Name
Division Game with Cuisenaire
How Many Equations Can You Write For Each Train?
Example:
.red I red
purple
w, w, w, w
2 reds (2)
442=2
1 purple (4) 4 4 4 = 1
4 whites (1) 4 4 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 + 2 =
3,
30 ^- 2 =
4.
42 + 2 =
5.
18 H- 3 =
6.
36 -^ 3 =
7.
15 -J- 3 =
8.
64 4- 4 =
9 . 45 + 3 =
Each picture shows the result after dividing. Write
the original division problem.
10.
11.
12.
13.
<D
CO
<D
14.
if
15.
c
o
to
5
16.
17.
PS-5
Use with text pages 184-185.
67
= 6Z-7-Z68 [91]
=9i-r26l[Qi\
P£}j LZ [Hi
Z£Q]V£ [til
ZUAZZ [Z\\
63ZJ91 [ll]
= 8f9Zfr (6l
= ^ 3 0 9 (6
8^9)9(8
§e!J9(Z
HCJt^ (9
L5ZJZ (Q
HZJ9 (V
Z*8J9 (8
699J17 (Z
839J8 ( l
eBueiiegp gj. # - A A #
pejmbej o/. # - /. #
:s>jooiq stdueia ;noq;iM uoisiAip Buof Buiop djtnoAy
^ HJOM jnoA >|09qo oj S9|qe; (seuuii) uorjeoiidmniu esn 0} 994 |99j. 9se9|d **
UOISIAIQ
3U4D[S|
= Z-r68 [98]
19|8 [98]
= Z-r6fr (28
= 8t8fr (18.
88(9 [Vtl
IZ1V [88]
82jfr (d8
.98)9 (62
# - ££# peJinbey P£#-6Z#
MOisiAip aiduiis Buiop a/, n o / / /
88)9.[82l
26JZ [Z2]
Z0JJ6 [92]
86J8 [Q2]
= 2l-r86 (i72
= 8-rOZ(£2
69]6(^2
>9[8 (12
8ZJU (02
JJJJ9 (61
89)Z(8I
18J6 (ZI
eBueueqo 8 2 # J : 5 2 #
poJinbey pz#-ll#
:s>iooiq stdU9iQ mm uoisiAip BUOJ Buiop QjtnoAy
/•\» ouan ana nony nave 41 plants
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.
aa
Rr
}"• :C
II!
aa
aQ
a
aQ
aQ
.....
::
1:
3°
a•
. . ..
:::
:::
•••
Cfc:
Qi::
0=:
aa; ••:d
Q-:t
Q
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.
fL
Divide: 4 1 + 3
4
f.
Decide where to place the
first digit of the quotient.
3)41
W*A: 3 < 4
There are enough
tens to divide.
Divide the tens.
Bring down the ones.
Divide the ones.
1
3)41
-3
1
13 R2
3)41 t
-31
11
-_9
2—l
1
Tiiak: 3j4
Multiply. 1 x 3 = 3
Subtract 4 - 3 = 1
Compare. 1 < 3
divisor
dividend
1
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?
4. Why can you multiply to check division?
5. How are Juan's and Holly's methods alike? How are
they different?
6. How does each method show regrouping?
Wak: 3JTT
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
J
Name
Special Quotients
Use mental math to find the quotients. Check your answers
by multiplying.
1. 6 o ^- q = <P-D &D*3=bO 2. 80 - 4 =
3. 40 - ? =
4. 80 - ? =
5. OO - * =
6. 60 - * =
7. 640 - R =
8. 180 - ? =
9. 7 o0 - Q =
10. 270 - ^ =
11. 560 -^ 8 =
12. p o ^- ? =
13. 4P0 ^ 7 =
14. «40 - 6 =
15. 140 - 7 =
16.
17. 300 - 4 =
18. osn ^ s =
19. /|g0 - ^ =
20. 490 - 6 =
21. 630 - Q =
22. oio - 7 =
73. 180 - Q =
24. 300 - 5 =
?5. 150 - "> =
26. 720 - * =
?7. 4QO - 7 =
28. 4*0 -
29. 160 - 4 =
30. 100 -?- ? =
31. 630 - 7 =
32. 280 + 7 =
\
-
)
8 1 0 -*• °
=
•o
ID
>
<D
ui
O
EC
.C
O)
I
c
o
•a
2
33. 07O - Q =
PS-4
Q
=
34. 480 - 8 =
I
Use with text pages 268-269.
Date
flame.
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.
8 ]~32
<
i
.,
•
i
i
*
eights
There are
i
i
-> "In 32,
Write in your guesses for all
the problems.
Check them with your rods.
luess
>
nswer
(i)
Answer
j
c
-i
'
!
I
1
7
Q ) A*)
A•
'ii
X
A:i3"J3r
GU6 3 3
@
y-.» • • •"!
*s 3
Answer
8
Ar.r-Mer
^n
r
8' f>40
G-uess
)
80
Copyright © 1964 by Lore Rasmussen. All rights reserved. Printed in U.S.A. Published b\ Key Curriculum Project, P.O. Box 2304, Berkelev. Calif. 94702
®
27
Guess
Answer
6
48
<9 $
>$ O
*
J-l f
±1 y**-ux
J_/I^A. U V^
w.
Find t h e " t r i c k y " names for 6 .
Make up some more of your own.
50 -5- 5
%
3
Jl8
%
L
6o
24
i
\0
ct'6"
6"
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%|
n
e e• • J - 1 8
Name
What's Your Strategy?
Convince M e !
I;
• ' t; i
1
Look
Marsela and Andrew's class solved the problem 24 •*• 4 =
at their solutions. They each arrived at the same, correct answer, but
they each used different strategies.
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 + ¥ 20 + ¥ . 5
1
I
5+1 =6
•:;: '•-'•
sS
.
3k
2H
-H
20
20
-H
16
12
-H
S
8
H
-H
-H
0
H
frfr B_i
JL
16
-H
12
Solve the problems below. Record your strategy.
IP
1. 30 -r 6
2. 4 2 - 7
3. 63 - 9
H. 2 7 - 3
5. 4 8 - 6
6. 30 -r 10
1
-PARENT N O T E : 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.
It
© Creative Publications
Note to the Teacher: Permission is given to reproduce this page.
Skill Power • 3
85
•1
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. If 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. If 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!
If 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?
Skills Maintenance
Name
Dividing: Deciding Where to Start
m-
Where do you start dividing? Choose the hundreds
place or the tens place.
1
ft
1.
6)740
2.
8)578
3.
9)626
4.
7)597
5.
6)703
6.
6)524
A.
Divide.
s
! 2
7.
9)588
8.
5)371
9.
7)478
10.
8)619
t~v
T3
IO
.
11. 6J500
12. 7)659
13. 8)512
14. 9J686
17. 6)612
18. 4j8l6
°>
SS.
!K
.-it
«
=
to
1£ I.
EBV
<
5 I
»
?
Use mental math to find each quotient.
15. 9)729
PS-5
16. 71284
Use with text pages 188-189.
69