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.5%;
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ze:178%;
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n></div>
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 <div style=3D'position:absolute;top:9.5%;left:4.49%;width:102.62%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two relat=
ed
 quantities stated side by side is called a </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#F31736;mso-fareast-language:ZH-CN'><i>ratio=
</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <span style=3D'position:absolute;top:14.75%;left:4.49%;width:103.18%;heigh=
t:
 5.25%'><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-=
CN'>For
 example, if a recipe calls for 3 eggs for 4 cups of flour, </span></span><=
span
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><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>then the =
ratio of
 eggs to flour is 3 to 4. </span></span></div>
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9.0%;
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st-font-family:
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4.5%;
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st-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:156%;mso-fareast-language:
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guage:
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 <div v:shape=3D"_x0000_s197641" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:37.64%;width:27.34%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s197652" class=3DO>
 <div style=3D'position:absolute;top:9.5%;left:4.49%;width:102.62%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two relat=
ed
 quantities stated side by side is called a </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#F31736;mso-fareast-language:ZH-CN'><i>ratio=
</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <span style=3D'position:absolute;top:14.75%;left:4.49%;width:103.18%;heigh=
t:
 5.25%'><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-=
CN'>For
 example, if a recipe calls for 3 eggs for 4 cups of flour, </span></span><=
span
 style=3D'position:absolute;top:20.0%;left:4.49%;width:107.49%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>then the =
ratio of
 eggs to flour is 3 to 4.<span style=3D'mso-spacerun:yes'>&nbsp; </span>We =
may
 write it using </span></span><span style=3D'position:absolute;top:25.5%;
 left:4.49%;width:91.38%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
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onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
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 width:8.05%;height:2.25%'><![endif]>
 <div v:shape=3D"_x0000_s198663" class=3DO style=3D'position:absolute;top:2=
9.75%;
 left:24.71%;width:9.92%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>eggs </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-=
language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s198664" class=3DO style=3D'position:absolute;top:3=
5.5%;
 left:18.53%;width:23.03%;height:5.25%'><span lang=3DEN-US style=3D'mso-far=
east-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
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-fareast-language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s198665" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:37.64%;width:27.34%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s198676" class=3DO>
 <div style=3D'position:absolute;top:9.5%;left:4.49%;width:102.62%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two relat=
ed
 quantities stated side by side is called a </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#F31736;mso-fareast-language:ZH-CN'><i>ratio=
</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <span style=3D'position:absolute;top:14.75%;left:4.49%;width:103.18%;heigh=
t:
 5.25%'><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-=
CN'>For
 example, if a recipe calls for 3 eggs for 4 cups of flour, </span></span><=
span
 style=3D'position:absolute;top:20.0%;left:4.49%;width:107.49%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>then the =
ratio of
 eggs to flour is 3 to 4.<span style=3D'mso-spacerun:yes'>&nbsp; </span>We =
may
 write it using </span></span><span style=3D'position:absolute;top:25.5%;
 left:4.49%;width:91.38%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 mso-fareast-language:ZH-CN'>fractional notation as:</span></span></div>
</p:slide></div>

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9.0%;
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st-font-family:
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 <div v:shape=3D"_x0000_s199687" class=3DO style=3D'position:absolute;top:2=
9.75%;
 left:24.71%;width:9.92%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>eggs </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-=
language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s199688" class=3DO style=3D'position:absolute;top:3=
5.5%;
 left:18.53%;width:23.03%;height:5.25%'><span lang=3DEN-US style=3D'mso-far=
east-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>cups of flour </span><span lang=3DEN-US style=3D'font-size:133%;mso=
-fareast-language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s199689" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:37.64%;width:27.34%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s199690" class=3DCB style=3D'text-align:left'><span
 style=3D'position:absolute;top:41.25%;left:5.24%;width:106.17%;height:5.25=
%'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>This fraction is also the amount of </span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Garamond;font-size:75%;color:#F31736;mso-fa=
reast-language:
 ZH-CN'>per unit</span><span lang=3DEN-US style=3D'mso-hansi-font-family:Ga=
ramond;
 font-size:75%;mso-fareast-language:ZH-CN'> of the given ratio, </span></sp=
an><span
 style=3D'position:absolute;top:46.25%;left:5.24%;width:91.57%;height:5.5%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>in this case, </span><span lang=3DEN-US style=3D'font-family:Garamo=
nd;
 mso-hansi-font-family:Garamond;font-size:75%;mso-fareast-language:ZH-CN'>&=
frac34;</span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'> egg / </span><span lang=3DEN-US style=3D'mso-hansi-font-family:Gar=
amond;
 font-size:75%;color:#F31736;mso-fareast-language:ZH-CN'>per cup of flour</=
span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>.</span><span lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;
 font-size:50%;color:#009999;mso-color-index:6;position:relative;top:.37em;
 mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-format:lastCR;
 display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s199701" class=3DO>
 <div style=3D'position:absolute;top:9.5%;left:4.49%;width:102.62%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two relat=
ed
 quantities stated side by side is called a </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#F31736;mso-fareast-language:ZH-CN'><i>ratio=
</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <span style=3D'position:absolute;top:14.75%;left:4.49%;width:103.18%;heigh=
t:
 5.25%'><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-=
CN'>For
 example, if a recipe calls for 3 eggs for 4 cups of flour, </span></span><=
span
 style=3D'position:absolute;top:20.0%;left:4.49%;width:107.49%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>then the =
ratio of
 eggs to flour is 3 to 4.<span style=3D'mso-spacerun:yes'>&nbsp; </span>We =
may
 write it using </span></span><span style=3D'position:absolute;top:25.5%;
 left:4.49%;width:91.38%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 mso-fareast-language:ZH-CN'>fractional notation as:</span></span></div>
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<title>Rational Expressions</title>
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9.75%;
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ast-font-family:
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 ZH-CN'>eggs </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-=
language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
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5.5%;
 left:18.53%;width:23.03%;height:5.25%'><span lang=3DEN-US style=3D'mso-far=
east-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
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-fareast-language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
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.5%;
 left:37.64%;width:27.34%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s200714" class=3DCB style=3D'text-align:left'><span
 style=3D'position:absolute;top:41.25%;left:5.24%;width:106.17%;height:5.25=
%'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>This fraction is also the amount of </span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Garamond;font-size:75%;color:#F31736;mso-fa=
reast-language:
 ZH-CN'>per unit</span><span lang=3DEN-US style=3D'mso-hansi-font-family:Ga=
ramond;
 font-size:75%;mso-fareast-language:ZH-CN'> of the given ratio, </span></sp=
an><span
 style=3D'position:absolute;top:46.25%;left:5.24%;width:91.57%;height:5.5%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>in this case, </span><span lang=3DEN-US style=3D'font-family:Garamo=
nd;
 mso-hansi-font-family:Garamond;font-size:75%;mso-fareast-language:ZH-CN'>&=
frac34;</span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'> egg / </span><span lang=3DEN-US style=3D'mso-hansi-font-family:Gar=
amond;
 font-size:75%;color:#F31736;mso-fareast-language:ZH-CN'>per cup of flour</=
span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>.</span><span lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;
 font-size:50%;color:#009999;mso-color-index:6;position:relative;top:.37em;
 mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-format:lastCR;
 display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s200715" class=3DO style=3D'position:absolute;top:5=
2.25%;
 left:5.05%;width:94.0%;height:5.25%'><span lang=3DEN-US style=3D'font-size=
:133%;
 mso-fareast-language:ZH-CN'>Two ratios that are equal are said to be in </=
span><span
 lang=3DEN-US style=3D'font-size:133%;color:#F31736;mso-fareast-language:ZH=
-CN'><i>proportion</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. </span>=
</div>
 <div v:shape=3D"_x0000_s200725" class=3DO>
 <div style=3D'position:absolute;top:9.5%;left:4.49%;width:102.62%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two relat=
ed
 quantities stated side by side is called a </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#F31736;mso-fareast-language:ZH-CN'><i>ratio=
</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <span style=3D'position:absolute;top:14.75%;left:4.49%;width:103.18%;heigh=
t:
 5.25%'><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-=
CN'>For
 example, if a recipe calls for 3 eggs for 4 cups of flour, </span></span><=
span
 style=3D'position:absolute;top:20.0%;left:4.49%;width:107.49%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>then the =
ratio of
 eggs to flour is 3 to 4.<span style=3D'mso-spacerun:yes'>&nbsp; </span>We =
may
 write it using </span></span><span style=3D'position:absolute;top:25.5%;
 left:4.49%;width:91.38%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 mso-fareast-language:ZH-CN'>fractional notation as:</span></span></div>
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sition:absolute;
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  <v:fill color2=3D"white [0]"/>
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  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s201734"
 src=3D"slide0127_image013.gif" style=3D'position:absolute;top:37.0%;left:3=
8.2%;
 width:8.05%;height:2.25%'><![endif]>
 <div v:shape=3D"_x0000_s201735" class=3DO style=3D'position:absolute;top:2=
9.75%;
 left:24.71%;width:9.92%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>eggs </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-=
language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s201736" class=3DO style=3D'position:absolute;top:3=
5.5%;
 left:18.53%;width:23.03%;height:5.25%'><span lang=3DEN-US style=3D'mso-far=
east-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>cups of flour </span><span lang=3DEN-US style=3D'font-size:133%;mso=
-fareast-language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s201737" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:37.64%;width:27.34%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s201738" class=3DCB style=3D'text-align:left'><span
 style=3D'position:absolute;top:41.25%;left:5.24%;width:106.17%;height:5.25=
%'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>This fraction is also the amount of </span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Garamond;font-size:75%;color:#F31736;mso-fa=
reast-language:
 ZH-CN'>per unit</span><span lang=3DEN-US style=3D'mso-hansi-font-family:Ga=
ramond;
 font-size:75%;mso-fareast-language:ZH-CN'> of the given ratio, </span></sp=
an><span
 style=3D'position:absolute;top:46.25%;left:5.24%;width:91.57%;height:5.5%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>in this case, </span><span lang=3DEN-US style=3D'font-family:Garamo=
nd;
 mso-hansi-font-family:Garamond;font-size:75%;mso-fareast-language:ZH-CN'>&=
frac34;</span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'> egg / </span><span lang=3DEN-US style=3D'mso-hansi-font-family:Gar=
amond;
 font-size:75%;color:#F31736;mso-fareast-language:ZH-CN'>per cup of flour</=
span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>.</span><span lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;
 font-size:50%;color:#009999;mso-color-index:6;position:relative;top:.37em;
 mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-format:lastCR;
 display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s201739" class=3DO>
 <div style=3D'position:absolute;top:52.25%;left:5.05%;width:94.0%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two ratio=
s that
 are equal are said to be in </span><span lang=3DEN-US style=3D'font-size:1=
33%;
 color:#F31736;mso-fareast-language:ZH-CN'><i>proportion</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <div style=3D'position:absolute;top:57.5%;left:5.05%;width:89.88%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Thus &quo=
t;3 to
 4&quot; is proportion to &quot;6 to 8&quot; since</span></div>
 </div>
 <div v:shape=3D"_x0000_s201740" class=3DO style=3D'position:absolute;top:6=
4.0%;
 left:40.82%;width:3.55%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>3 </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-lan=
guage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s201741" class=3DO style=3D'position:absolute;top:6=
8.75%;
 left:41.01%;width:3.55%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>4 </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-lan=
guage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
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 <div v:shape=3D"_x0000_s201743" class=3DO style=3D'position:absolute;top:6=
6.5%;
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ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
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anguage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s201744" class=3DO style=3D'position:absolute;top:6=
4.0%;
 left:49.25%;width:3.55%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>6 </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-lan=
guage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s201745" class=3DO style=3D'position:absolute;top:6=
8.75%;
 left:49.62%;width:3.55%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>8 </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-lan=
guage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
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0.875pt"
  to=3D"373.5pt,370.875pt" strokecolor=3D"black [1]" strokeweight=3D"2.25pt=
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  <v:shadow color=3D"gray [2]"/>
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875pt;
  top:45.75pt;width:671.125pt;height:122.25pt;mso-wrap-style:square;
  v-text-anchor:top' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s201746"
 src=3D"slide0127_image015.gif" style=3D'position:absolute;top:68.5%;left:4=
8.12%;
 width:4.11%;height:.75%'><![endif]>
 <div v:shape=3D"_x0000_s201749" class=3DO>
 <div style=3D'position:absolute;top:9.5%;left:4.49%;width:102.62%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two relat=
ed
 quantities stated side by side is called a </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#F31736;mso-fareast-language:ZH-CN'><i>ratio=
</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <span style=3D'position:absolute;top:14.75%;left:4.49%;width:103.18%;heigh=
t:
 5.25%'><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-=
CN'>For
 example, if a recipe calls for 3 eggs for 4 cups of flour, </span></span><=
span
 style=3D'position:absolute;top:20.0%;left:4.49%;width:107.49%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>then the =
ratio of
 eggs to flour is 3 to 4.<span style=3D'mso-spacerun:yes'>&nbsp; </span>We =
may
 write it using </span></span><span style=3D'position:absolute;top:25.5%;
 left:4.49%;width:91.38%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 mso-fareast-language:ZH-CN'>fractional notation as:</span></span></div>
</p:slide></div>

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 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s202758"
 src=3D"slide0128_image018.gif" style=3D'position:absolute;top:37.0%;left:3=
8.2%;
 width:8.05%;height:2.25%'><![endif]>
 <div v:shape=3D"_x0000_s202759" class=3DO style=3D'position:absolute;top:2=
9.75%;
 left:24.71%;width:9.92%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>eggs </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-=
language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s202760" class=3DO style=3D'position:absolute;top:3=
5.5%;
 left:18.53%;width:23.03%;height:5.25%'><span lang=3DEN-US style=3D'mso-far=
east-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>cups of flour </span><span lang=3DEN-US style=3D'font-size:133%;mso=
-fareast-language:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s202761" class=3DO style=3D'position:absolute;top:1=
.5%;
 left:37.64%;width:27.34%;height:6.75%'><span lang=3DEN-US style=3D'font-si=
ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s202762" class=3DCB style=3D'text-align:left'><span
 style=3D'position:absolute;top:41.25%;left:5.24%;width:106.17%;height:5.25=
%'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>This fraction is also the amount of </span><span lang=3DEN-US
 style=3D'mso-hansi-font-family:Garamond;font-size:75%;color:#F31736;mso-fa=
reast-language:
 ZH-CN'>per unit</span><span lang=3DEN-US style=3D'mso-hansi-font-family:Ga=
ramond;
 font-size:75%;mso-fareast-language:ZH-CN'> of the given ratio, </span></sp=
an><span
 style=3D'position:absolute;top:46.25%;left:5.24%;width:91.57%;height:5.5%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>in this case, </span><span lang=3DEN-US style=3D'font-family:Garamo=
nd;
 mso-hansi-font-family:Garamond;font-size:75%;mso-fareast-language:ZH-CN'>&=
frac34;</span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'> egg / </span><span lang=3DEN-US style=3D'mso-hansi-font-family:Gar=
amond;
 font-size:75%;color:#F31736;mso-fareast-language:ZH-CN'>per cup of flour</=
span><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:75%;mso-far=
east-language:
 ZH-CN'>.</span><span lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;
 font-size:50%;color:#009999;mso-color-index:6;position:relative;top:.37em;
 mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-format:lastCR;
 display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s202763" class=3DO>
 <div style=3D'position:absolute;top:52.25%;left:5.05%;width:94.0%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two ratio=
s that
 are equal are said to be in </span><span lang=3DEN-US style=3D'font-size:1=
33%;
 color:#F31736;mso-fareast-language:ZH-CN'><i>proportion</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <div style=3D'position:absolute;top:57.5%;left:5.05%;width:89.88%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Thus &quo=
t;3 to
 4&quot; is proportion to &quot;6 to 8&quot; since</span></div>
 </div>
 <div v:shape=3D"_x0000_s202764" class=3DO style=3D'position:absolute;top:6=
4.0%;
 left:40.82%;width:3.55%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>3 </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-lan=
guage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s202765" class=3DO style=3D'position:absolute;top:6=
8.75%;
 left:41.01%;width:3.55%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>4 </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-lan=
guage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
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 </v:shape><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s202766"
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 width:4.11%;height:.75%'><![endif]>
 <div v:shape=3D"_x0000_s202767" class=3DO style=3D'position:absolute;top:6=
6.5%;
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ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>=3D </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-l=
anguage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s202768" class=3DO style=3D'position:absolute;top:6=
4.0%;
 left:49.25%;width:3.55%;height:5.25%'><span lang=3DEN-US style=3D'mso-fare=
ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>6 </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-lan=
guage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s202769" class=3DO style=3D'position:absolute;top:6=
8.75%;
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ast-font-family:
 \5B8B\4F53;mso-hansi-font-family:Arial;font-size:133%;mso-fareast-language:
 ZH-CN'>8 </span><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-lan=
guage:
 ZH-CN;mso-special-format:lastCR;display:none'>&#13;</span></div>
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  fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
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 </v:rect><v:rect id=3D"_x0000_s202773" style=3D'position:absolute;left:24.=
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  v-text-anchor:top' filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f"
  strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s202770"
 src=3D"slide0128_image020.gif" style=3D'position:absolute;top:68.5%;left:4=
8.12%;
 width:4.11%;height:.75%'><![endif]>
 <div v:shape=3D"_x0000_s202771" class=3DO><span style=3D'position:absolute;
 top:74.5%;left:5.24%;width:100.18%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>To solve proportional
 equations, we cross-multiplied and </span></span><span style=3D'position:a=
bsolute;
 top:79.75%;left:5.24%;width:90.63%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'>change the proportions=
 into
 regular equations.<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span></s=
pan></span></div>
 <div v:shape=3D"_x0000_s202773" class=3DO>
 <div style=3D'position:absolute;top:9.5%;left:4.49%;width:102.62%;height:5=
.25%'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Two relat=
ed
 quantities stated side by side is called a </span><span lang=3DEN-US
 style=3D'font-size:133%;color:#F31736;mso-fareast-language:ZH-CN'><i>ratio=
</i></span><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>. &#13;</=
span></div>
 <span style=3D'position:absolute;top:14.75%;left:4.49%;width:103.18%;heigh=
t:
 5.25%'><span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-=
CN'>For
 example, if a recipe calls for 3 eggs for 4 cups of flour, </span></span><=
span
 style=3D'position:absolute;top:20.0%;left:4.49%;width:107.49%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>then the =
ratio of
 eggs to flour is 3 to 4.<span style=3D'mso-spacerun:yes'>&nbsp; </span>We =
may
 write it using </span></span><span style=3D'position:absolute;top:25.5%;
 left:4.49%;width:91.38%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 mso-fareast-language:ZH-CN'>fractional notation as:</span></span></div>
</p:slide></div>

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0 0"'><span
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reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
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'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
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t:
 lastCR;display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s215044" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
 style=3D'position:absolute;top:36.25%;left:5.43%;width:105.61%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s216067" class=3DO style=3D'mso-line-spacing:"100 2=
0 0"'><span
 style=3D'position:absolute;top:8.75%;left:5.24%;width:106.74%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s216069" class=3DO style=3D'position:absolute;top:4=
3.25%;
 left:5.24%;width:89.88%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#003300;mso-fareast-language:ZH-CN'>Let x be the number of eggs need=
ed. </span></div>
 <div v:shape=3D"_x0000_s216071" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
 style=3D'position:absolute;top:36.25%;left:5.43%;width:105.61%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
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n></div>
 <div v:shape=3D"_x0000_s217091" class=3DO style=3D'mso-line-spacing:"100 2=
0 0"'><span
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'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s217093" class=3DO><span style=3D'position:absolute;
 top:43.25%;left:5.24%;width:105.05%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Let x be=
 the
 number of eggs needed. Write the two types of </span></span><span
 style=3D'position:absolute;top:48.5%;left:5.24%;width:106.55%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>measurements,
 the number of eggs and the number of cups </span></span><span
 style=3D'position:absolute;top:53.75%;left:5.24%;width:89.88%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>of
 flour, in a column as shown. </span></span></div>
 <div v:shape=3D"_x0000_s217095" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
 style=3D'position:absolute;top:36.25%;left:5.43%;width:105.61%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
</p:slide></div>

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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s227331" class=3DO style=3D'mso-line-spacing:"100 2=
0 0"'><span
 style=3D'position:absolute;top:8.75%;left:5.24%;width:106.74%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s227333" class=3DO><span style=3D'position:absolute;
 top:43.25%;left:5.24%;width:105.05%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Let x be=
 the
 number of eggs needed. Write the two types of </span></span><span
 style=3D'position:absolute;top:48.5%;left:5.24%;width:106.55%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>measurements,
 the number of eggs and the number of cups </span></span><span
 style=3D'position:absolute;top:53.75%;left:5.24%;width:89.88%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>of
 flour, in a column as shown. </span></span></div>
 <div v:shape=3D"_x0000_s227334" class=3DO style=3D'position:absolute;top:6=
1.0%;
 left:5.24%;width:28.08%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#003300;mso-fareast-language:ZH-CN'>number of eggs</span></div>
 <div v:shape=3D"_x0000_s227335" class=3DO style=3D'position:absolute;top:6=
6.5%;
 left:5.24%;width:23.03%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#F31736;mso-fareast-language:ZH-CN'>cups of flour </span></div>
 <div v:shape=3D"_x0000_s227337" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
 style=3D'position:absolute;top:36.25%;left:5.43%;width:105.61%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
</p:slide></div>

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.5%;
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s218115" class=3DO style=3D'mso-line-spacing:"100 2=
0 0"'><span
 style=3D'position:absolute;top:8.75%;left:5.24%;width:106.74%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s218117" class=3DO><span style=3D'position:absolute;
 top:43.25%;left:5.24%;width:105.05%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Let x be=
 the
 number of eggs needed. Write the two types of </span></span><span
 style=3D'position:absolute;top:48.5%;left:5.24%;width:106.55%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>measurements,
 the number of eggs and the number of cups </span></span><span
 style=3D'position:absolute;top:53.75%;left:5.24%;width:103.37%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>of
 flour, in a column as shown. Then write down the ratios.</span></span></di=
v>
 <div v:shape=3D"_x0000_s218118" class=3DO style=3D'position:absolute;top:6=
1.0%;
 left:5.24%;width:28.08%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#003300;mso-fareast-language:ZH-CN'>number of eggs</span></div>
 <div v:shape=3D"_x0000_s218119" class=3DO style=3D'position:absolute;top:6=
6.5%;
 left:5.24%;width:23.03%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#F31736;mso-fareast-language:ZH-CN'>cups of flour </span></div>
 <div v:shape=3D"_x0000_s218121" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
 style=3D'position:absolute;top:36.25%;left:5.43%;width:105.61%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
</p:slide></div>

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 <div v:shape=3D"_x0000_s219139" class=3DO style=3D'mso-line-spacing:"100 2=
0 0"'><span
 style=3D'position:absolute;top:8.75%;left:5.24%;width:106.74%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s219141" class=3DO><span style=3D'position:absolute;
 top:43.25%;left:5.24%;width:105.05%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Let x be=
 the
 number of eggs needed. Write the two types of </span></span><span
 style=3D'position:absolute;top:48.5%;left:5.24%;width:106.55%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>measurements,
 the number of eggs and the number of cups </span></span><span
 style=3D'position:absolute;top:53.75%;left:5.24%;width:103.37%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>of
 flour, in a column as shown. Then write down the ratios.</span></span></di=
v>
 <div v:shape=3D"_x0000_s219142" class=3DO style=3D'position:absolute;top:6=
1.0%;
 left:5.24%;width:28.08%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#003300;mso-fareast-language:ZH-CN'>number of eggs</span></div>
 <div v:shape=3D"_x0000_s219143" class=3DO style=3D'position:absolute;top:6=
6.5%;
 left:5.24%;width:23.03%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#F31736;mso-fareast-language:ZH-CN'>cups of flour </span></div>
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  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s219144,_x0000_s21=
9145"
 src=3D"slide0143_image089.gif" style=3D'position:absolute;top:63.75%;left:=
31.64%;
 width:11.23%;height:6.25%'><![endif]>
 <div v:shape=3D"_x0000_s219148" class=3DO style=3D'position:absolute;top:6=
2.0%;
 left:44.38%;width:3.37%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#003300;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'> </span></div>
 <div v:shape=3D"_x0000_s219149" class=3DO style=3D'position:absolute;top:6=
6.5%;
 left:43.44%;width:5.8%;height:5.25%'><span lang=3DEN-US style=3D'font-size=
:133%;
 color:#F31736;mso-fareast-language:ZH-CN'>10 </span></div>
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ne;
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  <v:shadow color=3D"gray [2]"/>
 </v:line><v:rect id=3D"_x0000_s219154" style=3D'position:absolute;left:31.=
5pt;
  top:162pt;width:676.5pt;height:64.75pt;mso-wrap-style:square;v-text-ancho=
r:top'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s219152"
 src=3D"slide0143_image090.gif" style=3D'position:absolute;top:66.5%;left:4=
4.19%;
 width:2.99%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s219154" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
 style=3D'position:absolute;top:36.25%;left:5.43%;width:105.61%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
</p:slide></div>

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.5%;
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ze:178%;
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n></div>
 <div v:shape=3D"_x0000_s220163" class=3DO style=3D'mso-line-spacing:"100 2=
0 0"'><span
 style=3D'position:absolute;top:8.75%;left:5.24%;width:106.74%;height:5.25%=
'><span
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reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
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'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'>&#13;</span></span></div>
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 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Let x be=
 the
 number of eggs needed. Write the two types of </span></span><span
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'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>measurements,
 the number of eggs and the number of cups </span></span><span
 style=3D'position:absolute;top:53.75%;left:5.24%;width:103.37%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>of
 flour, in a column as shown. Then write down the ratios.</span></span></di=
v>
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31.64%;
 width:11.23%;height:6.25%'><![endif]>
 <div v:shape=3D"_x0000_s220170" class=3DO style=3D'position:absolute;top:6=
2.0%;
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e:133%;
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 style=3D'font-size:133%;mso-fareast-language:ZH-CN'> </span></div>
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6.5%;
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e:133%;
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2.0%;
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e:133%;
 color:#003300;mso-fareast-language:ZH-CN'>x</span><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'> </span></div>
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6.5%;
 left:43.44%;width:5.8%;height:5.25%'><span lang=3DEN-US style=3D'font-size=
:133%;
 color:#F31736;mso-fareast-language:ZH-CN'>10 </span></div>
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ne;
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t:9pt;
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73.5pt,5in"
  to=3D"391.5pt,5in" strokecolor=3D"black [1]">
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:line id=3D"_x0000_s220176" style=3D'position:absolute;
  mso-wrap-style:none;mso-wrap-distance-left:9pt;mso-wrap-distance-top:0;
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or=3D"black [1]">
  <v:shadow color=3D"gray [2]"/>
 </v:line><v:rect id=3D"_x0000_s220178" style=3D'position:absolute;left:31.=
5pt;
  top:162pt;width:676.5pt;height:64.75pt;mso-wrap-style:square;v-text-ancho=
r:top'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s220175,_x0000_s22=
0176"
 src=3D"slide0144_image092.gif" style=3D'position:absolute;top:66.5%;left:4=
4.19%;
 width:10.67%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s220178" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
 style=3D'position:absolute;top:36.25%;left:5.43%;width:105.61%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
</p:slide></div>

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.5%;
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
 <div v:shape=3D"_x0000_s221187" class=3DO style=3D'mso-line-spacing:"100 2=
0 0"'><span
 style=3D'position:absolute;top:8.75%;left:5.24%;width:106.74%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'>&#13;</span></span></div>
 <div v:shape=3D"_x0000_s221189" class=3DO><span style=3D'position:absolute;
 top:43.25%;left:5.24%;width:105.05%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Let x be=
 the
 number of eggs needed. Write the two types of </span></span><span
 style=3D'position:absolute;top:48.5%;left:5.24%;width:106.55%;height:5.25%=
'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>measurements,
 the number of eggs and the number of cups </span></span><span
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%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>of
 flour, in a column as shown. Then write down the ratios.</span></span></di=
v>
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1.0%;
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e:133%;
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31.64%;
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e:133%;
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  <v:fill color2=3D"white [0]"/>
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  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
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 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s221199,_x0000_s22=
1200"
 src=3D"slide0145_image094.gif" style=3D'position:absolute;top:66.5%;left:4=
4.19%;
 width:10.67%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s221201" class=3DO style=3D'position:absolute;top:6=
3.25%;
 left:58.42%;width:41.19%;height:5.25%'><span lang=3DEN-US style=3D'font-si=
ze:133%;
 color:#003300;mso-fareast-language:ZH-CN'>Set them equal, we get</span><sp=
an
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l-format:
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1.0%;
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e:133%;
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 style=3D'font-size:133%;mso-fareast-language:ZH-CN'> </span></div>
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5.5%;
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e:133%;
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1.0%;
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e:133%;
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5.5%;
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e:133%;
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 style=3D'font-size:133%;mso-fareast-language:ZH-CN'> </span></div>
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r:top'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
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 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s221206,_x0000_s22=
1207"
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4.19%;
 width:10.29%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s221209" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
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%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
</p:slide></div>

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.5%;
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ze:178%;
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n></div>
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0 0"'><span
 style=3D'position:absolute;top:8.75%;left:5.24%;width:106.74%;height:5.25%=
'><span
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reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
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t:
 lastCR;display:none'>&#13;</span></span></div>
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 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Let x be=
 the
 number of eggs needed. Write the two types of </span></span><span
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'><span
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-CN'>measurements,
 the number of eggs and the number of cups </span></span><span
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%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>of
 flour, in a column as shown. Then write down the ratios.</span></span></di=
v>
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ze:133%;
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2231"
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4.19%;
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3.25%;
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ze:133%;
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 style=3D'mso-spacerun:yes'>&nbsp; </span>cross multiply</span><span lang=
=3DEN-US
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CR;
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1.0%;
 left:43.63%;width:14.6%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
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US
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 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
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%'><span
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-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
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0 0"'><span
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reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
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reast-language:
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pan><span
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'><span
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reast-language:
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-US
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t:
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 <div v:shape=3D"_x0000_s223237" class=3DO><span style=3D'position:absolute;
 top:43.25%;left:5.24%;width:105.05%;height:5.25%'><span lang=3DEN-US
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 the
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'><span
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-CN'>measurements,
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%'><span
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-CN'>of
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v>
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1.0%;
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e:133%;
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6.5%;
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e:133%;
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ne;
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t:9pt;
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t:9pt;
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t:9pt;
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t:9pt;
  mso-wrap-distance-bottom:0;mso-position-horizontal:absolute;
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t:9pt;
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2.0%;
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e:133%;
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6.5%;
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2.0%;
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e:133%;
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ne;
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t:9pt;
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t:9pt;
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t:9pt;
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t:9pt;
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t:9pt;
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t:9pt;
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ze:133%;
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1.0%;
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e:133%;
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5.5%;
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e:133%;
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1.0%;
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5.5%;
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t:9pt;
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t:9pt;
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t:9pt;
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3255"
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4.19%;
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 <div v:shape=3D"_x0000_s223256" class=3DO style=3D'position:absolute;top:7=
3.25%;
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ze:133%;
 color:#003300;mso-fareast-language:ZH-CN'><span
 style=3D'mso-spacerun:yes'>&nbsp; </span>cross multiply</span><span lang=
=3DEN-US
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CR;
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1.0%;
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e:133%;
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US
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8.75%;
 left:45.13%;width:6.74%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
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CR;
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6.5%;
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:133%;
 color:#003300;mso-fareast-language:ZH-CN'>30</span><span lang=3DEN-US
 style=3D'font-size:133%;mso-fareast-language:ZH-CN'> </span></div>
 <div v:shape=3D"_x0000_s223260" class=3DO style=3D'position:absolute;top:9=
1.0%;
 left:51.12%;width:3.55%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#003300;mso-fareast-language:ZH-CN'>4 </span></div>
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ne;
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  <v:shadow color=3D"gray [2]"/>
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5pt;
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r:top'
  filled=3D"f" fillcolor=3D"#bbe0e3 [4]" stroked=3D"f" strokecolor=3D"black=
 [1]">
  <v:fill color2=3D"white [0]"/>
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  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:rect><![if !vml]><img border=3D0 v:shapes=3D"_x0000_s223261"
 src=3D"slide0147_image102.gif" style=3D'position:absolute;top:91.0%;left:5=
0.74%;
 width:2.99%;height:.5%'><![endif]>
 <div v:shape=3D"_x0000_s223264" class=3DO><span style=3D'position:absolute;
 top:31.0%;left:5.43%;width:106.17%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Example =
B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
 style=3D'position:absolute;top:36.25%;left:5.43%;width:105.61%;height:5.25=
%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
</p:slide></div>

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.5%;
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ze:178%;
 color:black;mso-color-index:3;mso-fareast-language:ZH-CN'>Proportions</spa=
n></div>
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0 0"'><span
 style=3D'position:absolute;top:8.75%;left:5.24%;width:106.74%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>When setting up a proportional equation for a word problem, </span>=
</span><span
 style=3D'position:absolute;top:14.0%;left:5.24%;width:103.18%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>the two quantities for the same type of measurement must </span></s=
pan><span
 style=3D'position:absolute;top:19.5%;left:5.24%;width:107.3%;height:5.25%'=
><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>occupy the same position in the fractions i.e. both must be in </sp=
an></span><span
 style=3D'position:absolute;top:24.75%;left:5.24%;width:91.57%;height:5.25%=
'><span
 lang=3DEN-US style=3D'mso-hansi-font-family:Garamond;font-size:133%;mso-fa=
reast-language:
 ZH-CN'>numerator, or both must be in the numerator. </span><span lang=3DEN=
-US
 style=3D'mso-hansi-font-family:Garamond;font-size:89%;position:relative;
 top:.37em;mso-text-raise:-25%;mso-fareast-language:ZH-CN;mso-special-forma=
t:
 lastCR;display:none'>&#13;</span></span></div>
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 top:43.25%;left:5.24%;width:105.05%;height:5.25%'><span lang=3DEN-US
 style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH-CN'>Let x be=
 the
 number of eggs needed. Write the two types of </span></span><span
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'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>measurements,
 the number of eggs and the number of cups </span></span><span
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%'><span
 lang=3DEN-US style=3D'font-size:133%;color:#003300;mso-fareast-language:ZH=
-CN'>of
 flour, in a column as shown. Then write down the ratios.</span></span></di=
v>
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1.0%;
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e:133%;
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6.5%;
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ze:133%;
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8.75%;
 left:65.16%;width:33.7%;height:5.25%'><span lang=3DEN-US style=3D'font-siz=
e:133%;
 color:#003300;mso-fareast-language:ZH-CN'>We need 7&frac12; eggs.</span><s=
pan
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l-format:
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B. A
 recipe for a cake calls for 3 eggs for 4 cups of </span></span><span
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%'><span
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-CN'>flour.
 How many eggs are need if we have 10 cups of flour?</span></span></div>
</p:slide></div>

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------=_NextPart_01C99C9E.80750BD0
Content-Location: file:///C:/AB764A33/1Proportions_files/script.js
Content-Transfer-Encoding: quoted-printable
Content-Type: application/javascript; charset="us-ascii"

function LoadSld()
{
	var sld=3DGetObj("SlideObj")
	if( !g_supportsPPTHTML ) {
		sld.style.visibility=3D"visible"
		return
	}
	if( MakeNotesVis() ) return
	runAnimations =3D _InitAnimations();
	if( IsWin("PPTSld") )
		parent.SldUpdated(GetSldId())
	g_origSz=3DparseInt(SlideObj.style.fontSize)
	g_origH=3Dsld.style.posHeight
	g_origW=3Dsld.style.posWidth
	g_scaleHyperlinks=3D(document.all.tags("AREA").length>0)
	if( g_scaleHyperlinks )
		InitHLinkArray()
	if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) )
		document.body.scroll=3D"no"
	_RSW()
	if( IsWin("PPTSld") && parent.IsFullScrMode() )
		FullScrInit();
=09
	MakeSldVis();
	ChkAutoAdv()

	if( runAnimations )
	{
		if( document.all("NSPlay") )
			document.all("NSPlay").autoStart =3D false;
		if( sld.filters && sld.filters.revealtrans )
			setTimeout( "document.body.start()", sld.filters.revealtrans.duration * =
1000 );
		else
			document.body.start();
	}
}
function MakeSldVis()
{
	var fTrans=3Dg_showAnimation && SldHasTrans()
	if( fTrans )
	{
		if( g_bgSound ) {
			idx=3Dg_bgSound.indexOf(",");
			pptSound.src=3Dg_bgSound.substr( 0, idx );
			pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1)));
		}
		SlideObj.filters.revealtrans.Apply()
    }
	SlideObj.style.visibility=3D"visible"
	if( fTrans )
		SlideObj.filters.revealtrans.Play()
}
function MakeNotesVis()
{
	if( !IsNts() ) return false
	SlideObj.style.display=3D"none"
	nObj =3D document.all.item("NotesObj")
	parent.SetHasNts(0)
	if( nObj ) {
		nObj.style.display=3D""
		parent.SetHasNts(1)
	}
	return 1
}
function ChkAutoAdv()
{
	if(SldHasTrans())
		SlideObj.onfilterchange=3DAutoAdv
	else
		AutoAdv()
}
function AutoAdv()
{
	if(!IsWin("PPTSld") || !gUseSldTimings )return
	var sld=3DGetCurSld()
	if( (sld.mAdvDelay>0) && !parent.IsFramesMode() )
		setTimeout("parent.GoToNextSld()",sld.mAdvDelay)
}
function GetObj(id)
{
	if(g_supportsPPTHTML) return document.all(id);
	else return document.getElementById(id);
}
function SldHasTrans() { return SlideObj.style.getAttribute("filter")!=3D""=
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function GetSldId() { return sId=3Dlocation.href.substring(location.href.la=
stIndexOf('/')+1) }
function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx=
tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl=
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function IsWin( name ) { return window.name =3D=3D name }
function IsNts() { return IsWin("PPTNts") }
function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }
function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"=
 && navigator.appVersion.indexOf("Windows")>0 ) }
function SupportsPPTHTML()
{
	var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0
	if( msie >=3D 0 )
		ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )
	else
		ver=3DparseInt(appVer)
	return( ver >=3D 4 && msie >=3D 0 )
}
function _RSW()
{
	if( !g_supportsPPTHTML || IsNts() ||
	  ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )
		return
        var padding=3D0;
        if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6
	cltWidth=3Ddocument.body.clientWidth-padding
	cltHeight=3Ddocument.body.clientHeight-padding
	factor=3D(1.0*cltWidth)/g_origW
	if( cltHeight < g_origH*factor )
		factor=3D(1.0*cltHeight)/g_origH
	newSize =3D g_origSz * factor
	if( newSize < 1 ) newSize=3D1
	s=3DSlideObj.style
	s.fontSize=3DnewSize+"px"
	s.posWidth=3Dg_origW*factor
	s.posHeight=3Dg_origH*factor
	s.posLeft=3D(cltWidth-s.posWidth+padding)/2
	s.posTop=3D(cltHeight-s.posHeight+padding)/2
	if( g_scaleHyperlinks )
		ScaleHyperlinks( factor )
}
function _InitAnimations()
{
	animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined';
	isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode();
	g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc=
reen && parent.IsSldVisited());
	if( g_animUseRuntime ) {
		collSeq =3D document.all.tags("seq");
		if( collSeq !=3D null ) {
			for(ii=3D0;ii<collSeq.length;ii++) {
				if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) {
					g_animMainSequence =3D collSeq[ii];
					break;
				}
			}
		}
		if( g_animItemsToHide ) {
			for(jj =3D 0; jj < g_animItemsToHide.length; jj++) {
				if( hideObj =3D GetObj(g_animItemsToHide[jj]) )
					hideObj.runtimeStyle.visibility=3D"hidden";
			}
		}
		if( g_animInteractiveItems ){
			for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) {
				if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) )
					triggerObj.runtimeStyle.cursor=3D"hand";
			}
		}
		if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) {
			adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=
e, g_animEffectTimings );
			if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) {
			   var sld =3D GetCurSld();
			   sld.mAdvDelay =3D adjustedTime * 1000;
			}
		}
	}
	return g_animUseRuntime;
}
gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D "";
function _KPH()
{
	if( IsNts() ) return;
	if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() )
		parent.window.close( self );
	else if( event.keyCode =3D=3D 32 ) {
		if( window.name =3D=3D "PPTSld" )
			parent.PPTSld.DocumentOnClick();
		else
			parent.GoToNextSld();
	}
	CatchNumKeys( parent, event );
}
function CatchNumKeys( win, event ) {
	if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) =
) {
		gSldJump =3D 1;
		gSldJumpIdx +=3D (event.keyCode-48).toString();
	}
	if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) {
		var numSlds =3D parent.GetSldList().mList.length
		if ( gSldJumpIdx > numSlds )
			gSldJumpIdx =3D numSlds;
		if ( gSldJumpIdx >=3D 0 ) {
			if ( gSldJumpIdx =3D=3D 0 )
				gSldJumpIdx =3D 1;
			var jumpTo =3D parseInt(gSldJumpIdx);
			gSldJump =3D 0; gSldJumpIdx =3D "";
			win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )
		}
	}
}
function _KDH()
{
	if( event.keyCode =3D=3D 8 ) {
		event.returnValue =3D 0;
		parent.GoToPrevSld();
	}
}
function DocumentOnClick()
{
	if( IsNts() || parent.HideMenu() ) return;
	if( ( g_allowAdvOnClick && !parent.IsFramesMode() ) ||
	    (event && (event.keyCode=3D=3D32) ) )
		parent.GoToNextSld();
}

var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=
, g_bgSound=3D"",
    g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser =
=3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;
var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=
indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=
r g_animManager =3D null;
var g_animUseRuntime =3D false;
var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
var g_animMainSequence =3D null;
var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=
es", gIsEndShow=3D0, NUM_VIS_SLDS=3D43, SCRIPT_HREF=3D"script.js", FULLSCR_=
HREF=3D"fullscreen.htm";
var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=
tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true
window.gPPTHTML=3DSupportsPPTHTML()
var gMainDoc=3Dnew Array(new hrefList("slide0081.htm",1,-1,1),new hrefList(=
"slide0121.htm",1,-1,1),new hrefList("slide0122.htm",1,-1,1),new hrefList("=
slide0123.htm",1,-1,1),new hrefList("slide0124.htm",1,-1,1),new hrefList("s=
lide0125.htm",1,-1,1),new hrefList("slide0126.htm",1,-1,1),new hrefList("sl=
ide0127.htm",1,-1,1),new hrefList("slide0128.htm",1,-1,1),new hrefList("sli=
de0119.htm",1,-1,1),new hrefList("slide0129.htm",1,-1,1),new hrefList("slid=
e0130.htm",1,-1,1),new hrefList("slide0131.htm",1,-1,1),new hrefList("slide=
0117.htm",1,-1,1),new hrefList("slide0137.htm",1,-1,1),new hrefList("slide0=
159.htm",1,-1,1),new hrefList("slide0160.htm",1,-1,1),new hrefList("slide01=
61.htm",1,-1,1),new hrefList("slide0162.htm",1,-1,1),new hrefList("slide016=
3.htm",1,-1,1),new hrefList("slide0164.htm",1,-1,1),new hrefList("slide0112=
.htm",1,-1,1),new hrefList("slide0138.htm",1,-1,1),new hrefList("slide0139.=
htm",1,-1,1),new hrefList("slide0140.htm",1,-1,1),new hrefList("slide0141.h=
tm",1,-1,1),new hrefList("slide0150.htm",1,-1,1),new hrefList("slide0142.ht=
m",1,-1,1),new hrefList("slide0143.htm",1,-1,1),new hrefList("slide0144.htm=
",1,-1,1),new hrefList("slide0145.htm",1,-1,1),new hrefList("slide0146.htm"=
,1,-1,1),new hrefList("slide0147.htm",1,-1,1),new hrefList("slide0148.htm",=
1,-1,1),new hrefList("slide0120.htm",1,-1,1),new hrefList("slide0151.htm",1=
,-1,1),new hrefList("slide0152.htm",1,-1,1),new hrefList("slide0153.htm",1,=
-1,1),new hrefList("slide0154.htm",1,-1,1),new hrefList("slide0155.htm",1,-=
1,1),new hrefList("slide0156.htm",1,-1,1),new hrefList("slide0157.htm",1,-1=
,1),new hrefList("slide0158.htm",1,-1,1));
function FullScrInit()
{
	g_allowAdvOnClick =3D GetCurSld().mAdvOnClk
	document.body.style.backgroundColor=3D"black"
	document.oncontextmenu=3Dparent._CM;
	document.onkeydown =3D _KDH;
	document.ondragstart=3DCancel
	document.onselectstart=3DCancel
	self.focus()
}
function Redirect( frmId )
{
	var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId()
	if(idx>=3D0) str=3Dstr.substr(1);
	if( window.name !=3D frmId && ( sId !=3D str) ) {
		obj =3D GetObj("Main-File")
		window.location.href=3Dobj.href+"#"+sId
		return 1
	}
	return 0
}
var MHTMLPrefix =3D CalculateMHTMLPrefix();
function CalculateMHTMLPrefix()
{
	if ( document.location.protocol =3D=3D 'mhtml:') {
		href=3Dnew String(document.location.href)
		Start=3Dhref.indexOf('!')+1
		End=3Dhref.lastIndexOf('/')+1
		if (End < Start)
			return href.substring(0, Start)
		else
		return href.substring(0, End)
	}
	return '';
}
function GetTags(base,tag)
{
	if(g_supportsPPTHTML) return base.all.tags(tag);
	else return base.getElementsByTagName(tag);
}
function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=
refix+GetHrefObj( gCurSld ).mNtsHref ) }
function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }
function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }
function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }
function SetHasNts( fVal )
{
	if( gHasNts !=3D fVal ) {
		gHasNts=3DfVal
		UpdNavPane()
	}
}
function ToggleOtlText()
{
	gOtlTxtExp=3D!gOtlTxtExp
	UpdOtlPane()
}
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")
	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"
	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}
function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")
	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"
	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}
function ClearMedia()
{
	if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0;
}
function FullScreen()
{
	if ( PPTSld.g_animUseRuntime )
		PPTSld.document.body.pause();
	ClearMedia();
	var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF =
: FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;
	if(PPTNav.event.ctrlKey) {
		var w =3D (window.screen.availWidth * 1.0) / 2.0
		var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW
		win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top=
=3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h );
		if( PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
	else
	{
		win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" );
		if( PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
}
function ToggleVNarration()
{
	rObj=3DPPTSld.document.all("NSPlay")
	if( rObj && !PPTSld.g_animUseRuntime ) {
		if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) )
			rObj.Play()
		else if( rObj.playState =3D=3D 2 )
			rObj.Pause()
		else
			return;
	}
	else if( PPTSld.g_animUseRuntime )
	{
		narObj =3D PPTSld.document.all("narrationID")
		if( narObj )
			narObj.togglePause()
	}
}
function GetCurSldNum()
{
	obj=3DGetHrefObj(gCurSld)
	if( obj.mOrigVis =3D=3D 1 )
		return obj.mSldIdx
	else
		return gCurSld
}
function GetNumSlds()
{
	if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )
		return GetSldList().mNumVisSlds;
	else
		return GetSldList().mList.length
}
function GetSldNum( href )
{
	for(ii=3D0; ii<GetSldList().mList.length; ii++) {
		if ( GetSldList().mList[ii].mSldHref =3D=3D href )
			return ii+1
	}
	return 1
}
function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }
function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }
function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }
function GoToNextSld()
{
	ii=3DgCurSld + 1
	if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {
		if( ii<=3DGetSldList().mList.length ) {
			obj=3DGetHrefObj(ii)
			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
		}
	}
	if( gSldStack.length > 1 )
		PopSldList();
	else if( !IsFramesMode() ) {
                if( gLoopCont )
			GoToFirst()
                else
			EndShow()
	}
}
function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}
function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }
function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}
function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
	PPTSld.location.replace(MHTMLPrefix+obj.mSldHref)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}
function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	PPTSld.location.replace(MHTMLPrefix+href)
}
function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}
function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }
function CloseWindow() {
	if( HideMenu() ) return;
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}
function Unload() { gIsEndShow=3D0; }
function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}
function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	doc=3DPPTSld.document
	doc.open()
	doc.writeln('<html><body bgcolor=3Dblack onload=3Dparent.SetupEndShow() on=
unload=3Dparent.Unload()><center><p><font face=3DTahoma color=3Dwhite size=
=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></body></html>')
	doc.close()
}
function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }
function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }
function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}
function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();
	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
	this.mNumVisSlds =3D idx-1;
	this.fEndShow =3D fEnd;
}
function GetSldList() {	return gSldStack[gSldStack.length-1] }
function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]=
 }
gSldStack =3D new Array();
gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)
function ViewCustomShow(idx,fEnd)
{
	if( !IsFullScrMode() ) return;
	var sldList =3D new Array();
	var custShow =3D custShowList[idx-1];
	var jj =3D 0;
	for( ii=3D0;ii<custShow.length;ii++ ) {
		if( custShow[ii] <=3D gMainDoc.length )
			sldList[jj++] =3D gMainDoc[custShow[ii]-1];
	}
	if (sldList.length > 0) {
	PushSldList(sldList,fEnd);
	gCurSld =3D 1;
	}
	else
		if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
}
function PushSldList(arr,fEnd) {
	var ii =3D gSldStack.length;
	gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);
	GoToSld( gSldStack[ii].mList[0].mSldHref );
}
function PopSldList() {
	if (gSldStack[gSldStack.length-1].fEndShow)
		EndShow()
	else {
	gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;
	gSldStack[gSldStack.length-1] =3D null;
	gSldStack.length--;
	var sldList =3D gSldStack[gSldStack.length-1];
	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
	}
}
var custShowList=3Dnew Array();
function ImgBtn( oId,bId,w,action )
{
	var t=3Dthis
	t.Perform    =3D _IBP
	t.SetActive  =3D _IBSetA
	t.SetInactive=3D _IBSetI
	t.SetPressed =3D _IBSetP
	t.SetDisabled=3D _IBSetD
	t.Enabled    =3D _IBSetE
	t.ChangeIcon =3D null
	t.UserAction =3D action
	t.ChgState   =3D _IBUI
	t.mObjId   =3D oId
	t.mBorderId=3D bId
	t.mWidth   =3D w
	t.mIsOn    =3D t.mCurState =3D 0
}
function _IBSetA()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}
function _IBSetI()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0
	}
}
function _IBSetP()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )
		obj.style.posLeft+=3D1; obj.style.posTop+=3D1
	}
}
function _IBSetD()
{
	obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )
	obj.style.posTop=3D0
}
function _IBSetE( state )
{
	var t=3Dthis
	GetObj( t.mBorderId ).style.visibility=3D"visible"
	if( state !=3D t.mIsOn ) {
		t.mIsOn=3Dstate
		if( state )
			t.SetInactive()
		else
			t.SetDisabled()
	}
}
function _IBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
		if( t.ChangeIcon ) {
			obj=3DGetObj(t.mObjId)
			if( t.ChangeIcon() )
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth
			else
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth
		}
		t.SetActive()
	}
}
function _IBUI( clr1,clr2,nextState )
{
	var t=3Dthis
	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
	obj=3DGetObj( t.mObjId )
	obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj=
.style.posTop
	t.mCurState=3DnextState
	return obj
}
function TxtBtn( oId,oeId,action,chkState )
{
	var t=3Dthis
	t.Perform    =3D _TBP
	t.SetActive  =3D _TBSetA
	t.SetInactive=3D _TBSetI
	t.SetPressed =3D _TBSetP
	t.SetDisabled=3D _TBSetD
	t.SetEnabled =3D _TBSetE
	t.GetState   =3D chkState
	t.UserAction =3D action
	t.ChgState   =3D _TBUI
	t.mObjId      =3D oId
	t.m_elementsId=3D oeId
	t.mIsOn       =3D 1
}
function _TBSetA()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gHiliteClr,gShadowClr,0,0 )
}
function _TBSetI()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
}
function _TBSetP()
{
	if( this.mIsOn )
		this.ChgState( gShadowClr,gHiliteClr,1,1 )
}
function _TBSetD()
{
	this.ChgState( gFaceClr,gFaceClr,0,0 )
	this.mIsOn =3D 0
}
function _TBSetE()
{
	var t=3Dthis
	if( !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
	else
		t.ChgState( gShadowClr,gHiliteClr,1,1 )
	t.mIsOn =3D 1
}
function _TBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
        if( !t.GetState )
            return
		if( t.GetState() )
			t.SetPressed()
		else
			t.SetActive()
	}
}
function _TBUI( clr1,clr2,lOffset,tOffset )
{
	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
}
function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=
ft }
function SetBorder( obj, upperLeft, lowerRight )
{
	s=3Dobj.style;
	s.borderStyle      =3D "solid"
	s.borderWidth      =3D 1
	s.borderLeftColor  =3D s.borderTopColor =3D upperLeft
	s.borderBottomColor=3D s.borderRightColor =3D lowerRight
}
function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }
function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }
function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }
function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }
function BtnOnUp()
{
	b=3DGetBtnObj()
	if( b !=3D null )
		b.Perform()
	else
		Upd()
}
function GetNtsState(){ return parent.gNtsOpen }
function GetOtlState(){ return parent.gOtlOpen }
function GetOtlTxtState(){ return parent.gOtlTxtExp }
function NtsBtnSetFlag( fVal )
{
	s=3Ddocument.all.item( this.m_flagId ).style
	s.display=3D"none"
	if( fVal )
		s.display=3D""
	else
		s.display=3D"none"
}
function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etActive() }
function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etInactive() }
var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=
THREEDFACE"
var gBtnArr =3D new Array()
gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=
e,GetOtlState )
gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=
lPane,GetOtlState )
gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan=
e,GetNtsState )
gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP=
revSld )
gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN=
extSld )
gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=
.FullScreen )
gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=
rent.FullScreen,null )
gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=
.FullScreen,null )
gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_voice"]  =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.=
ToggleVNarration )
gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent=
.ToggleOtlText )
gBtnArr["nb_nts"].m_flagId=3D "notes_flag"
gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlag
gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState
var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=
row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"
function ShowMenu()
{
	BuildMenu();
	var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=
=3DPPTSld.event.clientY+doc.scrollTop
	m =3D PPTSld.document.all.item("ctxtmenu")
	m.style.pixelLeft=3Dx
	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
		m.style.pixelLeft=3Dx-m.scrollWidth
	m.style.pixelTop=3Dy
	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
		m.style.pixelTop=3Dy-m.scrollHeight
	m.style.display=3D""
}
function _CM()
{
	if( !parent.IsFullScrMode() ) return;
	if(!PPTSld.event.ctrlKey) {
		ShowMenu()
		return false
	} else
		HideMenu()
}
function BuildMenu()
{
	if( PPTSld.document.all.item("ctxtmenu") ) return
	var mObj=3DCreateItem( PPTSld.document.body )
	mObj.id=3D"ctxtmenu"
	mObj.style.visibility=3D"hidden"
	var s=3DmObj.style
	s.position=3D"absolute"
	s.cursor=3D"default"
	s.width=3D"120px"
	SetCMBorder(mObj,"menu","black")
	var iObj=3DCreateItem( mObj )
	SetCMBorder( iObj, "threedhighlight","threedshadow" )
	iObj.style.padding=3D2
	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
	CreateSeparator( iObj )
	CreateMenuItem( iObj,sEnd,M_End,M_True )
	mObj.style.visibility=3D"visible"
}
function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=
lue=3Dfalse }
function Highlight() { ChangeClr("activecaption","threedhighlight") }
function Deselect() { ChangeClr("threedface","menutext") }
function Perform()
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() )
		e.Action()
	else
		PPTSld.event.cancelBubble=3Dtrue
}
function ChangeClr( bg,clr )
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() ) {
		e.style.backgroundColor=3Dbg
		e.style.color=3Dclr
	}
}
function M_HasPrevSld() { return( parent.HasPrevSld() ) }
function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }
function M_GoPrevSld() { if( gIsEndShow ) { history.back(); PPTSld.event.ca=
ncelBubble=3Dtrue; } else GoToPrevSld() }
function M_True() { return true }
function M_End() { window.close( self ) }
function CreateMenuItem( node,text,action,eval )
{
	var e=3DCreateItem( node )
	e.type=3D"menuitem"
	e.Action=3Daction
	e.IsActive=3Deval
	e.innerHTML=3Dtext
	if( !e.IsActive() )
		e.style.color=3D"threedshadow"
	e.onclick=3DPerform
	e.onmouseover=3DHighlight
	e.onmouseout=3DDeselect
	s=3De.style;
	s.fontFamily=3DsFont
	s.fontSize=3D"9pt"
	s.paddingLeft=3D2
}
function CreateSeparator( node )
{
	var sObj=3DCreateItem( node )
	SetCMBorder(sObj,"menu","menu")
	var s=3DsObj.style
	s.borderTopColor=3D"threedshadow"
	s.borderBottomColor=3D"threedhighlight"
	s.height=3D1
	s.fontSize=3D"0px"
}
function CreateItem( node )
{
	var elem=3DPPTSld.document.createElement("DIV")
	node.insertBefore( elem )
	return elem
}
function SetCMBorder( o,ltClr,rbClr )
{
	var s=3Do.style
	s.backgroundColor=3D"menu"
	s.borderStyle=3D"solid"
	s.borderWidth=3D1
	s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr
}

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  <div id=3DPPTP12 class=3DPTxt><font size=3D2><a
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  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0131.htm');" id=3DPPTL13><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0117.htm');" id=3DPPTL14><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0137.htm');" id=3DPPTL15><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0159.htm');" id=3DPPTL16><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>17</font></div>
  </td>
  <td>
  <div id=3DPPTP17 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0160.htm');" id=3DPPTL17><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>18</font></div>
  </td>
  <td>
  <div id=3DPPTP18 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0161.htm');" id=3DPPTL18><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>19</font></div>
  </td>
  <td>
  <div id=3DPPTP19 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0162.htm');" id=3DPPTL19><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>20</font></div>
  </td>
  <td>
  <div id=3DPPTP20 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0163.htm');" id=3DPPTL20><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>21</font></div>
  </td>
  <td>
  <div id=3DPPTP21 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0164.htm');" id=3DPPTL21><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>22</font></div>
  </td>
  <td>
  <div id=3DPPTP22 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0112.htm');" id=3DPPTL22><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>23</font></div>
  </td>
  <td>
  <div id=3DPPTP23 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0138.htm');" id=3DPPTL23><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>24</font></div>
  </td>
  <td>
  <div id=3DPPTP24 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0139.htm');" id=3DPPTL24><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>25</font></div>
  </td>
  <td>
  <div id=3DPPTP25 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0140.htm');" id=3DPPTL25><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>26</font></div>
  </td>
  <td>
  <div id=3DPPTP26 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0141.htm');" id=3DPPTL26><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>27</font></div>
  </td>
  <td>
  <div id=3DPPTP27 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0150.htm');" id=3DPPTL27><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>28</font></div>
  </td>
  <td>
  <div id=3DPPTP28 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0142.htm');" id=3DPPTL28><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>29</font></div>
  </td>
  <td>
  <div id=3DPPTP29 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0143.htm');" id=3DPPTL29><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>30</font></div>
  </td>
  <td>
  <div id=3DPPTP30 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0144.htm');" id=3DPPTL30><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>31</font></div>
  </td>
  <td>
  <div id=3DPPTP31 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0145.htm');" id=3DPPTL31><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>32</font></div>
  </td>
  <td>
  <div id=3DPPTP32 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0146.htm');" id=3DPPTL32><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>33</font></div>
  </td>
  <td>
  <div id=3DPPTP33 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0147.htm');" id=3DPPTL33><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>34</font></div>
  </td>
  <td>
  <div id=3DPPTP34 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0148.htm');" id=3DPPTL34><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>35</font></div>
  </td>
  <td>
  <div id=3DPPTP35 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0120.htm');" id=3DPPTL35><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>36</font></div>
  </td>
  <td>
  <div id=3DPPTP36 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0151.htm');" id=3DPPTL36><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>37</font></div>
  </td>
  <td>
  <div id=3DPPTP37 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0152.htm');" id=3DPPTL37><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>38</font></div>
  </td>
  <td>
  <div id=3DPPTP38 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0153.htm');" id=3DPPTL38><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>39</font></div>
  </td>
  <td>
  <div id=3DPPTP39 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0154.htm');" id=3DPPTL39><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>40</font></div>
  </td>
  <td>
  <div id=3DPPTP40 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0155.htm');" id=3DPPTL40><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>41</font></div>
  </td>
  <td>
  <div id=3DPPTP41 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0156.htm');" id=3DPPTL41><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>42</font></div>
  </td>
  <td>
  <div id=3DPPTP42 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0157.htm');" id=3DPPTL42><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>43</font></div>
  </td>
  <td>
  <div id=3DPPTP43 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0158.htm');" id=3DPPTL43><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
</table>



</div>

<div style=3D'display:none'><a href=3Dmaster29.htm></a><a href=3Dmaster29.x=
ml></a><a
href=3Dpreview.wmf></a><a href=3Dpres.xml></a><a href=3Dslide0081.htm></a><a
href=3Dslide0121.htm></a><a href=3Dslide0122.htm></a><a href=3Dslide0123.ht=
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href=3D"slide0123_image001.gif"></a><a href=3Dslide0124.htm></a><a
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