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' .
_,kt L',\ v{( Ifll<\f" 1Lra£. nCttS
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RIDDLE: Why Isn't Your Nose Twelve Inches Long?
The answer to this riddle is written in code at the bottom of the page. To break the code,
use rods to work the problems below. If the statement is true, circle the letter in the col­
umn labeled true. If the statement is false, circle the letter in the column labeled false.
Match the circled letters with the problem numbers to decode the answer to the riddle at
the bottom of the page.
Prob.
True False
Statement
Riddle Answer
14115111121711211511
~ bJ 181141141
113115151
5tJ
1311417110191
I·
4
Everything's Coming up Fractions with Cuisenaire Rods
1981 Cuisenaire Company of America, Inc.
Ratios And Equivalent Fractions
Make all the one-color trains for the brown rod by covering the diagram below.
brown
purple
purple
red
w
1w
w
red
red
red
Iw
Iw
w
I
w
w
Example I:
Put a purple rod on top of your rod pattern. Move it up and down and see what it mat­
ches exactly. You should see that purple matches purple, two reds, and four whites. Purple
i of brown. Since red is *of brown, two reds are ~ of brown. Since white is kof brown,
four whites are t of brown. So, the purple rod matches 4, ~, and i of brown. These frac­
is
.
I
. I
.
purple
tIona parts are eqmva ent, so we wnte: - brown
=
1
-2
=
2
4"
=
4
-8'
Example II: Put a dark green rod on top of your rod pattern, Move it up and down, It matches three 3
.
.
6
dark green
3
6
reds (4) and SlX whItes (8)' So b
= 4" = S'
rown
Example III: Put a green rod on top of your rod pattern. Move it up and down. It matches three whites (~), So, green = 3 Al
yellow = 5 and black = 7
brown
8'
so, brown
8
"8
brown
8'
Make all the one-color trains for dark green and complete the problems below.
1)
green _ _
dark green -
rn - 0
2)
red
=
dark green
01
3)
purple
green
4)
yellow
green
dark green
t.., green
L. green
red
w
Iw
red
red
w
I
w
w
Iw
1 _
=
3
9
21
I
More Ratios And Equivalent Fractions
vlake all the one-color trains for (orange & red) and complete the problems below.
orange
red
dark green
dark green
purple
purple
L, green
L. green
w
Iw
L. green
L green
1
red
purple
red
red
red
wlw
wlw
wlw
red
red
w
w
w
!w
dar k green
=
=
(orange & red)
Put a dark green rod on top of your rod pattern. It matches dark
E xamp 1e:
green (!), two i~~~~s (~), three reds (~), and six whites (162)'
dar k green
1
2
6
-3
So
, (orange & red)
"2
'4
6
12'
Problems:
6)
1) purple (orange & red) black
(orange & red)
2) 7) brown
green
(orange & red)
(orange
3)
8)
red
(orange & red)
&
red)
= -=-=­
blue
(orange
&
red)
9)
4) wh'Ite
(orange
&
orange
(orange & red) red)
10) 5)
yellow
(orange & red)
(orange & white) (orange & red) 24 Everything's Coming up Fractions with Cuisenaire RadII
1981 Cuisenaire Company of America, Inc.
RIDDLE: What's More Earth-Shattering Than An Elephant Playing
Hopscotch?
The answer to this riddle is written in code at the bottorl of the page. For problems I - 5,
use Table I to match the problem number with the rod code for the color name of the rod
that makes the sentence true.
Cover the diagram with rods.
Problems:
dark green
green
I) ~ of dark green
t of dark green
3) i of dark green
green
red
2)
red
red
4)
w
w
w
w
w
w
5)
=0
o
=0
~ of dark green =0
i of dark green
o
Table I
.od
des:
White
Red
L0reen
Purple
W
R
1-0
P
Yellow Dark green
D
Y
blacK
5K
browN' bluE
N
I
Orange
0
E
For problems 6-15, find the rods which are the given fractional parts of dark green. Com­
pare these to tell whether the statement in Table II is true or false. CircletEefTist'letter if
the sentence is true. Circle the second letter if the sentence is false. Then match the problem
number with the circled letter.
Table I I
Riddle
Answer
tiE5J i
I
151714141811211411316151711411
938
13
10
6
4
\11121811
28
Everything's Coming up Fractions with Cuisenaire Rods
1981 Cuisenaire Company of America, Inc.
1
Introducing Addition Of Fractions With Rods
Cover the diagram on the left with rods to show the fractional parts of dark green. Note the
white rods help to provide the family name for the dark green family.
w
Family names Other names
Rod color
1
white
The rod patterns for dark green help us add frac­
tions for halves, thirds, and sixths. For addition
of fractions, rods are placed end-to-end, and
then compared to the white rods in the dark
green family.
none
"6
2
1
red
"6
green
"6
purple
4
2
"6
"3
yellow
5
"6
none
"3
1
3
dark green
I
2:
6
6
1
Place a green and red rod end-to-end.
Match with yellow to find the sum.
1
Example I:
1
2: + 3'
I
green
\
+ red
=
1
-L
1
w
~
answer
.
IS
5
"6'
Place a red and white rod end-to-end
Match with green to find the sum.
1
,
Example II:
i,
w
,~
1
Since yellow
5
whites and each
white =
the
yellow
yellow
t
2:' 3' =
red
3" + "6
red
\
w
1-----...1..---1
red + white
green
3 whites or green
I---r---.----I
w
1
1
w
There are two po
ble answers. Gree
3 whites C~) 0;
1
6 .
2"' The answer In
lowest terms is
or
"3 + "6
Use your rods to do these addition problems. \Vrite the rod sentence on the blank lines
below the problem. Write your fraction answers in the
s. Put your amvers in lowest
terms.
1)
~
+
j =
e
+
+
or
33
Everything's Coming up Fractions with Cuisenaire Rods
1981 Cuisenaire Company of America, inc.
!.
Adding Fractions Lsing Rods
Cover the diagram below with rods to show the fractional parts of orange.
w
w
orange
yellow
yellow
red
red
red
red
Use your rods to do each addition problem. \Vrite the rod sentence on the blank lines below
the problem. Write your fraction answers in the8s. Put your answers in lowest terms.
10\ +,Ii"\ = Ii:\. o r 8
\.!.:J' \~ ~ ~
Example: yellow + white
1)
+
+-Lowest terms express the fraction with the
smallest possible numbers.
6 whites or 3 reds
(D=
6)
+
+
2)
ill
3)
+
+ 13"\
or
+
or
\~=
-_.-
4)
(D+
+
/1 \
~
-­
+
,
T
34
Everything's Coming up Fractions with Cuisenaire Rods
e;. 1981 Cuisenaire Company of America, Inc.
or
RIDDLE I: What Coat Is Put On Only When Its Wet?
Make all the one-color trains for (orange & yellow). Use these trains to help solve the
following problems. Match the letter given with each answer to solve the riddle. All answers
have been expressed using the family name, fifteenths.
l)t+3
<)
6) ~ + t =( ) A
=< )T 2)
t + /5 ( )
3)
~ + /5
= (
I
7)
C
)
4) l5 + 13 ~5
8).£
15
Riddle
Answer
w.
I
l!l
7
+..L
15
+
N
=( >0
=( )
~5
P
I
[]ilii] IlQ
8
13
15 15 15
15
=
5) 1.3 +..L
15
15
13
4
8
6
15 15 15 15
RIDDLE II: What Do You Say When You Call Your Dog And He Doesn't
Come?
Make all the one-color trains for (orange & purple). Use these trains to help solve the
following problems. Match the letter given with each answer to solve the riddle. All answers
have been expressed using the family name, fourteenths.
1) 1. + 1.
2
7
2) 1.7 +..L
14 3) 1. + ~
2
7
8
N
4) 1.2 +..L
14
=( ) E 8
5)
~7
+ l14
6) 1.2 + l7
0
=( )
G
=( ) D
=8
Riddle
Answer
5
11
8
8
11
14 14 14 14 14
9
14
3
13
14 14
36
Everything's Coming up Fractions with Cuisenaire Rods
1981 Cuisenaire Company of America, Inc.