> %` bjbjٕ 0$8888TRTTTTTT$h?\xx444
R4R44V@p58.VR0bxvx4xx*
t8t8Garage Clutter
(Ratios and Percentages)
Objective: The goal of the activities is to introduce and explain the concept of ratios and units by associating them to sports items (basketballs, baseballs, and soccer balls). The definitions of a ratio and percentage will be given first along with simple examples. The activities will then follow.
Ratio a proportional relationship; the number of time one number will fit into another.
Percentage a rate or proportion per 100
Step 1. Give each student a set of chips that represent three different sports balls (10 basketballs, 10 baseballs, 5 soccer balls).
Step 2. Give them a sheet of paper representing a garage in which the balls can be stored. The opposite side should represent a shopping cart (explained later).
Step 3. Ask the students to place specific balls in the garage to meet certain ratio requirements. Make sure than students actually move the chips into their garages in order to visually see the relationships. Solve the problems.
Simple Ratio Problems:
Put 2 basketballs and 2 soccer balls in the garage. What is the basketball to soccer ball ratio? What is the percentage of basketballs to all balls?
Place four basketballs in the garage. How many baseballs do we need to add in order to make the basketball to baseball ratio a 1:1? What is the percentage of baseballs to all balls?
We now have 4 basketballs and 4 baseballs in the garage. If 2 baseballs get lost, what is the basketball to baseball ratio? What is the percentage of baseballs to all balls?
Place 8 soccer balls in the garage. How many baseballs do I need to add in order to have a soccer ball to baseball ratio of 4:1? What is the percentage of soccer balls to all balls?
Place 6 baseballs and 3 basketballs in the garage. How many soccer balls to I need to add in order to have a baseball to soccer ball ratio of 3:2? What is the percentage of baseballs to all balls?
A soccer ball and a baseball are used on grass, while basketballs are used on a court. Place 4 baseballs and 6 basketballs in the garage. If we add 2 soccer balls to the garage, what is the ratio of balls that are used on courts to balls that are used on grass?
Step 4. We will now concentrate on unit ratios by going shopping for more balls. Have the students turn over the garage paper to the shopping cart side and explain than each chip now represents items we want to buy. Solve the problems using the price list provided.
Sports Mart
Basketball: $7.00 each
Baseball: $3.50 each
Soccer ball: $14.00 each
Unit Ratio Problems:
If one basketball weighs 2 lbs., what is the cost per pound?
Place one Baseball and five Soccer balls in the cart. What percentage of our items are Soccer balls?
If one baseball weighs 0.5 lbs, what is the cost per pound?
We have $100 in our pocket. If we buy 5 basketballs and 2 soccer balls, how much money will we have left over?
How many Baseballs can we buy if we have just enough to buy 2 Soccer balls?
If Baseballs go on sale for half off, what would they cost?
If we buy 3 baseballs, 3 basketballs, and 8 soccer balls, what percentage of our total items will be basketballs?
The manager of Sports Mart has decided to give us a discount and sell us 6 basketballs for $36.00. What is the cost per basketball?
&'(
B
C
[
\
a

H &',4:HRVah
!
U
c
n
u
~
h hhe h#h<_eh3ahDhhhG OhCJ$
h3aCJ$
hCJ$
hCJ$L()W X e
f
T
U
^gd<_eh^hgd<_e
&Fgd<_e$a$gd$a$gd
&1:_jnv(04?M #+1H!:Od˿h@#CJ$aJ$hDCJ$aJ$hhip>*CJ$aJ$h>*CJ$aJ$h^T:>*CJ$aJ$hiphh'he h<_eh<_eh<_ehhDC?@ST
&Fgd^gd'
&Fgd'gd
&Fgd<_e^gd<_e
&Fgd' ?@AJR\gi}()ST]eg}STѽѹѹhx<hm]h*Oh+?hahd+h'hDhThhh@#CJ$aJ$hDCJ$aJ$hhCJ$aJ$6TST^gd'
&Fgd.:p'/ =!"#$%666666666vvvvvvvvv666666>6666666666666666666666666666666666666666666666666hH666666666666666666666666666666666666666666666666666666666666666666@@@}1NormalCJ_HaJmH sH tH DA@D
Default Paragraph FontRi@RTable Normal4
l4a(k@(
No List@O@G O List Paragraph ^m$
$()WXef
TU!!!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+!+()WXef
00000000000000p 8bp 00p 8bp MР0000()WXef
TU
?
@
STST0000000000000000 00 00 00 00 00 0000000000000 00 00 00 00 00 00 00 0
T
33)i"UN 70o. u9iF,N{zr.d#8^8`o()^`. L^ `L.^`.x^x`.HL^H`L.^`.^`.L^`L.^`o()
^`hH.
pLp^p`LhH.
@@^@`hH.
^`hH.
L^`LhH.
^`hH.
^`hH.
PLP^P`LhH.88^8`OJPJQJ^J)
^`hH.
L ^ `LhH.
^`hH.
xx^x`hH.
HLH^H`LhH.
^`hH.
^`hH.
L^`LhH.7{zr u9i$ќ O: +?aD'=!)^T:x<8W<_eip}3ae *Od+ Tm]#@#@!@UnknownGz Times New Roman5Symbol3&z ArialMCambriaCalisto MT hzʆzʆ
$hh24
J#QHP(?'G O2Pet ParadisebryanisdndeanOh+'0Դ
(4
@LT\dlPet ParadisebryanisdNormalndean2Microsoft Office Word@@L5@L5
G`VT$m Y&" WMFCp ^~lUT#m EMF~$I*U"
%Rpj@Calisto MT=Calist MThhvj0vLN0vdv%T,/@@LhGarage Clutter{J5JJE&l(SE5TT,/@@LP CTx/@@dL\(Ratios0lJ*Q:T/@@dLl and Percentages&JSQ&\E6CESJJD:TT
/@@dLP)0TT
I
/@@
dLP CRp@Calisto MT=Calist MTvv=vvj0vLN0vdv%TT/@@LP T\l/@@VXLObjective: The goal of the activities is to introduce and explain the concept of ratios O3.2.B7.16167.12.''77$677.176.45177/68.56#17&Tlm/@@LXand u1767Tm/@@LLnits by associating them to sports items (basketballs, baseballs, and soccer7&341'&61827.U6&57#'.U& 41&3.31&31&.31&186&6.$TTm/@@LP TpS/@@=LXballs)31& TpS/@@=LX. TheB7.TvS/@@=Ld definition6.768TTwS/@@w=LPs&TLS/@@=Ld of a ratio 71#17TM S/@@M= L`and perce1765.#.Tp
S/@@ =LXntage 711.T0
S/@@
=&Lwill be given first along with simple L3.12.8$&2671L7&T5.THT /@@*Lexamples. The activities will then follow..41T5.&B7.12.'L7.776LTT T /@@ LP .TT9/@@#LP Tp;/@@LXRatio H16TT;!/@@LP 2T";/@@"JL a proportional relationship; the number of time one number will fit into 25$656#671$.167&757/77T3/$6T.67.78T3.#M77Tg /@@
L`another. 1767.#TTh /@@h
LP .TT"/@@~LP T/@@LdPercentage >.#.711.TT/@@LP 2TT /@@LP T! /@@!La rate or proportion per 1001$1.7#6#656#675.#333TT /@@ LP .TT {/@@eLP TF/@@!LStep 1. Give each student a set o7.53R2..17&76/71&.6TdG/@@GLTf ch7T1
/@@ L`ips that 6&71TT2
T
/@@2
LPr#THU
/@@U
*Lepresent three different sports balls (10 .6#.&.77#..6.#.7&66#'31' 34Ta/@@K
L`basketball31&3.31TTa/@@KLPs&Tna/@@KL, 10 baseballs, 5 soccer3332&.31'3&6.#TToa/@@oKLP TlH a/@@KLXballs31&T`I a&" WMFC >~/@@I KLT). TT a/@@ KLP .TTc/@@LP TH /@@2 LxStep 2. Give them a sh7.53R2.7/T2&7TH /@@2 ?Leet of paper representing a garage in which the balls can be /.6525.##.5#.&.7711211#11.27L787/31'173.TpJ /@@ LXstored&6#.6TJ M /@@ ?L. The opposite side should represent a shopping cart (explainedB7.6557&.&7.&7676#.5#.&.71&7755711# .4517.6TNJ ^ /@@N L\ later).1.# TT_J /@@_ LP .TT /
/@@
LP T1
/@@
LpStep 3. Ask the st7.53N&37.'TT1
/@@
,Ludents to place specific balls in the garage76.7'661.&5..31'87.12#11.T1
0
/@@
L to meet certain ratio 7T...#17#16T
/@@!Lrequirements. Make sure than stud#.47#.T.7&a13/&8$.717&76T
r/@@Lents actually move the .8'1713T62.7/Ts
/@@sLpchips into their 75'777.#Tp
/@@LXgarage11#11/Tl
/@@LXs in &8T<# /@@s(Lorder to visually see the relationships.6#6.$62&714&..7/#.168&76&T$ /@@$ sLt Solve the problems.762.7/5#63.U&TT}/@@}sLP .TT/@@LP Tp/@@ZLlSimple Ratio Pr7T5.H16>#Txp/@@ZL\oblems:63/T&TTp/@@ZLP %TXr/@@LP1)3 Rp@"ArialMLdv0 0Pv2%0^'!2Idv0v%!00v@̪00Y0v@̪03&z Arial!0@̪0!<<Pvj0PvLN0hvdv%TTt/@@LP C%Tpr/@@LXPut 2 >73Tr/@@Ldbasketballs31&3.31&Txr/@@L\ and 2 1764Tpr /@@LXsoccer&6.#TT r /@@ LP Tl r /@@ LXballs31&T r
/@@ L\ in the 87/Tp
r/@@
LXgarage11#12.TrI/@@Lh. What is the h71'7.TIr/@@J
L`basketball32&3.31Tdru/@@LT to 6!"TW
/@@A
Ldsoccer ball&6.#31TxW
/@@A
L\ ratio?#16'TW
/@@A
4L What is the percentage of basketballs to all balls?h71&7/5.#.711.732&4.31&6131'&TT(W
/@@A
LP .!"TTY
/@@
LP %TX
>/@@(LP2)3 %TT
=/@@(LP C%T
>/@@(LdPlace four >1.67#T
>/@@(Ldbasketballs32&3.31'T
>/@@(L\ in the 87.Tp
>/@@(LXgarage12#11.T
>/@@ (L&" WMFC ~d. How many P6MT273T
>/@@
( L`baseballs31&.31&T
>/@@
(Lt do we need to add 66L/7..66166!"T?/@@Lxin order to make the 76$6.#6T13.7/TX?/@@LPba31T?. /@@L\sketball'3.31Td/ ? /@@/ LT to 7T ?/@@ L\baseball31&.31T ?/@@
Lh ratio a 1:1?#17133'T?/@@L What is the percentage h71'7.5/#.711.!"T%/@@Lof baseballs to all balls?631&.31&6131&'TT%/@@LP !"TT&/@@LP %TX/@@LP3)3 %TT/@@LP C%T/@@LhWe now have 4 h.76L712.3T/@@Ldbasketballs32&3.41&Tx /@@L\ and 4 1864T */@@ L`baseballs31&.31&T+M/@@+L\ in the 87.TpNb
/@@NLXgarage11#11.Txc
@/@@c
L\. If 2 %3T@/@@A L`baseballs32&.31'Tlj/@@LX get 1.!"Td
/@@iLTlost6&T
/@@iLh, what is the L71&7.T
m/@@i
L`basketball32&3.41Tdn
/@@niLT to 7T
G
/@@iL\baseball31&.31TxH
K/@@H
iL\ ratio?#17&TTL
e/@@LiLP Tf
/@@fiLWhat is the percentage of h81'7.5/#.711.6!"T4/@@Lxbaseballs to all ball31&.31&6131TX5/@@5LPs?&&TT/@@LP .!"TTf/@@PLP %TXg/@@LP4)3 %TTi/@@LP C%Tgc/@@L\Place 8 >1.3TdgD/@@dLdsoccer balls&6.#31&TEgg/@@EL\ in the 77.Tphg /@@hLXgarage11#11.T} g/@@} Ld. How many P6LT173Tg
/@@ L`baseballs41&.31&T
gq/@@
Lx do I need to add in 66%7..671767!"TM/@@7Llorder to have a 6#6.$6712.1ThM/@@7Ldsoccer ball&6.#41TdiM/@@i7LT to 7TB
M/@@7L\baseball31&.31TC
PM/@@C
7Lh ratio of 4:1?#17633&TTQiM/@@Q7LP TjM/@@j7LWhat is the percentage of h72&7/5.#.721.6!"TN/@@Lsoccer balls to all balls?&6.#31&6131&&TTN/@@LP .!"TT4/@@LP %TX5/@@LP5)3 %TT7/@@LP C%T5c/@@L\Place 6 >1.3T&WMFC~c5/@@d L`baseballs31&.31'Tx5/@@L\ and 3 1773T5 /@@Ldbasketballs31&3.31'T 5
/@@ L\ in the 77.Tp
5/@@
LXgarage11$12.T5'/@@Ld. How many P6LT173T(5/@@( L`soccer ba&6.#31T`5/@@LTlls&Tp 5/@@ LX to I 7%!"T /@@Lneed to add in order to have a 7..6626677#6.$6712.1T s
/@@! L\baseball32&.31Tdt
/@@t
LT to 7T
/@@
Ldsoccer ball'6.#31T/@@Lh ratio of 3:2?#17633'T/@@
Lh What is the h71'7.!"T, /@@x%Lpercentage of baseballs to all balls?5.#.711.641&.31'6132'&TT /@@ xLP .!"TT/@@LP %TXu/@@_LP6)3 %TTt/@@_LP C%T:u/@@_
LhA soccer ballM&6.$31TT;Su/@@;_LP TTu/@@T_BLand a baseball are used on grass, while basketballs are used on a 276231&/311#.7&.7672#1'&L7.31&3.31&2#.8'.6672!"Txv)/@@L\court. 67#T*vt/@@*L\Place 4 >1.4Ttv/@@u L`baseballs31&.31&Txv
/@@L\ and 6 1763T
v
/@@ Ldbasketballs32&3.31&Tl
vz/@@
LX in t8T`zv/@@zLThe 7.Tpv
/@@LXgarage11#11.T
v5/@@
Lh. If we add 2 %L.2664Tx6vW/@@6L\soccer &6..#!"Tl\/@@FLXballs31&T\/@@FL\ to the 67/Tp\/@@FLXgarage11#11.Ty
\/@@FL, what is the ratio of L72'7.#176T8y
s\/@@z
F'Lballs that are used on courts to balls 31'711#.8&.66768#&741&!"T]/@@Lthat are used on grass?711#/7&.7681#2&'&TT]/@@LP .!"TTC/@@LP %666666666666666666666666666666666666 6 66 6
6
66
6
66666666
6
66
6
66666666666666666666 ."System@Calisto MT 2
C<Garage Clutter
2
C h
2
](Ratios
#2
]R and Percentages
2
])h
2
] h
@Calisto MT
2
pr h2
rXObjective: The goal of the activities is to introduce and explain the concept of ratios
2
rand uo}2
Lnits by associating them to sports items (basketballs, baseballs, and soccer
2
m h2
rballs)2
. The
2
definition
2
sh2
of a ratio 2
C and percei2
ntage D2
&will be given first along with simple
J2
r*examples. The activities will then follow.
2
y h
2
r h2
rRatio
2
hz2
J a proportional relationship; the number of time one number will fit into
2
r another.
2
h
2
r h2
rPercentage
2
h
2
h52
a rate or proportion per 100
2
y h
2
!r h=2
2r!Step 1. Give each student a set om 2
2Bf ch 2
2Z ips that
2
2rhJ2
2*epresent three different sports balls (10 2
Dr
basketball
2
Dsh/2
D, 10 baseballs, 5 soccer
2
DH h2
DLballs 2
Di).
2
Dw h
2
Ur h,2
grStep 2. Give them a sh
j2
g?eet of paper representing a garage in which the balls can be 2
yrstored j2
y?. The opposite side should represent a shopping cart (explained
2
y later).
2
yV h
2
r h&2
rStep 3. Ask the stM2
,udents to place specific balls in the garage .2
to meet certain ratio r
=2
r!requirements. Make sure than stud
.2
Qents actually move the r
%2
chips into their e 2
Igarage2
ss in eG2
r(order to visually see the relationships. )2
d Solve the problems.
2
h
2
r h"2
rSimple Ratio Pr 2
oblems:.
2
h2
1)@"Arial
2
h2
Put 2 2
basketballs2
and 2 . 2
7soccer
2
_ h2
cballsr2
in the 2
garage 2
. What is the 2
,
basketball2
l to ,'2
soccer ballh 2
ratio? Y2
4 What is the percentage of basketballs to all balls?
2
G h,'
2
h2
(2)
2
( h2
(Place four 2
(basketballs2
(* in the 2
(Vgarage2
(. How many 2
( baseballsy(2
( do we need to add ,'+2
:in order to make the
2
:&ba2
:5sketball2
:f to 2
:zbaseball2
:
ratio a 1:1?/2
: What is the percentage ,'22
Lof baseballs to all balls?
2
L5 h,'
2
]r h2
o3)
2
o h 2
oWe now have 4 2
obasketballs 2
oN and 4 l 2
oy baseballsl2
o in the 2
ogarage2
o . If 2 2
o+ baseballsl2
od get 2,'2
lost 2
, what is the 2
basketball2
H to 2
]baseball2
ratio?l
2
h22
What is the percentage of ,'+2
baseballs to all ball 2
s?
2
$ h,'
2
r h2
4)
2
h2
Place 8 2
soccer balls2
in the 2
Ggarage2
q. How many s2
baseballsy+2
do I need to add in ,'#2
order to have a 2
soccer ballv2
G to 2
\baseball 2
ratio of 4:1?
2
h22
What is the percentage of ,'22
soccer balls to all balls?
2
4 h,'
2
r h2
5)
2
h2
Place 6 2
baseballs2
and 3 2
7basketballs2
 in the 2
garage2
. How many
2
' soccer bay2
blls2
p to I ,':2
need to add in order to have a 2
cbaseball2
to 2
soccer ball 2
ratio of 3:2? 2
?
What is the ?,'C2
%percentage of baseballs to all balls?
2
~ h,'
2
0r h2
B6)
2
B h2
B
A soccer ball
2
B hn2
BBand a baseball are used on grass, while basketballs are used on a ,'2
Tcourt. l2
TPlace 4 2
T baseballs2
T5 and 6 2
T`basketballs2
T in t62
The 2
Tgarage 2
T. If we add 2 2
TPsoccer ,'2
eballsr2
e to the 2
egarage.2
e, what is the ratio of F2
e'balls that are used on courts to balls ,'.2
wthat are used on grass?
2
w0 h,'
2
r h՜.+,0hp
$Bryan Independent School District'
Pet ParadiseTitle
!"#$%&'()+,./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{}~Root Entry FY5Data
1TableWordDocument0$SummaryInformation(*DocumentSummaryInformation8CompObjq
FMicrosoft Office Word Document
MSWordDocWord.Document.89q