Name
2. There are 25 students in Mrs.
Henley’s class. Fourteen of the
students are girls. How many of
the students are boys?
A 11
B 12
C 14
D 39
3. What is fifty-eight thousand
written in standard form?
A 580,000
B 58,000
C 5,800
D 580
2-1
5. Evan has a shell collection. On
Monday, he found 6 new shells.
On Tuesday, he gave 9 shells to
his friends. After giving the shells
away, Evan had 37 shells left.
How many shells did Evan have to
start with?
Daily Spiral Review 2-1
1. Boyd has saved 19 quarters
and 2 nickels. How much has
he saved?
A $4.40
B $4.85
C $4.95
D $5.10
Daily Spiral Review
6. Aretha reads 3 chapters of her
book each day. How many
days will it take Aretha to finish
the book if it has 24 chapters?
Write a number sentence to
solve the problem.
7. Look at the pattern below. What
are the next two numbers in the
series?
12, 18, 24, 30, 36,
,
8. What is the name of the polygon
shown below?
© Pearson Education, Inc. 4
4. Which number has a 6 in the
ten thousands place?
A 652,931
B 528,629
C 496,893
D 360,927
Topic 2
Nat_AncTopic_2.indb 25
25
1/29/08 2:11:38 PM
Name
2. There are 25 students in Mrs.
Henley’s class. Fourteen of the
students are girls. How many of
the students are boys?
A 11
B 12
C 14
D 39
3. What is fifty-eight thousand
written in standard form?
A 580,000
B 58,000
C 5,800
D 580
5. Evan has a shell collection. On
Monday, he found 6 new shells.
On Tuesday, he gave 9 shells to
his friends. After giving the shells
away, Evan had 37 shells left.
How many shells did Evan have to
start with?
40 shells
6. Aretha reads 3 chapters of her
book each day. How many
days will it take Aretha to finish
the book if it has 24 chapters?
Write a number sentence to
solve the problem.
8 days; 24 ! 3 " 8
7. Look at the pattern below. What
are the next two numbers in the
series?
12, 18, 24, 30, 36,
,
42 48
8. What is the name of the polygon
shown below?
Pentagon
© Pearson Education, Inc. 4
4. Which number has a 6 in the
ten thousands place?
A 652,931
B 528,629
C 496,893
D 360,927
2-1
Daily Spiral Review 2-1
1. Boyd has saved 19 quarters
and 2 nickels. How much has
he saved?
A $4.40
B $4.85
C $4.95
D $5.10
Daily Spiral Review
Topic 2
Nat_AncTopic_2.indb 25
25
1/29/08 2:00:46 PM
26
Nat_AncTopic_2.indb 26
Problem of the Day 2-1
Topic 2
Problem
of the
Day
2-1
Tell the operation needed to solve
the problem.
2-1
1/29/08 2:11:38 PM
© Pearson Education, Inc. 4
Problem of the Day
Toby, Neal, and Quinn each gave
canned food to the food drive.
How many cans did they
give altogether?
Name
Quick Check
2-1
2. 532 " 167
A 412
A 360
B 454
B 365
C 464
C 379
D 470
D 699
Quick Check 2-1
1. 438 ! 26
3. 78 ! 55
A 123
B 133
C 145
D 235
© Pearson Education, Inc. 4
4. Writing to Explain Kevin wants to buy a new stereo for
$239. So far, he has saved $115. Explain how you can use
mental math to find out how much more money Kevin needs
to save.
Topic 2
Nat_AncTopic_2.indb 27
27
1/29/08 2:11:39 PM
Name
Quick Check
2-1
2. 532 " 167
A 412
A 360
B 454
B 365
C 464
C 379
D 470
D 699
Quick Check 2-1
1. 438 ! 26
3. 78 ! 55
A 123
B 133
C 145
D 235
4. Writing to Explain Kevin wants to buy a new stereo for
$239. So far, he has saved $115. Explain how you can use
mental math to find out how much more money Kevin needs
to save.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 2
Nat_AncTopic_2.indb 27
27
1/29/08 2:00:47 PM
Name
Reteaching
2-1
Using Mental Math to Add
and Subtract
There are different strategies for adding and subtracting with mental math.
Reteaching 2-1
Addition Strategies
Subtraction Strategies
With breaking apart you can add
numbers in any order.
Using compensation
235 158
Break apart 158.
158 5 153
235 5 240
Add one part to
make a ten.
240 153 393 Add the other part.
162 48
With compensation you can add
or subtract to make tens.
Using counting on
235 158
Add 2 to make a ten.
158 2 160
235 160 395
395 2 393
Subtract 2 from the
answer because 2
was added earlier.
162 50 112
112 2 114
Add 2 to make 50.
2 48 50
Since you subtracted 2 too
many, add 2 to the answer.
400 185
Add 5 to make 190.
185 5 190
190 10 200
Make the next 100.
200 200 400
Add 200 to make 400.
5 10 200 215 Find the total of what
you added.
Add or subtract. Use mental math.
1. 67 ! 31 "
2. 86 # 14 "
3. 29 ! 43 "
4. 206 # 78 "
5. Reasoning How can you write 72 ! (8 ! 19)
to make it easier to add?
Marble Collection
425
375
129
99
Use mental math to solve.
6. How many more blue marbles are there than yellow marbles?
7. What is the number of red and green marbles?
28
Nat_AncTopic_2.indb 28
© Pearson Education, Inc. 4
red
blue
green
yellow
Topic 2
1/29/08 2:11:40 PM
Name
Reteaching
2-1
Using Mental Math to Add
and Subtract
There are different strategies for adding and subtracting with mental math.
Reteaching 2-1
Addition Strategies
Subtraction Strategies
With breaking apart you can add
numbers in any order.
Using compensation
Break apart 158.
158 5 153
235 5 240
Add one part to
make a ten.
240 153 393 Add the other part.
162 48
With compensation you can add
or subtract to make tens.
Using counting on
235 158
235 158
Add 2 to make a ten.
158 2 160
235 160 395
395 2 393
Subtract 2 from the
answer because 2
was added earlier.
162 50 112
112 2 114
Since you subtracted 2 too
many, add 2 to the answer.
400 185
Add 5 to make 190.
185 5 190
190 10 200
Make the next 100.
200 200 400
Add 200 to make 400.
5 10 200 215 Find the total of what
you added.
Add or subtract. Use mental math.
98
29 ! 43 " 72
Add 2 to make 50.
2 48 50
72
206 # 78 " 128
1. 67 ! 31 "
2. 86 # 14 "
3.
4.
5. Reasoning How can you write 72 ! (8 ! 19)
to make it easier to add?
(72 + 8) + 19
Marble Collection
425
375
129
99
Use mental math to solve.
6. How many more blue marbles are there than yellow marbles?
7. What is the number of red and green marbles?
28
Nat_AncTopic_2.indb 28
276
554
© Pearson Education, Inc. 4
red
blue
green
yellow
Topic 2
1/29/08 2:00:48 PM
Name
Practice
2-1
Using Mental Math to Add
and Subtract
Add or subtract. Use mental math.
2. 101 " 49
3. 400 ! 157
4. 722 ! 158
5. 120 " 33
6. 900 " 187
7. 299 ! 206
8. 878 ! 534
9. 554 " 59
Practice 2-1
1. 89 ! 46
10. Reasoning How can you write
52 ! (8 ! 25) to make it easier to add?
11. Selena’s family went on a trip. The total hotel bill was $659.
The cost of the airfare was $633. Use mental math to find the
total cost for the hotel and the airfare.
12. One year, 76 people helped at the town cleanup. The next
year, 302 people helped. How many more people helped in
the second year? Use mental math to find the answer.
13. Stanley wants to collect 900 sports cards. So far, he has
collected 428 baseball cards and 217 football cards. How
many more cards does Stanley need to complete his
collection?
A 255
B 472
C 645
D 683
© Pearson Education, Inc. 4
14. Writing to Explain Explain how you could add 678 ! 303
using mental math.
Topic 2
Nat_AncTopic_2.indb 29
29
1/29/08 2:11:41 PM
Name
Practice
2-1
Using Mental Math to Add
and Subtract
Add or subtract. Use mental math.
1. 89 ! 46
2. 101 " 49
135
52
5. 120 " 33
880
7. 299 ! 206
557
6. 900 " 187
87
713
8. 878 ! 534
505
1,412
10. Reasoning How can you write
52 ! (8 ! 25) to make it easier to add?
9. 554 " 59
495
(52 ! 8) ! 25
11. Selena’s family went on a trip. The total hotel bill was $659.
The cost of the airfare was $633. Use mental math to find the
total cost for the hotel and the airfare.
12. One year, 76 people helped at the town cleanup. The next
year, 302 people helped. How many more people helped in
the second year? Use mental math to find the answer.
13. Stanley wants to collect 900 sports cards. So far, he has
collected 428 baseball cards and 217 football cards. How
many more cards does Stanley need to complete his
collection?
A 255
B 472
Practice 2-1
4. 722 ! 158
3. 400 ! 157
C 645
$1,292
226
people
D 683
© Pearson Education, Inc. 4
14. Writing to Explain Explain how you could add 678 ! 303
using mental math.
Sample answer: 678 ! 3 " 681 and
681 ! 300 " 981.
Topic 2
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29
1/29/08 2:00:79 PM
Name
Enrichment
2-1
Mental Puzzles
Using mental math to add helps you find tens and hundreds.
Mental Math
Enrichment 2-1
1. Look at each number in the puzzle board. Find two
numbers in the box whose sum equals that number.
Use each number only once. Do not use paper and
pencil or a calculator.
119
225
511
259
173
28
486
374
375
227
164
314
389
136
72
241
81
326
Puzzle Board
100
200
300
400
500
600
700
800
900
© Pearson Education, Inc. 4
2. Explain what methods you used to help you solve the puzzle board.
30
Nat_AncTopic_2.indb 30
Topic 2
1/29/08 2:11:42 PM
Name
Enrichment
2-1
Mental Puzzles
Using mental math to add helps you find tens and hundreds.
Mental Math
Enrichment 2-1
1. Look at each number in the puzzle board. Find two
numbers in the box whose sum equals that number.
Use each number only once. Do not use paper and
pencil or a calculator.
119
225
511
259
173
28
486
374
375
227
164
314
389
136
72
241
81
326
Puzzle Board
100
200
300
72 28
119 81
164 136
400
500
600
227 173
700
326 374
241 259 375 225
800
900
486 314 511 389
2. Explain what methods you used to help you solve the puzzle board.
© Pearson Education, Inc. 4
Check students’ methods: Sample
answer: I looked for ones digits that
equal 10 when added together.
30
Nat_AncTopic_2.indb 30
Topic 2
1/29/08 2:00:50 PM
Name
Daily Spiral Review
2-2
2. The fourth-grade class sold
73 tickets for Thursday’s basketball
game. They sold 99 tickets for
Saturday’s game. How many
tickets did they sell in all?
Use mental math to add.
A 25
B 26
C 170
D 172
4. What is 21,883 rounded to the
nearest hundred?
5. Destiny has 9 more stickers than
Shane. Alisa has 7 fewer stickers
than Destiny. If Shane has
20 stickers, how many stickers do
Destiny and Alisa each have?
Daily Spiral Review 2-2
1. What is forty-six million, seven
hundred eighty thousand, two
hundred sixteen written in
standard form?
A 46,708,216
B 46,780,216
C 406,078,216
D 406,780,216
6. Jake jumped 3 feet. Marco
jumped 32 inches. Who jumped
farther? Explain how you found
your answer.
3. Which is NOT a way to say the
time shown on the clock below?
11 12 1
10
2
9
3
8
4
7 6 5
Fifteen minutes to eight
Seven forty-five
Quarter past seven
Quarter to eight
8. It takes Kiley 5 minutes to run
around the track. How many
minutes will it take her to run
around the track 5 times? Write a
number sentence to solve.
© Pearson Education, Inc. 4
A
B
C
D
7. Which number is missing from the
number sentence below?
7!
! 16 " 31
Topic 2
Nat_AncTopic_2.indb 31
31
1/29/08 2:11:43 PM
Name
Daily Spiral Review
2-2
2. The fourth-grade class sold
73 tickets for Thursday’s basketball
game. They sold 99 tickets for
Saturday’s game. How many
tickets did they sell in all?
Use mental math to add.
A 25
B 26
C 170
D 172
3. Which is NOT a way to say the
time shown on the clock below?
11 12 1
10
2
9
3
8
4
7 6 5
© Pearson Education, Inc. 4
A
B
C
D
Fifteen minutes to eight
Seven forty-five
Quarter past seven
Quarter to eight
4. What is 21,883 rounded to the
nearest hundred?
21,900
5. Destiny has 9 more stickers than
Shane. Alisa has 7 fewer stickers
than Destiny. If Shane has
20 stickers, how many stickers do
Destiny and Alisa each have?
Destiny has 29; Alisa
has 22 stickers.
6. Jake jumped 3 feet. Marco
jumped 32 inches. Who jumped
farther? Explain how you found
your answer.
Jake jumped farther.
1 ft = 12 inches, so
3 feet = 36 inches
7. Which number is missing from the
number sentence below?
7!
! 16 " 31
8
8. It takes Kiley 5 minutes to run
around the track. How many
minutes will it take her to run
around the track 5 times? Write a
number sentence to solve.
5 ! 5 " 25
Topic 2
Nat_AncTopic_2.indb 31
Daily Spiral Review 2-2
1. What is forty-six million, seven
hundred eighty thousand, two
hundred sixteen written in
standard form?
A 46,708,216
B 46,780,216
C 406,078,216
D 406,780,216
31
1/29/08 2:00:51 PM
32
Nat_AncTopic_2.indb 32
Problem of the Day 2-2
Topic 2
Problem
of the
Day
2-2
2-2
1/29/08 2:11:44 PM
© Pearson Education, Inc. 4
Problem of the Day
Jayden wants to buy a
baseball cap. He has 8 dollar
bills and 15 dimes. Does he
have enough money $9.45
to buy the cap?
Name
1. The longest river in the world is
the Nile River. It is 4,132 miles
long. The longest river in the
United States is the Missouri River.
It is 2,540 miles long. Which is the
best estimate of the difference
in the lengths of the Nile and
Missouri rivers?
2-2
2. Sue saved up $286. Then she
received $75 for her birthday.
About how much money does Sue
have now?
A $80
B $300
C $370
Quick Check 2-2
A 1,000
Quick Check
D $500
B 1,600
C 2,000
D 6,600
© Pearson Education, Inc. 4
3. Writing to Explain Zoe said the best way to estimate
2,498 – 639 is to round each number to the nearest
hundred. Sam said the best way to estimate is to round
each number to the nearest thousand. Who is correct?
Explain your answer.
Topic 2
Nat_AncTopic_2.indb 33
33
1/29/08 2:11:45 PM
Name
1. The longest river in the world is
the Nile River. It is 4,132 miles
long. The longest river in the
United States is the Missouri River.
It is 2,540 miles long. Which is the
best estimate of the difference
in the lengths of the Nile and
Missouri rivers?
2-2
2. Sue saved up $286. Then she
received $75 for her birthday.
About how much money does Sue
have now?
A $80
B $300
C $370
Quick Check 2-2
A 1,000
Quick Check
D $500
B 1,600
C 2,000
D 6,600
3. Writing to Explain Zoe said the best way to estimate
2,498 – 639 is to round each number to the nearest
hundred. Sam said the best way to estimate is to round
each number to the nearest thousand. Who is correct?
Explain your answer.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 2
Nat_AncTopic_2.indb 33
33
1/29/08 2:00:54 PM
Name
Reteaching
2-2
Estimating Sums and
Differences of Whole Numbers
Reteaching 2-2
Rounding can be used to estimate sums and differences.
To estimate 1,436 ! 422:
To estimate 3,635 " 1,498:
Rounding
Rounding
1,436 rounds to 1,400
422
rounds to 400
1,400 ! 400 # 1,800
3,635 rounds to 3,600
1,498 rounds to 1,500
3,600 " 1,500 # 2,100
Estimate each sum or difference.
1.
5.
265
! 426
!
2,189
388
2.
348
! 122
3.
562
" 223
4.
824
" 590
6.
1,329
! 5,345
7.
877
" 475
8.
9,245
" 4,033
9. 788 ! 212 #
10. 9,769 " 4,879 #
11. 65,328 " 14,231 #
12. 32,910 ! 4,085 #
14. The fourth graders are helping raise money for the local animal
shelter. They hoped to raise $1,000. So far they have made
$465 in bake sales and $710 in T-shirt sales. About how much
more than $1,000 have they raised?
34
Nat_AncTopic_2.indb 34
© Pearson Education, Inc. 4
13 . Number Sense Is 976 " 522 more or less than 400? Explain
how you can tell without actually subtracting.
Topic 2
1/29/08 2:11:46 PM
Name
Reteaching
2-2
Estimating Sums and
Differences of Whole Numbers
Reteaching 2-2
Rounding can be used to estimate sums and differences.
To estimate 1,436 ! 422:
To estimate 3,635 " 1,498:
Rounding
Rounding
1,436 rounds to 1,400
422
rounds to 400
1,400 ! 400 # 1,800
Estimate each sum or difference.
1.
265
! 426
2.
700
5.
!
2,189
388
2,600
9.
10.
11.
12.
3,635 rounds to 3,600
1,498 rounds to 1,500
3,600 " 1,500 # 2,100
Sample answers are given.
348
! 122
3.
1,329
! 5,345
7.
470
6.
562
" 223
4.
877
" 475
8.
824
" 590
400
6,600
788 ! 212 #
1,000
9,769 " 4,879 #
4,900
65,328 " 14,231 #
51,000
32,910 ! 4,085 #
37,000
200
400
9,245
" 4,033
5,200
13 . Number Sense Is 976 " 522 more or less than 400? Explain
how you can tell without actually subtracting.
14. The fourth graders are helping raise money for the local animal
shelter. They hoped to raise $1,000. So far they have made
$465 in bake sales and $710 in T-shirt sales. About how much
more than $1,000 have they raised?
$ 200
34
Nat_AncTopic_2.indb 34
© Pearson Education, Inc. 4
More; 1,000 ! 500 " 500
Topic 2
1/29/08 2:00:55 PM
Name
Practice
2-2
Estimating Sums and
Differences of Whole Numbers
Estimate each sum or difference.
627
829
1. " 95
2. ! 292
987
3. ! 233
5. 4,263 ! 1,613
1,568
352
6. 7,502 " 2,187
8. 64,099 ! 55,555
10. About how much larger is the largest
ocean than the smallest ocean?
Practice 2-2
7. 24,141 ! 2,177
4. "
9. 83,595 " 18,999
Ocean Area
Ocean
Area (million sq km)
Arctic Ocean
Atlantic Ocean
Indian Ocean
Pacific Ocean
14,056
76,762
68,556
155,557
11. About how many million square kilometers do all the oceans
together cover?
12. Mallory is a pilot. Last week she flew the following round trips
in miles: 2,020; 1,358; 952; 2,258; and 1,888. Which of the
following is a good estimate of the miles Mallory flew last week?
A 6,000 mi
B 6,800 mi
C 7,000 mi
D 8,000 mi
© Pearson Education, Inc. 4
13. Writing to Explain Explain how you would estimate to
subtract 189 from 643.
Topic 2
Nat_AncTopic_2.indb 35
35
1/29/08 2:11:47 PM
Name
Practice
2-2
Estimating Sums and
Differences of Whole Numbers
Estimate each sum or difference. Sample answers are given.
627
95
829
2. ! 292
700
500
2,700
1. "
5. 4,263 ! 1,613
800
6. 7,502 " 2,187
8. 64,099 ! 55,555
22,000
4. "
Sample answer:
About 142,000
million sq km
2,000
10,000
9. 83,595 " 18,999
8,000
10. About how much larger is the largest
ocean than the smallest ocean?
1,568
352
Practice 2-2
7. 24,141 ! 2,177
987
3. ! 233
103,000
Ocean Area
Ocean
Area (million sq km)
Arctic Ocean
Atlantic Ocean
Indian Ocean
Pacific Ocean
14,056
76,762
68,556
155,557
11. About how many million square kilometers do all the oceans
together cover?
Sample answer:
About 316,000 million sq km
12. Mallory is a pilot. Last week she flew the following round trips
in miles: 2,020; 1,358; 952; 2,258; and 1,888. Which of the
following is a good estimate of the miles Mallory flew last week?
A 6,000 mi
B 6,800 mi
C 7,000 mi
D 8,000 mi
© Pearson Education, Inc. 4
13. Writing to Explain Explain how you would estimate to
subtract 189 from 643.
Sample answer: Estimate by rounding
each number to the nearest hundred;
600 ! 200 " 400.
Topic 2
Nat_AncTopic_2.indb 35
35
1/29/08 2:00:56 PM
Name
Enrichment
2-2
Canyon Trip
Enrichment 2-2
You are going on a three-day camping trip
in the Grand Canyon. The chart shows the
weights of some equipment you may need.
Each person must take at least 2 water
canteens and 3 food tins on the trip.
1. You are going to hike alone and carry
a backpack. The backpack can hold
up to 25 lb. What equipment will you
take on the trip?
Decision Making
Equipment
Water canteen
Food tin
Compass
Shovel
Binoculars
Tent
Chair
Pillow
Extra clothes
Cooking pots/pans
Sleeping cushion
Weight (lb)
1
2
1
5
3
8
10
2
7
30
4
2. You are hiking with 2 friends. Each will carry 1 backpack.
The 3 of you can carry up to 75 lb. You will only need
1 tent. What equipment will you take on the trip?
© Pearson Education, Inc. 4
3. You and 4 friends are taking a donkey on the trip. The donkey
can carry 180 lb. You will not take backpacks. You will need
2 tents. What equipment will you take on the trip?
36
Nat_AncTopic_2.indb 36
Topic 2
1/29/08 2:11:48 PM
Name
Enrichment
2-2
Canyon Trip
Enrichment 2-2
You are going on a three-day camping trip
in the Grand Canyon. The chart shows the
weights of some equipment you may need.
Each person must take at least 2 water
canteens and 3 food tins on the trip.
1. You are going to hike alone and carry
a backpack. The backpack can hold
up to 25 lb. What equipment will you
take on the trip?
2 canteens, 3 food
tins, compass, tent,
extra clothes; Total
must be ! 25 lb.
Decision Making
Equipment
Weight (lb)
Water canteen
Food tin
Compass
Shovel
Binoculars
Tent
Chair
Pillow
Extra clothes
Cooking pots/pans
Sleeping cushion
1
2
1
2. You are hiking with 2 friends. Each will carry 1 backpack.
The 3 of you can carry up to 75 lb. You will only need
1 tent. What equipment will you take on the trip?
5
3
8
10
2
7
30
4
Sample
answers
for 1–3.
6 canteens, 9 food tins, compass, tent,
3 extra clothes, chair, shovel, pillow,
sleeping cushion; Total must be ! 75 lb.
Sample answer: 10 canteens, 15 food
tins, 2 tents, compass, 5 extra clothes,
pots and pans, 5 chairs, and binoculars;
Total must be ! 180 lb.
36
Nat_AncTopic_2.indb 36
© Pearson Education, Inc. 4
3. You and 4 friends are taking a donkey on the trip. The donkey
can carry 180 lb. You will not take backpacks. You will need
2 tents. What equipment will you take on the trip?
Topic 2
1/29/08 2:00:57 PM
Name
Daily Spiral Review
2-3
1. Harriet brought 86 cookies to
the school bake sale. She sold
45 cookies. How many cookies did
Harriet have left? Use mental math
to subtract.
A 51
B 41
C 31
D 11
3. Rocco started to practice karate
at 3:00 P.M. He finished at the time
shown on the clock below. How
long did he practice karate?
5. Luis has eight tickets for the school
spree day. He needs three for the
dunk tank, four for the moon walk,
and two for the coin toss. Does
Luis have enough tickets for all
three events? Explain why or
why not.
Daily Spiral Review 2-3
2. Shauna bought a book for $7
and a calculator for $21. About
how much did she spend for
both items?
A $50
B $30
C $20
D $10
4. Maria’s school has 248 students
enrolled. How many is that rounded
to the nearest ten?
6. Roberto eats two muffins every
day. How many muffins does he
eat in a week (7 days)?
P.M.
11 12 1
10
2
9
3
8
4
7 6 5
1 hour
1 hour 45 minutes
15 minutes
45 minutes
© Pearson Education, Inc. 4
A
B
C
D
Topic 2
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37
1/29/08 2:11:48 PM
Name
Daily Spiral Review
2-3
1. Harriet brought 86 cookies to
the school bake sale. She sold
45 cookies. How many cookies did
Harriet have left? Use mental math
to subtract.
A 51
B 41
C 31
D 11
3. Rocco started to practice karate
at 3:00 P.M. He finished at the time
shown on the clock below. How
long did he practice karate?
250
5. Luis has eight tickets for the school
spree day. He needs three for the
dunk tank, four for the moon walk,
and two for the coin toss. Does
Luis have enough tickets for all
three events? Explain why or
why not.
No, he needs nine
but only has eight.
Daily Spiral Review 2-3
2. Shauna bought a book for $7
and a calculator for $21. About
how much did she spend for
both items?
A $50
B $30
C $20
D $10
4. Maria’s school has 248 students
enrolled. How many is that rounded
to the nearest ten?
6. Roberto eats two muffins every
day. How many muffins does he
eat in a week (7 days)?
14 muffins
P.M.
11 12 1
10
2
9
3
8
4
7 6 5
1 hour
1 hour 45 minutes
15 minutes
45 minutes
© Pearson Education, Inc. 4
A
B
C
D
Topic 2
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37
1/29/08 2:00:57 PM
38
Nat_AncTopic_2.indb 38
Problem of the Day 2-3
Topic 2
Problem
of the
Day
2-3
2-3
1/29/08 2:11:49 PM
© Pearson Education, Inc. 4
Problem of the Day
What information is needed to solve
the problem?
In a football game, the winning
team passed for 47 more yards than
the losing team. How many yards
did the winning team pass for?
Name
1. Mark has 11 yellow or red fish and
a frog. There are 4 red fish. How
many fish are yellow?
Quick Check
2-3
2. Josie has 13 red or blue fish. How
many are blue?
A 6
A 4
B 7
B 5
C 19
C 7
D Not enough information
D Not enough information
A 2 miles
B 3 miles
C 6 miles
D Not enough information
4. The department store has a total
of 48 straight-leg jeans and
bell-bottom jeans on sale for
$24.99 each pair. They have equal
numbers of the two types. How
many pairs of straight-leg jeans do
they have?
Quick Check 2-3
3. Max drove 5 miles from his home
to the mall, with a stop first at the
gas station. The gas station is
2 miles from the mall. How far is it
from his house to the gas station?
A 2
B 24
C 48
D Not enough information
© Pearson Education, Inc. 4
5. Writing to Explain Lucy danced for an hour, practicing
ballet, jazz, and tap. She practiced twice as long on jazz as
on tap. She practiced ballet as many minutes as tap. Explain
whether you have enough information to find the number of
minutes she practiced tap. If so, write a number sentence.
Topic 2
Nat_AncTopic_2.indb 39
39
1/29/08 2:11:50 PM
Name
1. Mark has 11 yellow or red fish and
a frog. There are 4 red fish. How
many fish are yellow?
Quick Check
2-3
2. Josie has 13 red or blue fish. How
many are blue?
A 6
A 4
B 7
B 5
C 19
C 7
D Not enough information
D Not enough information
A 2 miles
B 3 miles
C 6 miles
D Not enough information
4. The department store has a total
of 48 straight-leg jeans and
bell-bottom jeans on sale for
$24.99 each pair. They have equal
numbers of the two types. How
many pairs of straight-leg jeans do
they have?
Quick Check 2-3
3. Max drove 5 miles from his home
to the mall, with a stop first at the
gas station. The gas station is
2 miles from the mall. How far is it
from his house to the gas station?
A 2
B 24
C 48
D Not enough information
5. Writing to Explain Lucy danced for an hour, practicing
ballet, jazz, and tap. She practiced twice as long on jazz as
on tap. She practiced ballet as many minutes as tap. Explain
whether you have enough information to find the number of
minutes she practiced tap. If so, write a number sentence.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 2
Nat_AncTopic_2.indb 39
39
1/29/08 2:00:59 PM
Name
Reteaching
Problem Solving:
Missing or Extra Information
2-3
Some problems contain too much or too little information. If a problem has missing information, you cannot
solve it. If a problem has extra information, you need to figure out what information is needed to solve
the problem.
Step 2: Plan and Solve
Mark has $40. Nora has $45. How much
money will Mark have left if he buys a
CD for $15?
To solve this problem, you need to find
out how much money Mark will have left
over after he buys a CD.
Decide which information you need to solve
the problem and what is extra information.
Reteaching 2-3
Step 1: Read and Understand
You need to know how much money Mark has
and how much the CD costs. You do not need
to know how much money Nora has.
Then, subtract the amount of money Mark
spent on the CD from the amount of money
he had.
40 ! 15 " 25
Mark has $25 left.
Larissa volunteers at a wildlife group. One of her jobs is to
photocopy a flyer and give copies to her friends and neighbors.
Last month Larissa made 45 copies. There were 15 in color and
30 in black and white. This month Larissa made 75 copies.
1. Do you have enough information to find out how many
copies Larissa made in the last 2 months? Explain.
In order to raise money for the National Pet Association, Karl plans to sell
bags of pet treats. He will fill 100 bags of treats. He made bags of treats for
cats and bags of treats for dogs. How many dog treats did Karl use?
3. Do you have enough information to find out how many bags of dog treats
Karl made?
40
Nat_AncTopic_2.indb 40
© Pearson Education, Inc. 4
2. What information did you not use to solve this problem?
Topic 2
1/29/08 2:11:50 PM
Name
Reteaching
Problem Solving:
Missing or Extra Information
2-3
Some problems contain too much or too little information. If a problem has missing information, you cannot
solve it. If a problem has extra information, you need to figure out what information is needed to solve
the problem.
Step 2: Plan and Solve
Mark has $40. Nora has $45. How much
money will Mark have left if he buys a
CD for $15?
To solve this problem, you need to find
out how much money Mark will have left
over after he buys a CD.
Decide which information you need to solve
the problem and what is extra information.
Reteaching 2-3
Step 1: Read and Understand
You need to know how much money Mark has
and how much the CD costs. You do not need
to know how much money Nora has.
Then, subtract the amount of money Mark
spent on the CD from the amount of money
he had.
40 ! 15 " 25
Mark has $25 left.
Larissa volunteers at a wildlife group. One of her jobs is to
photocopy a flyer and give copies to her friends and neighbors.
Last month Larissa made 45 copies. There were 15 in color and
30 in black and white. This month Larissa made 75 copies.
1. Do you have enough information to find out how many
copies Larissa made in the last 2 months? Explain.
Yes, Larissa made 45 copies last
month and 75 copies this month.
In order to raise money for the National Pet Association, Karl plans to sell
bags of pet treats. He will fill 100 bags of treats. He made bags of treats for
cats and bags of treats for dogs. How many dog treats did Karl use?
2. What information did you not use to solve this problem?
3. Do you have enough information to find out how many bags of dog treats
Karl made?
No, you need to know the number of
bags of cat treats.
40
Nat_AncTopic_2.indb 40
© Pearson Education, Inc. 4
The number of colored and black and
white copies.
Topic 2
1/29/08 2:01:00 PM
Name
Practice
Problem Solving:
Missing or Extra Information
2-3
For 1 through 3, decide if each problem has extra information or
not enough information. Tell any information that is not needed or
that is missing. Solve if you have enough information.
1. Kendall pitches for his school’s baseball team. Every game
Kendall pitches, he averages 5 strikeouts per game. Each
game is about 2 hours. If Kendall pitches in 7 games during
the season, how many strikeouts will he have?
Practice 2-3
2. Geometry Yolanda is putting up a fence for her dog in the
shape of a square. Each foot of fencing costs $7. If Yolanda
is planning to have each side of the fence be 10 feet long,
how many feet of fencing will Yolanda need?
3. Gretchen sings and plays guitar in a band after school. If
Gretchen sings half of the songs the band knows, how many
songs does the band know?
4. What do you need to know if you’re trying to find the year
George Washington was born and you know he died in 1799?
A The current year
C How old he was when he died
B The exact date he died
D There is enough information.
© Pearson Education, Inc. 4
5. Writing to Explain If you wanted to write a word problem
about how much money the fourth-grade class collected at
their bake sale, what information would you need to include?
Topic 2
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41
1/29/08 2:11:51 PM
Name
Practice
Problem Solving:
Missing or Extra Information
2-3
For 1 through 3, decide if each problem has extra information or
not enough information. Tell any information that is not needed or
that is missing. Solve if you have enough information.
1. Kendall pitches for his school’s baseball team. Every game
Kendall pitches, he averages 5 strikeouts per game. Each
game is about 2 hours. If Kendall pitches in 7 games during
the season, how many strikeouts will he have?
Practice 2-3
Extra information. Each game is
2 hours long. About 35 strikeouts.
2. Geometry Yolanda is putting up a fence for her dog in the
shape of a square. Each foot of fencing costs $7. If Yolanda
is planning to have each side of the fence be 10 feet long,
how many feet of fencing will Yolanda need?
Extra information. Each foot of fencing
costs $7. She will need 40 ft of fencing.
3. Gretchen sings and plays guitar in a band after school. If
Gretchen sings half of the songs the band knows, how many
songs does the band know?
Not enough information. I need to know
how many songs Gretchen sings.
4. What do you need to know if you’re trying to find the year
George Washington was born and you know he died in 1799?
A The current year
C How old he was when he died
B The exact date he died
D There is enough information.
© Pearson Education, Inc. 4
5. Writing to Explain If you wanted to write a word problem
about how much money the fourth-grade class collected at
their bake sale, what information would you need to include?
How many items they sold and
how much each item cost.
Topic 2
Nat_AncTopic_2.indb 41
41
1/29/08 2:01:01 PM
Name
Enrichment
2-3
Birdhouses
Cecilia owns a store that specializes in selling decorated
birdhouses. The table at the right shows the number of
birdhouses Cecilia sold each month. Write an expression to
represent the following situations.
1. How many birdhouses did Cecilia sell in May
and June together?
Enrichment 2-3
2. How many more birdhouses did Cecilia sell
in October than in September?
3. What is the total number of birdhouses Cecilia
sold from February through May?
4. If Cecilia sold 152 birdhouses in May, how
many birdhouses did she sell in January and
May combined?
Algebra
Birdhouses Sold
January
417
February
379
March
341
April
262
May
m
June
89
July
76
August
94
September
s
October
296
November
439
December
611
5. If Cecilia sold 257 birdhouses in September, how many more
birdhouses did she sell in September than in August?
© Pearson Education, Inc. 4
6. The company that makes the birdhouses is now charging $4
more for each birdhouse. If Cecilia used to pay b for each
birdhouse, how much will she need to pay now?
42
Nat_AncTopic_2.indb 42
Topic 2
1/29/08 2:11:52 PM
Name
Enrichment
2-3
Birdhouses
Cecilia owns a store that specializes in selling decorated
birdhouses. The table at the right shows the number of
birdhouses Cecilia sold each month. Write an expression to
represent the following situations.
1. How many birdhouses did Cecilia sell in May
and June together?
m ! 89
Enrichment 2-3
2. How many more birdhouses did Cecilia sell
in October than in September?
296 " s
3. What is the total number of birdhouses Cecilia
sold from February through May?
379 ! 341 ! 262 ! m
4. If Cecilia sold 152 birdhouses in May, how
many birdhouses did she sell in January and
May combined?
Algebra
Birdhouses Sold
January
417
February
379
March
341
April
262
May
m
June
89
July
76
August
94
September
s
October
296
November
439
December
611
417 ! 152
5. If Cecilia sold 257 birdhouses in September, how many more
birdhouses did she sell in September than in August?
257 " 94
6. The company that makes the birdhouses is now charging $4
more for each birdhouse. If Cecilia used to pay b for each
birdhouse, how much will she need to pay now?
© Pearson Education, Inc. 4
b ! $4
42
Nat_AncTopic_2.indb 42
Topic 2
1/29/08 2:01:01 PM
Name
1. On Friday, Dave read 27 pages of
his new book. On Saturday, he read
62 pages. How many pages did
Dave read in two days? Use mental
math to add.
A 99
B 97
C 89
D 79
Use the table below for 4 through 7.
The students at Martha’s school were
surveyed about their favorite animal
they saw at the zoo.
Animals
Lion
Tiger
Monkey
Bear
Votes
216
378
192
139
4. Rounded to the nearest ten, how
many students voted for the bear?
5. About how many students
voted for the lion and the tiger
altogether?
6. How many more students voted for
the monkey than for the bear?
7. Write a number sentence to show
about how many students voted
in all.
© Pearson Education, Inc. 4
3. A newspaper sold 13,441,902
copies last week. The editor
wants to round that number to the
nearest hundred thousand for a
report. Which number will he use
in the report?
A 13,000,000
B 13,400,000
C 13,441,900
D 13,500,000
2-4
Daily Spiral Review 2-4
2. Marco bought a pair of pants for
$36 and a hat for $12. About how
much did Marco spend?
A $50
B $46
C $40
D $30
Daily Spiral Review
Topic 2
Nat_AncTopic_2.indb 43
43
1/29/08 2:11:52 PM
Name
1. On Friday, Dave read 27 pages of
his new book. On Saturday, he read
62 pages. How many pages did
Dave read in two days? Use mental
math to add.
A 99
B 97
C 89
D 79
Use the table below for 4 through 7.
The students at Martha’s school were
surveyed about their favorite animal
they saw at the zoo.
Animals
Lion
Tiger
Monkey
Bear
Votes
216
378
192
139
4. Rounded to the nearest ten, how
many students voted for the bear?
140
5. About how many students
voted for the lion and the tiger
altogether?
600
6. How many more students voted for
the monkey than for the bear?
53
7. Write a number sentence to show
about how many students voted
in all.
200 + 400 + 200 + 100
© Pearson Education, Inc. 4
3. A newspaper sold 13,441,902
copies last week. The editor
wants to round that number to the
nearest hundred thousand for a
report. Which number will he use
in the report?
A 13,000,000
B 13,400,000
C 13,441,900
D 13,500,000
2-4
Daily Spiral Review 2-4
2. Marco bought a pair of pants for
$36 and a hat for $12. About how
much did Marco spend?
A $50
B $46
C $40
D $30
Daily Spiral Review
Topic 2
Nat_AncTopic_2.indb 43
43
1/29/08 2:01:02 PM
44
Nat_AncTopic_2.indb 44
Problem of the Day 2-4
Topic 2
Problem
of the
Day
2-4
1/29/08 2:11:53 PM
© Pearson Education, Inc. 4
Problem of the Day
A community garden produced
106 tomatoes the first week,
238 tomatoes the next week, and
354 tomatoes the third week.
Estimate the number of tomatoes
that were produced altogether
during the three weeks.
2-4
Name
Quick Check
2-4
1. Juliana read 86 pages of her book
last week. She read 58 pages of
her book this week. How many
pages of her book did she read in
both weeks?
2. The third, fourth, and fifth grades
collected aluminum cans for the
recycling drive as shown in the
table below. How many cans did
they collect altogether?
A 171
B 144
Grade
Third
Fourth
Fifth
C 32
D 28
Number of Cans
Collected
1,488
1,872
2,087
A 3,360
Quick Check 2-4
B 4,237
C 5,407
D 5,447
3. Writing to Explain Michael added the numbers
3,428 ! 5,125. His work is shown below. His answer is
not correct. Explain what he did wrong. Then, correctly
answer the problem.
3
© Pearson Education, Inc. 4
3,428
! 5,125
8,571
Topic 2
Nat_AncTopic_2.indb 45
45
1/29/08 2:11:54 PM
Name
Quick Check
2-4
1. Juliana read 86 pages of her book
last week. She read 58 pages of
her book this week. How many
pages of her book did she read in
both weeks?
2. The third, fourth, and fifth grades
collected aluminum cans for the
recycling drive as shown in the
table below. How many cans did
they collect altogether?
A 171
B 144
Grade
Third
Fourth
Fifth
C 32
D 28
Number of Cans
Collected
1,488
1,872
2,087
A 3,360
Quick Check 2-4
B 4,237
C 5,407
D 5,447
3. Writing to Explain Michael added the numbers
3,428 ! 5,125. His work is shown below. His answer is
not correct. Explain what he did wrong. Then, correctly
answer the problem.
3
3,428
! 5,125
8,571
© Pearson Education, Inc. 4
See student samples to the right.
Topic 2
Nat_AncTopic_2.indb 45
45
1/29/08 2:01:04 PM
Name
Reteaching
2-4
Adding Whole Numbers
You can add more than two numbers when you line up the
numbers by place value and add one place at a time.
Add 3,456 ! 139 ! 5,547.
Estimate: 3,000 ! 100 ! 6,000 " 9,100
Step 1
Line up numbers by
place value.
Add the ones.
Step 2
Add the tens.
Regroup if needed.
Step 3
Add the hundreds, then
the thousands.
Continue to regroup.
Regroup if needed.
2
Reteaching 2-4
3,456
139
5,547
22 becomes
2 tens and
2 ones.
1 2
1 12
3,456
139
5,547
3,456
139
5,547
42
9,142
2
Keep digits in neat
columns as you add.
9,142 is close to the
estimate of 9,100.
Add.
1.
945
124
! 343
2.
4.
2,955
9,017
! 248
5.
2,588
373
! 866
!
16,699
3,311
32,484
3.
6.
12,566
8,222
! 5,532
3,881
1,735
! 364
© Pearson Education, Inc. 4
7. Number Sense Jill added 450 ! 790 ! 123 and got 1,163.
Is this sum reasonable?
46
Nat_AncTopic_2.indb 46
Topic 2
1/29/08 2:11:54 PM
Name
Reteaching
2-4
Adding Whole Numbers
You can add more than two numbers when you line up the
numbers by place value and add one place at a time.
Add 3,456 ! 139 ! 5,547.
Estimate: 3,000 ! 100 ! 6,000 " 9,100
Step 1
Line up numbers by
place value.
Add the ones.
Step 2
Add the tens.
Regroup if needed.
Step 3
Add the hundreds, then
the thousands.
Continue to regroup.
Regroup if needed.
2
Reteaching 2-4
3,456
139
5,547
22 becomes
2 tens and
2 ones.
1 2
1 12
3,456
139
5,547
3,456
139
5,547
42
9,142
2
Keep digits in neat
columns as you add.
9,142 is close to the
estimate of 9,100.
Add.
1.
945
124
! 343
2.
2,588
373
! 866
3.
12,566
8,222
! 5,532
1,412
3,827
26,320
4.
5.
6.
2,955
9,017
! 248
12,220
!
16,699
3,311
32,484
52,494
3,881
1,735
! 364
5,980
No, the sum should be closer to 1,400.
46
Nat_AncTopic_,.indb 46
© Pearson Education, Inc. 4
7. Number Sense Jill added 450 ! 790 ! 123 and got 1,163.
Is this sum reasonable?
Topic 2
1/,5/08 ,:01:04 9M
Name
Practice
2-4
Adding Whole Numbers
Add.
1.
5.
486
875
! 45
54,236
223
! 7,856
2.
4,334
4,948
!
890
3.
6.
80
960
4
! 1,986
7.
938
1,487
! 8,947
27,987
2,096
15,098
! 7,945
4.
7,226
1,587
! 72,984
8.
8,738
5,234
836
! 237
10. What is the combined
length of the three
longest glaciers?
11. What is the total
combined length of
the four longest
glaciers in the world?
Practice 2-4
9. Number Sense Luke added 429 ! 699 ! 314 and got 950.
Is this sum reasonable?
World’s Longest Glaciers
Glacier
Length (miles)
Lambert-Fisher Ice Passage
Novaya Zemlya
Arctic Institute Ice Passage
320
260
225
Nimrod-Lennox-King
180
12. Which is the sum of 3,774 ! 8,276 ! 102?
© Pearson Education, Inc. 4
A 1,251
B 12,152
C 13,052
D 102,152
13. Writing to Explain Leona added 6,641 ! 1,482 ! 9,879.
Should her answer be more than or less than 15,000?
Topic 2
Nat_AncTopic_2.indb 47
47
1/29/08 2:11:55 PM
Name
Practice
2-4
Adding Whole Numbers
Add.
1.
486
875
! 45
2.
1,406
5.
54,236
223
! 7,856
62,315
4,334
4,948
!
890
10,172
6.
80
960
4
! 1,986
3.
4.
938
1,487
! 8,947
11,372
7.
81,797
8.
27,987
2,096
15,098
! 7,945
3,030
7,226
1,587
! 72,984
53,126
8,738
5,234
836
! 237
15,045
No, his answer should be closer to 1,400.
10. What is the combined
length of the three
longest glaciers?
805 mi
11. What is the total
combined length of
the four longest
glaciers in the world?
Practice 2-4
9. Number Sense Luke added 429 ! 699 ! 314 and got 950.
Is this sum reasonable?
World’s Longest Glaciers
Glacier
Length (miles)
Lambert-Fisher Ice Passage
Novaya Zemlya
Arctic Institute Ice Passage
Nimrod-Lennox-King
320
260
225
180
985 mi
12. Which is the sum of 3,774 ! 8,276 ! 102?
© Pearson Education, Inc. 4
A 1,251
B 12,152
C 13,052
D 102,152
13. Writing to Explain Leona added 6,641 ! 1,482 ! 9,879.
Should her answer be more than or less than 15,000?
Leona’s answer should be more than
15,000.
Topic 2
Nat_AncTopic_2.indb 47
47
1/29/08 2:01:05 PM
Name
Enrichment
2-4
Use Your Head
Enrichment 2-4
Look at the problem and the answer. Without actually adding
the problem, decide whether or not the given answer is
reasonable. Write Yes or No and explain your answer.
1.
224
303
! 125
652
2.
300
478
! 213
991
3.
24
56
! 15
83
4.
18,207
4,956
! 2,345
101,217
6.
2,341
4,750
! 1,532
80,623
5.
© Pearson Education, Inc. 4
!
31,058
20,790
18,903
70,751
Reasonableness
48
Nat_AncTopic_2.indb 48
Topic 2
1/29/08 2:11:56 PM
Name
Enrichment
2-4
Use Your Head
Look at the problem and the answer. Without actually adding
the problem, decide whether or not the given answer is
reasonable. Write Yes or No and explain your answer.
224
303
! 125
652
2.
Enrichment 2-4
Yes; The answer
should be close
to 650.
3.
24
56
! 15
83
Yes; The answer
should be about
1,000.
4.
No; The answer
should be close
to 100.
5.
!
31,058
20,790
18,903
70,751
Yes; The answer
should be close
to 70,000.
48
Nat_AncTopic_2.indb 48
300
478
! 213
991
18,207
4,956
! 2,345
101,217
No; The answer
should be about
25,500.
6.
2,341
4,750
! 1,532
80,623
No; The answer
should be about
8,600.
© Pearson Education, Inc. 4
1.
Reasonableness
Topic 2
1/29/08 2:01:06 PM
Name
Daily Spiral Review
2-5
1. Paula’s family sells lemonade at
county fairs during the summer.
The chart below shows how
many cups of lemonade they
sold each month.
Lemonade Sales
Number of
Cups Sold
Month
May
410
June
1,438
July
4,899
August
2,145
TOTAL
4. Jasmine handed out fliers for a
charity event. She started with
75 fliers and ended with 21. How
many fliers did Jasmine hand out?
Show your work.
5. Multiply 12 ! 4.
6. Multiply 2 ! 10.
A
B
C
D
Daily Spiral Review 2-5
What was the total number of cups
Paula’s family sold?
8,453
8,763
8,882
8,892
© Pearson Education, Inc. 4
2. What is 12,389 rounded to the
nearest hundred?
A 12,000
B 12,300
C 12,390
D 12,400
3. If there are 10,000 bees in 1 hive,
how many bees are in 5 hives?
A 5,000
B 50,000
C 500,000
D 5,000,000
Topic 2
Nat_AncTopic_,.indb 42
49
1/,2/08 ,:11:59 :M
Name
Daily Spiral Review
2-5
1. Paula’s family sells lemonade at
county fairs during the summer.
The chart below shows how
many cups of lemonade they
sold each month.
Lemonade Sales
Number of
Cups Sold
Month
May
410
June
1,438
July
4,899
August
2,145
TOTAL
4. Jasmine handed out fliers for a
charity event. She started with
75 fliers and ended with 21. How
many fliers did Jasmine hand out?
Show your work.
54
5. Multiply 12 ! 4.
48
6. Multiply 2 ! 10.
20
A
B
C
D
Daily Spiral Review 2-5
What was the total number of cups
Paula’s family sold?
8,453
8,763
8,882
8,892
© Pearson Education, Inc. 4
2. What is 12,389 rounded to the
nearest hundred?
A 12,000
B 12,300
C 12,390
D 12,400
3. If there are 10,000 bees in 1 hive,
how many bees are in 5 hives?
A 5,000
B 50,000
C 500,000
D 5,000,000
Topic 2
Nat_AncTopic_2.indb 49
49
1/29/08 2:01:07 PM
50
Nat_AncTopic_2.indb 50
Problem of the Day 2- 5
Topic 2
Problem
of the
Day
2-5
1/29/08 2:11:57 PM
© Pearson Education, Inc. 4
Problem of the Day
Tomás has 67 baseball
cards and 48 football
cards in his collection.
How many sports cards
does Tomás have in all?
2-5
Name
1. 559 ! 381
Quick Check
2-5
2. 1,667 ! 763
A 178
A 840
B 228
B 894
C 238
C 904
D 940
D 940
3. Hannah scored 5,772 points
playing her favorite computer
game. Joshua scored 4,881 points
on the same game. How many
more points did Hannah score
than Joshua?
A 891
Quick Check 2-5
B 999
C 1,001
D 1,111
© Pearson Education, Inc. 4
4. Writing to Explain Jeremy earned a total of $288 mowing
lawns this summer. He plans to use the money he earned to
buy a new bike. If the bike costs $279, how much money will
Jeremy have left? Explain how you found your answer.
Topic 2
Nat_AncTopic_2.indb 51
51
1/29/08 2:11:58 PM
Name
1. 559 ! 381
Quick Check
2-5
2. 1,667 ! 763
A 178
A 840
B 228
B 894
C 238
C 904
D 940
D 940
3. Hannah scored 5,772 points
playing her favorite computer
game. Joshua scored 4,881 points
on the same game. How many
more points did Hannah score
than Joshua?
A 891
Quick Check 2-5
B 999
C 1,001
D 1,111
4. Writing to Explain Jeremy earned a total of $288 mowing
lawns this summer. He plans to use the money he earned to
buy a new bike. If the bike costs $279, how much money will
Jeremy have left? Explain how you found your answer.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 2
Nat_AncTopic_2.indb 51
51
1/29/08 2:01:09 PM
Name
Reteaching
2-5
Subtracting Whole Numbers
Here is how to subtract.
Find 7,445 ! 1,368.
Estimate: 7,000 ! 1,000 " 6,000
Step 1
Step 2
Step 3
13
3 315
315
Step 4
13
3 315
13
3 315
7,4 4 5
7,4 4 5
7,4 4 5
7,4 4 5
! 1,368
! 1,368
! 1,368
! 1,368
7
77
077
6,077
Reteaching 2-5
You cannot subtract You cannot subtract Subtract 3 hundreds Subtract 1 thousand
from 7 thousands.
8 ones from 5 ones. 6 tens from 3 tens. from 3 hundreds.
You must regroup.
You must regroup.
1 1
6,077
Regroup 4 tens as 3 Regroup 4 hundreds
as 3 hundreds and
tens and 10 ones.
10 tens.
Subtract 8 ones
Subtract 6 tens from
from 15 ones.
13 tens.
# 1,368
7,445
You can check
your answer using
addition.
Subtract.
1.
624
2.
! 379
5.
4,772
!1,671
759
3.
! 211
6.
8,335
! 4,188
814
4.
! 662
7.
4,219
! 1,379
391
! 208
8.
5,216
! 2,158
© Pearson Education, Inc. 4
9. Estimation Carlos has 2,175 marbles in his collection. Emily
has 1,833 marbles in her collection. Carlos says that he has
about 1,000 more marbles than Emily. Is Carlos correct?
52
Nat_AncTopic_2.indb 52
Topic 2
1/29/08 2:11:59 PM
Name
Reteaching
2-5
Subtracting Whole Numbers
Here is how to subtract.
Find 7,445 ! 1,368.
Estimate: 7,000 ! 1,000 " 6,000
Step 1
Step 2
Step 3
13
3 315
315
Step 4
13
3 315
13
3 315
7,4 4 5
7,4 4 5
7,4 4 5
7,4 4 5
! 1,368
! 1,368
! 1,368
! 1,368
7
77
077
6,077
Reteaching 2-5
You cannot subtract You cannot subtract Subtract 3 hundreds Subtract 1 thousand
from 7 thousands.
8 ones from 5 ones. 6 tens from 3 tens. from 3 hundreds.
You must regroup.
You must regroup.
1 1
6,077
Regroup 4 tens as 3 Regroup 4 hundreds
as 3 hundreds and
tens and 10 ones.
10 tens.
Subtract 8 ones
Subtract 6 tens from
from 15 ones.
13 tens.
# 1,368
7,445
You can check
your answer using
addition.
Subtract.
1.
624
2.
! 379
245
5.
4,772
!1,671
3,101
759
3.
! 211
548
6.
8,335
! 4,188
4,147
814
4.
! 662
152
7.
4,219
! 1,379
2,840
391
! 208
183
8.
5,216
! 2,158
3,058
No; Carlos has about 400 more marbles
than Emily.
52
Nat_AncTopic_2.indb 52
© Pearson Education, Inc. 4
9. Estimation Carlos has 2,175 marbles in his collection. Emily
has 1,833 marbles in her collection. Carlos says that he has
about 1,000 more marbles than Emily. Is Carlos correct?
Topic 2
1/29/08 2:01:10 PM
Name
Practice
2-5
Subtracting Whole Numbers
Subtract.
1.
5.
7,242
! 158
2.
753
6.
! 218
3.
520
! 203
7,392
7.
! 4,597
9. 3,328 ! 1,754
848
! 257
3,898
! 1,299
10. 9,333 ! 1,555
4.
6,797
! 1,298
8. 3,721
! 459
11. 6,797 ! 1,298
12. Which of the following best describes the answer to the
subtraction problem below?
3,775 ! 1,831
A The answer is less than 1,000.
Practice 2-5
B The answer is about 1,000.
C The answer is greater than 1,000.
D You cannot tell from the information given.
13. Writing to Explain The Environmental Club’s goal is to
collect 1,525 cans by the end of the summer. The number of
cans they collected each week is shown in the table below.
How can you find the number of cans they need to collect in
week 4 to meet their goal?
Number of cans collected
378
521
339
© Pearson Education, Inc. 4
Week Number
1
2
3
4
Topic 2
Nat_AncTopic_2.indb 53
53
1/29/08 2:11:59 PM
Name
Practice
2-5
Subtracting Whole Numbers
Subtract.
1.
2.
7,242
! 158
7,084
5.
520
3.
! 203
317
6.
753
! 218
7,392
! 4,597
535
2,795
9. 3,328 ! 1,754
848
! 257
591
7.
3,898
! 1,299
2,599
4.
6,797
! 1,298
5,499
8. 3,721
! 459
3,262
1,574 10. 9,333 ! 1,5557,77811. 6,797 ! 1,298 5,499
12. Which of the following best describes the answer to the
subtraction problem below?
3,775 ! 1,831
A The answer is less than 1,000.
Practice 2-5
B The answer is about 1,000.
C The answer is greater than 1,000.
D You cannot tell from the information given.
13. Writing to Explain The Environmental Club’s goal is to
collect 1,525 cans by the end of the summer. The number of
cans they collected each week is shown in the table below.
How can you find the number of cans they need to collect in
week 4 to meet their goal?
© Pearson Education, Inc. 4
Week Number
1
2
3
4
Number of cans collected
378
521
339
287
Add the number of cans they collected
in weeks 1–3, and subtract from 1,525.
Topic 2
Nat_AncTopic_2.indb 53
53
1/29/08 2:01:11 PM
Name
Enrichment
2-5
So Many Decisions!
The local sports store is holding an anniversary sale. As part
of the sale, every 100th customer gets a chance to win prizes.
Each selected shopper gets 15 minutes to fill a shopping cart
with sporting goods and clothing. If the total price of the items
is more than $280 but less than $300, the shopper keeps
everything in the cart.
Estimation
Enrichment 2-5
Here is a list of sporting goods and clothing. Place a check
mark next to any item you would put in the cart. Then find
your total.
Item
Price
Item
Price
Baseball
Football
Basketball
Hockey puck
Baseball glove
Running shorts
Cycling gloves
Stopwatch
Football helmet
Golf clubs
$ 4.99
$17.95
$21.99
$ 8.50
$34.99
$11.50
$16.00
$ 3.49
$60.00
$99.99
Bicycle
Tennis racket
Tennis balls
Sweatshirt
Shoes
Weight set
In-line skates
Gym ball
Baseball bat
Golf balls
$ 178.99
$ 29.79
$ 7.25
$ 16.99
$ 41.50
$ 89.99
$ 53.69
$ 1.99
$ 27.99
$ 14.50
1. What is your total price?
2. Did you win your items?
© Pearson Education, Inc. 4
3. How did you decide which items to choose?
54
Nat_AncTopic_2.indb 54
Topic 2
1/29/08 2:12:00 PM
Name
Enrichment
2-5
So Many Decisions!
The local sports store is holding an anniversary sale. As part
of the sale, every 100th customer gets a chance to win prizes.
Each selected shopper gets 15 minutes to fill a shopping cart
with sporting goods and clothing. If the total price of the items
is more than $280 but less than $300, the shopper keeps
everything in the cart.
Estimation
Enrichment 2-5
Here is a list of sporting goods and clothing. Place a check
mark next to any item you would put in the cart. Then find
your total.
Item
Price
Item
Price
Baseball
Football
Basketball
Hockey puck
Baseball glove
Running shorts
Cycling gloves
Stopwatch
Football helmet
Golf clubs
$ 4.99
$17.95
$21.99
$ 8.50
$34.99
$11.50
$16.00
$ 3.49
$60.00
$99.99
Bicycle
Tennis racket
Tennis balls
Sweatshirt
Shoes
Weight set
In-line skates
Gym ball
Baseball bat
Golf balls
$ 178.99
$ 29.79
$ 7.25
$ 16.99
$ 41.50
$ 89.99
$ 53.69
$ 1.99
$ 27.99
$ 14.50
1. What is your total price?
Check students’ totals.
2. Did you win your items?
Check students’ answers.
Check that students used addition and
estimation to decide on items that
would fall within the price range.
54
Nat_AncTopic_2.indb 54
© Pearson Education, Inc. 4
3. How did you decide which items to choose?
Topic 2
1/29/08 2:01:11 PM
Name
1. Which number is thirty-two
thousand, four hundred eight
written in standard form?
A 32,480
B 32,408
C 30,248
D 30,240
2. The Wolves sold 4,038 tickets to
their soccer game. The Leopards
sold 4,048 tickets to their game.
Which shows the correct way to
compare 4,038 and 4,048?
A 4,038 ! 4,048
B 4,038 " 4,048
C 4,038 # 4,048
D 4,038 $ 4,048
Daily Spiral Review
2-6
Lilith brought 20 cans to the food drive.
Marcus brought 7 cans to the food
drive. If Paulina brought 8 more cans
than Lilith and Marcus combined, how
many cans did Paulina bring?
Paulina’s Donation = ?
20
7
8
20 % 7 % 8 # 35
So, Paulina brought 35 cans to the
food drive.
4. Did Norman answer the question
correctly? Is his work correct?
Explain.
Daily Spiral Review 2-6
© Pearson Education, Inc. 4
3. To what place is the number
12,340,000 rounded?
A Tens
B Hundreds
C Thousands
D Ten thousands
Topic 2
Nat_AncTopic_2.indb 55
55
1/29/08 2:12:01 PM
Name
1. Which number is thirty-two
thousand, four hundred eight
written in standard form?
A 32,480
B 32,408
C 30,248
D 30,240
2. The Wolves sold 4,038 tickets to
their soccer game. The Leopards
sold 4,048 tickets to their game.
Which shows the correct way to
compare 4,038 and 4,048?
A 4,038 ! 4,048
B 4,038 " 4,048
C 4,038 # 4,048
D 4,038 $ 4,048
2-6
Lilith brought 20 cans to the food drive.
Marcus brought 7 cans to the food
drive. If Paulina brought 8 more cans
than Lilith and Marcus combined, how
many cans did Paulina bring?
Paulina’s Donation = ?
20
7
8
20 % 7 % 8 # 35
So, Paulina brought 35 cans to the
food drive.
4. Did Norman answer the question
correctly? Is his work correct?
Explain.
Yes, Paulina
brought 35 cans.
Norman’s work is
correct.
© Pearson Education, Inc. 4
Daily Spiral Review 2-6
3. To what place is the number
12,340,000 rounded?
A Tens
B Hundreds
C Thousands
D Ten thousands
Daily Spiral Review
Topic 2
Nat_AncTopic_,.indb 55
55
1/,4/08 ,:01:1, PM
56
Nat_AncTopic_2.indb 52
Problem of the Day 2-6
Topic 2
Problem
of the
Day
2-6
2-6
1/25/08 2:12:02 9M
© Pearson Education, Inc. 4
Problem of the Day
Mrs. Taylor makes hummingbird
food using sugar and water. She
uses 4 cups of water for every
1 cup of sugar. How many cups of
water does she need if she has
5 cups of sugar?
Name
Quick Check
2-6
Circle the correct answer.
1. 408 − 259
2. 1,097 − 768
A 149
A 239
B 151
B 329
C 249
C 1,031
D 251
D 1,331
3. 9,070 − 4,675
A 4,395
B 4,415
C 5,275
D 5,605
Quick Check 2-6
4. Writing to Explain Petulia needed to subtract 375 from 700.
Is her answer correct? If not, explain why and write the correct answer.
9 10
© Pearson Education, Inc. 4
700
!375
425
Topic 2
Nat_AncTopic_2.indb 57
57
1/29/08 2:12:03 PM
Name
Quick Check
2-6
Circle the correct answer.
1. 408 − 259
2. 1,097 − 768
A 149
A 239
B 151
B 329
C 249
C 1,031
D 251
D 1,331
3. 9,070 − 4,675
A 4,395
B 4,415
C 5,275
D 5,605
Quick Check 2-6
4. Writing to Explain Petulia needed to subtract 375 from 700.
Is her answer correct? If not, explain why and write the correct answer.
9 10
700
!375
425
© Pearson Education, Inc. 4
See student samples to the right.
Topic 2
Nat_AncTopic_2.indb 57
57
1/29/08 2:01:14 PM
Name
Reteaching
2-6
Subtracting Across Zeros
Here is how to subtract across zeros.
Find 606 ! 377.
Estimate: 600 ! 400 " 200
Step 1
Step 2
606
377
Since there is a zero
in the tens place, you
must regroup using
the hundreds.
9
5 10 16
606
377
Regroup 10 tens
and 6 ones as 9 tens
and 16 ones.
Regroup 6 hundreds
as 5 hundreds and
10 tens.
Reteaching 2-6
Step 4
9
5 10 16
5 10
606
377
You cannot subtract
7 ones from 6 ones,
so you must regroup.
Step 3
606
377
229
Subtract.
11
229
377
606
You can check
your answer by
using addition.
Subtract.
1.
!
5.
707
58
4,507
! 3,569
2.
6.
950
! 47
3.
3,076
! 1,466
7.
800
! 638
4.
8,106
! 2,999
8.
!
3,506
866
6,083
! 1,492
© Pearson Education, Inc. 4
9. Reasonableness Lexi subtracts 9,405 from 11,138.
Should her answer be greater than or less than 2,000?
Explain.
58
Nat_AncTopic_2.indb 58
Topic 2
1/29/08 2:12:03 PM
Name
Reteaching
2-6
Subtracting Across Zeros
Here is how to subtract across zeros.
Find 606 ! 377.
Estimate: 600 ! 400 " 200
Step 1
Step 2
606
377
Since there is a zero
in the tens place, you
must regroup using
the hundreds.
9
5 10 16
606
377
Regroup 10 tens
and 6 ones as 9 tens
and 16 ones.
Regroup 6 hundreds
as 5 hundreds and
10 tens.
Reteaching 2-6
Step 4
9
5 10 16
5 10
606
377
You cannot subtract
7 ones from 6 ones,
so you must regroup.
Step 3
606
377
229
Subtract.
11
229
377
606
You can check
your answer by
using addition.
Subtract.
1.
!
707
58
2.
!
649
5.
4,507
! 3,569
938
950
47
3.
903
6.
3,076
! 1,466
1,610
800
! 638
4.
8,106
! 2,999
8.
!
162
7.
5,107
3,506
866
2,640
6,083
! 1,492
4,591
Less than; 405 is greater than 138, so
you would regroup to subtract.
58
Nat_AncTopic_2.indb 58
© Pearson Education, Inc. 4
9. Reasonableness Lexi subtracts 9,405 from 11,138.
Should her answer be greater than or less than 2,000?
Explain.
Topic 2
1/29/08 2:01:15 PM
Name
Practice
2-6
Subtracting Across Zeros
Subtract.
1.
906
45
2.
1,070
! 593
6.
!
5.
9. 7,403 ! 3,254
3,091
! 1,361
3.
8,904
! 3,596
7.
4,000
! 2,557
4.
3,007
! 2,366
8.
10. 5,067 ! 2,987
!
800
139
523
! 203
11. 6,790 ! 1,298
12. Robert set a goal to swim 1,000 laps in the local
swimming pool during his summer break. Robert has
currently finished 642 laps. How many more laps
does he have to swim in order to meet his goal?
B 358
C 468
Practice 2-6
A 332
D 472
" 694.
© Pearson Education, Inc. 4
, then 622 #
13. Writing to Explain If 694 ! 72 "
Explain the process of checking your work.
Topic 2
Nat_AncTopic_2.indb 59
59
1/29/08 2:12:04 PM
Name
Practice
2-6
Subtracting Across Zeros
Subtract.
1.
906
45
2.
1,070
! 593
6.
!
861
5.
477
3,091
! 1,361
3.
8,904
! 3,596
7.
1,730
4,000
! 2,557
4.
3,007
! 2,366
8.
!
1,443
5,308
641
800
139
661
523
! 203
320
9. 7,403 ! 3,254
10. 5,067 ! 2,987
11. 6,790 ! 1,298
4,149
2,080
5,492
12. Robert set a goal to swim 1,000 laps in the local
swimming pool during his summer break. Robert has
currently finished 642 laps. How many more laps
does he have to swim in order to meet his goal?
B 358
C 468
622
Practice 2-6
A 332
D 472
, then 622 #
13. Writing to Explain If 694 ! 72 "
Explain the process of checking your work.
72
" 694.
© Pearson Education, Inc. 4
Add to check the difference because
addition and subtraction are inverse
operations. They undo each other.
Topic 2
Nat_AncTopic_2.indb 59
59
1/29/08 2:01:16 PM
Name
Enrichment
2-6
Transportation Conclusions
Each person made a conclusion about the data in the table.
Think about each person’s conclusion. Do you agree? Explain.
Data
Airports and Railways
Number of
Airports
Length of
Railways (km)
Australia
455
47,738
Finland
148
5,741
France
501
29,085
Germany
554
47,201
Hungary
46
7,937
Japan
175
23,556
New Zealand
118
4,128
Enrichment 2-6
Country
1. Kylie compared the length of railways in Australia and
Japan. She concluded that Australia has 24,282 kilometers
of railway more than Japan.
2. Franklin looked at the number of airports in Germany
and Hungary. He concluded that Germany has 508 more
airports than Hungary.
© Pearson Education, Inc. 4
3. Theona concluded that France has 14 more airports than
Hungary, New Zealand, Finland, and Japan altogether.
60
Nat_AncTopic_2.indb 60
Topic 2
1/29/08 2:12:05 PM
Name
Enrichment
2-6
Transportation Conclusions
Each person made a conclusion about the data in the table.
Think about each person’s conclusion. Do you agree? Explain.
Data
Airports and Railways
Number of
Airports
Length of
Railways (km)
Australia
455
47,738
Finland
148
5,741
France
501
29,085
Germany
554
47,201
Hungary
46
7,937
Japan
175
23,556
New Zealand
118
4,128
Enrichment 2-6
Country
1. Kylie compared the length of railways in Australia and
Japan. She concluded that Australia has 24,282 kilometers
of railway more than Japan.
Sample
answers
are
given.
No, Kylie subtracted incorrectly.
Australia has 24,182 kilometers more
railway.
2. Franklin looked at the number of airports in Germany
and Hungary. He concluded that Germany has 508 more
airports than Hungary.
Yes, Franklin subtracted correctly and
his conclusion is correct.
Yes, Theona subtracted correctly and
her conclusion is correct.
60
Nat_AncTopic_2.indb 60
© Pearson Education, Inc. 4
3. Theona concluded that France has 14 more airports than
Hungary, New Zealand, Finland, and Japan altogether.
Topic 2
1/29/08 2:01:16 PM
Name
1. A florist delivered 24 flowers for a
birthday party and 48 flowers for
a wedding. How many flowers did
the florist deliver for both events?
Use mental math to add.
A 72
B 70
C 62
D 24
2. Rosita has $10.00. She buys a
sundae for $2.59. How much
money does she have left?
A $4.71
B $7.14
C $7.41
D $8.41
Daily Spiral Review
2-7
4. Jack travels 12 miles each day on
the school bus. How many miles
does Jack travel in 5 days?
5. The distance from Earth to the
moon is about 250,000 miles. A
spaceship can travel 50,000 miles
in a day. Can the spaceship travel
to the moon and back again in
one week?
© Pearson Education, Inc. 4
Daily Spiral Review 2-7
3. Bay City has a population of
49,542. What is Bay City’s
population rounded to the nearest
thousand?
A 49,000
B 49,542
C 50,000
D 60,000
Topic 2
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Name
1. A florist delivered 24 flowers for a
birthday party and 48 flowers for
a wedding. How many flowers did
the florist deliver for both events?
Use mental math to add.
A 72
B 70
C 62
D 24
2. Rosita has $10.00. She buys a
sundae for $2.59. How much
money does she have left?
A $4.71
B $7.14
C $7.41
D $8.41
Daily Spiral Review
2-7
4. Jack travels 12 miles each day on
the school bus. How many miles
does Jack travel in 5 days?
60 miles
5. The distance from Earth to the
moon is about 250,000 miles. A
spaceship can travel 50,000 miles
in a day. Can the spaceship travel
to the moon and back again in
one week?
No, it would take
10 days.
© Pearson Education, Inc. 4
Daily Spiral Review 2-7
3. Bay City has a population of
49,542. What is Bay City’s
population rounded to the nearest
thousand?
A 49,000
B 49,542
C 50,000
D 60,000
Topic 2
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61
1/29/08 2:01:17 PM
62
Nat_AncTopic_2.indb 62
Problem of the Day 2-7
Topic 2
Problem
of the
Day
2-7
Draw a picture to show the main
idea. Solve.
The animal rescue
association put this
ad in the paper.
2-7
1/29/08 2:12:06 PM
© Pearson Education, Inc. 4
Problem of the Day
How many animals need adopting?
Name
1. Raoul has 4 pennies and 5 dimes in
his coat pocket. How many coins
does he have in all?
Quick Check
2-7
2. Sofia picked 7 apples and gave 2
to Jules. How many apples does
she have left?
A 1
A 4
B 9
B 5
C 20
C 9
D 45
D 14
3. Smallville is 104 miles east of
Bigtown. Medburg is 206 miles
east of Bigtown. How many miles
is Medburg from Smallville?
A 100
B 102
C 106
D 310
© Pearson Education, Inc. 4
Quick Check 2-7
4. Writing to Explain A model kit has 100 pieces. The kit has
long beams, short beams, and connectors. There are
20 long beams and 30 short beams. Ann built a bridge from
62 pieces. How many pieces does she have left? Draw a
picture to help you solve the problem.
Topic 2
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63
1/29/08 2:12:07 PM
Name
1. Raoul has 4 pennies and 5 dimes in
his coat pocket. How many coins
does he have in all?
Quick Check
2-7
2. Sofia picked 7 apples and gave 2
to Jules. How many apples does
she have left?
A 1
A 4
B 9
B 5
C 20
C 9
D 45
D 14
3. Smallville is 104 miles east of
Bigtown. Medburg is 206 miles
east of Bigtown. How many miles
is Medburg from Smallville?
A 100
B 102
C 106
D 310
Quick Check 2-7
4. Writing to Explain A model kit has 100 pieces. The kit has
long beams, short beams, and connectors. There are
20 long beams and 30 short beams. Ann built a bridge from
62 pieces. How many pieces does she have left? Draw a
picture to help you solve the problem.
© Pearson Education, Inc. 4
See student samples to the right.
Topic 2
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1/29/08 2:01:19 PM
Name
Reteaching
Problem Solving: Draw a
Picture and Write an Equation
2-7
Read the question and follow the steps to develop a
problem-solving strategy.
In the morning, a grocery store had 28 apples on display. By the
end of the day, 11 apples had been purchased. How many apples
were left?
Step 1: Read/Understand
Step 2: Plan
Step 3: Solve
• Find the information you are
given. [There were 28 apples;
now there are 11 fewer apples.]
• Draw a picture that helps you
visualize the problem you are
trying to solve.
• Figure out which operation
you need to use to solve
the problem, and write an
equation. [Subtraction;
28 ! 11 " ?]
28 in all
• Find the information you need
to figure out. [The number of
apples that are left]
11
?
• Solve the equation to answer
the problem. [28 ! 11 " 17;
17 apples were left.]
Reteaching 2-7
1. Strategy Practice On Monday, Erika put 12 flakes of
fish food in her fish tank before school, and 13 more
when she got home. How many flakes did she put in
the tank that day? Use the steps to answer the question.
Step 1:
Step 2:
Step 3:
• What information are you
given?
• Draw a picture.
• Choose an operation and
write an equation.
• What information do you need
to figure out?
• Solve the equation.
3. There are 29 students in the school band.
During practice, 6 new students joined the band.
How many students are in the band now?
4. Jaycee’s teacher gave her a box of 96 pens.
She gave 17 of the pens to her classmates.
How many pens were left in the box?
64
Nat_AncTopic_2.indb 64
© Pearson Education, Inc. 4
Solve the following problems. Draw pictures to help you.
2. Roy is reading a book that is 68 pages. He has read
24 pages so far. How many more pages does he have
to read to finish the book?
Topic 2
1/29/08 2:12:08 PM
Name
Reteaching
Problem Solving: Draw a
Picture and Write an Equation
2-7
Read the question and follow the steps to develop a
problem-solving strategy.
In the morning, a grocery store had 28 apples on display. By the
end of the day, 11 apples had been purchased. How many apples
were left?
Step 1: Read/Understand
Step 2: Plan
Step 3: Solve
• Find the information you are
given. [There were 28 apples;
now there are 11 fewer apples.]
• Draw a picture that helps you
visualize the problem you are
trying to solve.
• Figure out which operation
you need to use to solve
the problem, and write an
equation. [Subtraction;
28 ! 11 " ?]
11
?
• Solve the equation to answer
the problem. [28 ! 11 " 17;
17 apples were left.]
Reteaching 2-7
1. Strategy Practice On Monday, Erika put 12 flakes of
fish food in her fish tank before school, and 13 more
when she got home. How many flakes did she put in
the tank that day? Use the steps to answer the question.
25
Step 1:
Step 2:
Step 3:
• What information are you
given?
• Draw a picture.
• Choose an operation and
write an equation.
• What information do you need
to figure out?
• Solve the equation.
Solve the following problems. Draw pictures to help you.
2. Roy is reading a book that is 68 pages. He has read
24 pages so far. How many more pages does he have
to read to finish the book?
44
3. There are 29 students in the school band.
During practice, 6 new students joined the band.
How many students are in the band now?
35
4. Jaycee’s teacher gave her a box of 96 pens.
She gave 17 of the pens to her classmates.
How many pens were left in the box?
79
64
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© Pearson Education, Inc. 4
28 in all
• Find the information you need
to figure out. [The number of
apples that are left]
Topic 2
1/29/08 2:01:20 PM
Name
Practice
2-7
Problem Solving: Draw a
Picture and Write an Equation
For exercises 1 through 4 write an equation and solve. Use the
picture to help you.
1. A remote control car has a speed of
2. Danny has 45 minutes to take a
5 feet per second. How many feet
math test. If Danny finishes half
will the car travel in 6 seconds?
the test in 19 minutes, how many
minutes does he have left to
finish it?
? feet in 6 seconds
5 ft 5 ft 5 ft 5 ft 5 ft 5 ft
45 minutes
19 minutes
3. While shopping, Janet bought
a shirt for $8, a pair of jeans for
$22, mittens for $5, and a hat for
$10. How much money did Janet
spend?
4. The 175th anniversary of the
completion of the Erie Canal was in
the year 2000. If it took 8 years to
dig the canal, in what year did the
digging of the Erie Canal begin?
Year 2000
? money spent
$22
$5 $10
175 8 ? year digging began
Practice 2-7
$8
? minutes left
5. The average length of a song on a certain CD is 3 minutes.
The CD has 12 songs. Write an equation for the length of the
whole CD. Draw a picture to help you.
A 12 ! 3
B 12 " 3
C 12 # 3
D 12 $ 3
© Pearson Education, Inc. 4
6. Writing to Explain It takes Jinny 56 minutes to drive to her
friend’s house. She drove 15 minutes and then stopped at a
store. She then drove another 10 minutes. What do you need
to do to find the amount of time she has left to drive?
Topic 2
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65
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Name
Practice
2-7
Problem Solving: Draw a
Picture and Write an Equation
For exercises 1 through 4 write an equation and solve. Use the
picture to help you.
1. A remote control car has a speed of
2. Danny has 45 minutes to take a
5 feet per second. How many feet
math test. If Danny finishes half
will the car travel in 6 seconds?
the test in 19 minutes, how many
minutes does he have left to
finish it?
5 ! 6 " 30 feet
? feet in 6 seconds
45 $ 19 " 26 minutes
5 ft 5 ft 5 ft 5 ft 5 ft 5 ft
45 minutes
19 minutes
3. While shopping, Janet bought
a shirt for $8, a pair of jeans for
$22, mittens for $5, and a hat for
$10. How much money did Janet
spend?
? minutes left
4. The 175th anniversary of the
completion of the Erie Canal was in
the year 2000. If it took 8 years to
dig the canal, in what year did the
digging of the Erie Canal begin?
$8 # $22 # $5
2000 $ 175 $ 8 " 1817
# $10 " $45
? money spent
$22
$5 $10
175 8 ? year digging began
Practice 2-7
$8
Year 2000
5. The average length of a song on a certain CD is 3 minutes.
The CD has 12 songs. Write an equation for the length of the
whole CD. Draw a picture to help you.
A 12 ! 3
B 12 " 3
C 12 # 3
D 12 $ 3
© Pearson Education, Inc. 4
6. Writing to Explain It takes Jinny 56 minutes to drive to her
friend’s house. She drove 15 minutes and then stopped at a
store. She then drove another 10 minutes. What do you need
to do to find the amount of time she has left to drive?
Add the time she has already driven
and subtract it from the total time it
takes to get there.
Topic 2
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Name
Enrichment
2-7
Flying High
Number Sense
a
ant
Atl
n
sto
Boston
946
Bo
Chicago
606
867
Dallas
721
1,555
796
lla
Da
1,208 1,767
901
654
235
982
Denver
Detroit
505
632
Ch
go
ica
s
r
nve
De
1,135
Use the air distance chart above to write a number sentence
for each problem. Then solve.
1. How many more miles does it take to get from Denver to
Atlanta than to get from Detroit to Atlanta and Chicago to
Atlanta combined?
Enrichment 2-7
2. Jorge flew from Dallas to Detroit, from Detroit to Denver,
and from Denver back to Dallas. How many miles did Jorge
fly altogether?
3. Maria flew from her home city of Boston to Atlanta, back
home to Boston, and then back to Atlanta. How many
miles did she fly altogether?
© Pearson Education, Inc. 4
4. How many more miles is it to fly round-trip between Dallas
and Boston than between Denver and Chicago?
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Nat_AncTopic_2.indb 66
Topic 2
1/29/08 2:12:10 PM
Name
Enrichment
2-7
Flying High
Number Sense
an
Atl
ta
sto
n
Boston
946
Bo
Chicago
606
867
Dallas
721
1,555
796
llas
Da
1,208 1,767
901
654
235
982
Denver
Detroit
505
632
go
ica
Ch
r
nve
De
1,135
Use the air distance chart above to write a number sentence
for each problem. Then solve.
1. How many more miles does it take to get from Denver to
Atlanta than to get from Detroit to Atlanta and Chicago to
Atlanta combined?
1,208 ! (505 " 606) # 97 mi
Sample
answers
given
Enrichment 2-7
2. Jorge flew from Dallas to Detroit, from Detroit to Denver,
and from Denver back to Dallas. How many miles did Jorge
fly altogether?
(982 " 1,135) " 654 # 2,771 mi
3. Maria flew from her home city of Boston to Atlanta, back
home to Boston, and then back to Atlanta. How many
miles did she fly altogether?
(946 " 946) " 946 # 2,838 mi
(1,555 " 1,555) ! (901 " 901)
# 3,110 ! 1,802 # 1,308 mi
66
Nat_AncTopic_2.indb 66
© Pearson Education, Inc. 4
4. How many more miles is it to fly round-trip between Dallas
and Boston than between Denver and Chicago?
Topic 2
1/29/08 2:01:22 8M
Name
Topic 2
Multiple-Choice
Test
Mark the best answer.
1. Amanda’s ant farm holds 56,732
ants. Jim’s ant farm holds 48,841
ants. How many more ants does
Amanda’s ant farm hold? (2-5)
A 17,891
B 7,981
C 7,891
D 2,191
2. The following table shows cans
collected for a food drive.
Cans Collected
January
419
February
385
March
452
3. Ernest bought half a dozen
sunflowers for $0.65 each, three
lilies, and a rose that cost $1.19.
What information is needed to
find the total amount Ernest spent
before tax? (2-3)
A the cost of the lilies
B the cost of the posies
C who the sunflowers are for
D how much money Ernest has
4. Daisy’s class wants to collect 273
toys for homeless children. So far,
they have gathered 183. Which
picture models the number of toys
they need? (2-7)
Which is the best estimate of the
total number of cans collected?
(2-2)
A
A 1,300
B
273
183
?
B 1,100
C 800
D 700
?
273
183
183
C
273
?
273
D
183
?
Topic 2
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67
Multiple-Choice
Test
Center
Activity 8-4
Topic 2
© Pearson Education, Inc. 4
183
1/29/08 2:12:10 PM
Name
Topic 2
Multiple-Choice
Test
Mark the best answer.
1. Amanda’s ant farm holds 56,732
ants. Jim’s ant farm holds 48,841
ants. How many more ants does
Amanda’s ant farm hold? (2-5)
A 17,891
B 7,981
C 7,891
D 2,191
2. The following table shows cans
collected for a food drive.
Cans Collected
January
419
February
385
March
452
3. Ernest bought half a dozen
sunflowers for $0.65 each, three
lilies, and a rose that cost $1.19.
What information is needed to
find the total amount Ernest spent
before tax? (2-3)
A the cost of the lilies
B the cost of the posies
C who the sunflowers are for
D how much money Ernest has
4. Daisy’s class wants to collect 273
toys for homeless children. So far,
they have gathered 183. Which
picture models the number of toys
they need? (2-7)
Which is the best estimate of the
total number of cans collected?
(2-2)
A
A 1,300
B
273
183
?
B 1,100
C 800
D 700
?
273
183
183
C
273
?
273
D
183
?
Topic 2
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67
Multiple-Choice
Test
Center
Activity 8-4
Topic 2
© Pearson Education, Inc. 4
183
1/29/08 2:01:23 PM
Name
Topic 2
Free-Response Test
Give each answer.
Add or subtract mentally. Use breaking
apart or compensation.
1. 576 ! 354
9. 65 ! 32
2. 185 " 115
10. 434 " 76
3. 53 ! 18
11. 543 " 342
4. 893 ! 351
12. 4,629 " 6,331
Estimate each sum or difference.
13. 687 ! 298
5. 5,838 ! 1,472
6. 818 " 333
7. 7,545 " 7,211
© Pearson Education, Inc. 4
Topic 2
Free-Response Test
8. 376 ! 112
70
Nat_AncTopic_2.indb 70
Topic 2
1/29/08 2:12:12 PM
Name
Topic 2
Free-Response Test
Give each answer.
Add or subtract mentally. Use breaking
apart or compensation.
1. 576 ! 354
222
2. 185 " 115
300
3. 53 ! 18
35
4. 893 ! 351
542
Estimate each sum or difference.
5. 5,838 ! 1,472
4,300
6. 818 " 333
1,150
7. 7,545 " 7,211
9. 65 ! 32
40
10. 434 " 76
500
11. 543 " 342
800
12. 4,629 " 6,331
11,000
13. 687 ! 298
400
Sample
answers are
given for 5–13.
14,700
8. 376 ! 112
© Pearson Education, Inc. 4
Topic 2
Free-Response Test
270
70
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Topic 2
1/29/08 2:01:25 PM
Name
Topic 2
Performance
Assessment
A summer camp needs help planning transportation routes so
that 25 campers have rides to camp every day. Van A, Van B,
Van C, and Van D can each hold 5 campers. The minibus can
hold 8 campers. The map below shows how many campers are
in each town.
Camp
Three Rivers 1
Visalia 5 Farmersville 2 Exeter 2
Ivanhoe 2 Woodlake 2
Lemon Grove 1
Tulare 3
Lindsay 2
Strathmore 1
Porterville 3
Tipton 1
1. Plan a route for each vehicle.
2. Fill in the table below. Remember that all 25 campers need
rides to camp. To fill in information about a vehicle, find
the row for that vehicle. Then move to the column for the
information and write down that information. The total seats
column is done for you.
Vehicle Name
Van A
Van B
Van C
Van D
Minibus
Total Seats
5
5
5
5
8
Unoccupied Seats
Occupied Seats
Total
4. The camp wants to replace the minibus with another van.
Is it possible to pick up all the campers with 5 vans and no
minibus? How would the routes change if you replaced the
minibus with Van E, which also holds 5 campers?
72
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© Pearson Education, Inc. 4
Topic 2
Performance Assessment
3. Explain how you chose your routes.
Topic 2
1/29/08 2:12:13 PM
Name
Topic 2
Performance
Assessment
A summer camp needs help planning transportation routes so
that 25 campers have rides to camp every day. Van A, Van B,
Van C, and Van D can each hold 5 campers. The minibus can
hold 8 campers. The map below shows how many campers are
in each town.
Camp
Three Rivers 1
Visalia 5 Farmersville 2 Exeter 2
Ivanhoe 2 Woodlake 2
Lemon Grove 1
Tulare 3
Lindsay 2
Strathmore 1
Porterville 3
Tipton 1
1. Plan a route for each vehicle.
See below.
2. Fill in the table below. Remember that all 25 campers need
rides to camp. To fill in information about a vehicle, find
the row for that vehicle. Then move to the column for the
information and write down that information. The total seats
column is done for you.
Total Seats
5
5
5
5
8
Unoccupied Seats
Topic 2
Performance Assessment
3. Explain how you chose your routes.
1
0
0
0
2
Occupied Seats
4
Total
72
Nat_AncTopic_2.indb 72
5
5
6
25
See below.
4. The camp wants to replace the minibus with another van.
Is it possible to pick up all the campers with 5 vans and no
minibus? How would the routes change if you replaced the
minibus with Van E, which also holds 5 campers?
See below.
5
© Pearson Education, Inc. 4
Vehicle Name
Van A
Van B
Van C
Van D
Minibus
Topic 2
1/29/08 2:01:27 PM