4
B 6"4"6"4
C 6"6"6"6
D 4"6
2. Juan bought 3 bags of oranges.
Each bag had 2 oranges in it. How
many oranges did he have? (3-3)
A 9
B 7
C 6
D 5
3. Which is a way to find 6 ! 9? (3-5)
A (6 ! 2) " (6 ! 16)
B (6 ! 4) " (6 ! 5)
C (6 ! 5) " (6 ! 6)
D (6 ! 6) " (5 ! 3)
If Ricardo counted the leaves in
groups of 3, which list includes
numbers he could have named?
(3-2)
A 3, 6, 10, 13
B 9, 12, 16, 18
C 13, 16, 19, 22
D 6, 9, 12, 15
5. Patrick bought 8 cartons of eggs.
Each carton had 6 eggs. Which
number sentence can be used
to find the total number of eggs
Patrick bought? (3-6)
A 8!6#
B
"6=8
C 8"6#
Topic 3
Nat_AncTopic_3.indb 67
67
Topic 3
Multiple-Choice Test
© Pearson Education, Inc. 4
D 8$6#
1/31/08 2:33:49 PM
Name
Topic 3
Free-Response Test
Give each answer.
Write an addition sentence and
a multiplication sentence for
each picture.
Write the missing number.
6. 7 ! 1 " 1 !
7. 6 ! 8 "
1.
!6
Use breaking apart to find
each product.
8. 7 ! 5
(7 ! 2) # (7 !
2.
#
)
"
9. 3 ! 4
(1 ! 4) # (
#
! 4)
"
10. 6 ! 12
Skip count to find the number that
comes next.
(3 ! 12) # (
#
! 12)
"
3. 10, 12, 14, 16, ?
4. 25, 30, 35, 40, ?
© Pearson Education, Inc. 4
Topic 3
Free-Response Test
5. 18, 27, 36, 45, ?
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Topic 3
1/31/08 11:10:19 AM
Name
Topic 3
Free-Response Test
Give each answer.
Write an addition sentence and
a multiplication sentence for
each picture.
Write the missing number.
7. 6 ! 8 "
1.
5!5!5"
15; 3 # 5 " 15
8
!6
Use breaking apart to find
each product.
8. 7 ! 5
3 )
21 " 35
(7 ! 2) # (7 !
14 #
2.
7
6. 7 ! 1 " 1 !
9. 3 ! 4
(1 ! 4) # (
6 ! 6 ! 6 ! 6 " 24;
4 # 6 " 24
Skip count to find the number that
comes next.
4
#
8
2
"
! 4)
12
10. 6 ! 12
(3 ! 12) # (
3
! 12)
36 # 36 " 72
3. 10, 12, 14, 16, ?
18
4. 25, 30, 35, 40, ?
45
Topic 3
Free-Response Test
54
70
Nat_AncTopic_3.indb 70
© Pearson Education, Inc. 4
5. 18, 27, 36, 45, ?
Topic 3
1/31/08 2:33:53 PM
Name
Topic 3
Performance
Assessment
Mr. Harrison’s class has been learning about earth science.
Mr. Harrison and several students brought their rock collections
to school. Mr. Harrison brought in a catalog that sells the two
different rock display containers shown below.
Display Box
Display Box
Holds 4
rocks
Holds 6
rocks
$3
$5
1. Maggie wants to buy 4 of the containers that hold 6 rocks.
How much money will she spend?
2. Travis has filled 3 of the containers that hold 4 rocks.
How many rocks does Travis have?
3. Linette has twice the number of rocks that Travis has.
How many rocks does Linette have?
4. Write and answer the hidden question or questions.
Then, solve the problem.
Angela has 18 rocks. She bought 2 containers that hold 6 rocks each. How
many more 6-rock containers does she need to buy? How much money will
she spend on containers in all?
72
Nat_AncTopic_3.indb 72
Days
7
Rocks
3
14
© Pearson Education, Inc. 4
Topic 3
Performance Assessment
5. Ramirez went rock hunting every week, or every 7 days. He
collected 3 rocks each time he went. Complete the table to
find out how many days it took for Ramirez to collect 24 rocks.
Topic 3
1/31/08 11:10:21 AM
Name
Topic 3
Performance
Assessment
Mr. Harrison’s class has been learning about earth science.
Mr. Harrison and several students brought their rock collections
to school. Mr. Harrison brought in a catalog that sells the two
different rock display containers shown below.
Display Box
Display Box
Holds 4
rocks
Holds 6
rocks
$3
$5
1. Maggie wants to buy 4 of the containers that hold 6 rocks.
How much money will she spend?
4 ! 5 " $20
2. Travis has filled 3 of the containers that hold 4 rocks.
How many rocks does Travis have?
3 ! 4 " 12
3. Linette has twice the number of rocks that Travis has.
How many rocks does Linette have?
12 ! 2 " 24
4. Write and answer the hidden question or questions.
Then, solve the problem.
Angela has 18 rocks. She bought 2 containers that hold 6 rocks each. How
many more 6-rock containers does she need to buy? How much money will
she spend on containers in all?
2 ! 6 " 12; 18 # 12 " 6; She needs
1 more container, 3 ! $5 " $15.
72
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Days
7
14
Rocks
3
6
21 28 35 42 49 56
9 12 15 18 21 24
© Pearson Education, Inc. 4
Topic 3
Performance Assessment
5. Ramirez went rock hunting every week, or every 7 days. He
collected 3 rocks each time he went. Complete the table to
find out how many days it took for Ramirez to collect 24 rocks.
Topic 3
1/31/08 2:33:54 PM