Writing Math

Chapter Resources
Grade 4, Chapter 4
Contents
Resources for Chapter 4: Subtraction
• Lesson Quizzes Lessons 4.1–4.5
Daily Routines
Reteach
Practice
Enrichment
Leveled Problem Solving
Homework
• Chapter 4 Test
Individual and Class Record Sheets
B
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Booklet 4 of 29
TTL_73744_U2_C04.indd 4–1
4–1
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Name
Date
Chapter 4, Lesson 1
Lesson Quiz
Lesson 1 Quiz
Use play money to subtract.
1.
$2,000 - $289
2.
$2,000 - $430
3.
$2,000 - $76
4.
$2,000 - $825
Lesson Quiz
Use with Chapter 4, Lesson 1
Copyright © Houghton Mifflin Company. All rights reserved.
Name
Date
Chapter 4, Lesson 2
Lesson Quiz
Lesson 2 Quiz
Round each number to the nearest hundred. Then estimate
the difference.
1.
5,864 - 4,216
2.
47,280 - 18,632
3.
6,941 - 3,662
4.
89,043 - 75,508
Lesson Quiz
4–2
Use with Chapter 4, Lesson 2
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CAPEG4_C04_LessonQuiz.indd 4–2
11/30/07 1:35:08 AM
Name
Date
Chapter 4, Lesson 3
Lesson Quiz
Lesson 3 Quiz
Subtract. Use addition to check your answer.
1.
419 - 351
2.
3,544 - 2,163
3.
824 - 682
4.
7,449 - 3,965
Lesson Quiz
Use with Chapter 4, Lesson 3
Copyright © Houghton Mifflin Company. All rights reserved.
Name
Date
Chapter 4, Lesson 4
Lesson Quiz
4–3
Use with Chapter 4, Lesson 4
Lesson 4 Quiz
Subtract.
1.
403 - 360
2.
301 - 83
3.
802 - 601
4.
7,049 - 2,906
Lesson Quiz
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CAPEG4_C04_LessonQuiz.indd 4–3
11/30/07 1:35:36 AM
Name
Date
Chapter 4, Lesson 5
Lesson Quiz
Lesson 5 Quiz
Gil ran 8 miles on Friday and 12 miles each day on Saturday
and Sunday.
1.
How many miles in all did Gil run on the weekend?
2.
Gil ran farther on Monday than on Sunday. How far did he
run on the 4 days from Friday through Monday?
Lesson Quiz
Use with Chapter 4, Lesson 5
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Lesson Quiz
4–4
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CAPEG4_C04_LessonQuiz.indd 4–4
11/30/07 1:36:00 AM
Name
Chapter 4, Lesson 1
Daily Routines
Date
Hands On: Model Subtraction from 2,000
Problem of the Day
MR 2.3
The table below shows the number of visitors to a zoo over one week.
Day
Number of Visitors
Weekdays
5,182
Saturday
3,891
Sunday
3,036
Looking at the table, how would you find about how many people
attended the zoo in one week?
Number Sense
KEY NS 1.2
On your whiteboard, write three different numbers which are less than
nine hundred fifty thousand, but greater than nine hundred forty-nine
thousand.
Number of the Day
KEY NS 1.3
300
Write two numbers greater than 300 and two numbers less than 300
which would round to 300.
Facts Practice
KEY NS 3.1
Find each sum.
1.
152 + 343
2.
783 + 854
3.
54,198 + 2,003
4.
16,592 + 405,213
5.
129 + 452 + 1,490
6.
5,391 + 2,310 + 4,007
Daily Routines
4–5
Use with Chapter 4, Lesson 1
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C04_G4_CAMath_Daily Rout_T.indd 4–5
11/30/07 1:37:40 AM
Name
Chapter 4, Lesson 1
Reteach
Date
Hands On: Model Subtraction
from 2,000
CA Standard
NS 3.1
A factory has 2,000 workers. 532 workers are on the night shift. The rest work the
day shift. How many workers work the day shift?
Step 1 Model 2,000. Regroup 1,000 into 10 groups of 100. Take away 500.
100
100
100
100
100
100
100
100
100
100
1,000
Step 2 Regroup 100 into 10 groups of 10. Regroup 10 into 10 ones. Take away 32.
100
100
10
10
10
10
10
100
100
10
10
10
10
1
1
1
1
1
1
1
1
1
1
1,000
Step 3 Count what’s left to find the difference.
Solution: 2,000 - 532 = 1,468
Solve. Use regrouping to help you.
1.
2,000 - 644 =
2.
2,000 - 366 =
3.
$2,000 - $902 =
4.
2,000 - 583 =
5.
2,000 - 71 =
6.
$2,000 - $823 =
Writing Math Zach was subtracting 950 from 2,000. What
place number did he not have to regroup? Explain.
Reteach
4–6
Use with text pages 72–73.
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73744_C4L1_RET.indd 4–6
11/30/07 1:41:50 AM
Name
Chapter 4, Lesson 1
Practice
Date
Hands On: Model Subtraction
from 2,000
CA Standard
NS 3.1
Subtract. Use play money to help.
1.
$2,000 - $691 =
2.
$2,000 - $821 =
3.
$2,000 - $437 =
4.
$2,000 - $585 =
5.
$2,000 - $200 =
6.
$2,000 - $372 =
2,000 - 21 =
9.
2,000 - 704 =
12.
2,000 - 881 =
Subtract using regrouping.
7.
2,000 - 936 =
8.
10.
2,000 - 199 =
11.
2,000 - 543 =
Test Practice
Circle the letter of the correct answer.
13.
How much is $309 subtracted from
$2,000?
14.
In the problem 2,000 - 642, which
places have to be regrouped?
A
$1,609
A
tens, hundreds, thousands
B
$1,691
B
tens, thousands
C
$1,702
C
hundreds, thousands
D
$1,093
D
ones, tens, hundreds
Writing Math Dale did the problem 2,000 - 850 and got
the answer 2,150. What did he do wrong to get this answer? Explain.
Practice
4–7
Use with text pages 72–73.
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73744_C4L1_PRAC.indd 4–7
11/30/07 1:42:24 AM
Name
Date
Weight
Chapter 4, Lesson 1
Enrichment
CA Standard
NS 3.1
Read the table of measurements of weight. Then use the
information to solve the problems.
Measurements of Weight
1 pound (lb) = 16 ounces (oz)
1 short hundred-weight = 100 lbs
1 short ton = 2,000 lbs
1 long ton = 2,240 lbs
1.
Jim’s piano weights 1 short ton. Fran’s organ weights 6 short hundred-weights.
How many pounds more is Jim’s piano?
2.
The combined weight of the members of Lee’s family is a long ton. The combined
weight of the members of Connie’s family is a short ton. What is the difference
between their families’ weights?
3.
A small security safe weighs 2,000 pounds. The contents of the safe weight 80 pounds.
What would the safe weigh if it were empty?
4.
The old cannon on the town green weighs a short ton. The pile of cannon balls
alongside it weighs 305 pounds. How much more does the cannon weigh?
5.
The men had to move the cannon 2,000 feet across the green. They carried it
843 feet and then stopped to rest. How much farther did they have to carry the cannon?
Writing Math A boulder weighs 2,000 pounds. A rock
weighs 4,800 ounces. To get the difference between the two weights,
what operation must you do first? Second?
Enrichment
4–8
Use with text pages 72–73.
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73744_C4L1_ENR.indd 4–8
11/30/07 1:42:52 AM
Chapter 4, Lesson 1
Name
Leveled Problem Solving
Date
Hands On: Model Subtraction
from 2,000
CA Standard
NS 3.1
Solve each problem.
1.
The new department store sells 2,000
different items of clothing. It also sells
1,500 other products. How many more
clothing items does the store sell?
2.
Of the 2,000 clothing items, 750 are for
men and the rest are for women.
How many clothing items are for
women?
3.
The store was going to give prizes to
its 2,000th customer. Lana was the
1,632nd customer. How many more
people will walk into the store before
the prize winner?
4.
Jeff bought a new stove at the store
for $795 plus a $30 delivery charge.
He had $2,000 in his checking account
before the purchase. After he wrote
a check for the amount, how much
money did he have left in his
account?
5.
Mr. Chee was interested in a new
riding lawnmower that costs $2,000.
He looked in his wallet and saw that
he had a $500 bill, two $100 bills, a
$50 bill and two $10 bills. How much
more money does he need to buy the
lawnmower?
6.
The department store has 2,000 square
feet of space inside. Of this space,
141 square feet are taken up by
offices, 300 square feet by storage,
and 75 by rest rooms. How much
space remains for floor display
space?
Leveled Problem Solving
4–9
Use with text pages 72–73.
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73744_C4L1_PS.indd 4–9
11/30/07 1:43:37 AM
Name
Chapter 4, Lesson 1
Homework
Date
Hands On: Model Subtraction
from 2,000
CA Standard
NS 3.1
Mr. McFee had $2,000. He bought a used car for $840. How much money did he
have left?
Step 1 Subtract $840 from $2,000. Represent $1,000 as ten $100 bills.
Step 2 Regroup one $100 bill as ten $10 bills.
° ° ° ° °
° ° ° ° °
Step 3 Write a subtraction problem to show your final answer.
Solution: $2,000 - $840 = $1,160
Use play money to help you subtract.
1.
$2,000 - $315 =
2.
$2,000 - $86 =
3.
$2,000 - $600 =
4.
$2,000 - $892 =
5.
$2,000 - $517 =
6.
$2,000 - $276 =
4QJSBM3FWJFX
(Chapter 3, Lesson 4) KEY NS 3.1
Add.
7.
9.
506 + 492 =
8.
683 + 77 =
George had 108 bottle caps in his collection. Annie had 57 bottle caps.
How many did they have together?
Homework
4–10
Use with text pages 72–73.
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73744_HMWK_C4L1.indd 4–10
11/30/07 1:44:10 AM
Name
Chapter 4, Lesson 2
Daily Routines
Date
Estimate Differences
Problem of the Day
KEY NS 3.0
Anna has 312 photos in her scrapbook; 120 photos are of family
members. How many photos in the scrapbook are not of family
members?
Number Sense
NS 1.0
Label each point on the number line.
10, 60, 110
0 20 40 60 80 100 120 140
Word of the Day
MR 2.3
sum
When adding, will you find the sum or the difference?
Facts Practice
KEY NS 1.2
Compare using >, <, or =.
1.
4,152
4.
615,555
4,512
615,555
Daily Routines
2.
6,001
10,000
5.
99,999
4–11
999,999
3.
433,001
334,001
6.
800,000
777,777
Use with Chapter 4, Lesson 2
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C04_G4_CAMath_Daily Rout_T.indd 4–11
2/6/08 6:55:37 PM
Name
Chapter 4, Lesson 2
Reteach
Date
Estimate Differences
CA Standards
NS 1.3, NS 2.1
Roy had 3,477 songs on his MP3 player. Elena had only 1,592 songs on her MP3
player. How many more songs did Roy have than Elena? Estimate the difference.
Step 1 Round each number to the nearest hundred and subtract
3,500
1,600
————
1,900
3,477 rounds to 3,500.
1,592 rounds to 1,600.
Step 2 To get a closer estimate, round to the nearest ten.
3,480
1,590
————
1,890
3,477 rounds to 3,480.
1,592 rounds to 1,590.
Solution: Roy has about 1,890 more songs on his MP3 player than Elena has on hers.
Round each number to the nearest hundred. Then estimate.
1.
34,501 - 17,989 =
2.
1,766 - 531 =
3.
56,724 - 23,861 =
4.
4,042 - 683 =
8.
6,228 - 4,872 =
Round each number to the nearest thousand. Then estimate.
5.
93,615 - 33,518 =
9.
7,815 - 3,602 =
10.
42,573 - 21,322 =
10,545 - 4,106 =
14.
53,448 - 18,252 = 15. 11,399 - 3,404 =
13.
6.
8,703 - 5,492 =
7.
72,443 - 22,687 =
11.
6,013 - 2,654 =
12.
37,842 - 12,928 =
16.
86,798 - 51,501 =
Writing Math In problem 16 above, if the second number
was 51,499 instead of 51,501 would the answer change? Why?
Reteach
4–12
Use with text pages 74–76.
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73744_C4L2_RET.indd 4–12
11/30/07 1:44:56 AM
Name
Chapter 4, Lesson 2
Practice
Date
Estimate Differences
CA Standards
NS 1.3, NS 2.1
Round each number to the nearest hundred. Then estimate
the difference.
1.
6,324 - 4,213 =
2.
22,937 - 14,679 =
3.
57,627 - 12,309 =
4.
4,583 - 2,777 =
5.
85,533 - 32,486 =
6.
8,792 - 3,934 =
9.
7,063 - 2,395 =
Round each number to the nearest thousand. Then estimate
the difference.
7.
5,355 - 2,798 =
8.
68,709 - 40,999 =
Test Practice
Circle the letter of the correct answer.
10.
The Larson family drove 10,820 miles
in their van. They drove 7,296 miles in
their compact car. About how many
more miles did they drive with the van?
Round each number to the nearest
hundred and estimate.
11.
Crystal’s home town has 62,784
people. Simon’s home town has
87,200 people. About how many
more people live in Simon’s town than
Crystal’s town? Round each number to
the nearest thousand and estimate.
A
1,500 miles
C
3,500 miles
A
24,000
C
35,000
B
2,500 miles
D
4,000 miles
B
30,000
D
15,000
Writing Math The teacher asked Lewis and Kara to round
the number 62,500 to the nearest thousand. Lewis’s answer was
63,000 and Kara’s was 62,000. Are they both right? Explain.
Practice
4–13
Use with text pages 74–76.
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73744_C4L2_PRAC.indd 4–13
11/30/07 1:45:23 AM
Name
Chapter 4, Lesson 2
Enrichment
Date
Diameters of Planets
CA Standards
NS 1.3, NS 2.1
A planet’s diameter is its width measured at its widest point,
its equator. The chart below lists the diameters of all 8 planets
in miles. Use the information to answer the problems.
1.
2.
3.
Which planet’s diameter, if rounded to
the nearest thousand, is 32,000 miles?
About how much greater is the diameter
of Earth than that of Venus?
Round to the nearest hundred.
If rounded to the nearest thousand, which two
planets have a difference in diameter of only
Planet
Diameter
Mercury
3,031 miles
Venus
7,520 miles
Earth
7,926 miles
Mars
4,200 miles
Jupiter
88,700 miles
Saturn
74,600 miles
Uranus
Neptune
31,570 miles
30,200 miles
Source: World Book, article on Planets
1,000 miles?
4.
Which planet has a diameter that is 59,000 miles less than Jupiter’s diameter when
rounded to the nearest thousand?
5.
What is the difference in diameter between Saturn and Earth to the nearest hundred?
Writing Math It is not necessary to round the diameters
of 4 planets to the nearest hundred. Why?
Enrichment
4–14
Use with text pages 74–76.
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73744_C4L2_ENR.indd 4–14
11/30/07 1:46:18 AM
Chapter 4, Lesson 2
Name
Leveled Problem Solving
Date
Estimate Differences
CA Standards
NS 1.3, NS 2.1
Solve each problem.
1.
The indoor sports arena seats
15,600 people. Last night’s ball
game was attended by 9,400 people.
Round each number to the nearest
thousand and estimate how many
seats were empty at the game.
2.
The arena had a double header on
Saturday. A total of 12,200 people
attended the afternoon game and
13,900 came to the evening game.
About how many more people
attended the evening game? Round
each number to the nearest thousand
before finding the estimate.
3.
The stadium underwent minor
renovations. It cost a total of $44,560.
The stadium owners have paid the
builder $20,942 so far. About how
much money do they still owe for this
work? Round to the nearest hundred
and then estimate the difference.
4.
Receipts for the Friday night game
were $80,522. Saturday’s receipts were
$94,268. About how much more money
did the stadium take in on Saturday than
Friday? Round to the nearest hundred
and estimate.
5.
On Ladies’ Day, a total of
4,566 women came to the stadium.
There were 8,249 men and
1,522 children at the same game.
About how many more men and
children attended the game than
women? Round each number to
the nearest ten before estimating.
6.
Last season the stadium sold
23,921 cans of soda and
14,652 bottles of water to fans.
They also sold 22,428 hot dogs and
13,756 hamburgers. About how many
more beverages did they sell than
sandwiches last season? Round each
number to the nearest hundred before
estimating.
Leveled Problem Solving
4–15
Use with text pages 74–76.
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73744_C4L2_PS.indd 4–15
11/30/07 1:47:15 AM
Name
Chapter 4, Lesson 2
Homework
Date
Estimate Differences
CA Standards
NS 1.3, NS 2.1
Hector has $1,362. He buys a computer for $1,151. Does he have enough money left to
buy an MP3 player for $160?
Step 1 Round each amount to the nearest hundred.
$1,362 rounds to $1,400.
1,400
$1,151 rounds to $1,200.
-1,200
200
Step 2 Compare the 2 numbers. Which is larger?
$200 > $160
Solution: Hector has enough money left to buy the MP3 player.
Round each number to the nearest hundred. Then estimate the
difference.
1.
3,722 - 1,286 =
2.
5,951 - 2,503 =
3.
$4,362 - $1,764 =
4.
55,229 - 23,287 =
8.
3,842 - 1,668 =
Round each number to the nearest thousand. Then estimate the
difference.
5.
89,842 - 35,388 =
4QJSBM3FWJFX
6.
61,358 - 26,501 =
7.
6,874 - 1,804 =
(Chapter 2, Lessons 2 and 3) KEY NS 1.2, NS 1.3
Order from greatest to least.
9.
4,407,951 4,687,004 4,724,812
10.
12,900,462 12,090,541 12,547,620
11.
What is 16,501 rounded to the nearest thousand?
Homework
4–16
Use with text pages 74–76.
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73744_HMWK_C4L2.indd 4–16
11/30/07 1:47:52 AM
Name
Chapter 4, Lesson 3
Daily Routines
Date
Subtract Whole Numbers
Problem of the Day
KEY NS 3.1
Emma has 678 pennies. Her sister has 452 pennies. How many
pennies will they have if they combine their money?
Number Sense
KEY NS 1.2
Order the following numbers from greatest to least.
151,430; 157,888; 160,000; 149,999
Number of the Day
MR 2.3
24
How many ways can you use the number 24 today?
Facts Practice
KEY NS 3.0
Add to find the sum.
1.
6,433 + 1,999
2.
10,627 + 4,389
3.
11,111 + 998
4.
42,189 + 715
5.
52,061 + 6,081
6.
108,327 + 456,113
Daily Routines
4–17
Use with Chapter 4, Lesson 3
Copyright © Houghton Mifflin Company. All rights reserved.
C04_G4_CAMath_Daily Rout_T.indd 4–17
1/31/08 10:29:14 AM
Name
Chapter 4, Lesson 3
Reteach
Date
Subtract Whole Numbers
CA Standards
NS 3.1,
NS 3.0
Find 3,126 - 479.
Step 2 Subtract tens.
Regroup a hundred as
10 tens.
Step 1 Subtract ones.
Regroup a ten as 10 ones.
Step 3 Subtract
hundreds. Regroup a
thousand as 10 hundreds.
Then subtract thousands.
1011
11
0 116
//
116
2 0116
//
3,126
/ // /
479
————
2,647
3,126
///
479
————
47
3,126
//
479
————7
-
-
-
Solution: 3,126 - 479 = 2,647
Subtract. Use addition to check your answer.
1.
592
- 137
2.
796
- 625
7.
———
6.
3.
385
- 128
8.
———
———
11.
846
- 319
4.
3,542
- 727
9.
————
———
9,128 - 3,549 =
4,994
- 564
————
12.
372 - 189 =
7,133
- 5,636
5.
4,698
- 2,314
10.
————
————
13.
9,826
- 7,737
————
5,129
- 4,632
————
9,871 - 4,923 =
Writing Math Is problem 3 easier to solve than problem 4?
Reteach
4–18
Use with text pages 78–80.
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73744_C4L3_RET.indd 4–18
11/30/07 1:48:55 AM
Name
Chapter 4, Lesson 3
Practice
Date
Subtract Whole Numbers
CA Standards
NS 3.1,
NS 3.0
Subtract. Use addition to check.
1.
924
-735
______
2.
672
-49
_____
3.
3, 2 4 5
-860
______
4.
849
-364
______
5.
6, 4 9 2
-881
______
6.
7,402 - 4,829 =
7.
9,266 - 4,157 =
8.
5,481 - 1,954 =
9.
6,648 - 5,471 =
10.
6,981 - 6,549 =
11.
8,482 - 3,234 =
Find each missing number.
12.
29 + 䊏 = 86
13.
䊏 - 64 = 802
14.
䊏 + 364 = 863
15.
䊏 - 292 = 605
16.
904 + 䊏 = 999
17.
䊏 + 284 = 438
Test Practice
Circle the correct answer.
18.
Ura bicycled 2,489 miles in 2003. In
2004, she bicycled 2,892 miles. How
many more miles did she bicycle in
2004 than in 2003?
19.
A concert hall seats 2,342 people. If
1,973 people attended last night’s
concert, how many seats were
unoccupied?
A
400
C
304
A
300 seats
C
369 seats
B
403
D
300
B
469 seats
D
339 seats
Writing Math Gregory and Millie each raised $370 for their
class trip. If $3,560 was raised by the entire class, how much was raised
by the rest of the students? Explain how you found your answer.
Practice
4–19
Use with text pages 78–80.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L3_PRAC.indd 4–19
11/30/07 1:50:50 AM
Name
Chapter 4, Lesson 3
Enrichment
Date
The Cities of California
CA Standards
NS 3.1,
NS 3.0
California has the largest state population. It has more than
200 incorporated cities. 7 of California’s better known small cities
are shown in the chart below. Use the information from the chart to
answer the questions.
Smaller Cities of California
City
Carlsbad
Chico
Newport Beach
Palm Springs
San Rafael
Santa Barbara
Santa Monica
County
San Diego
Butte
Orange
Riverside
Marin
Santa Barbara
Los Angeles
Population
90,271
59,954
70,032
42,807
56,063
92,325
84,084
Source: Wikipedia
1.
How many more people live in Santa
Barbara than Santa Monica?
2.
What city has 20,239 more people
than Newport Beach?
3.
What two cities have a population
difference of only 3,891?
4.
Which city needs to gain
15,916 residents before it reaches
a population of 100,000?
5.
If 625 people left Palm Springs, what would the population be?
Writing Math Rachael read problem 4 above and didn’t know
what operation to perform to get the answer. What should she do?
Enrichment
4–20
Use with text pages 78–80.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L3_ENR.indd 4–20
11/30/07 1:51:20 AM
Chapter 4, Lesson 3
Name
Date
Leveled Problem Solving
Subtract Whole Numbers
CA Standards
NS 3.1,
NS 3.0
Solve each problem.
1.
The botanical gardens have
1,246 plants native to the area
and 767 exotic plants from other
places. How many more plants are
native than exotic?
2.
Of the 767 exotic plants, 452 of
them must live in greenhouses under
controlled conditions. How many are
grown out-doors?
3.
A total of 2,854 people visited the
botanical gardens last month.
1,986 have visited so far this month.
How many more visitors must come
before the month’s end to match
last month’s attendance?
4.
Of the 2,854 visitors last month,
892 were children and 761 were men.
How many women visited the
gardens?
5.
Last year the botanical gardens
had a total of 15,841 visitors.
8,602 of these visitors came during the
summer months. Another 3,017 came
in the fall. The gardens are closed in
the winter. How many people came in
the spring?
6.
There are 1,262 red roses and
948 red tulips in the botanical
gardens. There are 659 yellow
daffodils and 1,107 white lilies.
How many more red flowers are
there than yellow and white flowers
in the gardens?
Leveled Problem Solving
4–21
Use with text pages 78–80.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L3_PS.indd 4–21
12/15/07 4:22:04 AM
Name
Chapter 4, Lesson 3
Homework
Date
Subtract Whole Numbers
CA Standards
NS 3.1,
NS 3.0
There are 3,745 students at Dan’s school. 849 students bring their own lunch from
home. How many students buy lunch in the school cafeteria?
3 15
3, 7 4 5
Step 1 Subtract the ones. - 8 4 9
6
6 13 15
Step 2 Subtract the tens. 3, 7 4 5
-849
9 6
Step 3 Subtract the hundreds and thousands.
2 16 13 15
3, 7 4 5
-849
2, 8 9 6
Solution: 2,896 students buy their lunch at the school cafeteria.
Subtract. Use addition or estimation to check.
1.
6,282 - 4,529 =
2.
8,510 - 2,238 =
3.
3,287 - 2,486 =
4.
9,125 - 5,306 =
Find each missing number.
- 371 = 124
5.
7.
1,398 -
+ 5,495 = 7,621
6.
= 817
4QJSBM3FWJFX
(Chapter 2, Lesson 3) KEY NS 1.3
Round each number to the nearest hundred thousand.
7.
11,256,893
9.
The state college has 6,892 male students and 8,439 female students. Round each
number to the nearest thousand and then add to get an estimate of the total number
of students.
Homework
8.
4–22
3,832,999
Use with text pages 78–80.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_HMWK_C4L3.indd 4–22
11/30/07 1:52:25 AM
Name
Chapter 4, Lesson 4
Daily Routines
Date
Subtract Across Zeros
Problem of the Day
KEY NS 3.1
Mrs. Chen wants to buy a new computer. Computer Barn sells one for
$1,134. PC Hut sells a similar computer for $987. How much would
Mrs. Chen save by buying from PC Hut?
Number Sense
AF 1.0
Write three number sentences on your whiteboard. Make the first
sentence show the Associative Property of Addition, make the second
show the Commutative Property of Addition, and make the third show
the Zero Property of Addition.
Word of the Day
MR 2.3
difference
Give some real examples of when you might need to find the
difference between two numbers.
Facts Practice
NS 2.1
Round each addend to the nearest hundred and estimate the sum.
1.
654 + 241
2.
894 + 342
3.
4,391 + 2,007
4.
995 + 2,332
5.
2,642 + 5,014
6.
527 + 7,632
Daily Routines
4–23
Use with Chapter 4, Lesson 4
Copyright © Houghton Mifflin Company. All rights reserved.
C04_G4_CAMath_Daily Rout_T.indd 4–23
11/30/07 1:39:43 AM
Name
Chapter 4, Lesson 4
Reteach
Date
Subtract Across Zeros
CA Standards
NS 3.1,
NS 3.0
Subtract 500 - 216.
Step 1
Step 2
Step 3
Regroup the hundreds.
Regroup the tens.
Subtract the ones, tens,
and hundreds.
Hundreds Tens Ones
–
4
10
5
0
0
2
1
6
5 hundreds = 4 hundreds,
10 tens
Hundreds Tens Ones
Hundreds Tens Ones
–
4
9
10
10
4
9
10
10
5
0
0
5
0
0
2
1
6
2
1
6
2
8
4
–
4
10 ones - 6 ones = 4 ones
9 tens - 1 ten = 8 tens
10 tens = 9 tens,
10 ones
4 hundreds - 2 hundreds =
2 hundreds
Subtract. Estimate or add to check.
1.
605
- 337
———
2.
702
- 397
———
3.
400
- 143
———
4.
506
- 188
———
6.
4,607
- 1,248
————
7.
7,007
- 5,912
————
8.
3,209
- 2,269
————
9.
9,100
- 7,662
————
5.
2,209
- 785
————
10.
8,500
- 6,294
————
Writing Math Rich had a subtraction problem where he had
to subtract 2,345 from 6,000. Where did he have to regroup? Explain
what he did first.
Reteach
4–24
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L4_RET.indd 4–24
11/30/07 1:52:55 AM
Name
Chapter 4, Lesson 4
Practice
Date
Subtract Across Zeros
CA Standards
NS 3.1,
NS 3.0
Subtract. Estimate or add to check.
1.
6.
11.
15.
408
-254
______
4,005 - 846 =
2.
7.
8,012 - 1,609 =
6, 0 0 8
5489
________
680
-385
______
5, 6 0 2
-947
______
12.
16.
3.
902
-888
______
4.
300
-148
______
8.
7, 0 2 0
-963
______
9.
$30.09
-23.52
________
13.
$90.05
45.07
________
7,080 - 5,093 =
17.
5.
10.
2, 0 5 1
-762
______
$90.00
-54.13
________
5,500 - 2,801=
14.
7,209 - 4,222 =
$40.09 - $22.44 =
18.
$80.00 - 67.33 =
Test Practice
Circle the correct answer.
19.
Leah plans to write 200 pages for her
book by the end of the year. So far, she
has written 124 pages. How many more
pages must she write to meet her goal?
20.
A folksinger made 1,000 copies
of his current CD. So far, he has sold
583 copies. How many copies does
he have left?
A
200
C
124
A
417
C
317
B
176
D
76
B
400
D
471
Writing Math Oren plans to drive 3,200 miles from the East
Coast to the West Coast. So far, he has driven 1,789 miles. How many
miles are left to drive? Explain how you found your answer.
Practice
4–25
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L4_PRAC.indd 4–25
11/30/07 1:53:25 AM
Name
Chapter 4, Lesson 4
Enrichment
Date
Radio Stations
CA Standards
NS 3.1,
NS 3.0
There are nearly 11,000 commercial radio stations in the United
States. They play many different kinds of music and appeal to
different groups of listeners. The table below lists some of the kinds
of radio stations and the number of each. Use the information in the
table to solve each problem.
1.
2.
How many more stations play
country music than top 40 music?
Commercial Radio Stations in the U.S.
Kind of Format
What format is played on 298 more
stations than those stations playing
adult classic songs?
Number of Stations
Country
2,019
News/Talk
1,569
Spanish
703
Top 40 Music
502
Adult Classic Songs
Rhythm and Blues
405
150
Source: 2006 New York Times Almanac, p. 402 (statistics for
year 2005)
3.
How many fewer stations play rhythm
and blues music than news/talk?
5.
If there are 10,731 commercial radio
stations in the United States, how many
of them are not represented in this
table?
4.
What two kinds of stations, if added
together, would outnumber country
music stations by 52?
Writing Math Chris couldn’t figure out how to get the answer
to problem 4. What steps would help her get the correct answer?
Enrichment
4–26
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L4_ENR.indd 4–26
11/30/07 1:54:00 AM
Chapter 4, Lesson 4
Name
Leveled Problem Solving
Date
Subtract Across Zeros
CA Standards
NS 3.1,
NS 3.0
Solve each problem.
1.
Harry has been collecting coins since
he was 6. He has 700 coins in his
collection. His father’s coin collection
has 1,040 coins. How many more coins
does the father have than his son?
2.
Harry evaluated his coin collection to be
worth $400. But a coin dealer offered to
give him only $220 for it. Harry decided to
keep his coins. What was the difference
between his evaluation of his collection
and the dealer’s offer?
3.
Harry has 17 Indian head pennies
and 53 Lincoln wheat-ear pennies in
his collection. He also has 15 buffalo
nickels and 47 older Jefferson nickels.
How many more pennies does he have
than nickels?
4.
Harry has 17 Indian head pennies and
53 Lincoln wheat-ear pennies in his
collection. He also has 15 buffalo
nickels and 47 older Jefferson nickels.
Of the 700 coins in Harry’s collection,
how many are not pennies and
nickels?
5.
Harry’s dad gave him a silver dollar
worth $20 and a Franklin half dollar
worth $5.50 for his birthday. A friend
offered Harry $40 for both coins. How
much above the stated value would
Harry get if he sold the coins?
6.
Harry visited a coin show. On display
were 3,007 American coins and
1,526 foreign coins. How many more
American coins than foreign coins
were at the show?
Leveled Problem Solving
4–27
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L4_PS.indd 4–27
11/30/07 1:55:32 AM
Name
Chapter 4, Lesson 4
Homework
Date
Subtract Across Zeros
CA Standards
NS 3.1,
NS 3.0
Subtract. 7,002 - 594
6 10
7, 0 0 2
-594
Step 1 Regroup one thousand as 10 hundreds.
9
6 10 10
7, 0 0 2
-594
Step 2 Regroup one of hundreds as 10 tens.
9
9
6 10 10 12
Step 3 Regroup one ten as 10 ones and subtract. 7, 0 0 2
-594
6, 4 0 8
Solution: 7,002 - 594 = 6,408
Subtract. Estimate or add to check.
1.
4,000 - 335 =
5.
7,004 - 2,840 =
6.
6,102 - 3,354 =
8.
$60.00 - $56.85 =
9.
$100.00 - $81.54 =
4QJSBM3FWJFX
2.
7,064 - 805 =
3.
3,080 - 1,064 =
7.
10.
4.
5,007 - 421 =
5,320 - 2,299 =
$50.00 - $28.74 =
(Chapter 3, Lesson 2) KEY NS 3.1
Find the number that makes each number sentence true. Tell which
property of addition you used.
11.
2,589 + 3,579 = 3,579 +
12.
0 + 10,986 =
13.
Joyce rewrote (462 + 947) + 211 as 462 + (947 + 211). What property of addition
was she using?
Homework
4–28
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_HMWK_C4L4.indd 4–28
1/27/08 10:27:47 AM
Name
Chapter 4, Lesson 5
Daily Routines
Date
Problem Solving: Too Much or
Too Little Information
Problem of the Day
KEY NS 3.1
Jamal’s youngest sister was born in 2004. Jamal was born in 1986.
How many years older than his youngest sister is Jamal?
Number Sense
MR 2.3
Make an organized list to find how many numbers between 1,500 and
1,700 have a 0 in the ones place and round to 1,600.
Number of the Day
KEY NS 3.1
245
Write two subtraction problems with a difference of 245. One problem
should involve regrouping tens as ones, and one should involve
regrouping hundreds as tens.
Facts Practice
KEY NS 3.1
Find each difference.
1.
487 - 315
2.
958 - 587
3.
2,752 - 1,429
4.
4,401 - 2,803
5.
38,491 - 22,593
6.
59,825 - 36,758
Daily Routines
4–29
Use with Chapter 4, Lesson 5
Copyright © Houghton Mifflin Company. All rights reserved.
C04_G4_CAMath_Daily Rout_T.indd 4–29
11/30/07 1:40:01 AM
Name
Chapter 4, Lesson 5
Reteach
Date
Problem Solving: Too Much or Too Little
Information
CA Standards
MR 1.1,
NS 3.1
Read It Look for information.
The Golden Gate Bridge has 2 towers that rise 746 feet above sea level. The length of
the bridge is 1.7 miles. The roadway is 220 feet above sea level. What is the distance
from the roadway of the bridge to the top of the tower?
Picture It Here is a table of the information in the problem.
Measurement
Needed Fact?
Height of Towers above Sea Level
746 feet
yes
Length of Bridge
1.7 miles
no
Height of Roadway above Sea
Level
220 feet
yes
Solve It Use the table to solve the problem.
Subtract to find the distance from the roadway to the top of the tower.
746 ft – 220 ft =
526
ft
Solve. If not enough information is given, tell what information is
needed to solve the problem.
1.
The suspension cables of the Golden Gate Bridge are each 7,650 feet long. How
much cable is used altogether in the bridge?
2.
Chicago’s Sears Tower is 1,450 feet tall with 110 stories. The Petronas Twin Towers
are 1,480 feet tall with 88 stories. How much taller are the Petronas Twin Towers
than Chicago’s Sears Tower?
Writing Math When a problem gives too much information,
how do you find the information you need?
Reteach
4–30
Use with text pages 84–85.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L5_RET.indd 4–30
11/30/07 1:56:30 AM
Name
Chapter 4, Lesson 5
Practice
Date
Problem Solving:
Too Much or Too Little Information
CA Standards
MR 1.1,
NS 3.1
Mrs. Winter is planning a party for her class.
Use the information on the table to
answer problems 1–3. If not enough
information is given, tell what
information is needed to solve
the problem.
Item
Cranberry Juice
Pretzels
Apple Slices
Almonds
String Cheese Sticks
Number of Servings
8 per gallon
10 per bag
2 per apple
4 per bag
24 per bag
1.
Mrs. Winter has 24 students. If she sets aside $10 for juice, will the students have
enough to drink?
2.
Mrs. Winter bought 3 bags of pretzels, 1 bag of string cheese sticks, and 6 bags of
almonds. How many servings of pretzels will she have left over?
Test Practice
Circle the letter of the correct answer.
3.
Henry drank 2 bottles of water on
Saturday, 4 bottles on Monday, and
1 bottle on Tuesday. How many more
bottles of water did he drink than last
week?
4.
Nadia finds 3 coins under her bed, 3
times that many under the
1
as many in her coat
couch, and _
3
pocket. How many coins did
she find in all?
A
not enough information
A
not enough information
B
too much information
B
too much information
C
3 more
C
7 coins
D
4 more
D
13 coins
Writing Math Alexis has been given a problem with too
much information. What should she do?
Practice
4–31
Use with text pages 84–85.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L5_PRAC.indd 4–31
11/30/07 1:56:59 AM
Name
Date
Problem Solving: Too Much
or Too Little Information
Chapter 4, Lesson 5
Enrichment
CA Standards
MR 1.1,
NS 3.1
Use the information in the table. Write 4 problems: 2 with too much
information and 2 with too little information. Exchange problems
with a partner and solve.
Mountain Peak
Mt. McKinley
Mt. Whitney
Mr. Elbert
Mt. Rainier
Mt. Everest
Mt. Kilimanjaro
Location
Alaska
California
Colorado
Washington
Nepal/Tibet
Tanzania
Height in Feet
20,320
14,494
14,433
14,410
29,035
19,340
1.
2.
3.
4.
Writing Math Marylee wrote this problem: How much taller
is Nepal’s Mt. Everest than California’s Mt. Shasta? Does Marylee’s
problem have too much information or too little information? Explain.
Enrichment
4–32
Use with text pages 84–85.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L5_ENR.indd 4–32
11/30/07 1:57:37 AM
Chapter 4, Lesson 5
Name
Leveled Problem Solving
Date
Problem Solving: Too Much or Too
Little Information
CA Standards
MR 1.1,
NS 3.1
Use the information in the paragraph below to solve problems 1–4.
Problem Beverly sold tickets to the school play. She sold 28 tickets
and collected $140. Jeff sold 15 tickets and collected $75. The tickets
cost $5. How much more money did Beverly collect than Jeff?
1.
What information do you need to solve
the problem?
2.
How will you solve the problem?
3.
Do you have enough information
to solve the problem? If so, solve
and explain your steps. If not, what
information do you need?
4.
How can you tell if you have too much
or too little information?
5.
Eddie buys a box of 48 dog treats, 1
leash, and 2 bottles of dog shampoo
for his puppy. Does Eddie have enough
shampoo to give his puppy a bath
every week for a month? Do you have
too much or too little information to
solve this problem?
6.
Kylie put 4 dimes, 2 nickels, and
2 pennies in a bag. She and Samantha
took turns pulling a coin from the
bag until they each had 4 coins. How
much money does each student have?
Do you have too much or too little
information to solve this problem?
Leveled Problem Solving
4–33
Use with text pages 84–85.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L5_PS.indd 4–33
11/30/07 1:58:09 AM
Name
Chapter 4, Lesson 5
Homework
Date
Problem Solving:
Too Much or Too Little Information
CA Standards
MR 1.1,
NS 3.1
Rachel took 60 pictures. It cost her $18 to develop the pictures. Anna took 12 fewer
pictures than Rachael. How many pictures did Anna take?
What is the question?
What do I need to know?
What do I know?
• How many pictures did
Anna take?
• How many pictures did
Rachael take?
• Rachael took 60 pictures.
• Anna took 12 fewer
pictures.
Solve the problem.
60
-12
48
← number of pictures Rachael took
← 12 fewer pictures
← number of pictures that Anna took
Solution: Anna took 48 pictures.
Solve. If not enough information is given, tell what information is
needed to solve the problem.
1.
Billy recorded 6 songs for his new CD.
Each song is about 4 minutes long.
How much will Billy make if he sells
50 CDs?
4QJSBM3FWJFX
2.
Crystal is training to run a marathon.
A marathon is about 26 miles. During
the first three weeks of training, she
will run 52 miles a week. During the
next three weeks of training, she will
run 60 miles a week. How many more
miles will she run in week 5 than in
week 2?
(Chapter 3, Lesson 3) KEY NS 1.3, NS 2.1
Round each number to the nearest hundred. Then estimate the sum.
3.
427 + 872
+
5.
4.
=
5,789 + 7,246
+
=
Jason counted his steps as he walked across the Golden Gate Bridge. He counted to
1,500 and stopped to rest. When he started to walk again, he started counting with
1 and counted 1,275 more steps. To the nearest hundred, about how many steps did
Jason take as he walked across the bridge?
Homework
4–34
Use with text pages 84–85.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_HMWK_C4L5.indd 4–34
11/30/07 1:58:42 AM
Name
Chapter 4 Test
Date
Chapter 4 Test
Circle the letter of the correct answer.
1
4
What is $500 - $400?
3
A
$200
A
$1
B
$800
B
$10
C
$1,000
C
$100
D
$1,200
D
$900
5
2
What is $2,000 - $1,200?
What is $500 - $240?
A
$60
C
$360
B
$260
D
$740
What is the difference for
$2.47 - $1.23?
A
$1.24
B
$1.30
C
$3.00
D
$3.70
Dwayne had $86. Then, he bought
this baseball glove.
6
$30
How much money does Dwayne
have left?
A
$36
B
$56
C
$106
D
$126
Assessment Resources 4
Round each number to the nearest
ten cents. What is the difference of
$37.68 and $27.47?
A
$9.21
B
$9.45
C
$10.20
D
$10.45
4–35
Copyright © Houghton Mifflin Company. All rights reserved.
73784_C4_U2_CT.indd 4–35
11/30/07 1:59:22 AM
Name
7
8
Chapter 4 Test
Date
Badri wants a new bicycle that
costs $189.99 and a bicycle helmet
that costs $19.20. What is the
difference between the price of the
bicycle and the price of the helmet?
9
What is the exact difference
between the following numbers?
3,399
- 1,245
A
$169.79
A
1,300
B
$170.79
B
2,100
C
$171
C
2,154
D
$209
D
2,200
Dora’s father is buying her roller
blades that cost $38.75 and knee
pads that cost $17.98.
10
11
About how much change will her
father receive if he pays with a
$100 bill?
A
$43
B
$57
C
$60
D
$80
Assessment Resources 4
What is 841 - 232?
A
600
B
609
C
610
D
640
What is $114.81 - $78.77?
A
$35.00
B
$36.04
C
$38.00
D
$40.09
4–36
Copyright © Houghton Mifflin Company. All rights reserved.
73784_C4_U2_CT.indd 4–36
11/30/07 1:59:43 AM
Name
12
13
What is $101,755 - $94,345?
A
$741
B
$7,410
Rosa had $10.08. She spent $4.04
on a pair of earrings and $1.24 on a
soft pretzel. How much money does
Rosa have left?
C
$7,610
A
$2.80
D
$74,100
B
$4.80
C
$5.20
D
$6.04
15
What is the difference between the
numbers below?
2,300
- 158
14
Chapter 4 Test
Date
A
2,102
B
2,142
C
2,152
D
2,458
What is $1,410.10 - $275.10?
16
17
What is 400 - 227?
A
73
B
173
C
200
D
227
Emilio has 245 coins. He can
buy 50 more coins for $35. What
information is not needed to figure
how many coins he will have after
buying the 50 coins?
A
$100.35
B
$113.50
C
$135.00
A
how many coins he has now
D
$1,135.00
B
how many coins he will buy
C
the cost of the coins he will buy
D
whether he is adding or subtracting
from his collection
Assessment Resources 4
4–37
Copyright © Houghton Mifflin Company. All rights reserved.
73784_C4_U2_CT.indd 4–37
11/30/07 1:59:58 AM
Name
18
19
Chapter 4 Test
Date
Henry has been in 18 ballet recitals.
What other information is needed to
calculate the total number of recitals
given by the ballet company?
A
how many students in his class
B
how long each recital lasts
C
how many years he has done ballet
D
how many recitals he missed
20
Mieko’s school has 24 classes
and 360 students. What more does
Mieko need to know to calculate
the average number of students
per class?
A
the number of teachers
B
the number of third graders
C
the number of principals
D
no other information
Jason has 900 pieces of model
railroad track. He uses 25 pieces for
each loop of track. The pieces are
5 inches long. What is not needed
to find out how many loops he will
make?
A
the length of each piece of track
B
the number of pieces of track
C
the number of pieces per loop
D
how many pieces are in each loop
Assessment Resources 4
4–38
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73784_C4_U2_CT.indd 4–38
11/30/07 2:00:14 AM
Name
Date
Chapter 4 Test
Individual Student Record Form
Chapter 4 Test
Use the chapter test to identify your students’ mastery
of the skills in the chapter. The item analysis below will
help you recognize strengths and weaknesses. Record
Correct
Answer
Student
Response
the student’s response in the column to the right of the
correct answer
California State Standards
1. C
4NS3.1
Demonstrate an understanding of, and the ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
2. B
4NS3.1
3. B
4NS3.1
4. B
4NS3.1
5. A
4NS2.1
6. C
4NS2.1
7. B
4NS2.1
8. A
4NS2.1
9. C
4NS3.1
10. B
4NS3.1
11. B
4NS2.1
Estimate and compute the sum or difference of whole numbers and positive
decimals to two places.
12. B
4NS3.1
13. B
4NS3.1
Demonstrate an understanding of, and the ability to use, standard algorithms for the
addition and subtraction of multidigit numbers.
14. D
4NS2.1
15. B
4NS2.1
16. B
4NS3.1
Demonstrate an understanding of, and the ability to use, standard algorithms for the
addition and subtraction of multidigit numbers.
17. C
4MR1.1
18. D
4MR1.1
Analyze problems by identifying relationships, distinguishing relevant from irrelevant
information, sequencing and prioritizing information, and observing patterns.
19. A
4MR1.1
20. D
4MR1.1
Estimate and compute the sum or difference of whole numbers and positive
decimals to two places.
Demonstrate an understanding of, and the ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
Estimate and compute the sum or difference of whole numbers and positive
decimals to two places.
out of 20
4–39
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1/31/08 10:30:18 AM
Teacher Name
Date
Chapter Test 4
Class Record Form
Chapter 4 Test
Use the chapter test to identify your students’ mastery
of the California Mathematics Contents Standards in the
chapter.
Item
The record below will allow you to group students for
differentiated instruction.
California Mathematics Contents Standards
1.
4NS3.1
2.
4NS3.1
3.
4NS3.1
4.
4NS3.1
5.
4NS2.1
6.
4NS2.1
7.
4NS2.1
8.
4NS2.1
9.
4NS3.1
10.
4NS3.1
11.
4NS2.1
Estimate and compute the sum or difference of
whole numbers and positive decimals to two
places.
12.
4NS3.1
13.
4NS3.1
Demonstrate an understanding of, and the
ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
14.
4NS3.1
15.
4NS3.1
16.
4NS3.1
Demonstrate an understanding of, and the
ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
17.
4MR1.1
18.
4MR1.1
19.
4MR1.1
Analyze problems by identifying relationships,
distinguishing relevant from irrelevant
information, sequencing and prioritizing
information, and observing patterns.
20.
4MR1.1
Groups for differentiated instruction
Demonstrate an understanding of, and the
ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
Estimate and compute the sum or difference of
whole numbers and positive decimals to two
places.
Demonstrate an understanding of, and the
ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
Estimate and compute the sum or difference of
whole numbers and positive decimals to two
places.
4–40
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73784_U2_C4_CRF_CT.indd 4–40
11/30/07 2:01:25 AM
Chapter Resources
Grade 4, Chapter 4
Contents
Resources for Chapter 4: Subtraction
• Lesson Quizzes Lessons 4.1–4.5
Daily Routines
Reteach
Practice
Enrichment
Leveled Problem Solving
Homework
• Chapter 4 Test
Individual and Class Record Sheets
B
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Booklet 4 of 29
TTL_73744_U2_C04.indd 4–1
4–1
2/1/08 3:13:27 PM
Name
Date
Chapter 4, Lesson 1
Lesson Quiz
Lesson 1 Quiz
Use play money to subtract.
1.
$2,000 - $289
2.
$2,000 - $430
3.
$2,000 - $76
4.
$2,000 - $825
Lesson Quiz
Use with Chapter 4, Lesson 1
Copyright © Houghton Mifflin Company. All rights reserved.
Name
Date
Chapter 4, Lesson 2
Lesson Quiz
Lesson 2 Quiz
Round each number to the nearest hundred. Then estimate
the difference.
1.
5,864 - 4,216
2.
47,280 - 18,632
3.
6,941 - 3,662
4.
89,043 - 75,508
Lesson Quiz
4–2
Use with Chapter 4, Lesson 2
Copyright © Houghton Mifflin Company. All rights reserved.
CAPEG4_C04_LessonQuiz.indd 4–2
11/30/07 1:35:08 AM
Name
Date
Chapter 4, Lesson 3
Lesson Quiz
Lesson 3 Quiz
Subtract. Use addition to check your answer.
1.
419 - 351
2.
3,544 - 2,163
3.
824 - 682
4.
7,449 - 3,965
Lesson Quiz
Use with Chapter 4, Lesson 3
Copyright © Houghton Mifflin Company. All rights reserved.
Name
Date
Chapter 4, Lesson 4
Lesson Quiz
4–3
Use with Chapter 4, Lesson 4
Lesson 4 Quiz
Subtract.
1.
403 - 360
2.
301 - 83
3.
802 - 601
4.
7,049 - 2,906
Lesson Quiz
Copyright © Houghton Mifflin Company. All rights reserved.
CAPEG4_C04_LessonQuiz.indd 4–3
11/30/07 1:35:36 AM
Name
Date
Chapter 4, Lesson 5
Lesson Quiz
Lesson 5 Quiz
Gil ran 8 miles on Friday and 12 miles each day on Saturday
and Sunday.
1.
How many miles in all did Gil run on the weekend?
2.
Gil ran farther on Monday than on Sunday. How far did he
run on the 4 days from Friday through Monday?
Lesson Quiz
Use with Chapter 4, Lesson 5
Copyright © Houghton Mifflin Company. All rights reserved.
Lesson Quiz
4–4
Copyright © Houghton Mifflin Company. All rights reserved.
CAPEG4_C04_LessonQuiz.indd 4–4
11/30/07 1:36:00 AM
Name
Chapter 4, Lesson 1
Daily Routines
Date
Hands On: Model Subtraction from 2,000
Problem of the Day
MR 2.3
The table below shows the number of visitors to a zoo over one week.
Day
Number of Visitors
Weekdays
5,182
Saturday
3,891
Sunday
3,036
Looking at the table, how would you find about how many people
attended the zoo in one week?
Number Sense
KEY NS 1.2
On your whiteboard, write three different numbers which are less than
nine hundred fifty thousand, but greater than nine hundred forty-nine
thousand.
Number of the Day
KEY NS 1.3
300
Write two numbers greater than 300 and two numbers less than 300
which would round to 300.
Facts Practice
KEY NS 3.1
Find each sum.
1.
152 + 343
2.
783 + 854
3.
54,198 + 2,003
4.
16,592 + 405,213
5.
129 + 452 + 1,490
6.
5,391 + 2,310 + 4,007
Daily Routines
4–5
Use with Chapter 4, Lesson 1
Copyright © Houghton Mifflin Company. All rights reserved.
C04_G4_CAMath_Daily Rout_T.indd 4–5
11/30/07 1:37:40 AM
Name
Chapter 4, Lesson 1
Reteach
Date
Hands On: Model Subtraction
from 2,000
CA Standard
NS 3.1
A factory has 2,000 workers. 532 workers are on the night shift. The rest work the
day shift. How many workers work the day shift?
Step 1 Model 2,000. Regroup 1,000 into 10 groups of 100. Take away 500.
100
100
100
100
100
100
100
100
100
100
1,000
Step 2 Regroup 100 into 10 groups of 10. Regroup 10 into 10 ones. Take away 32.
100
100
10
10
10
10
10
100
100
10
10
10
10
1
1
1
1
1
1
1
1
1
1
1,000
Step 3 Count what’s left to find the difference.
Solution: 2,000 - 532 = 1,468
Solve. Use regrouping to help you.
1.
2,000 - 644 =
3.
$2,000 - $902 =
5.
2,000 - 71 =
1,634
1,417
4. 2,000 - 583 =
6. $2,000 - $823 = $1,177
1,356
$1,098
1,929
2.
2,000 - 366 =
Writing Math Zach was subtracting 950 from 2,000. What
place number did he not have to regroup? Explain.
He didn’t have to regroup the tens because zero
ones from zero ones is zero.
Reteach
4–6
Use with text pages 72–73.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L1_RET.indd 4–6
11/30/07 1:41:50 AM
Name
Chapter 4, Lesson 1
Practice
Date
Hands On: Model Subtraction
from 2,000
CA Standard
NS 3.1
Subtract. Use play money to help.
1.
$2,000 - $691 =
2.
$1,309
4.
$2,000 - $585 =
$2,000 - $821 =
3.
$1,179
5.
$1,415
$2,000 - $437 =
$1,563
$2,000 - $200 =
6.
$1,800
$2,000 - $372 =
$1,628
Subtract using regrouping.
7.
2,000 - 936 =
8.
1,064
10.
2,000 - 199 =
1,801
2,000 - 21 =
9.
1,979
11.
2,000 - 704 =
1,296
2,000 - 543 =
12.
1,457
2,000 - 881 =
1,119
Test Practice
Circle the letter of the correct answer.
13.
How much is $309 subtracted from
$2,000?
14.
In the problem 2,000 - 642, which
places have to be regrouped?
A
$1,609
A
tens, hundreds, thousands
B
$1,691
B
tens, thousands
C
$1,702
C
hundreds, thousands
D
$1,093
D
ones, tens, hundreds
Writing Math Dale did the problem 2,000 - 850 and got
the answer 2,150. What did he do wrong to get this answer? Explain.
He forgot to regroup the thousands and make
10 hundreds out of one thousand.
Practice
4–7
Use with text pages 72–73.
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73744_C4L1_PRAC.indd 4–7
11/30/07 1:42:24 AM
Name
Chapter 4, Lesson 1
Enrichment
Date
Weight
CA Standard
NS 3.1
Read the table of measurements of weight. Then use the
information to solve the problems.
Measurements of Weight
1 pound (lb) = 16 ounces (oz)
1 short hundred-weight = 100 lbs
1 short ton = 2,000 lbs
1 long ton = 2,240 lbs
1.
Jim’s piano weights 1 short ton. Fran’s organ weights 6 short hundred-weights.
How many pounds more is Jim’s piano?
2.
The combined weight of the members of Lee’s family is a long ton. The combined
weight of the members of Connie’s family is a short ton. What is the difference
between their families’ weights?
3.
240 lbs
A small security safe weighs 2,000 pounds. The contents of the safe weight 80 pounds.
What would the safe weigh if it were empty?
4.
1,400 lbs
1,920 pounds
The old cannon on the town green weighs a short ton. The pile of cannon balls
alongside it weighs 305 pounds. How much more does the cannon weigh?
1,695 pounds
5.
The men had to move the cannon 2,000 feet across the green. They carried it
843 feet and then stopped to rest. How much farther did they have to carry the cannon?
1,157 feet
Writing Math A boulder weighs 2,000 pounds. A rock
weighs 4,800 ounces. To get the difference between the two weights,
what operation must you do first? Second?
First, convert to like units. Either multiply 2000
pounds by 16 or divide 4800 by 16. Then subtract the
weight of the rock from the weight of the boulder.
Enrichment
4–8
Use with text pages 72–73.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L1_ENR.indd 4–8
11/30/07 1:42:52 AM
Chapter 4, Lesson 1
Name
Leveled Problem Solving
Date
Hands On: Model Subtraction
from 2,000
CA Standard
NS 3.1
Solve each problem.
1.
The new department store sells 2,000
different items of clothing. It also sells
1,500 other products. How many more
clothing items does the store sell?
2.
500 items
3.
1,250 items
The store was going to give prizes to
its 2,000th customer. Lana was the
1,632nd customer. How many more
people will walk into the store before
the prize winner?
4.
Mr. Chee was interested in a new
riding lawnmower that costs $2,000.
He looked in his wallet and saw that
he had a $500 bill, two $100 bills, a
$50 bill and two $10 bills. How much
more money does he need to buy the
lawnmower?
6.
$1,230
Leveled Problem Solving
Jeff bought a new stove at the store
for $795 plus a $30 delivery charge.
He had $2,000 in his checking account
before the purchase. After he wrote
a check for the amount, how much
money did he have left in his
account? Level II
$1,175
367 people
5.
Of the 2,000 clothing items, 750 are for
men and the rest are for women.
How many clothing items are for
women? Level I
The department store has 2,000 square
feet of space inside. Of this space,
141 square feet are taken up by
offices, 300 square feet by storage,
and 75 by rest rooms. How much
space remains for floor display
space? Level III
1,484 square feet
4–9
Use with text pages 72–73.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L1_PS.indd 4–9
11/30/07 1:43:37 AM
Name
Chapter 4, Lesson 1
Homework
Date
Hands On: Model Subtraction
from 2,000
CA Standard
NS 3.1
Mr. McFee had $2,000. He bought a used car for $840. How much money did he
have left?
Step 1 Subtract $840 from $2,000. Represent $1,000 as ten $100 bills.
Step 2 Regroup one $100 bill as ten $10 bills.
° ° ° ° °
° ° ° ° °
Step 3 Write a subtraction problem to show your final answer.
Solution: $2,000 - $840 = $1,160
Use play money to help you subtract.
1.
$2,000 - $315 =
2.
$1,685
4.
3.
$1,914
$2,000 - $892 =
5.
$1,108
4QJSBM3FWJFX
$2,000 - $86 =
$2,000 - $600 =
$1,400
$2,000 - $517 =
6.
$1,483
$2,000 - $276 =
$1,724
(Chapter 3, Lesson 4) KEY NS 3.1
Add.
7.
9.
506 + 492 =
998
8.
683 + 77 =
760
George had 108 bottle caps in his collection. Annie had 57 bottle caps.
How many did they have together?
165 bottle caps
Homework
4–10
Use with text pages 72–73.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_HMWK_C4L1.indd 4–10
11/30/07 1:44:10 AM
Name
Chapter 4, Lesson 2
Daily Routines
Date
Estimate Differences
Problem of the Day
KEY NS 3.0
Anna has 312 photos in her scrapbook; 120 photos are of family
members. How many photos in the scrapbook are not of family
members?
Number Sense
NS 1.0
Label each point on the number line.
10, 60, 110
0 20 40 60 80 100 120 140
Word of the Day
MR 2.3
sum
When adding, will you find the sum or the difference?
Facts Practice
KEY NS 1.2
Compare using >, <, or =.
1.
4,152
4.
615,555
4,512
615,555
Daily Routines
2.
6,001
10,000
5.
99,999
4–11
999,999
3.
433,001
334,001
6.
800,000
777,777
Use with Chapter 4, Lesson 2
Copyright © Houghton Mifflin Company. All rights reserved.
C04_G4_CAMath_Daily Rout_T.indd 4–11
2/6/08 6:55:37 PM
Name
Chapter 4, Lesson 2
Reteach
Date
Estimate Differences
CA Standards
NS 1.3, NS 2.1
Roy had 3,477 songs on his MP3 player. Elena had only 1,592 songs on her MP3
player. How many more songs did Roy have than Elena? Estimate the difference.
Step 1 Round each number to the nearest hundred and subtract
3,500
1,600
————
1,900
3,477 rounds to 3,500.
1,592 rounds to 1,600.
Step 2 To get a closer estimate, round to the nearest ten.
3,480
1,590
————
1,890
3,477 rounds to 3,480.
1,592 rounds to 1,590.
Solution: Roy has about 1,890 more songs on his MP3 player than Elena has on hers.
Round each number to the nearest hundred. Then estimate.
1.
34,501 - 17,989 =
2.
1,766 - 531 =
16,500
3.
56,724 - 23,861 =
1,300
4.
32,800
4,042 - 683 =
3,300
Round each number to the nearest thousand. Then estimate.
5.
93,615 - 33,518 =
6.
8,703 - 5,492 =
60,000
9.
7,815 - 3,602 =
10,545 - 4,106 =
7,000
72,443 - 22,687 =
4,000
10.
4,000
13.
7.
49,000
42,573 - 21,322 =
11.
22,000
14.
8.
6,013 - 2,654 =
1,000
12.
3,000
53,448 - 18,252 = 15. 11,399 - 3,404 =
35,000
8,000
6,228 - 4,872 =
37,842 - 12,928 =
25,000
16.
86,798 - 51,501 =
35,000
Writing Math In problem 16 above, if the second number
was 51,499 instead of 51,501 would the answer change? Why?
Yes; you would have rounded down to 51,000
instead of up to 52,000.
Reteach
4–12
Use with text pages 74–76.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L2_RET.indd 4–12
11/30/07 1:44:56 AM
Name
Chapter 4, Lesson 2
Practice
Date
Estimate Differences
CA Standards
NS 1.3, NS 2.1
Round each number to the nearest hundred. Then estimate
the difference.
1.
6,324 - 4,213 =
2.
3.
8,200
2,100
4.
22,937 - 14,679 =
4,583 - 2,777 =
5.
1,800
57,627 - 12,309 =
45,300
85,533 - 32,486 =
6.
8,792 - 3,934 =
53,000
4,900
Round each number to the nearest thousand. Then estimate
the difference.
7.
5,355 - 2,798 =
8.
68,709 - 40,999 =
9.
7,063 - 2,395 =
28,000
2,000
5,000
Test Practice
Circle the letter of the correct answer.
10.
The Larson family drove 10,820 miles
in their van. They drove 7,296 miles in
their compact car. About how many
more miles did they drive with the van?
Round each number to the nearest
hundred and estimate.
11.
Crystal’s home town has 62,784
people. Simon’s home town has
87,200 people. About how many
more people live in Simon’s town than
Crystal’s town? Round each number to
the nearest thousand and estimate.
A
1,500 miles
C
3,500 miles
A
24,000
C
35,000
B
2,500 miles
D
4,000 miles
B
30,000
D
15,000
Writing Math The teacher asked Lewis and Kara to round
the number 62,500 to the nearest thousand. Lewis’s answer was
63,000 and Kara’s was 62,000. Are they both right? Explain.
Possible answer: No; the digit in the hundreds
place is 5 or greater, so you should round up.
Practice
4–13
Use with text pages 74–76.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L2_PRAC.indd 4–13
11/30/07 1:45:23 AM
Name
Chapter 4, Lesson 2
Enrichment
Date
Diameters of Planets
CA Standards
NS 1.3, NS 2.1
A planet’s diameter is its width measured at its widest point,
its equator. The chart below lists the diameters of all 8 planets
in miles. Use the information to answer the problems.
1.
Which planet’s diameter, if rounded to
the nearest thousand, is 32,000 miles?
Uranus
2.
About how much greater is the diameter
of Earth than that of Venus?
Round to the nearest hundred.
about 400 miles
3.
If rounded to the nearest thousand, which two
planets have a difference in diameter of only
1,000 miles?
4.
Mars and Mercury
Planet
Diameter
Mercury
3,031 miles
Venus
7,520 miles
Earth
7,926 miles
Mars
4,200 miles
Jupiter
88,700 miles
Saturn
74,600 miles
Uranus
Neptune
31,570 miles
30,200 miles
Source: World Book, article on Planets
Which planet has a diameter that is 59,000 miles less than Jupiter’s diameter when
rounded to the nearest thousand?
Neptune
5.
What is the difference in diameter between Saturn and Earth to the nearest hundred?
about 66,700 miles
Writing Math It is not necessary to round the diameters
of 4 planets to the nearest hundred. Why?
Mars, Jupiter, Saturn, and Neptune all end in
exact hundreds. They cannot by rounded up
or down.
Enrichment
4–14
Use with text pages 74–76.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L2_ENR.indd 4–14
11/30/07 1:46:18 AM
Chapter 4, Lesson 2
Name
Leveled Problem Solving
Date
Estimate Differences
CA Standards
NS 1.3, NS 2.1
Solve each problem.
1.
The indoor sports arena seats
15,600 people. Last night’s ball
game was attended by 9,400 people.
Round each number to the nearest
thousand and estimate how many
seats were empty at the game.
2.
about 7,000 seats
3.
The stadium underwent minor
renovations. It cost a total of $44,560.
The stadium owners have paid the
builder $20,942 so far. About how
much money do they still owe for this
work? Round to the nearest hundred
and then estimate the difference.
about 2,000 more
4.
about $23,700
5.
On Ladies’ Day, a total of
4,566 women came to the stadium.
There were 8,249 men and
1,522 children at the same game.
About how many more men and
children attended the game than
women? Round each number to
the nearest ten before estimating.
Receipts for the Friday night game
were $80,522. Saturday’s receipts were
$94,268. About how much more money
did the stadium take in on Saturday than
Friday? Round to the nearest hundred
and estimate. Level II
about $13,800
6.
Last season the stadium sold
23,921 cans of soda and
14,652 bottles of water to fans.
They also sold 22,428 hot dogs and
13,756 hamburgers. About how many
more beverages did they sell than
sandwiches last season? Round each
number to the nearest hundred before
estimating. Level III
about 2,400 more
beverages
about 5,200 more
Leveled Problem Solving
The arena had a double header on
Saturday. A total of 12,200 people
attended the afternoon game and
13,900 came to the evening game.
About how many more people
attended the evening game? Round
each number to the nearest thousand
before finding the estimate. Level I
4–15
Use with text pages 74–76.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L2_PS.indd 4–15
11/30/07 1:47:15 AM
Name
Chapter 4, Lesson 2
Homework
Date
Estimate Differences
CA Standards
NS 1.3, NS 2.1
Hector has $1,362. He buys a computer for $1,151. Does he have enough money left to
buy an MP3 player for $160?
Step 1 Round each amount to the nearest hundred.
$1,362 rounds to $1,400.
1,400
$1,151 rounds to $1,200.
-1,200
200
Step 2 Compare the 2 numbers. Which is larger?
$200 > $160
Solution: Hector has enough money left to buy the MP3 player.
Round each number to the nearest hundred. Then estimate the
difference.
1.
3,722 - 1,286 =
2.
5,951 - 2,503 =
2,400
3.
$4,362 - $1,764 =
3,500
4.
$2,600
55,229 - 23,287 =
31,900
Round each number to the nearest thousand. Then estimate the
difference.
5.
89,842 - 35,388 =
55,000
4QJSBM3FWJFX
6.
61,358 - 26,501 =
34,000
7.
6,874 - 1,804 =
8.
3,842 - 1,668 =
5,000
2,000
(Chapter 2, Lessons 2 and 3) KEY NS 1.2, NS 1.3
Order from greatest to least.
9.
4,407,951 4,687,004 4,724,812
4,724,812 4,687,004 4,407,951
10.
12,900,462 12,090,541 12,547,620
12,900,462 12,547,620 12,090,541
11.
What is 16,501 rounded to the nearest thousand?
17,000
Homework
4–16
Use with text pages 74–76.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_HMWK_C4L2.indd 4–16
11/30/07 1:47:52 AM
Name
Chapter 4, Lesson 3
Daily Routines
Date
Subtract Whole Numbers
Problem of the Day
KEY NS 3.1
Emma has 678 pennies. Her sister has 452 pennies. How many
pennies will they have if they combine their money?
Number Sense
KEY NS 1.2
Order the following numbers from greatest to least.
151,430; 157,888; 160,000; 149,999
Number of the Day
MR 2.3
24
How many ways can you use the number 24 today?
Facts Practice
KEY NS 3.0
Add to find the sum.
1.
6,433 + 1,999
2.
10,627 + 4,389
3.
11,111 + 998
4.
42,189 + 715
5.
52,061 + 6,081
6.
108,327 + 456,113
Daily Routines
4–17
Use with Chapter 4, Lesson 3
Copyright © Houghton Mifflin Company. All rights reserved.
C04_G4_CAMath_Daily Rout_T.indd 4–17
1/31/08 10:29:14 AM
Name
Chapter 4, Lesson 3
Reteach
Date
Subtract Whole Numbers
CA Standards
NS 3.1,
NS 3.0
Find 3,126 - 479.
Step 2 Subtract tens.
Regroup a hundred as
10 tens.
Step 1 Subtract ones.
Regroup a ten as 10 ones.
Step 3 Subtract
hundreds. Regroup a
thousand as 10 hundreds.
Then subtract thousands.
1011
11
0 116
//
116
2 0116
//
3,126
///
479
————
47
3,126
//
479
————7
-
3,126
/ // /
479
————
2,647
-
-
Solution: 3,126 - 479 = 2,647
Subtract. Use addition to check your answer.
1.
592
- 137
2.
———
796
- 625
7.
171
4,430
385
- 128
8.
———
5,579
3,542
- 727
————
2,815
257
9,128 - 3,549 =
4,994
- 564
————
527
———
11.
3.
———
455
6.
846
- 319
12.
372 - 189 =
183
4.
7,133
- 5,636
————
1,497
9.
4,698
- 2,314
5.
————
2,089
10.
————
5,129
- 4,632
————
497
2,384
13.
9,826
- 7,737
9,871 - 4,923 =
4,948
Writing Math Is problem 3 easier to solve than problem 4?
Yes; because the top digits in each place value
are greater than or equal to the bottom digits
and there is no need to regroup as there is in
problem 4.
Reteach
4–18
Use with text pages 78–80.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L3_RET.indd 4–18
11/30/07 1:48:55 AM
Name
Chapter 4, Lesson 3
Practice
Date
Subtract Whole Numbers
CA Standards
NS 3.1,
NS 3.0
Subtract. Use addition to check.
1.
924
-735
______
2.
189
6.
672
-49
_____
7.
2,573
9.
4.
2,385
623
7,402 - 4,829 =
3, 2 4 5
-860
______
3.
849
-364
______
485
9,266 - 4,157 =
8.
10.
1,177
5,611
5,481 - 1,954 =
3,527
5,109
6,648 - 5,471 =
6, 4 9 2
-881
______
5.
6,981 - 6,549 =
11.
8,482 - 3,234 =
5,248
432
Find each missing number.
12.
29 + 䊏 = 86
13.
䊏 - 292 = 605
16.
14.
904 + 䊏 = 999
17.
897
䊏 + 364 = 863
499
866
57
15.
䊏 - 64 = 802
95
䊏 + 284 = 438
154
Test Practice
Circle the correct answer.
18.
Ura bicycled 2,489 miles in 2003. In
2004, she bicycled 2,892 miles. How
many more miles did she bicycle in
2004 than in 2003?
19.
A concert hall seats 2,342 people. If
1,973 people attended last night’s
concert, how many seats were
unoccupied?
A
400
C
304
A
300 seats
C
369 seats
B
403
D
300
B
469 seats
D
339 seats
Writing Math Gregory and Millie each raised $370 for their
class trip. If $3,560 was raised by the entire class, how much was raised
by the rest of the students? Explain how you found your answer.
$2,820; I subtracted $370 from $3,560 twice.
Practice
4–19
Use with text pages 78–80.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L3_PRAC.indd 4–19
11/30/07 1:50:50 AM
Name
Chapter 4, Lesson 3
Enrichment
Date
The Cities of California
CA Standards
NS 3.1,
NS 3.0
California has the largest state population. It has more than
200 incorporated cities. 7 of California’s better known small cities
are shown in the chart below. Use the information from the chart to
answer the questions.
Smaller Cities of California
City
Carlsbad
Chico
Newport Beach
Palm Springs
San Rafael
Santa Barbara
Santa Monica
County
San Diego
Butte
Orange
Riverside
Marin
Santa Barbara
Los Angeles
Population
90,271
59,954
70,032
42,807
56,063
92,325
84,084
Source: Wikipedia
1.
How many more people live in Santa
Barbara than Santa Monica?
2.
8,241 more people
3.
Carlsbad
What two cities have a population
difference of only 3,891?
4.
Chico and San Rafael
5.
What city has 20,239 more people
than Newport Beach?
Which city needs to gain
15,916 residents before it reaches
a population of 100,000?
Santa Monica
If 625 people left Palm Springs, what would the population be?
42,182
Writing Math Rachael read problem 4 above and didn’t know
what operation to perform to get the answer. What should she do?
She should subtract 15,916 from 100,000 and
see which city has the population that matches
the difference.
Enrichment
4–20
Use with text pages 78–80.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L3_ENR.indd 4–20
11/30/07 1:51:20 AM
Chapter 4, Lesson 3
Name
Date
Leveled Problem Solving
Subtract Whole Numbers
CA Standards
NS 3.1,
NS 3.0
Solve each problem.
1.
The botanical gardens have
1,246 plants native to the area
and 767 exotic plants from other
places. How many more plants are
native than exotic?
2.
479 plants
3.
315 plants
A total of 2,854 people visited the
botanical gardens last month.
1,986 have visited so far this month.
How many more visitors must come
before the month’s end to match
last month’s attendance?
4.
868 more people
5.
Of the 2,854 visitors last month,
892 were children and 761 were men.
How many women visited the
gardens? Level II
1,201 women
Last year the botanical gardens
had a total of 15,841 visitors.
8,602 of these visitors came during the
summer months. Another 3,017 came
in the fall. The gardens are closed in
the winter. How many people came in
the spring?
6.
4,222 visitors
Leveled Problem Solving
Of the 767 exotic plants, 452 of
them must live in greenhouses under
controlled conditions. How many are
grown out-doors? Level I
There are 1,262 red roses and
948 red tulips in the botanical
gardens. There are 659 yellow
daffodils and 1,107 white lilies.
How many more red flowers are
there than yellow and white flowers
in the gardens? Level III
444 more red flowers
4–21
Use with text pages 78–80.
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73744_C4L3_PS.indd 4–21
12/15/07 4:22:04 AM
Name
Chapter 4, Lesson 3
Homework
Date
Subtract Whole Numbers
CA Standards
NS 3.1,
NS 3.0
There are 3,745 students at Dan’s school. 849 students bring their own lunch from
home. How many students buy lunch in the school cafeteria?
3 15
3, 7 4 5
Step 1 Subtract the ones. - 8 4 9
6
6 13 15
Step 2 Subtract the tens. 3, 7 4 5
-849
9 6
Step 3 Subtract the hundreds and thousands.
2 16 13 15
3, 7 4 5
-849
2, 8 9 6
Solution: 2,896 students buy their lunch at the school cafeteria.
Subtract. Use addition or estimation to check.
1.
6,282 - 4,529 =
2.
8,510 - 2,238 =
1,753
3.
6,272
3,287 - 2,486 =
801
4.
9,125 - 5,306 =
3,819
Find each missing number.
495 - 371 = 124
581 = 817
7. 1,398 5.
4QJSBM3FWJFX
6.
2,126 + 5,495 = 7,621
(Chapter 2, Lesson 3) KEY NS 1.3
Round each number to the nearest hundred thousand.
11,300,000
11,256,893
9.
The state college has 6,892 male students and 8,439 female students. Round each
number to the nearest thousand and then add to get an estimate of the total number
of students.
8.
3,832,999
3,800,000
7.
15,000 students
Homework
4–22
Use with text pages 78–80.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_HMWK_C4L3.indd 4–22
11/30/07 1:52:25 AM
Name
Chapter 4, Lesson 4
Daily Routines
Date
Subtract Across Zeros
Problem of the Day
KEY NS 3.1
Mrs. Chen wants to buy a new computer. Computer Barn sells one for
$1,134. PC Hut sells a similar computer for $987. How much would
Mrs. Chen save by buying from PC Hut?
Number Sense
AF 1.0
Write three number sentences on your whiteboard. Make the first
sentence show the Associative Property of Addition, make the second
show the Commutative Property of Addition, and make the third show
the Zero Property of Addition.
Word of the Day
MR 2.3
difference
Give some real examples of when you might need to find the
difference between two numbers.
Facts Practice
NS 2.1
Round each addend to the nearest hundred and estimate the sum.
1.
654 + 241
2.
894 + 342
3.
4,391 + 2,007
4.
995 + 2,332
5.
2,642 + 5,014
6.
527 + 7,632
Daily Routines
4–23
Use with Chapter 4, Lesson 4
Copyright © Houghton Mifflin Company. All rights reserved.
C04_G4_CAMath_Daily Rout_T.indd 4–23
11/30/07 1:39:43 AM
Name
Chapter 4, Lesson 4
Reteach
Date
Subtract Across Zeros
CA Standards
NS 3.1,
NS 3.0
Subtract 500 - 216.
Step 1
Step 2
Step 3
Regroup the hundreds.
Regroup the tens.
Subtract the ones, tens,
and hundreds.
Hundreds Tens Ones
–
4
10
5
0
0
2
1
6
5 hundreds = 4 hundreds,
10 tens
Hundreds Tens Ones
Hundreds Tens Ones
–
4
9
10
10
4
9
10
10
5
0
0
5
0
0
2
1
6
2
1
6
2
8
4
–
4
10 ones - 6 ones = 4 ones
9 tens - 1 ten = 8 tens
10 tens = 9 tens,
10 ones
4 hundreds - 2 hundreds =
2 hundreds
Subtract. Estimate or add to check.
1.
605
- 337
———
2.
268
6.
4,607
- 1,248
————
3,359
702
- 397
———
3.
7,007
- 5,912
————
1,095
4.
3,209
- 2,269
————
9.
257
305
7.
400
- 143
———
8.
940
506
- 188
———
318
9,100
- 7,662
————
1,438
5.
2,209
- 785
————
1,424
10.
8,500
- 6,294
————
2,206
Writing Math Rich had a subtraction problem where he had
to subtract 2,345 from 6,000. Where did he have to regroup? Explain
what he did first.
He had to regroup the thousands, hundreds, and
tens. He took 10 hundreds from 6,000, leaving
5,000 and a 10 in the hundreds place.
Reteach
4–24
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L4_RET.indd 4–24
11/30/07 1:52:55 AM
Name
Chapter 4, Lesson 4
Practice
Date
Subtract Across Zeros
CA Standards
NS 3.1,
NS 3.0
Subtract. Estimate or add to check.
1.
408
-254
______
2.
4,005 - 846 =
7.
3,159
11.
8,012 - 1,609 =
6, 0 0 8
5489
________
902
-888
______
8.
4,655
12.
4.
14
5, 6 0 2
-947
______
6,403
15.
3.
295
154
6.
680
-385
______
9.
13.
17.
7,209 - 4,222 =
14.
$40.09 - $22.44 =
1,987
519
$35.87
2,987
2,699
7,080 - 5,093 =
$90.00
-54.13
________
10.
$30.09
-23.52
________
5,500 - 2,801=
$44.98
16.
1,289
$6.57
6,057
2, 0 5 1
-762
______
5.
152
7, 0 2 0
-963
______
$90.05
45.07
________
300
-148
______
$80.00 - 67.33 =
18.
$12.67
$17.65
Test Practice
Circle the correct answer.
19.
Leah plans to write 200 pages for her
book by the end of the year. So far, she
has written 124 pages. How many more
pages must she write to meet her goal?
20.
A folksinger made 1,000 copies
of his current CD. So far, he has sold
583 copies. How many copies does
he have left?
A
200
C
124
A
417
C
317
B
176
D
76
B
400
D
471
Writing Math Oren plans to drive 3,200 miles from the East
Coast to the West Coast. So far, he has driven 1,789 miles. How many
miles are left to drive? Explain how you found your answer.
1,411 miles; I subtracted 1,789 miles from
3,200 miles.
Practice
4–25
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L4_PRAC.indd 4–25
11/30/07 1:53:25 AM
Name
Chapter 4, Lesson 4
Enrichment
Date
Radio Stations
CA Standards
NS 3.1,
NS 3.0
There are nearly 11,000 commercial radio stations in the United
States. They play many different kinds of music and appeal to
different groups of listeners. The table below lists some of the kinds
of radio stations and the number of each. Use the information in the
table to solve each problem.
1.
How many more stations play
country music than top 40 music?
Commercial Radio Stations in the U.S.
Kind of Format
1,517
2.
What format is played on 298 more
stations than those stations playing
adult classic songs?
Spanish
Number of Stations
Country
2,019
News/Talk
1,569
Spanish
703
Top 40 Music
502
Adult Classic Songs
Rhythm and Blues
405
150
Source: 2006 New York Times Almanac, p. 402 (statistics for
year 2005)
3.
How many fewer stations play rhythm
and blues music than news/talk?
4.
1,419
5.
What two kinds of stations, if added
together, would outnumber country
music stations by 52?
News/Talk and Top 40
If there are 10,731 commercial radio
stations in the United States, how many
of them are not represented in this
table?
5,383
Writing Math Chris couldn’t figure out how to get the answer
to problem 4. What steps would help her get the correct answer?
She should try adding 2 of the numbers and then
subtracting the total from the number of country
stations. The combination that has a difference
of 52 is the correct answer.
Enrichment
4–26
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L4_ENR.indd 4–26
11/30/07 1:54:00 AM
Chapter 4, Lesson 4
Name
Leveled Problem Solving
Date
Subtract Across Zeros
CA Standards
NS 3.1,
NS 3.0
Solve each problem.
1.
Harry has been collecting coins since
he was 6. He has 700 coins in his
collection. His father’s coin collection
has 1,040 coins. How many more coins
does the father have than his son?
2.
340 more coins
3.
$180
Harry has 17 Indian head pennies
and 53 Lincoln wheat-ear pennies in
his collection. He also has 15 buffalo
nickels and 47 older Jefferson nickels.
How many more pennies does he have
than nickels?
4.
8 more pennies
5.
Harry’s dad gave him a silver dollar
worth $20 and a Franklin half dollar
worth $5.50 for his birthday. A friend
offered Harry $40 for both coins. How
much above the stated value would
Harry get if he sold the coins?
Harry has 17 Indian head pennies and
53 Lincoln wheat-ear pennies in his
collection. He also has 15 buffalo
nickels and 47 older Jefferson nickels.
Of the 700 coins in Harry’s collection,
how many are not pennies and
nickels?
Level II
568 coins
6.
$14.50
Leveled Problem Solving
Harry evaluated his coin collection to be
worth $400. But a coin dealer offered to
give him only $220 for it. Harry decided to
keep his coins. What was the difference
between his evaluation of his collection
and the dealer’s offer?
Level I
Harry visited a coin show. On display
were 3,007 American coins and
1,526 foreign coins. How many more
American coins than foreign coins
were at the show?
Level III
1,481 more
American coins
4–27
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L4_PS.indd 4–27
11/30/07 1:55:32 AM
Name
Chapter 4, Lesson 4
Homework
Date
Subtract Across Zeros
CA Standards
NS 3.1,
NS 3.0
Subtract. 7,002 - 594
6 10
7, 0 0 2
-594
Step 1 Regroup one thousand as 10 hundreds.
9
6 10 10
7, 0 0 2
-594
Step 2 Regroup one of hundreds as 10 tens.
9
9
6 10 10 12
Step 3 Regroup one ten as 10 ones and subtract. 7, 0 0 2
-594
6, 4 0 8
Solution: 7,002 - 594 = 6,408
Subtract. Estimate or add to check.
1.
4,000 - 335 =
2.
7,064 - 805 =
3,665
5.
7,004 - 2,840 =
6.
$3.15
9.
4.
2,016
6,102 - 3,354 =
$100.00 - $81.54 =
5,007 - 421 =
4,586
7.
2,748
$60.00 - $56.85 =
4QJSBM3FWJFX
3,080 - 1,064 =
6,259
4,164
8.
3.
5,320 - 2,299 =
3,021
10.
$18.46
$50.00 - $28.74 =
$21.26
(Chapter 3, Lesson 2) KEY NS 3.1
Find the number that makes each number sentence true. Tell which
property of addition you used.
11.
2,589 + 3,579 = 3,579 +
12.
0 + 10,986 =
13.
2,589; Commutative Property
10,986; Zero Property
Joyce rewrote (462 + 947) + 211 as 462 + (947 + 211). What property of addition
was she using?
Associative Property
Homework
4–28
Use with text pages 82–83.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_HMWK_C4L4.indd 4–28
1/27/08 10:27:47 AM
Name
Chapter 4, Lesson 5
Daily Routines
Date
Problem Solving: Too Much or
Too Little Information
Problem of the Day
KEY NS 3.1
Jamal’s youngest sister was born in 2004. Jamal was born in 1986.
How many years older than his youngest sister is Jamal?
Number Sense
MR 2.3
Make an organized list to find how many numbers between 1,500 and
1,700 have a 0 in the ones place and round to 1,600.
Number of the Day
KEY NS 3.1
245
Write two subtraction problems with a difference of 245. One problem
should involve regrouping tens as ones, and one should involve
regrouping hundreds as tens.
Facts Practice
KEY NS 3.1
Find each difference.
1.
487 - 315
2.
958 - 587
3.
2,752 - 1,429
4.
4,401 - 2,803
5.
38,491 - 22,593
6.
59,825 - 36,758
Daily Routines
4–29
Use with Chapter 4, Lesson 5
Copyright © Houghton Mifflin Company. All rights reserved.
C04_G4_CAMath_Daily Rout_T.indd 4–29
11/30/07 1:40:01 AM
Name
Chapter 4, Lesson 5
Reteach
Date
Problem Solving: Too Much or Too Little
Information
CA Standards
MR 1.1,
NS 3.1
Read It Look for information.
The Golden Gate Bridge has 2 towers that rise 746 feet above sea level. The length of
the bridge is 1.7 miles. The roadway is 220 feet above sea level. What is the distance
from the roadway of the bridge to the top of the tower?
Picture It Here is a table of the information in the problem.
Measurement
Needed Fact?
Height of Towers above Sea Level
746 feet
yes
Length of Bridge
1.7 miles
no
Height of Roadway above Sea
Level
220 feet
yes
Solve It Use the table to solve the problem.
Subtract to find the distance from the roadway to the top of the tower.
746 ft – 220 ft =
526
ft
Solve. If not enough information is given, tell what information is
needed to solve the problem.
1.
The suspension cables of the Golden Gate Bridge are each 7,650 feet long. How
much cable is used altogether in the bridge?
not enough information; the number of cables
2.
Chicago’s Sears Tower is 1,450 feet tall with 110 stories. The Petronas Twin Towers
are 1,480 feet tall with 88 stories. How much taller are the Petronas Twin Towers
than Chicago’s Sears Tower?
30 ft
Writing Math When a problem gives too much information,
how do you find the information you need?
Answers will vary.
Reteach
4–30
Use with text pages 84–85.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L5_RET.indd 4–30
11/30/07 1:56:30 AM
Name
Chapter 4, Lesson 5
Practice
Date
Problem Solving:
Too Much or Too Little Information
CA Standards
MR 1.1,
NS 3.1
Mrs. Winter is planning a party for her class.
Use the information on the table to
answer problems 1–3. If not enough
information is given, tell what
information is needed to solve
the problem.
1.
Item
Cranberry Juice
Pretzels
Apple Slices
Almonds
String Cheese Sticks
Number of Servings
8 per gallon
10 per bag
2 per apple
4 per bag
24 per bag
Mrs. Winter has 24 students. If she sets aside $10 for juice, will the students have
enough to drink?
not enough information; need to know how
much each gallon of juice costs
2.
Mrs. Winter bought 3 bags of pretzels, 1 bag of string cheese sticks, and 6 bags of
almonds. How many servings of pretzels will she have left over?
6 servings
Test Practice
Circle the letter of the correct answer.
3.
Henry drank 2 bottles of water on
Saturday, 4 bottles on Monday, and
1 bottle on Tuesday. How many more
bottles of water did he drink than last
week?
4.
Nadia finds 3 coins under her bed, 3
times that many under the
1
as many in her coat
couch, and _
3
pocket. How many coins did
she find in all?
A
not enough information
A
not enough information
B
too much information
B
too much information
C
3 more
C
7 coins
D
4 more
D
13 coins
Writing Math Alexis has been given a problem with too
much information. What should she do?
She should sort the important information
from the unimportant information.
Practice
4–31
Use with text pages 84–85.
Copyright © Houghton Mifflin Company. All rights reserved.
73744_C4L5_PRAC.indd 4–31
11/30/07 1:56:59 AM
Name
Chapter 4, Lesson 5
Enrichment
Date
Problem Solving: Too Much
or Too Little Information
CA Standards
MR 1.1,
NS 3.1
Use the information in the table. Write 4 problems: 2 with too much
information and 2 with too little information. Exchange problems
with a partner and solve.
Mountain Peak
Mt. McKinley
Mt. Whitney
Mr. Elbert
Mt. Rainier
Mt. Everest
Mt. Kilimanjaro
Location
Alaska
California
Colorado
Washington
Nepal/Tibet
Tanzania
Height in Feet
20,320
14,494
14,433
14,410
29,035
19,340
Answers will
vary. Check
that 2 problems
have too little
information and
2 have too much
information.
1.
2.
3.
4.
Writing Math Marylee wrote this problem: How much taller
is Nepal’s Mt. Everest than California’s Mt. Shasta? Does Marylee’s
problem have too much information or too little information? Explain.
Too little; we don’t know how tall Mt. Shasta is.
Enrichment
4–32
Use with text pages 84–85.
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Chapter 4, Lesson 5
Name
Leveled Problem Solving
Date
Problem Solving: Too Much or Too
Little Information
CA Standards
MR 1.1,
NS 3.1
Use the information in the paragraph below to solve problems 1–4.
Problem Beverly sold tickets to the school play. She sold 28 tickets
and collected $140. Jeff sold 15 tickets and collected $75. The tickets
cost $5. How much more money did Beverly collect than Jeff?
1.
What information do you need to solve
the problem?
2.
Level I
Subtract the amount of
money Jeff collected
from the amount of
money Beverly collected.
how much money Beverly
collected and how much
money Jeff collected
3.
Do you have enough information
to solve the problem? If so, solve
and explain your steps. If not, what
information do you need?
4.
Eddie buys a box of 48 dog treats, 1
leash, and 2 bottles of dog shampoo
for his puppy. Does Eddie have enough
shampoo to give his puppy a bath
every week for a month? Do you have
too much or too little information to
solve this problem?
6.
Kylie put 4 dimes, 2 nickels, and
2 pennies in a bag. She and Samantha
took turns pulling a coin from the
bag until they each had 4 coins. How
much money does each student have?
Do you have too much or too little
information to solve this problem?
Level III
too little information
too little information
Leveled Problem Solving
How can you tell if you have too much
or too little information?
Level II
Look at the question and
decide what information
you need. Then look at
the information given to
decide if you have all the
information you need.
Yes; subtract
$140 - $75 = $65.
Beverly collected $65
more than Jeff.
5.
How will you solve the problem?
4–33
Use with text pages 84–85.
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Name
Chapter 4, Lesson 5
Homework
Date
Problem Solving:
Too Much or Too Little Information
CA Standards
MR 1.1,
NS 3.1
Rachel took 60 pictures. It cost her $18 to develop the pictures. Anna took 12 fewer
pictures than Rachael. How many pictures did Anna take?
What is the question?
What do I need to know?
What do I know?
• How many pictures did
Anna take?
• How many pictures did
Rachael take?
• Rachael took 60 pictures.
• Anna took 12 fewer
pictures.
Solve the problem.
60
-12
48
← number of pictures Rachael took
← 12 fewer pictures
← number of pictures that Anna took
Solution: Anna took 48 pictures.
Solve. If not enough information is given, tell what information is
needed to solve the problem.
1.
Billy recorded 6 songs for his new CD.
Each song is about 4 minutes long.
How much will Billy make if he sells
50 CDs?
2.
not enough information;
need to know how
much each CD costs
4QJSBM3FWJFX
Crystal is training to run a marathon.
A marathon is about 26 miles. During
the first three weeks of training, she
will run 52 miles a week. During the
next three weeks of training, she will
run 60 miles a week. How many more
miles will she run in week 5 than in
week 2?
8 miles
(Chapter 3, Lesson 3) KEY NS 1.3, NS 2.1
Round each number to the nearest hundred. Then estimate the sum.
3.
427 + 872
400
5.
+
4.
900
=
5,789 + 7,246
5,800 + 7,200
1,300
= 13,000
Jason counted his steps as he walked across the Golden Gate Bridge. He counted to
1,500 and stopped to rest. When he started to walk again, he started counting with
1 and counted 1,275 more steps. To the nearest hundred, about how many steps did
Jason take as he walked across the bridge?
2,800 steps
Homework
4–34
Use with text pages 84–85.
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Name
Chapter 4 Test
Date
Chapter 4 Test
4NS3.1
Circle the letter of the correct answer.
1
What is $500 - $400?
4
4NS3.1
What is $2,000 - $1,200?
A
$200
A
$1
B
$800
B
$10
C
$1,000
C
$100
D
$1,200
D
$900
4NS2.1
4NS3.1
2
5
What is $500 - $240?
A
$60
C
$360
B
$260
D
$740
What is the difference for
$2.47 - $1.23?
A
$1.24
B
$1.30
C
$3.00
D
$3.70
4NS3.1
3
Dwayne had $86. Then, he bought
this baseball glove.
4NS2.1
6
$30
How much money does Dwayne
have left?
A
$36
B
$56
C
$106
D
$126
Assessment Resources 4
Round each number to the nearest
ten cents. What is the difference of
$37.68 and $27.47?
A
$9.21
B
$9.45
C
$10.20
D
$10.45
4–35
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11/30/07 1:59:22 AM
Name
Chapter 4 Test
Date
4NS2.1
7
Badri wants a new bicycle that
costs $189.99 and a bicycle helmet
that costs $19.20. What is the
difference between the price of the
bicycle and the price of the helmet?
9
What is the exact difference
between the following numbers?
3,399
- 1,245
A
$169.79
A
1,300
B
$170.79
B
2,100
C
$171
C
2,154
D
$209
D
2,200
4NS2.1
8
4NS3.1
Dora’s father is buying her roller
blades that cost $38.75 and knee
pads that cost $17.98.
4NS3.1
10
What is 841 - 232?
A
600
B
609
C
610
D
640
4NS2.1
11
About how much change will her
father receive if he pays with a
$100 bill?
A
$43
B
$57
C
$60
D
$80
Assessment Resources 4
What is $114.81 - $78.77?
A
$35.00
B
$36.04
C
$38.00
D
$40.09
4–36
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Name
Chapter 4 Test
Date
4NS3.1
12
What is $101,755 - $94,345?
4NS2.1
A
$741
B
$7,410
Rosa had $10.08. She spent $4.04
on a pair of earrings and $1.24 on a
soft pretzel. How much money does
Rosa have left?
C
$7,610
A
$2.80
D
$74,100
B
$4.80
C
$5.20
D
$6.04
15
4NS3.1
13
What is the difference between the
numbers below?
2,300
- 158
A
2,102
B
2,142
C
2,152
D
2,458
16
4NS2.1
14
4NS3.1
What is $1,410.10 - $275.10?
What is 400 - 227?
A
73
B
173
C
200
D
227
4MR1.1
17
Emilio has 245 coins. He can
buy 50 more coins for $35. What
information is not needed to figure
how many coins he will have after
buying the 50 coins?
A
$100.35
B
$113.50
C
$135.00
A
how many coins he has now
D
$1,135.00
B
how many coins he will buy
C
the cost of the coins he will buy
D
whether he is adding or subtracting
from his collection
Assessment Resources 4
4–37
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11/30/07 1:59:58 AM
Name
Chapter 4 Test
Date
4MR1.1
18
Henry has been in 18 ballet recitals.
What other information is needed to
calculate the total number of recitals
given by the ballet company?
A
how many students in his class
B
how long each recital lasts
C
how many years he has done ballet
D
how many recitals he missed
4MR1.1
20
Mieko’s school has 24 classes
and 360 students. What more does
Mieko need to know to calculate
the average number of students
per class?
A
the number of teachers
B
the number of third graders
C
the number of principals
D
no other information
4MR1.1
19
Jason has 900 pieces of model
railroad track. He uses 25 pieces for
each loop of track. The pieces are
5 inches long. What is not needed
to find out how many loops he will
make?
A
the length of each piece of track
B
the number of pieces of track
C
the number of pieces per loop
D
how many pieces are in each loop
Assessment Resources 4
4–38
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11/30/07 2:00:14 AM
Name
Date
Chapter 4 Test
Individual Student Record Form
Chapter 4 Test
Use the chapter test to identify your students’ mastery
of the skills in the chapter. The item analysis below will
help you recognize strengths and weaknesses. Record
Correct
Answer
Student
Response
the student’s response in the column to the right of the
correct answer
California State Standards
1. C
4NS3.1
Demonstrate an understanding of, and the ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
2. B
4NS3.1
3. B
4NS3.1
4. B
4NS3.1
5. A
4NS2.1
6. C
4NS2.1
7. B
4NS2.1
8. A
4NS2.1
9. C
4NS3.1
10. B
4NS3.1
11. B
4NS2.1
Estimate and compute the sum or difference of whole numbers and positive
decimals to two places.
12. B
4NS3.1
13. B
4NS3.1
Demonstrate an understanding of, and the ability to use, standard algorithms for the
addition and subtraction of multidigit numbers.
14. D
4NS2.1
15. B
4NS2.1
16. B
4NS3.1
Demonstrate an understanding of, and the ability to use, standard algorithms for the
addition and subtraction of multidigit numbers.
17. C
4MR1.1
18. D
4MR1.1
Analyze problems by identifying relationships, distinguishing relevant from irrelevant
information, sequencing and prioritizing information, and observing patterns.
19. A
4MR1.1
20. D
4MR1.1
Estimate and compute the sum or difference of whole numbers and positive
decimals to two places.
Demonstrate an understanding of, and the ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
Estimate and compute the sum or difference of whole numbers and positive
decimals to two places.
out of 20
4–39
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Teacher Name
Date
Chapter Test 4
Class Record Form
Chapter 4 Test
Use the chapter test to identify your students’ mastery
of the California Mathematics Contents Standards in the
chapter.
Item
The record below will allow you to group students for
differentiated instruction.
California Mathematics Contents Standards
1.
4NS3.1
2.
4NS3.1
3.
4NS3.1
4.
4NS3.1
5.
4NS2.1
6.
4NS2.1
7.
4NS2.1
8.
4NS2.1
9.
4NS3.1
10.
4NS3.1
11.
4NS2.1
Estimate and compute the sum or difference of
whole numbers and positive decimals to two
places.
12.
4NS3.1
13.
4NS3.1
Demonstrate an understanding of, and the
ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
14.
4NS3.1
15.
4NS3.1
16.
4NS3.1
Demonstrate an understanding of, and the
ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
17.
4MR1.1
18.
4MR1.1
19.
4MR1.1
Analyze problems by identifying relationships,
distinguishing relevant from irrelevant
information, sequencing and prioritizing
information, and observing patterns.
20.
4MR1.1
Groups for differentiated instruction
Demonstrate an understanding of, and the
ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
Estimate and compute the sum or difference of
whole numbers and positive decimals to two
places.
Demonstrate an understanding of, and the
ability to use, standard algorithms for the
addition and subtraction of multi digit numbers.
Estimate and compute the sum or difference of
whole numbers and positive decimals to two
places.
4–40
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