me
Get 10 squares in one color and 10 in another color, two paper clips,
and two number cubes. Take turns.
Choose the 3rd oval
Toss two cubes to find your ovals. EXAMPLE:
on the left and the 5th oval on the right, or choose the 5th oval on the left
and the 3rd oval on the right. Mark your ovals with paper clips.
Explain how to use patterns to multiply the numbers you chose.
Say an equation that includes the product. Find and
cover the product. Lose your turn if the answer is taken.
The first player or team to get any three connected rectangles in a row
Play again! Talk about how you find the product.
Center Activity 5-1
*
Topic 5
1
Get 10 squares in one color and 10 in another color, one paper clip,
and one number cube. Take turns.
Toss the cube to find your oval EXAMPLE
Choose the 3rd oval
on the left, or choose the 3rd oval on the right. Mark your oval with
a paper clip.
Find two factors that you can multiply to get the number you chose,
Use patterns to explain why your answer is correct. Cover the factors.
Lose your turn if the answer is taken.
The first player or team to get any three connected rectangles in a row
or column wins.
1
Play again! Talk about your strategies as you play.
2
‘lopic 5
Center Activity 51
‘
k
•
Get 10 squares in one color and 10 in another color.
Get two number cubes. Take turns with another player or team.
Talk about math as you play!
Toss two number cubes. Add the dots. Find your toss below.
Follow the directions. Explain your thinking. Cover the answer.
If the answer is taken, lose your turn. Have fun!
7
8’1x6
2
657
8
9x36
3
65x2
9
86x7
Lf
1K91
10
‘fx58
5
827
11
385
6
19
12
3x.99
270÷5
90÷36
560
200 ÷ 32
150÷Lf0
80÷2
630 ÷‘f9
160÷56
270÷27
160÷56
270÷5
120÷10
560÷2
300÷2
90 ÷ 36
80÷2
You win if you are the first to get four connected rectangles, like:
ay again’
Center Activity 5-2
*
Topic 5
3
Get 10 squares in one color and 10 in another color.
Get two number cubes. Take turns with another player or team.
Talk about math as you play!
Toss two number cubes. Add the dots. Find your toss below.
Follow the directions. Explain your thinking. Cover the answer.
If the answer is taken, lose your turn. Have fun!
1
20-16
2
20-30
8
20-12
3
20-3
9
2W-18
‘1
20-6
10
20-15
5
20-2
11
20-8
6
20-9
12
20-
Lf)(57
59>çLf
3x11
56x’f
3c18
6K36
193
631
37c6
3x15
Lfx56
51x’t
77>ç3
Lf>ç5
36x6
6x35
0
You win if you are the first to get four connected rectangles, like:
Pyagain’
4
Topic 5
Center Activity 5-2
**
in a bag.
Put
A, 8, C,
F, F.
Choose
D, or Ask someone to read the directions.
Pick a tile. Pick two tiles if your group has only two students.
Evaluate the expression next to your number,
Discuss: Which three expressions have the same estimate? Why?
Decide: Which expression has a different estimate? Why?
A
D
Round the greater
factor to the nearest
ten. Explain how to
estimate each product
B
Round the greater
factor to the nearest
hundred. Explain how to
estimate each proddct
C
Round the greater
factor to the nearest
ten. Explain how to
estimate each product
5 x 49
3 x 823
9x43
9x23
6x371
8x74
6x26
5x463
4x86
2x88
8x332
6x57
Round the greater
factor to the nearest
hundred Explain how to
estimate each product
Round the greater
factor to the nearest
hundred Explain how to
estimate each product
Round the greater
factor to the nearest
hundred. Explain how to
estimate each product
E
F
8x835
4x541
5x765
9x760
4x475
5x810
8x875
4x680
6x525
9x828
8x497
Make up a “Think Together” question for this lesson,
Challenge your classmates to think together to answer your question.
Center Activity 5-3
*
Topic 5
5
r
Put
in a bag.
Choose A, 8, or C.
Pick a tile. Pick two tiles if your group has only two students.
Ask a question. Follow the directions next to your number.
Discuss: How did the group members estimate to answer your question?
Decide: Does every group member have a reasonable estimate?
A
Number of
Minutes Spent
Playing Basketball
Each Day
José
55
Hector
175
Ray
245
Carlos
45
Sam
115
Tom
516
Pedro
25
Celia
130
Giselle
385
Daniel
75
Rhonda
Tone
572
95
Do These Steps in Order
Ask a question. To answer your question, group
members should estimate a product.
Ask a second question. To answer your question,
group members should estimate a different product.
Ask a third question. To answer your question, group
members should estimate a different product.
Ask a fourth question. To answer your question,
group members should estimate a different product.
0
(U
0
Ui
0
7
About how many stairs do you climb in one day? One week? One month
6
Topic 5
Center Activity 5-3
* *
(U
a,
Ui
i
I
0 qu res n one color and 10 in another color,
vvo n.imb cubes. Take turns with another player or team,
bc’,ut math as you play!
Toss two number cubes. Add the dots. Find your toss below.
Follow the directions. Explain your thinking. Cover the answer.
If the answer is taken, lose your turn. Have fun!
Sa the nomber of cjroops and the n(Jnlber in
h groop. ExpI in b w to find a r a noble
th niniber in all
estim t
?Egg in II
T033
.,
1
1
12
12
12
I
6
ti
-
I
I
23
1
23
23
I
? Cars in all
I
I 7 I
I
77
23
I
19
I
19
I
23
7 I 7
I
I
23
I
I
77
I
ii
I
77
I
? Pennies in all
IS2j52l52j2l52l52J
I
I
?Cansinall
1 1
—
23
I77
10
? Flowers in all
23
19
?Sheetsof paper in all
1681681681681681
I
I
? Marbles in all
‘
?Capsinall
C
19
12
12
Pencils in all
158H81 8l8l8l1
I
I
8
‘
9
?flshinall
‘7
Ii.
88188
188188
I
I
881
? Bars of soap in all
12
I
33
1
33
I
33
I
33
I
33
I
33
I
33
350
90
80
180
800
300
360
800
350
‘tSO
180
80
‘too
2’tO
I
33
I
350
You win if you are the first to get four connected rectangles, like
Play again!
Center Activity 54
*
Topic
5
7
Get 10 squares in one color and 10 in another color,
Get two number cubes. Take turns with another player or team.
Talk about math as you play!
Toss two number cubes. Add the dots. Find your toss below,
Follow the directions. Explain your thinking. Cover the answer.
If the answer is taken, lose your turn. Have fun!
Toss
Fir
si[jolicn or wI’h
‘tttwt. Prrjw
ir-tjr
r
rcI
F
7
90
2
80
8
160
3
90
9
150
If
1(00
10
300
5
180
11
120
6
200
12
60
19 pencils in
each of ‘1 boxes
‘17 pennies in
each of 3 jars
22 peaches in
each of 8 baskets
28 flowers in
each of 3 vases
21 fish in
each of 10 tanks
58 podnds in
each of S barrels
9 candles in
each of 9 boxes
12 glasses in
each of 9 boxes
‘19 pages in each
of lf envelopes
‘17 balls in
each of 8 bags
93 marbles in
each of 2 jars
9 sandwiches in
each of 18 boxes
28 apples in
each of 3 baskets
33 seashells in
each of 2 bags
38 windows in
3’1 tables in
each of’1 stories I each of S rooms
I!
You win if you are the first to get four connected rectangles, like:
Play again!
8
Topic 5
Center Activity 54
**
I
Get 10 squares in one color and 10 in another color.
Get two number cubes Take turns with another player or team
about math as you play!
Toss two number cubes. Add the dots. Find your toss below.
Follow the directions. Explain your thinking. Cover the answer.
If the answer is taken, lose your turn. Have fun!
112
1
xS
8
)cS
211
25
9
311
10
1(3
11
x
32
If
12
20
÷100
120
10
÷80
90
8
÷ 100
108
12
÷80
2
8
8
÷120
128
÷60
68
20
92
÷80
100
10
÷ 200
210
10
÷200
210
20
÷100
120
12
÷60
72
6
÷80
86
10
÷80
90
6
÷120
126
20
÷80
100
8
÷100
108
0
You win
if you
are the first to get four connected rectangles, like
ILY
BEZE
Center Activity 5-5
*
yagan!
Topic 5
9
Get ‘10 squares in one color and 10 in another color.
Get two number cubes Take turns with another player or team
about math as you play!
Toss two number cubes. Add the dots. Find your toss below.
Follow the directions. Explain your thinking. Cover the answer.
If the answer is taken, lose your turn. Have fun!
Say the two partial prodocts and the prodoct
Find the factors that have that prodict
O3S
16
÷80
1
-
35
2
16
÷320
336
8
85
35
3
32
9
105
11
÷160
192
10
÷150
160
10
÷60
12
15
÷ 60
15
tj:
÷100
115
10
tis
5
135
—o
LI 5
6
+
50
95
15
32
KS
2
)c8
19
KS
15
2
x8
19
xS
2LI
c8
23
xS
LI8
x2
15
x9
35
c2
17
2
8
K
.
25
x3
x2
You win if you are the first to get four connected rectangles, like:
-Win
10
Topic
15
x7
Arm.
Play again!
5
Center Activity 5-5
* *
.J
T
Y°tjr thinking while ye”
Get 20 squares in one color and 20 in another color. Get two number
cubes for players to share. Get paper and a pencil. Take turns.
Toss one cube. That is the number of tens in a two-digit number. Toss
another cube. That is the number of ones in the same two-digit number.
Explain how to multiply that two-digit number by Z Cover the product.
If the answer is taken, lose your turn.
.
.
a
3 tens 5 ones
Find 7 35 Explain how to lind each partial proddct, and how to add
the partial prodicts.
.—
The first player or team to cover a row, column, or diagonal
in one of the four sections of the game board wins.
L
281
11
351
301
98
252
‘f’t1
182
161
315
25
385
11
168
238
308
112
7i
322
.
105
22
‘18
8’f
36
29
15
Play again!
Center ActivIty 5-6
(
Topic 5
11
4
S
YOur
t inking whiO
O’-
Get 20 squares in one color and 20 in another color. Get two number
cubes for players to share. Get paper and a pencil. Take turns.
Toss one cube. That is the number of tens in a two-digit number. Toss
another cube. That is the number of ones in the same two-digit number.
If that number is less than 30, multiply by 7. If that number is between
30 and 50, multiply by 8. If that number is greater than 50, multiply by 9.
Cover the product. If the answer is taken, lose your turn.
3 tens 5 ones 35 is between 30 and 50
Find 8 x 35. Explain each step.
Moltp(y by 8
The first player or team to cover a row, column, or diagonal
in one of the four sections of the game board wins.
.
336
Lf95
161
5Lf9
ft
59
175
91
576
28
98
288
558
256
328
360
59Lf
15
86
368
352
77
182
26
585
105
I
F
C
w
Play again!
12
Topic 5
Center Activity 56
**
-
F.
ma bag.
Put
Get paper and a pencil.
f.
Choose a, b, c, d, e, or
Pick a tile. Pick two tiles if your group has only two students.
Do the jobs listed below in order.
To find your job, find the number that matches the tile you chose.
1’ Muftiply the ones. Regroup if needed
MuftpIy the tens. Add any extrd tens. Regroup if teeded
Muftiply the hundreds, ‘dd an- extra hundreds. Regroup if needed.
.4’, Estimate to decide if the answer is reasonable.
*
a.
e.
*
*
*
*
*
3x16’l
b.
x519
6xL(02
d.
5x237
8x5O
9K3’18
0
0
‘U
Choose any other one-digit and three-digit numbers, Pick tiles again.
ollow steps 1 --4 for your numbers,
Center Activity 5-7
Topic 5
13
Put
inabag.
Get paper and a pencil.
Pick three tiles, FiM the squares for the three-digit number.
Let your partner, or the other team, pick a tile to fill the square for the
one-digit number.
Take turns as you do the steps listed below in order.
Put the tiles back in the bag before beginning the next round.
‘—
1
Multiply the ones Regroup if needei
cui
Multiply the tens. Add any extra tens. Regroup if needed.
rE 3
Multiply the hundreds. Add any extra hundreds. Regroup if needed.
Estimate to decide if the answer is reasonable
0
03
03
Give examples to explain why someone might
need to multiply two numbers like these.
14
Topic 5
Center Activity 57
.
A A
1
1
ii’
____________
______
__
__
_____
__
___
_____
_____
____
__
_____
__
___
____
____
-.
©
Ii
Pj( k i tik. Redd the problem. Choose a picture for that problem.
0
Thik IbOU
what you know and what you want to find. Explain how to
label the picture. Solve the problem. Cover that picture with your tile.
Display each 0
—
9 tile exactly once. If you have a partner, take turns.
b.
H
r
1
d.
c.I
E_LZLZ.L.IL_.
e.
f.
h.
a
I
LLi
?
j?j
?
I
.______
LJLJ Li
?i?I?I
I.,
I
1
John buys 6 times as many bananas as
Mary, who buys 4 bananas. How many does
John buy?
George weighs 7 pounds more than Ashley,
who weighs 50 pounds. How much does
George weigh?
Jane pays 5 workers $25 each. How much did
Jane pay in all?
Susan pays $6 for 3 cans of peanuts.
How much did Susan pay for each can?
0
Blueberries cost 6 times as much as
strawberries. If Eileen paid $2 for
strawberries, how much did she pay
for blueberries?
Alice pays $5 for a movie ticket. Bill
pays $9. How much more does Bill pay?
Henry has 40 people coming to dinner and
he has 4 tables. How many people will sit at
each table?
Maureen walked 8 miles more than James.
If she walked a total of 12 miles, how far did
James walk?
David walks 45 miles in 9 days. If David walks
the same distance each day, how far does he
walk each day?
Cara gave the sales person $1 for a package
of mints that costs 75 cents. How much
change did she get back?
0
LJJ
‘LJ
Make up other problems like these. Draw pictures for them.
Ask your partner to display the answers with 0 9 tiles.
—
Center Activity 5-8
*
Topic 5
15
—
—.
.
I
—
a
Read the problem. Draw and label a picture.
Talk about what you know and what you want to find.
Use one or more number sentences to solve the problem.
Display each 0— 9 tile exactly once. If you have a partner, take turns.
j
a. Henry walked 3 times as many miles as Tanya.
They walked a total oF 12 miles. How many miles
did Jdnya walk?
b. Adam buys three times as many carrots as Susan.
Susan and Adam have a total of 36 carrots.
How many carrots does Susan buy?
-.
-
.
.
.
,‘
.
.
-
.
c. Bob has 36 guests For a picnic. He places an ecipal
number of guests at each of ‘ tables, II he puts
2 spoons at each place, how many spoons does he
need For each table?
d. Nine students each contributed $10.00 to go to
the museum. Each ticket costs $5.00. How much
did the group have left?
e. Bill had S fewer apples than Mary. Bill has
15 apples. How many does Mary have?
i
£ Four friends each gave $20.00 to buy four
concert tickets. Each person got $1.00 in change.
How much were all four tickets?
C
0
Make up other questions like these.
Ask your partner to display the answers with 0
16
nL•
5
Center Activity 5-8
—
* *
9 tiles.
a.
Topic S *
Center Activity Answers
5—i Clip and Cover
Left
Oval
Right
Oval
Answer
8
50
400
8
400
3200
8
40
320
8
500
4,000
5—3 Think Together
Al 5x50=250
A2 9x20= 180
A4 2 x 90
=
180
81 3 x 800
=
2,400
B2 6 x 400
=
2,400
83 5 x 500
=
2,500
84 8 x 300
=
2,400
50
200
4
400
1,600
4
40
160
4
500
2,000
5
50
250
5
400
2,000
5
40
200
5
500
2,500
Dl 8 x 800
=
6,400
2
50
100
D2 9 x 800
=
7,200
2
400
800
D3 8 x 900
=
7,200
2
40
80
D4 9 x 800
=
7,200
2
500
1,000
El 4 x 500
=
2,000
Cl 9 x 40
=
360
C2 8 x 70
=
560
C3 4 x 90
=
360
C4 6 x 60
=
360
E2 4 x 500
Talk
Toss
8
Toss
6
Toss
9
Toss
10
Toss
11
Toss
7
Toss
4
Toss
5
Toss
12
Toss
5
Toss
8
Toss
3
Toss
9
Toss
2
Toss
6
Toss
7
Toss
6or4
Toss
2
Toss
7
Toss
5
Toss
8
Toss
10
Toss
3
Toss
8
Toss
6or4
Toss
11
Toss
5
Toss
9
Toss
7
Toss
9
Toss
12
Toss
6or4
A3 6x30= 180
4
I
5—4 Toss and Talk
2,000
E3 4 x 700
=
2,800
E4 5 x 400
=
2,000
Fl 5 x 800
=
4,000
F2 5 x 800
=
4,000
F3 6 x 500
=
3,000
F4 8 x 500
=
4,000
5—5L
Toss
8
Toss
6
Toss
10
Toss
12
Toss
5
Toss
2
Toss
9
Toss
7
Toss
7
Toss
8
Toss
3
Toss
11
Toss
6
Toss
4
Toss
9
Toss
5
Topic 5
17
Topic 5 *
Center Activity Answers
Sample answers
3,5 means
1 ten 1 one: 7 x 11
=
77
1,2 1 ten 2 ones: 7 x 12
=
84
1,3 1 ten 3 ones: 7 x 13
=
91
1,4 7 x 14
=
98
1,5 7 x 15
=
105
5—8 Display the Digits
5—7
5—6 Tic Tac Toe
1,1
al
1164
x
3
2
3x4=12
12 ones;
regroup lOones
for 1 ten
11164
3 x 6 = 18
18 tens + 1 ten =
19 tens;
regroup 10 tens
for 1 hundred
a2
x
3
92
1,6 7 x 16
=
112
2,1 7 x 21
=
147
2,2 7 x 22
=
154
2,3 7 x 23
=
161
2,4 7 x 24
=
168
2,5 7 x 25
=
175
2,6 7 x 26
=
182
3,1 7 x 31
=
217
3,2 7 x 32
=
224
3,3 7 x 33
=
231
3,4 7 x 34
=
238
3,5 7 x 35
=
245
b
4 x 519
=
2,076
3,6 7 x 36
=
252
C
6 x 402
=
2,412
4,1 7 x 41
=
287
d
5 x 237
=
1,185
4,2 7 x 42
=
294
e
9x348=3,132
4,3 7 x 43
=
301
f
8x650=5,200
4,4 7 x 44
=
308
4,5 7 x 45
=
315
4,6 7 x 46
5,1 7 x 51
=
322
=
357
5,2 7 x 52
=
364
=
371
=
378
5,3 7 x 53
5,4 7 x 54
(continued)
11164
a3
x
aW
cor
d
h
jor
3x1 =3
3 hundreds +
1 hundred =
4 hundreds
3
492
a4 Estimate: 3 x 200 = 600
or 3 x 150 = 450;
492 is a reasonable
answer.
5,5 7 x 55
5,6 7 x 56
=
385
=
392
6,1 7 x 61
=
427
6,2 7 x 62
=
434
6,3 7 x 63
=
441
6,4 7 x 64
=
448
6,5 7 x 65
=
455
0
6,6 7 x 66
=
462
0.
18
Topic 5
0
‘U
0
Ui
‘U
‘U
©
Topic 5 i(
Center Activity Answers
5 -! Clip and Cover
Left
Right
Oval
Oval
5—3 Think Together
6x500,
5x600
3000
.
560
7x80
4,200
600 x 7
720
90x8,
9 x 80
420
60x7
5,600
Answers will vary.
Sample answers
Answer
A
About how many minutes
does José spend playing
basketball in one week?
7 x 60 = 420
About 420 minutes
B
About how many pages
does Rhonda read in 8
weeks?
7 x 800
360
4800
6x60
800
><
60x9,
9 x 60
7,200
9 x 800
300
5x60
4000
5x800,
500x8
,
Toss
10
Toss
8
Toss
6
Toss
5
Toss
9
Toss
6
Toss
9
Toss
4
Toss
7
Toss
5
Toss
11
Toss
2
Toss
Toss
Toss
Toss
8
12
7
3
Topic 5
19
8 x 100 = 800
About 800 pages
6
540
5—5 Toss and Talk
C
About how many stairs
does Tom climb in 6
weeks?
6 x 500 = 3,000
About 3,000 stairs
5-4 Toss and Talk
5—2 Toss and Talk
Toss
8
Toss
12
Toss
6
Toss
7
Toss
4
Toss
5
Toss
3
Toss
9
Toss
9
Toss
10
Toss
7
Toss
8
Toss
6
Toss
11
Toss
5
Toss
2
Toss
Toss
Toss
Toss
2
9
8
3or7
Toss
Toss
Toss
Toss
6
10
3or7
11
Toss
Toss
Toss
Toss
6
4
5
5
Toss
3or7
Toss
12
Toss
8
Toss
9
Topic 5 * b:
Center Activity Answers
5-7 Teamwork
5-6 Tic Tac Toe
iii
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Sample answers
3,5 means
7x1177
2
1,2 7xl284
1,3 7x139l
1,4 7x14=98
1,5 7 x 15 = 105
L1
Step 1
—
7 ones
Step 2
2,4 7x24=168
2,5 7x25=175
2,6 7 x 26 = 182
3,1 8x31=248
3,2 8x32=256
3,3 8 x 33
3,4 8 x 34
3,5 8
35
3,6 8 x 36
4,1 8 X 41
=
Ste 3
272
280
=
288
251
x7
57
35 tens; regroup 30
tens for 3 hundreds
264
=
251
x7
1,6 7x16=112
2,1 7 x 21 = 147
2,2 7x22=154
2,3 7 x 23 = 161
1
5
251
x 7
1,757
14 hundreds +
3 hundreds =
17 hundreds;
regroup 10 hundreds
for 1 thousand
328
4,2 8x42=336
—344
x
3
4,3 8 4
4,4 8 x 44 = 352
4,5 8x45=360
Step4 7x300=2,100
1,757 is a reasonable
answer.
4,6 8x46=368
5,1 9x51=459
5,2 9 x 52
=
5,3 9x53=477
5,4 9x54=486
5,5 9 x 55
=
495
5,6 9x56=504
6,1
9 x 61
=
549
6,2 9x62=558
6,3 9x63=567
6,4 9x64=576
6,5 9x65=585
6,6 9x66=594
20
5—8 Display the Digits
468
Top5
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(continued)
Vocabulary Cards
Topic 5
Words
Compatible
Numbers
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Lesson 5—2
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Instead of making 2sided copies of this Words page and the Definitions page, you can copy the
Definitions page, cut out the cards, and have students write the words on the other side of the cards.
Topic 5
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Vocabulary Cards
Topic 5
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Definitions
Name
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Compatible Numbers
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Numbers that are easy to
compute mentally.
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Topic 5
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Name
Multiplying by 1-Digit
Numbers
Home-School
Connection
Topic 5 English
Pesr EsmHy,
Your child is learning how to multiply numbers by 1-digit number
how to estimate the procuct of two numbers using factors that cn be
multiplied mentlIy. For example, to estimate 4>< 52, you cn use 4>< 50.
Here is game you cn co together.
Roll to Multiply
Materials: 4 number cubes, paper and pencil
Step I Player 1 rolls the number cubes to generate four numbers
from 1 to 6. For example: 3, 5, 6, and 1.
Step 2 Player 1 selects three numbers to use for a 3-digit number
and one number to use for a 1-digit number to be multiplied
together with the goal to make the largest number. For example:
531 Z 6.
Step 3 Player 1 multiplies the numbers using the paper and
pencil. Player 2 checks the math. For example:
1
531
x6
3,186
Step 4 Player 2 takes his or her turn. The player with the greatest
product earns one point. The first player to reach five points is
the winner.
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Topic 5
23
_____________
__________________
II
Nombre
Home-School
Connection
Multiplicar por nümeros
de I digito
Estiriii frriHi:
Su io o ni est prenieno mu!tipIicr nmeros por ui nmero e
1 Igito
estirn eI proucto e os nmeros usano fctores ue se
pue1en muItipIicr meritImente. F’or ejeniplo, pr estimr 4 X 52, se
puece usr 4 X 50. A continuci6n est un .ctivic1 ue I pueen
reIizrjuritos.
Lanzar para multiphcar
Materiales: 4 cubos numéricos, Iápiz y papel
Paso I El (La) jugador(a) 1 Ianza los cubos numéricos para
generar cuatro nümeros de 1 a 6. Por ejemplo: 3, 5, 6 y 1.
Paso 2 El (La) jugador(a) 1 elige tres nümeros para usar como un
nümero de 3 dIgitos y uno para un nümero de un dIgito con elfin
de multiplicarlos y crear el nümero más grande. Por ejemplo:
531 x 6.
Paso 3 El (La) jugador(a) 1 multiplica los nümeros usando papel y
lápiz. El (La) jugador(a) 2 comprueba el cálculo. Por ejemplo:
1
531
x6
3,186
Paso 4 Ahora le toca al (a Ia) jugador(a) 2. El (La) jugador(a)
con el producto más grande gana un punto. El (La) primer(a)
jugador(a) con cinco puntos gana.
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Topic 5
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Name
Daily Spiral Review
5-1
1. Sanjay has 6 pages of baseball
cards. Each page holds 6 cards.
How many cards does he have
in aN?
A 12
B30
C36
D42
2. On Field Day, the fourth-grade
class splits up into 8 teams of
5 students each. How many
students are in the fourth-grade
4. Complete the tact family below.
÷
3
+
6
6
=
3x
=
6><
=
3
5. Write three number sentences that
have a product of 24.
class?
A
B
C
D
40
35
25
13
students
students
students
students
3. If there are 4 quarters in one
doNar, how many quarters can you
get for a five-dollar bill?
A9
B16
C20
D 100
Topic 5
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Problem of the Day
5-1
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Topic 5
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Interactive Learning
Recording Sheet
Name
,
j
1
Multiplying by Multiples
of 10 and 100
—
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Topic 5
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Name
Quick Check
5-1
1. Amanda volunteers 9 hours a
week at an animal shelter. If
she volunteers 50 weeks a year,
how many hours a year does
she volunteer?
A45
B 450
C 4,500
D 45,000
2. The number of students who
attended an end-of-year school
party was 6 times the number of
students who are in the fourth
grade. If there are 20 students
in the fourth grade, how many
students attended the party?
A 120
B 1,200
C 12,000
D 120,000
3. Use the basic multiplication fact
4 >< 4 = l6to solve 400 x 4.
A 160,000
B 16,000
C 1,600
D 160
4. Writing to Explain Use a basic multiplication fact to write
a multiplication problem that gives 5,600 as the product.
Explain your thinking.
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Topic 5
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Reteaching
Name
5-1
Multiplying by Multiples
of 10 and 100
Patterns can help you multiply by numbers that are multiples of
10 or 100.
3x515
2x48
5x735
3x50150
2x4080
5x70350
3 x 500
2 x 400
5 x 700
1,500
800
3,500
To find each of the products above, first complete the basic
multiplication fact, then write the same number of zeros seen in
the factor that is a multiple of 10. For example:
3 x 500
=
1,500
Firstfind3x5,
3x5=15
Then, count the number of zeros
in the multiple of 10.
500 has 2 zeros.
Write 2 zeros to form the product.
1,500
Find each product. Use mental math.
I. 8x80=
2. 6x60=
3, 7x90=
4. 5x200=
5. 3x40=
6. 7x200=
7. 500x6=
8. 600x9=
9. 3 x 800
=
10. 600 x 7
=
11. Number Sense To find 8 x 600, multiply 8 and 6, then
write
zeros to form the product.
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Name
Practice
5-1
Multiplying by Multiples
of 10 and 100
Find each product. Use mental math.
1. 6x70=
2. 80x2
3. 40x9=
4. 10x3=
5. 4x500=
6. 300x9=
7. 8x600=
8. 7x400=
9. 6x200=
10. 800x5=
11. 6x800=
12. 400x3=
13. Number Sense How many zeros will the product of
7
x
500
have?
Mr. Young has 30 times as many pencils as Jack. The whole
school has 200 times as many pencils as Jack. If Jack has
2 pencils, how many pencils does
14. Mr. Young have?
15. the whole school have?
16. Find3x 100.
A 30
B 300
C 3,000
D 30,000
17. Writing to Explain Wendi says that the product of 5 X 400
will have 2 zeros. Is she correct? Explain.
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Topic 5
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Name_____
Enrichment
5-1
In the Blink of an Eye
1. You take about 4,000 steps in 12 hours. About how many
steps do you take in 8 days? Fill in the table. Look for a pattern.
Time
12h
24h
2 daYs
_Number of Steps
]
Patterns
4daysj 8days]
2. About how many steps do you take in a 30-day month?
Explain how you found your answer.
3. You breathe about 10 times every 30 seconds. About how
many times do you breathe in 10 hours? Fill in the table.
Look for a pattern.
Rime
30sec
1 mm
Number of_Breaths___________
10mm
1 h
lOh
I
4, About how many times do you breathe in a day?
Explain how you found your answer.
5. Your eyes blink about 150 times in 10 minutes. About how many
times do you blink in 3 minutes? Fill in the table. Look for a pattern.
‘flme
10 mm
5 mm
4 mm
3 mm
2 mm
1 mm
L_____________________
6. About how many times do your eyes blink every 30 seconds?
Explain how the table you made can help you find the answer.
u-I
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Topic 5
31
Name
Daily Spiral Review]
L
1. A telephone keypad has 3 buttons
per row. If there are 4 rows of
buttons, how many buttons are on
the keypad?
A7
B 10
C 12
D 15
2. Peter jogs 2 miles every day. How
many miles does Peter jog in one
week?
A 35 miles
B 28 miles
C 14 miles
D 10 miles
3. Sandra earns $10 per week for
doing chores. If she saves her
money, how much will she have
saved in 4 weeks?
A $400
B $40
C $20
D $14
5-2
J
4. Penny wants to buy a new electric
scooter. The model she wants
costs $180. She also needs to
buy a helmet, which costs $30.
How much money does she need
altogether?
Money Raised at Book Fair
Amount Raised
Person
Mr. Grindlow
$287
Ms. Miller
$285
Mrs. Daisy
$321
Mr. Jameson
$305
5. The fourth- and fifth-grade classes
at Evanston Elementary had a
book fair to raise money. Write
the names of the teachers in
order from whose class raised the
greatest amount to whose class
raised the least.
6. How much money did Mr.
Grindlow’s and Mrs. Daisy’s
classes raise together?
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5-2
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Topic 5
33
____
Quick Check
Name
5-2
Use the table for Exercises I through 3.
Item
T-Shirt
Sweatshirt
Jacket
1
J
Cost
$14
$28______
$43
1. Coach Anderson wants to buy
each member of his softball team
a team jacket. If there are nine
members of the team, how much
will Coach Anderson spend on
jackets?
2. Six members of the softball team
decide to order T-shirts. How
much do they spend on T-shirts
altogether?
A $84
B $96
A $287
C $104
B $327
D $116
C $367
D $387
3. Each of the 7 members of the swim team decide to buy
matching sweatshirts. How much do they spend altogether?
A $206
B $196
C $166
D $146
4. Writing to Explain Damien used this method to find the
product 81 x 9. What did Damien do wrong? What is the
correct answer? Explain your reasoning.
81 x 10
=
810
810
=
801
—
9
So, 81 x 9
801
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Topic 5
Name
Reteaching
5-2
Using Mental Math to Multiply
You can multiply mentally by using compatible numbers or
breaking apart numbers.
Find 4
±
Step 1:
19 using compatible numbers.
Find 2
Substitute a compatible number for 19
that is easy to multiply by 4.
Step 1:
19
><
Step 2:
x:
2
Step 2:
Find the new product.
4
20
Step 3:
4
76
Think of 2
140
Step 3:
4
76
2 x 70
Now adjust. Subtract 1 group of 4.
80 4
76.
19
x
>.
76 as
2 x 70 and 2 x 6.
80
-
Use place value to break apart
76 into 70 and 6.
4
Add 1 to make 20.
20
76 by breaking apart numbers.
+
2 x 6
12
Add the partial products to get the total.
140
±
2
76
><
12
=
=
152
152
Use mental math to find each product.
1. 5 x 32
=
2. 7 x 53
=
3. 66 >< 2
=
4. 92 x 4
=
5. 31
=
6. 4 x 29
=
7. 18x5=
8. 6 x 49
=
><
8
9. 68 x 3
=
11. 17x5=
10. 4x19=
12. 31 x 6
=
120, a is a one-digit number and b is a
13. Algebra In a x b
two-digit number. What numbers could a and b represent?
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Topic 5
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Name
Using Mental Math to Multiply
Practice
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find each product.
Use compatible numbers to
1. 34x4=
2. 53x7=
3. 41 x6=
4. 76x5=
5. 83x3=
6. 28x8=
7. 94x2
8. 16x4=
9 46x5=
Use breaking apart to find each product.
10.
15x6=
11. 95x4=
12.
13.
83x7
14.
36x2=
15. 79x4=
16.
42x8
17.
17x5=
18.
29x6=
86x9=
19. Reasonableness Quinn used breaking apart to find the product
of 37 >< 4. Her answer was 124. What did she do incorrectly?
20.
Davidson’s Bakery uses
9
dozen eggs to make cookies each
day. How many eggs do they use?
A 90
B 98
21. Writing to Explain Find
you found the product.
C 108
the product of
D 112
53
x
6.
Explain how
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Topic 5
Name________
Block Party
t
un
lo k in each structure •Then write the
lo ks
Enrichment
5-2
Visual Thinking
1
1
Total number of blocks:
2. There are 5 levels.
Total number of blocks:
3 Copy the pattern of 3 shaded blocks, 2 striped blocks, and
1 spotted block, Repeat this pattern to draw a side view of
a staircase with 12 shaded blocks, 8 striped blocks, and
4 spotted blocks.
Pattern:
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Topic 5
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Daily Spiral Review
Name
J
L
1. Jimmy’s brother is 6 years old.
Jimmy is twice as old as his
brother. How old is Jimmy?
A 3
4. Maven’s class planted 10 rows of
trees. If they planted 10 trees in
each row, how many trees were
there in all?
B12
C18
D 32
2. If there are 7 days in a week, how
many days are in 8 weeks?
A 28 days
B 35 days
C 56 days
D 63 da s
3. A classroom has 32 desks
arranged in 4 rows of desks.
Each row has an equal number
of desks. How many desks are in
each row?
A9
B8
C7
D6
5. What number sentence is shown
by the array below?
fl(
6. Complete the following fact family.
x4=12
x
=12
=4
12÷
÷
=3
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Topic 5
Problem of the Day
5-3
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Topic 5
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Interactive Learning
Recording Sheet
Name
Using Rounding to Estimate
4IHiWi}iIII{IIIiIIliHiIWiHtIWWIW
70
60
50
40
30
20
10
0
80
90
100
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40
Topic 5
Quick Check
Name
5-3
1. There are 61 fourth-grade students
at Lincoln Elementary School. Each
fourth-grader brought in 5 cans
for the recycling drive. About how
many cans did the fourth-graders
collect?
2. There are 78 fifth-grade students
at Lincoln Elementary. Each fifthgrader brought in 6 cans. About
how many cans did the fifthgraders collect?
A 420
A 600
B 450
B 500
C 480
C 400
D 520
D 300
3. Writing to Explain Use rounding to estimate the product
13 x 9. Then, use compatible numbers to find the actual
answer. It Alison was rounding to find how much 13 books
that were $9 apiece cost, would she get a good estimate?
Explain.
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____
Name
Reteaching
5..3
Using Rounding to Estimate
You can use rounding or compatible numbers to estimate products.
Estimate 7 x 28.
Using rounding numbers
Round 28 to 30.
7 x 30
7 x 30 210
Using compatible numbers
Replace 28 with 25.
7 x 25
7 x 25
175
Estimate each product.
1. 6 x 88 is close to 6 x
2. 59
3. 7 x 31
4. 38 x 5
5. 21 x 6
6. 3
7. 5 x 790
8. 488>< 6
>(
><
4 is close to
><4
53
9. Number Sense Estimate to tell if 5 x 68 is greater than or
less than 350. Tell how you decided.
10. Estimate how many of Part C
would be made in 4 months.
3,500
ci
Parts Made at a Factory
in One Month
3,000
2,500
11. Estimate how many of Part B
would be made in 3 months.
‘5
a, 1,500
E 1,000
z
500
0
12. Estimate how many of Part A
would be made in 9 months.
42
Topic 5
I.
2,000
PartA
PartB
PartC
I
Practice
Name
5-3
Using Rounding to Estimate
Estimate each product.
1. 38x2
2. 7x47
3. 54x6
4. 121x2
5. 548 x 8
6. 823 x 3
7. 7x289
8. 183x4
9
10
2x87
673x8
11111
The distance between San Francisco, California, and
Salt Lake City, Utah, is 752 miles
11
About how many miles would
a car drive if it made 4 one-way
trips’?
12 About how many miles would
a car drive if it made 9 one-way
trips’?
13. Vera has 8 boxes of paper clips. Each box has 275 paper
clips. About how many paper clips does Vera have?
A 240
B 1,600
C 2,400
D 24,000
14, Writing to Explain A large 7-story office building has 116
windows on each floor. About how many windows does the
building have in all?
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Topic 5
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_________
________
Name
Enrichment
5-3
Who’s Here?
Do you know how to find the attendance of people at a large
event? It is too many people to count one-by-one, so you need
to use an estimate. This is called crowd estimation.
Estimation
1. Draw 3 lines going up and down, Connect dot to
dot. Draw 3 lines going across. Connect dot to dot.
Find the box that is farthest left and on the bottom.
Count as many people in the box as you can.
2. Count the total number of boxes.
3. Estimate to find the total number of people.
number of people x number of boxes
=
total number of people
i.
x
44
I
Topic 5
Name
Daily Spiral Review
5-4
1. There are 33,201 people living
in Harold’s town. There are
8,295 people living in Nancy’s
town. How many people live
in both towns?
A 31,496
B 33,496
C 41,496
D 48,496
2. Victor has 8 boxes of pasta. Each
box has 99 pieces of pasta.
How many pieces of pasta does
Victor have?
A 972
B 792
C 722
D 107
4. George has read 849 pages this
year. How many pages has he
read rounded to the nearest ten?
5. Ms. Jackson has two sons. Tim is
65 inches tall, Jake is 6 feet tall.
Who is taller?
6. Randal has a spinner divided into
4 equal sections. The sections
are labeled A, B, C, and D. Is it
less likely, equally likely, or more
likely that Randal will spin an A
than a C?
3. Rita used 42 beads to make one
bracelet. She made 6 bracelets.
How many beads did Rita use
in all?
A 252
B 210
C48
D7
0
0
Cu
0
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UI
0
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Cu
0)
©
Topic 5
45
© Pearson Education, nc. 4
rr
Mrs. Sanchez’s class is making “All
About Me” books. Each book is made
up of 2 pieces of construction paper
and 6 pieces of writing paper.There
are 26 students in Mrs. Sanchez’s
class. About how many pieces of
paper will she need?
[I
Name
Quick Check
5-4
1. Ursula has an album that she
keeps pressed flowers in. The
album has 34 pages, and each
page has 7 pressed flowers.
Which of the following shows a
reasonable estimate of how many
pressed flowers Ursula has?
280
C 50 >< 5
250
D 60 x 4
=
A 7x125=875
B 8x110=880
A 30x7=210
B 40 x 7
2. Isabelle has 9 ant farms. Each
ant farm has 99 ants. Which of
the following shows a reasonable
estimate of how many ants
Isabelle has?
C 9 x 100
=
900
D lOxlOO= 1,000
240
3 At an athletic club there are
12 people on a sports team. There
are 8 teams. Which bar diagram
shows how to find how many
people play on teams?
4. Kenny has 7 pouches. Each pouch
has 21 marbles. About how many
marbles does Kenny have?
A 200
B 140
A
96 —H
—
1121121121121121121121
D70
96 —H
B
C 100
48
48
80
C
20
20
20
D
I
20
I
96
24
24
I
24
I
24
5. Writing to Explain Every day for 1 week Derek’s cousin told
him 11 jokes. Each joke took 3 minutes to tell. Derek thinks
his cousin told him 33 minutes of jokes in the 1 week. Explain
why this answer is not reasonable. Find how many minutes of
jokes were told and explain your reasoning.
0
0
0
Lu
0
0
Topic 5
47
___
______
______
_________
Na me
Reteaching
5-4
Problem Solving:
Reasonableness
After you solve a problem, it is important to check your answer to
see whether it is reasonable.
Read and Understand
There are 5 animals on a farm. Each animal eats
105 pounds of food per week. How much food
does the farmer have to buy each week?
I
?poundsoffoodinall
105 1 05J05 105 105
fh.
Plan and Solve
Multiply to find the answer. 5 x 105
Check for Reasonableness
Ask yourself, “Did I answer the right question?”
Estimate to check your answer 5 x 100 = 500
=
525
The answer is reasonable because 500 is close
to 525
/
Solve the following problems Check your answers for reasonableness
1. Marisa multiplied 302 x 6 and got a product of 192.
Explain why Marisa’s answer is not reasonable.
2. Jaime practiced swimming for 11 hours every week for
8 weeks. About how many hours did he practice in all?
How can you check your answer?
0
C
C
0
C
0
-D
w
0
a)
a)
48
Topic 5
________
_________
Name
_________
__________
Practice
5-4
Problem Solving:
Reasonableness
For I and 2, use reasonableness to decide if each answer is
correct. Explain why the answer is reasonable or not. If the
answer is incorrect, give the correct answer.
1. Johan is selling baseball cards for
8 cards and says he’ll make $8.
ioe each.
He is selling
2. Erika is bringing cupcakes to her class. Her class sits in
4 rows of 7, so Erika estimates she’ll need 35 cupcakes.
Julia is planting sunflowers. Use the table to the right
to solve 3 through 5.
3. How large will the sunflower be after the 5th week?
4. Viktor divided 63 by 7 and said his answer is 10.
Which statement below shows why his answer is
NOT reasonable?
Weeks
1
2
3
4
5
Height in
inches
16
32
48
64
A Viktor subtracted
C Viktor estimated, he didn’t solve
B Viktor answered the wrong question
D Viktor is correct
5. Writing to Explain The world’s largest sunflower was about 300 inches tall.
Julia says her sunflower will be that tall in 10 weeks because after 2 weeks her
sunflower was 32 inches and 32>< 10 = 320. Is Julia correct? If not, what did she
do wrong?
C)
0
0
U)
0
0)
Topic 5
49
Enrichment
Name
5-4
Jump to Score
Number Sense
At a jump rope contest at the Roosevelt School, players get
two turns in each game. Each player wants to make a certain
number of jumps in her second game in order to beat her own
personal best record. Finish each player’s chart to show how
many more jumps she has to make.
1. Beatriz wants to score 300 points.
Game
Jumps
Jumps Still
Made
Needed
2. Gloria wants to score 350 points.
Jumps Jumps Still
Game
Made
1
156
144
1
215
2
159
141
2
183
3
148
3
175
4
164
4
198
3. Larissa wants to score 400 points.
Game
Jumps
Jumps Still
Made
Needed
Needed
135
4. Heidi wants to score 436 points.
Game
Jumps
Jumps Still
Made
Needed
1
221
1
270
2
218
2
245
3
175
3
218
4
234
4
212
5. Which player has to make the most jumps in her second
game to meet her best goal in every game?
0
(U
0
-o
w
0
0
50
Topic 5
Name
Daily Spiral Review
5-5
1. Larry scored 81 points in 9
basketball games. How many
points per game did he average?
A5
B7
C9
D12
5. The product of two numbers is 45.
Their sum is 14. What are the two
numbers?
6. Copy and complete the calculation.
4X23x
2. What is eight thousand, five
hundred six written in
standard form?
A 8,506
B 8,560
C 80,560
D 85,068
3. Will had 23 CDs in his collection.
He gave some away to a friend.
Now Will has 16 CDs. How many
CDs did he give away?
A8
B7
C6
D5
23
4
7. Aaron’s family is driving 80 miles
to the mountains. They have
already traveled 30 miles. They are
traveling at a speed of 50 miles per
hour. How many hours will it take
them to complete the trip?
8. A number divided by 8 is 8. What is
the number?
4. Ashley read a book that had 183
pages. Then she read another book
that had 173 pages. About how
many pages did Ashley read in all?
A 400 pages
B 300 pages
C 200 pages
D 100 pages
‘-C
0
Ca
C)
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U)
C
0
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a’
C-
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Topic 5
51
_
Problem of the Day
5-5
-o
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(D
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I),
>(D
•
CV)
S
GoS(D
(D
>%
(D
I
Name
1. Which numbers complete the
calcu laUon?
27
x6
+
A 42,120,162
B 13,127,140
C 42,112,154
D 27. 120, 147
2. Which array represents 4 x 19?
A
TTh:r TTTTTTh
11
B
C
TD0j UIfl
ro-jj-j ojj
TTflTT
mTTT0
Tt!i
D
———
—
flUt
3. Writing to Explain Gerard played his favorite song on his
MP3 player 26 times a week for 4 weeks. How many times
did he hear his favorite song in 4 weeks? Explain how you
can use partial products to find the answer.
C)
0
0
0
UI
0
C,
0)
0
Topic 5
53
Reteaching
Name
5-5
Using an Expanded Algorithm
You can use arrays of place-value blocks to multiply.
Find the product for 3 x 14.
What You Write
What You Show
3 x 10
=
3 x 4
30
30
+
12
=
42
=
3 X
12
X3
12.
Lf oS
3 X I te
+30
fl
Draw an array for each problem to find the partial products and
the product. Complete the calculation.
1.
18
x4
2.
21
X6
3.
17
x6
4.
11
x2
5
23
x5
6.
16
x3
7. Number Sense What two simpler problems can you use to find 9 x 38?
(Hint: think about the tens and ones.)
0
r
w
0
54
Topic 5
______
Practice
Name
5-5
Using an Expanded Algorithm
Use the array to find the partial products. Add the partial products
to find the product.
IITb (fli
mTrrTTT ur;
rr tr-rrrrrm1 curnr
:
42
iT(U rttV
2
X
1f11L
39
7
crrnirim
rrr;
3.
21
x4
4.
LLLLLLm
e
37
x4
I
r
TmmnT?m7T7TD
...
..
,,.
.
5. 7x14=
6. 3 x 52
7. 4 x 42
=
8. 5x26=
9. 6 x 62
=
10. 9 x 76
iLL ft1-TTDt
=
=
11. Alex can type 72 words per minute. How many words
can Alex type in 5 minutes?
12. Find 8 x 44.
A 282
B 312
C 352
D 372
13. Writing to Explain Explain how you can use an array to find partial products
for4 x 36.
0
-D
w
C
0
a)
0
Topic 5
55
Name
Rhyming Multiplication
Write a number sentence for each verse.
Enrichment
5-5
Number Sense
1. As I was going to the store
I saw seven dogs and one dog more.
Each dog had fifteen bones to chew.
How many bones came into view?
2. 18 marchers marched in a row.
Each marcher had 4 horns to blow.
They blew all the horns, both bg and small.
How many horns did they blow in all?
3. Six monkeys were kind of thrifty.
They all loved bananas and they each ate fifty.
Bananas to monkeys are a special treat.
How many bananas did the monkeys eat?
I
I.
4. What did I see on the street today?
Seventy-seven fire trucks came my way.
Nine firefighters on each truck waved at me.
How many firefighters did I see?
I
56
Topic 5
Daily Spiral Review
Name
1. Which digit is in the hundreds place
in 42,102?
A0
Bi
C2
D4
4. Sasha has 8 pets. Lucia has
17 pets. How many pets do they
have together rounded to the
nearest 10?
5. Write the time shown on the clock.
2. About how long is the toy car?
10
A
B
C
D
4 feet
3 feet
4 inches
3 inches
6. Hector has 11 model trains.
On each model train there are
8 wheels. How many wheels are
on Hector’s model trains?
3. Steve’s plant is 12 inches tall.
Jennifer’s plant is 15 inches tall.
How much taNer is Jennifer’s plant
than Steve’s?
A 3 inches
B 4 inches
C 15 inches
D 27 inches
C
C
0
ci
0
cii
C
0
(0
0)
0
©
Topic 5
57
_
Problem of the Day
5-6
‘I,
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QC(D
(N
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(D
2
r.
C
I
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©
58
Topic 5
Quick Check
Name
1. Julia has 4 bookshelves. Each
bookshelf has 56 books. How
many books does Julia have?
L
2. David plays a baseball game 27
times a month. How many times
does he play baseball in 5 months?
A 224
A45
B 200
B 100
C44
C 135
D24
D 170
3. Ken hosts a radio show 6 times a
week. He hosts the show 49 weeks
a year. How many times does Ken
host the show in a year?
5-6
4. A factory can make 52 toys an
hour. The factory is open for 8
hours a day. How many toys does
the factory make in a day?
A 348
A56
B 294
B 400
C 264
C 416
D 240
D 432
5. Writing to Exp’ain What is the greatest product
possible when you multiply a 1-digit number greater
than 0 by a 2-digit number? What is the least product
possible when you multiply a 1-digit number greater
than 0 by a 2-digit number?
U
0
uJ
0
a)
0
Topic 5
59
______________
___________________
_________________
Name
Reteaching
5-6
Multiplying 2-Digit by
1-Digit Numbers
:
Here is how to multiply a 2-digit number by a 1 -digit number
using paper and pencil.
Find 3
Y
24.
What You Think
Step 1
mrn,-rr.
Multiply the ones.
Regroup if necessary.
enn
What You Write
2q
I
x
3x4=l2ones
Regroup 12 ones as 1 ten 2 ones.
2
3x2tens=6tens
6 tens + 1 ten = 7 tens
72
Step 2
Multiply the tens.
Add any extra tens.
Is your answer reasonable?
Exact:
3 > 24
72
Round 24 to 20.
Estimate: 3 x 20
=
60
Since 72 is close to 60, the answer is reasonable.
:WW
Find each product. Decide if your answer is reasonable.
1.
13
x3
2.
17
x7
3,
5.
62
x 6
6.
36
x5
7.
9.
24
x5
4.
88
5
8.
x
48
X8
><
52
8
Estimation Use estimation to decide which has
the greater product 81 x 6 or 9 x 5
0
60
Topic 5
____________
__
__
______
_
_
___________
___________
___________
Practice
Name
5-6
Multiplying 2-Digit by
1Digit Numbers
Find each product. Decide if your answer is reasonable.
1.
2.
19
3.
23
X4
4.
39
x7
5.
48
x5
6.
53
x7
8. 42x6=
9. 89x8=
10. 77x9=
11. 94x4=
51
x6
7.
29
x8
12. Number Sense Penny says that 4 x 65 = 260. Estimate to
check Penny’s answer. Is she right? Explain.
13. A large dump truck uses about 18 gallons of fuel in
1 hour of work. How many gallons of fuel are needed
if the truck works for 5 hours?
14. Which of the following is a reasonable estimate for 6 x 82?
A48
B480
C540
D550
15. Writing to Explain Tyrone has 6 times as many marbles as his
sister Pam. Pam has 34 marbles. Louis has 202 marbles. Who
has more marbles, Tyrone or Louis? Explain how you found
your answer.
C
Co
t0
CC
0
Co
Topic 5
61
________________
___________
________
___________
_________
_________
_________
____
_
Name________________________________
Enrichment
Mathematical Marlena
5-6
Marlena is about to amaze you with great feats of mathematics.
Marlena says, “I want you to write the number 37 three times.”
1. Now she says, “Multiply the first 37 by 1.”
2. Then she tells you, “Multiply the second 37 by 2.”
3. She directs you to “Multiply the third 37 by 3.”
4. She says, “Take each product and multIply it by 3.”
5. Marlena now asks, “What is the pattern through the number 9?”
Then Marlena begins her second math game.
6. She tells you, “Write a number between 1 and 5.”
7. Then she says, “Now add 5 to the number.”
8. Now she says, “Multiply the number by 2.”
9. She says, “Subtract 2 from the product.”
10. Mailena then says, “Now multiply that answer by 2.”
11. Then she asks you to “Divide the product by 4.”
12. She finally directs you to “Subtract 4 from your answer.”
Marlena says, “The answer is the number you wrote down!”
62
I
Topic5
I
57 J
L
Name
Daily Spiral Review
1. The chart below shows the
number of students enrolled in four
elementary schools in the same
district. Which school has the most
students?
District Enrollment
School
Number of Students
Adams
4,341
Clark
4,371
Braintree
4,322
Dumont
4,327
A
B
C
D
Adams
Braintree
Clark
Dumont
Carlos is trying out his new scooter.
Use the pattern to find how many
miles Carlos will ride in 5 hours.
Time (hours)
Distance(miles)
C
5. Write the number 8,011 in
expanded form.
6. Josh has $0.80 in his right pocket
and $0.02 in his left pocket. How
much money does he have in total?
2. Wendy bought an inflated
basketball that came in a box.
What shape is the basketball?
A Circle
B Square
C Sphere
D Cube
3
4. The state fair was open for 4 days.
Stewart went to the fair all 4 days.
He bought 9 tickets each day.
How many tickets did Stewart
buy altogether?
A28
B30
C32
D36
1
10
2
20
3
30
AlO
B40
C50
D 140
C
0
C-)
t
Ui
0
C,
a)
Topic 5
63
_
_
_
_
Problem of the Day
5-7
4-’
C
‘-
Q.—
>C
U
CO
• —
.—
F
a
4—’
(tz
Q
I
I_i
i_C
WI
U4-’
6
4—
64
lopic 5
4m
-
4-)
1
II
_
__
__
_____
Quick Check
Name
5-7
1. A freight company is shipping
3 boxes that weigh 118 pounds
each. How much do the 3 boxes
weigh aN together?
2. Luke has 6 boxes of baseball
cards. Each box has 213 cards.
How many cards does he have?
A 198
A840
B639
B 384
C 1,224
C 360
D 1,278
D 354
3. A pet store has 9 giant fish tanks.
In each fish tank there are 423 fish.
How many fish are in all the
fish tanks?
4. A series of books has 7 volumes.
Each volume has 837 pages. How
many pages are there in the series?
A 5,859
A 3,600
B 5,670
B 3,645
C 3,348
C 3,807
D 2,205
D 3,825
5. Writing to Explain Martin multiplied 423 by 7 and got an
incorrect answer of 2,841. What did Martin do wrong? What
is the correct answer? Explain what Martin needs to do to get
the correct answer.
C
0
Ct
E
cC
©
Topic 5
65
________
Name
Reteaching
5-7
Multiplying 3-Digit by
I -Digit Numbers
Here is how to multiply larger numbers.
Example A
Example B
2
Stepi
lYf
Multiply the ones.
Regroup if necessary.
7
X
6
—_____
21
Step2
2
lYf
Multiply the tens.
Add any extra tens.
Regroup if necessary.
16
‘11?
21
Step3
Multiply the hundreds.
Add any extra hundreds.
X
2
lcq
21q
t
JLZ
616
Find each product. Estimate to check reasonableness.
1
185
2
x4
IL
5
9
625
x
6
517
x
4
3
381
5
7
6
x
Number Sense How could you
use the product of 108 and 4 to
find the product of 324 and 49
741
3
4
x
711
8
8
x
x
413
6
802
x
5
F
10 A factory can make 241 footballs
in 1 week. How many can it make
In 9 weeks’?
[
I
o
o
Ui
a)
©
66
Topic S
____
____
Name
Practice
5-7
Multiplying 3-Digit
by 1-Digit Numbers
Find each product. Estimate for reasonableness.
1.
352
3
2.
x
219
6
6.
x
5.
9. 7 x 211
385
x
4
3.
768
><
7
7.
482
x
8
4.
521
4
8.
x
x
632
5
848
x
9
10. 6x517=
=
If the baseball players in the table score
the same number of runs each season,
how many runs will
Runs Scored in 2001
Player Runs Scored
II. Player A score in 5 seasons?
A
128
B
113
C
142
12. Player C score in 8 seasons?
13. How many bottles of water would Tim sell if he sold
212 bottles each week for 4 weeks?
A800
B840
C848
14. Writing to Explain If you know that 8 x 300
can you find 8 x 320? Explain.
D884
=
2,400, how
0
as
0
w
0
(a
0
©
Topic 5
67
__
__
____
_____
_____
____
_____
Enrichment
Name
5-7
Roll Out the Fun
Find the missing factors and products to complete the number
sentences. Then complete the sentences in the word problems.
Number Sense
Souvenirs
Zippy Roller Coaster
Height: 83 ft
Baseball cap—157 tickets
Length: 903 if
T-shirt—279 tickets
Stuffed animal—318 tickets
1. Neil’s family and Reena’s family spent two days at the
amusement park. On Fridays, family passes cost $109. On
Saturdays, family passes cost $139.
2x 139
2x 109
on Friday
Altogether, the two families spent
and
on Saturday.
2. The world’s longest roller coaster is 9 times the length of
the Zippy roller coaster. The world’s highest roller coaster
is 5 times the height of the Zippy roller coaster.
x9_____
N
I.
83x
=
The world’s longest roller coaster is
ft long.
The world’s highest roller coaster is
ft high.
3. Before leaving the amusement park, Reena went to the
souvenir store. She got 1 baseball cap for each of her
3 friends. Then she bought herself 2 stuffed animals.
-______x 157
Reena used
and
=
2x
tickets to get gifts for her friends
tickets to get the stuffed animals.
=
U
UJ
0
68
Topic 5
Name
Daily Spiral Review
5-8
1. Abby is making bead bracelets
to give to her friends and family.
So far, she has used 436 beads.
She still has 172 beads left. How
many beads did Abby have when
she started?
A 528
B 558
C 608
D 618
2. Which money amount is the
same as 4 ones, 8 tenths, and
3 hundredths?
A 4 dollars, 8 quarters, 3 dimes
B 4 dollars, 8 dimes, 3 pennies
C 4 dollars, 8 dimes
D 4 dollars, 80 pennies
5. Write the next two numbers in this
pattern.
2,4,8,16,
6. Write the word name and decimal
for the shaded part.
7. The fourth-grade class is taking
3 buses to go on a field trip to the
science museum. Write a number
sentence to show how many
people are going on the field trip
if all 3 busses have 45 people
on board.
3. Julie collected 74 cans for the food
drive. Lou collected 49 cans. How
many more cans did Julie collect
than Lou?
All
B25
C35
D41
C)
4. Which number has a 3 in the
ten-thousands place?
A 781,321
B 432,413
C 302,714
D 283,306
8. Order the numbers below from
least to greatest.
35,291
35,251
36,984
36,672
C
0
Os
0
C
13
Li)
C
0
Os
0
cl
Topic 5
69
_
_
Problem of the Day
5-8
.—
IN
V)
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(CQQE
4-,
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CD
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4-’
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C
C
CD
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flULJ
C
70
TOpic 5
1:
Name
1.
Ben
Larry
1
4,212
f
3,400
?
How many more miles does Ben
drive than Larry?
A 406
B812
C 4,212
D 7,612
2. The Patton family has 8 members.
The Spruance family has 3
members. A movie ticket costs
$9 at the local theater. How much
more does it cost the Patton family
to go the theater then it does the
Spruance family?
A$72
B $45
C $24
D$9
3. Aidan has 114 stamps. Laura has twice as many stamps.
How many stamps does Laura have?
A ll6stamps
B 200 stamps
C 214 stamps
D 228 stamps
4. Writing to Explain Make a model to show that Amanda has
3 times as many movies as Adam. Then, find the number of
movies Amanda has if Adam has 13 movies.
0
uJ
C
Topic 5
71
____
__________
____
Reteaching
Name
5-8
Problem Solving: Draw a
Picture and Write an Equation
Wt114L%1STI
.—
Understanding when to choose a particular operation can help
you solve problems.
READ AND
UNDERSTAND
Show the
main idea,
The average male giraffe is 3
times taller than Ramon. Ramon
is 6 feet tall. How tall is the
average male giraffe?
Ramon
Giraffe
A goldfish named Tish lived from
1956 to 1999. How many years
did it live?
2
6
3times
666 astall
II
1999
1956
? feet in all
PLAN AND SOLVE
Choose an
operation.
Multiply to find “times as tall.”
3
Times
as
tall
><
6
=
Ramon’s
height
Subtract to compare the numbers.
18
1999
Average
giraffe’s
height
Year
died
—
1956
Year
born
=
43
Years in
between
Draw a picture to show each main idea. Then choose an
operation and solve each problem.
1. Nora has a collection of 14 stuffed animals. Mindy has
twice as many stuffed animals. How many stuffed animals
does Mindy have?
2. Runner A ran 844 miles last year. Runner B ran 1,063 miles.
How many more miles did Runner B run than Runner A?
0
C
0
Co
0
C
Cii
A,
72
Topic 5
Name
Problem Solving: Draw a
Picture and Write an Equation
Practice
j
5-8
Draw a picture to show the main idea. Then choose an
operation and solve the problem.
1. A sack of potatoes weighs 20 lb and holds 200 potatoes.
A sack of apples weighs 20 lb and holds 325 apples. How
many more apples are there in a 20 lb sack?
2. Shawna has 35 football cards and 5 times as many
baseball cards in her sports-card collection. How many
baseball cards does she have?
3. A picture frame costs $8. How
much will 4 frames cost?
4. The first modern electronic computer, called
ENIAC, was introduced in 1946. Personal home
computers were not available until 28 years later.
In what year were personal home computers
introduced?
0
0
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0
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Topic 5
73
Enrichment
Name
How Many Are There?
Use addition, subtraction, or multiplication to find the number
of each shape in the patterns in the figures below. Then explain
how you found your answers.
1.
5-8
Patterns
How many are in the pattern?
How many are in the pattern?
How many 7 are in the pattern?
How did you find the number of each shape in
the pattern?
2.
How many are in the pattern?
How many• are in the pattern?
How many 0 are in the pattern?
How did you find the number of each shape in
the pattern?
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0
w
0
74
Thpic 5
__________
Topic 5
Multiple-Choice
Test
Name
Mark the best answer.
1. Sara can write 50 thank-you cards
using 1 package of paper. If she
uses 5 packages of paper, how
many thank-you cards can she
write? (5-1)
4. Which shows one way to use
breaking apart to find 5 x 47?
(5-2)
A 5 + 47
=
B 200 + 7
A60
B 250
52
=
207
C 200 + 35
=
235
D 200 + 47
=
247
C 300
D 1,125
2. Mr. Levine bought 6 boxes of
nails. Each box has 123 nails.
Which number sentence shows
the best way to use rounding to
estimate the total number of nails?
(5-3)
A 6 x 200
=
1200
B 6x100=600
C 6 + 200
=
206
D 6+100=106
3. A one-pound bag of soil will
cover about 200 square inches of
garden space. How many square
inches of garden space will
4 pounds cover? (5-1)
5. Charlie’s backyard has 6 gardens
with an average of 38 plants
in each garden. Which is a
reasonable number of plants in
Charlie’s backyard? (5-4)
A 170, because 6 x 48 is about
5 >< 30 = 150
B 195, because 6 x 38 is about
6 x 30 = 180
C 205, because 6 x 48 is about
5 x 40 = 200
D 228, because 6 x 38 is about
6 x 40 = 240
6. There are 6 babies in a nursery.
Each baby weighs between 81
ounces and 96 ounces. Which
could be the total weight of the
6 babies? (5-6)
A 8,000
B 4,000
C 800
D80
C
A 450 ounces
B 480 ounces
C 540 ounces
D 600 ounces
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-o
w
a
(U
U)
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TOpic 5
75
Name
7. Tim wants to visit 193 countries.
He has already visited 97. How
can he find how many more
countries he needs to visit? (5-8)
A add 193to97
B multiply 193 by 3
10. Simon goes to French class
3 days a week. He has been doing
this for 78 weeks. Which is the
best estimate & the number of
days Simon has gone to French
class? (5-3)
A220
C multiply 97 by 193
0 subtract 97 from 193
B240
C300
8. Therearel34peopleina
marching band. Each of them has
8 buttons on his or her uniform.
Which of the following describes
the total number & buttons? (5-7)
A between 700 and 860 buttons
B between 1,000 and
1,200 buttons
C between 1,200 and
1,500 buttons
D350
11. Which shows one way to use
brealdngaparttofind6x 12?
(5-2)
A (6x10)+(6x2)
B (6x10)x(4x3)
C (6x10)+(2x2)
D (3x10)+(2x2)
D between 2,000 and
2,400 buttons
9. Part of the calculation for 7 x 38
is shown below. What partial
product should replace
(5-5)
DU?
AM
B56
C38
D21
38
X7
Un
+210
266
q
I
76
I
TopicS
Name
12. Using the table below, how
would you find the total cost for
you and 3 friends each eating a
hamburger? (5-6)
Hamburger cost
Amount
Cost
1
$1.50
2
$3.00
3
$4.50
A add the total cost of 2
hamburgers to the number
of friends
B multiply the cost of 3
hamburgers by 1
C subtract the cost of 1
hamburger from 3 hamburgers
D multiply the cost of 2
hamburgers by 2
14. A school binder can hold 146
sheets of paper. Tony has 6 full
binders. Which number sentence
shows the best way to use
compatible numbers to estimate
the total number of sheets of
paper Tony has? (5-3)
A 6x200= 1,200
B 6 x 100
C 6 + 146
A 975
B 981
C 1,956
D 2,934
=
152
D 876÷6=146
15. Toni used 36 flowers to make a
large arrangement. Which number
sentence can be used to find
the number of flowers used in 5
arrangements? (5-8)
? Flowers in all
36
13. Last week, 978 cars crossed a
bridge. At this rate, how many
cars would cross the bridge in
3 weeks? (5-7)
600
36
36
36
At Number of flowers
36
in
each arrangement
A 36+5=D
B 36+36=D
C 36x5=D
D 36—5=D
16. A pair of shoes costs 5 times
more than a pair of socks. Socks
cost 234 cents. How much does a
pair of shoes cost? (5-7)
A 2,340 cents
0
-c
U
B 1,170 cents
C 468 cents
0
0
D 239 cents
Topic 5
77
________
__________________
___)
______
Topic 5
Free-Response Test
Name___
Give each answer.
Use basic facts to help you multiply.
Estimate each product by rounding.
1. 40x2
8. 92x4
2. 70x9
9.
5x209
3. 6x400
10. 708x7
4. 5 >< 800
Use mental math and compatible
numbers to solve.
11. Jake collected 36 cans for
Use breaking apart to find each
product mentally.
recycling each dayfor7 days.
How many cans did Jake collect
in all?
.
5, 5x22
(5 ><
)
+ (5 x
)
12. 3x15
6. 8x59
(8 x
Draw an array to show each product.
Write each partial product. Then write
the product.
+ (8 x
)
IiFiit•E.
Use compatible numbers to find each
product mentally.
7. 3 x 58
(3x
)—(3x
C)
C
C
0
Co
C)
0
•0
w
0
Co
CC
C
78
Topic 5
_________
Name
Find each product.
13. 4x22
SI
19.
224
x6
20.
306
Lll
><5
Find each product. Draw a picture if
you need to.
14.
15.
21.
198
x7
33
x2
22.
312
x8
23.
178
x
4
26
X5
Find each product.
16.
17.
81
x9
63
x4
18.
39
x6
24. Writing to Explain Oak Hill
Elementary School has 7 fourth
grade classrooms. Each class
has about 23 students. What
is a reasonable estimate of the
number of fourth graders in Oak
Hill Elementary School?
Explain why.
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-o
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0
U)
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Topic 5
79
____
Name
I
L
Topic 5
Performance
Assessment
Mr. Lopez wants to buy 22 bicycle tires for the school racing
team. He found three different stores that sell racing tires.
F1IANK
Racing Tires:
$18 each
°‘
H/keS
/I\1C,
Tire Sale:
2 for $28
su77JrKz37zs
Special on Tires!
10 for only $160
1. Estimate to find the cost of 22 tires at each store. Show your
calculations in a table like the one below.
Store
Price per Tire
Estimated Price
for 22 Tires
Frank’s
Speed Bikes
Super_Bikes
2. Where should Mr. Lopez buy the tires? Explain.
3. How does the price per tire compare?
4. How will the actual prices of 22 tires compare with the
estimated prices?
5. What else might Mr. Lopez consider when purchasing
the tires
9
80
Topic 5
Actual Prices for
22 Tires