Name
Division Game with Cuisenaire
How Many Equations Can You Write For Each Train?
Example:
.red 1 rerj
purple
w, w, w, w
2 reds (2)
4-^2 = 2
1 purple (4) 4 4 4 = 1
4 whites (1) 4 T 1 = 4
Manipulatives
r>
Name
Dividing Whole Numbers: Making the Connection
Find each quotient using place value blocks. Record
your work using symbols.
1.
60 -s- 4 =
2.
32 -s- 2 =
3.
30 •* 2 =
4.
42 + 2 =
5.
18 -s- 3 =
6.
36 4- 3 =
7.
15 -5- 3 =
8.
64 4- 4 =
9.
45 -5- 3 =
Each picture shows the result a/fer dividing. Write
the original division problem.
10.
11.
12.
13.
•o
o
o
(0
0
DC
m
o>
14.
/o
15.
•o
5
16.
17.
PS-5
Use with text pages 184-185.
67
= 6Z-fZ68[9l]
= 9H~86Z[Sl]
VZULZlnl
Z2QIVZ [£ll
ZU}£Z [21]
6ZZ)8l [III
=Qf9lV
= LTZ09
8 ^ 9 (8
gea s (z
n e j * (9
/9zje (s
HZJ9 (V
Z£9J9 (e
699/fr (Z
939je (I
(6l
(6
afit/a//e£/0 9 l # - A A #
pejmhej oi#- £#
isyfooiq sceuQiQ tnoifliM uoisiAip Buoj duiop ej(noAy
*•¥
>JJOM jnoA >p9ip
oj S9|qe} (SGLUJI) uoijeojidiiiniu 9sn o; 994 |99j 9SB9|cj
UOjSjAIQ
:3UlDfsJ
If you're doing long division with Diene's blocks:
#17-#24 Required
#25-#28 Challenge
17)9181"'
18)7/58
19) 6fsT
20) 11 [78"
21)8161
2?) 9 (69
23)7048 =
24)93-H2 =
[25] 8f93
[26] 9fT07
[27] 7(92
[28] 6f83~
If you're doing simple division:
#29-#34 Required #35 - #
29) 6[36"
3p) 4[28
31)4848 =
32)494-7 =
[33] 4/2?
[34] 6(33
[35] 8|~5T
[36] 394-7 =
*\*
uuan anu nony nave 41 pianrs
to put in 3 boxes. They put the same
number of plants in each box. To
find how many plants will be in each
box, Juan used models.
1^ f\ r\ r^
• • • •
: : : :
• B m m
Crv 'H£* *r^C* rx
•
a id a a a
* • • . •»J J I" K
J ™» •
;:•;:
* - ( :• •> :" " • "
IOE
.t*
-S t Q
lr& *Ki:•IrU
• Q
j • : Q
••
.,;k * "
J j
:: : Q
1!
J*
-r
.... . ....
^
:-
4 i:
Q:':
: : r * : . Q; :
a::
•* : Q
;t ; ; 3 ^ Q Q
iyaiii; Qi :.t
Qi
|
Q; Q
.
.3° %
1. Did Juan regroup? How? Why?
2. How many plants will be in each box?
How many plants will be left over?
B. Holly divided without using models.
Here is what she did.
4
•i-
i
Divide: 4 1 - 5 - 3
Decide where to place the
first digit of the quotient.
3)41
WaJt: 3 < 4
There are enough
tens to divide.
Bring down the ones.
Divide the ones.
Divide the tens.
1
3)41
-3
1
WM*:
1
3)4
Multiply. 1 x 3 = 3
Subtract 4 - 3 = 1
Compare. 1 < 3
13 R2
3j41
-31
11
-_9
2—J
divisor
dividend
i
I
Check. Multiply, then add: 3 x 13 = 39; 39 + 2 = 41
t
t
quotient
remainder
SHARING IDEAS
3. Is the answer reasonable? How do you know?
1 4. Why can you multiply to check division?
I
I
5. How are Juan's and Holly's methods alike? How are
they different?
to.
I
6. How does each method show regrouping?
Wak: 3 j l T
Multiply. 3 x 3 = 9
Subtract 11 - 9 = 2
Compare. 2 < 3
Write the remainder.
Suggested Levels 1 2 3
MULTIPLICATION AND DIVISION
Fill the picture with Base Ten Blocks. Use the flats first, then longs and units.
Write two multiplication and two division sentences. Label each part with these words:
FACTOR FACTOR PRODUCT DIVISOR QUOTIENT
Make up more puzzles like this.
57
) 1990 Activity Resources Co., Inc., P.O. Box 4875, Hayward, CA 94540
DIVIDEND
Mental Math
p
1
Name
Special Quotients
Use mental math to find the quotients. Check your answers
by multiplying.
1. 60 - 3 =
!
m
m
<D
CC
>
O)
CC
c
o
J2
5
=
4. 80 ^- 2
=
5. 90 - 3
=
6. 60 + 6
=
8. 180 + 2 =
9 =
10. 270 H- 3 =
1 1 . 560 H- 8 =
12. 120 H- 2 =
13. 490 -h 7 =
14. 540 H- 6 =
15.
140 H- 7 =
16. 810 -J- 9 =
17. 320 + 4 =
18. 250 + 5 =
19. 480 -^ 6 =
20. 420 -- 6 =
21. 630
=
22. 210 -7 =
23. 180 + 9 =
-5 =
24. 300 -
25. 150 -^ S =
26. 720 - 8 =
27. 490 -^ 7 =
28. 450 - 9 =
29. 160 -=- 4 =
•30. 100 -
31. 630 -=- 7 =
32. 280 - 7 =
33. 270
=- 8 =
34. 480 -
-H
•a
<s
ID
T3
2. 80 4- 4
=
9. 720
-a
&Dx3=kP
3. 40 -H 2
7. 640 +• 8 =
)
2£
c
o
iS
•a
-r- 9
5
J
PS-4
-f- Q
=
Use with text pages 268-269.
2
=
Date
Name.
How many 8 ' s are there in 32?
Make a quick guess and write it—$•
Answer
Guess
Look at this rod picture
to help you find the correct
V
answer.
•
•
i
i
8
32
;
•
i
eights
There are
rn
Write in your guesses for all
"in 32 •
the problems. Check them with your rods.
Answer
G-uess
§
^ •
Guelss-'
9 \ 45
7
2
Gue 3 s
Answer
:
J
'U
A-swe:
A:i3"j'3r
@
^
I
8'K40
Guess
3
Answer
8 ) 80
Copyright © 1964 by Lore Rasmussen. All rights reserved. Printed in U.S.A. Published b\ Key Curriculum Project, P.O. Box 2304, Berkeley. Calif. 94702
®
1
27
Guess
Answer
6
48
9
® •» 9
*
j-r
J.M <-*.l.ll
\S_
XJ<~*. U V--
Find the " t r i c k y " names for 6.
Make up some more of your own.
30 -r 5
%
&
%
2)18
\
60
\0
^ 4
&
'<y
*
<y
Copyright © 1964 by Lore Rasmussen. All rights reserved. Printed in U.S.A. Published by Key Curriculum Project, P. O. Box 2304, Berkeley, Calif. 94702
6*4
1
• 0 •
•
J-18
Name
What's Your Strategy?
Convince M e !
Marsela and Andrew's class solved the problem 24 + 4 =
Look
at their solutions. They each arrived at the same, correct answer, but
they each used different strategies.
iti;.
Marsela explained her strategy.
The teacher recorded it for the
class like this:
Andrew used a different strategy.
The teacher recorded his
explanation like this:
2H- * ¥ -
2H
-H
20
20 *Hn 5
1
12
-H
8
5+1 =6
^^SS^^.
Ik
20
-¥
16
8
-¥
V
16
-H
12
¥
-V
0
a_
Solve the problems below. Record your strategy.
fa
life
1
H US
1. 30 -f 6
2 . 42 -r 7
3 . 63 -r 9
H. 27 4- 3
5. 48 ^ 6
6. 30-r 10
-PARENT NOTE:
Children often add or multiply to arrive at the answer for a division problem.
Their explanation may reveal good reasoning skills and a systematic approach.
© Creative Publications
Note to the Teacher: Permission is given to reproduce this page.
Skill Power • 3
85
Name
Long Division Word Problems!
Solve each problem. Please show your work!
1.
Socks are $4 a pair. Ben has $144 to buy socks. How many
pairs can he buy?
2.
Abbey is going on a tour with 416 people. I f there are 9
people in each tour group, how many groups are there? _
3.
Peter finds 365 cups. They need to be put in boxes. I f he
puts 8 cups a each box, how many boxes are needed?
4.
Hannah has 125 bananas in her kitchen! She decides to make
some banana bread. 3 bananas are need for each loaf of bread.
How many loaves can be made from 125 bananas? _ _ _ ^
5.
Drew wants to join a basketball team with 123 other people!
I f there are only 9 people on each team, how many teams can they
make?
6.
Kathryn has $205. She wants to buy several CDs which cost
$9 each. How many CDs can she buy?
•gW.g«^.Maagaeaa^:^=^:=^
:
Ski lis Maintenance
Name
Dividing: Deciding Where to Start
Where do you start dividing? Choose the hundreds
place or the tens place.
1.
6)740
8)578
3. 9J626
5. 6)703
6. 6J524
:
1
4. 7)597
Divide.
7. 9J588
8. 5)371
7)478
10. 8j6l9
13. 8)512
14. 9J686
17. 6)612
18. 4j8l6
9.
*
^
•a
a
£
a
11.
6)500
12. 7)659
10
s*
<
in
Is
c
I-
IT 5
Use mental math to find each quotient.
15. 9)729
PS-5
16.
7)284
Use with text pages 188-189.
69