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{\operator Natasha Soma}{\creatim\yr2004\mo1\dy9\hr11\min56}{\revtim\yr2004\mo8\dy2\hr13\min41}{\version9}{\edmins13}{\nofpages3}{\nofwords545}{\nofchars3110}{\*\company 麻豆社}{\nofcharsws3648}{\vern16469}}
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\tab }{\rtlch \ab\af1\afs16 \ltrch \b\f1\fs16\insrsid355683\charrsid16738853 Page }{\field{\*\fldinst {\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\insrsid355683\charrsid16738853  PAGE }}{\fldrslt {\rtlch \ab\af1\afs16 \ltrch 
\cs16\b\f1\fs16\lang1024\langfe1024\noproof\insrsid6234755 3}}}{\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\insrsid355683\charrsid16738853  of }{\field{\*\fldinst {\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\insrsid355683\charrsid16738853  NUMPAGES }
}{\fldrslt {\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\lang1024\langfe1024\noproof\insrsid6234755 3}}}{\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\insrsid355683 \tab \'a9 麻豆社 2004
\par CARRYING OUT CALCULATIONS: Using proportion and calculate ratios where appropriate
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\af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs32 \ltrch \f1\fs32\insrsid7606761 Tutor\rquote s Toolkit: Application of Number}{\rtlch \ab\af1\afs32 \ltrch 
\b\f1\fs32\ul\insrsid7606761\charrsid5336693 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7606761 {\rtlch \af1\afs22 \ltrch \f1\fs22\ul\insrsid7606761 
\par }\pard \ltrpar\qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7606761 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7606761 Carrying Out Calculations}{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid7606761\charrsid6300681 
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\par }{\rtlch \ab\af0 \ltrch \b\f0\insrsid7606761 C7}{\rtlch \af0 \ltrch \f0\insrsid7606761 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5075151 Use proportion and calculate ratios where appropriate}{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid7606761 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7606761 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5856488 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5856488 {\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid5856488 Useful Web Links:
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7606761 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5856488 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5856488 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5856488\charrsid10552822 麻豆社 Bitesize Revision: Maths: Ratio
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\ltrch \f1\fs22\insrsid5856488 " }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid15408873\charrsid11355614 {\*\datafield 
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\cs25\f1\fs22\ul\cf2\insrsid5856488\charrsid11355614 http://www.bbc.co.uk/schools/gcsebitesize/maths/numberf/ratiorev1.shtml}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5856488 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5856488\charrsid10552822 
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5856488\charrsid5856488 麻豆社 Skillswise: Numbers: Ratio and proportion
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\af1\afs22 \ltrch \cs25\f1\fs22\ul\cf2\insrsid5856488\charrsid11355614 http://www.bbc.co.uk/skillswise/numbers/wholenumbers/ratioandproportion/ratio/}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5856488 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7606761 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5856488\charrsid13529635 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7606761\charrsid13529635 
\par }\pard \ltrpar\ql \fi-1134\li1134\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin1134\itap0\pararsid7606761 {\rtlch \ab\af0 \ltrch \b\f0\insrsid7606761 C7.1}{\rtlch \af0 \ltrch \f0\insrsid7606761 \tab }{\rtlch 
\ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7606761 Ratio notation}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7606761\charrsid5316830 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7106234 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid15681805\charrsid4667631 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid7106234\charrsid5075151 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid5075151 : }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5075151\charrsid5075151 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 
\par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7106234\charrsid4667631 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar
\tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls1\adjustright\rin0\lin0\itap0\pararsid7106234 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 Write correct ratio notation.
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7106234\charrsid4667631 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Simplify ratios.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7106234 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid7106234\charrsid4667631 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid7106234\charrsid5075151 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid5075151 :
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid11029562\charrsid4667631 
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid5075151 Write correct ratio notation.
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7106234\charrsid4667631 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid7106234 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 A map scale is normally given in ratio notation. In }{\rtlch 
\ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5075151 Carrying Out Calculations, Section}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631  }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid5075151 C6}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid7106234\charrsid4667631 , a map scale was given as 1:25}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 000. This means that eve}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid5075151 ry 1cm on the map represents 25,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 000cm on the ground.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5075151 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7106234\charrsid4667631 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid7106234 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 
A paint colour mix could say that it needs two parts red for every three parts blue. We would say that the ratio o
f red to blue is 2:3. Notice that it is vital that we say what the ratio represents, so that you can see which way round it is. If we got the ratio wrong and said 3:2 it would be a reddy blue and not the bluey red we needed!}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid7106234 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5075151 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7106234\charrsid4667631 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid7106234 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 We can divide amounts up using ratio}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid5075151  notation. An elderly relative }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 divides their estate up so the one daughter gets more than the other. They could say how }{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid9779882 much }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 each was getting by setting the ratio of the mount for the first daughter to the amount for the second daughter as 5:2. }{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid7106234 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5075151 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid7106234\charrsid4667631 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid7106234 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 
Ratio notation shows the same information as fractions, but in a slightly different way. A ratio of 1:1 shows that there are 2 parts in total and each part is the same. In other words }{\pard\plain \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid7106234 \rtlch \af1\afs22\alang1025 \ltrch \f1\fs22\lang2057\langfe1033\cgrid\langnp2057\langfenp1033\insrsid7106234\charrsid4667631 
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\picw423\pich1094\picwgoal240\pichgoal620\wmetafile8\bliptag-1205407924\blipupi2303{\*\blipuid b826ef4cdc4fae02a51bd67429c3f880}
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\af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631  each.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5075151 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid5075151 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid7106234 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 In the case of}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 
 the daughters}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9779882  and the will, the ratio was 5:2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 . That\rquote s 7 parts in total. So the first daughter will get }{\pard\plain \ltrpar
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\rtlch \af1\afs22 \ltrch \f1\fs22\dn24\insrsid15408873\charrsid4667631 {\pict{\*\picprop\shplid1026{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}
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\picw459\pich1094\picwgoal260\pichgoal620\wmetafile8\bliptag1585693109\blipupi2302{\*\blipuid 5e83c1b558c7dbdd7b40c1f42f6c01af}010009000003bb00000003001c00000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b02
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\af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631  and the second daughter will get }{\pard\plain \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin567\itap0\pararsid7106234 \rtlch \af1\afs22\alang1025 \ltrch \f1\fs22\lang2057\langfe1033\cgrid\langnp2057\langfenp1033\insrsid7106234\charrsid4667631 
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\af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631  of the money.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7106234 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid5075151 Simplify ratios.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5075151 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 Just like fractions, ratios can be simplified.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5075151 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 
A ratio of 8:4 is eight parts of one for every four parts of the other.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
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00002d0104000800000026060f000600ffffffff01001000000026060f001600ffffffff00005f04000013010000660500002c0200001000000026060f001600ffffffff00005b0400000f010000f30400003102000008000000fa0200000600000000000000040000002d010300040000002d0105000800000025030200
5f041301ee042c02040000002d01020004000000f0010300040000002d0104000800000026060f000600ffffffff01001000000026060f001600ffffffff0000ea0400000f0100006a0500003102000008000000fa0200000600000000000000040000002d010300040000002d0105000800000025030200ee042c026505
1301040000002d01020004000000f0010300040000002d0104000800000026060f000600ffffffff01001000000026060f001600ffffffff000066060000130100006c0700002c0200001000000026060f001600ffffffff0000610600000f010000fa0600003102000008000000fa020000060000000000000004000000
2d010300040000002d010500080000002503020065061301f5062c02040000002d01020004000000f0010300040000002d0104000800000026060f000600ffffffff01001000000026060f001600ffffffff0000f10600000f010000710700003102000008000000fa0200000600000000000000040000002d0103000400
00002d0105000800000025030200f5062c026c071301040000002d01020004000000f0010300040000002d0104000800000026060f000600ffffffff0100040000002d010000030000000000}{\result {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid15408873\charrsid4667631 
{\pict{\*\picprop\shplid1028{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pictureGray}{\sv 0}}{\sp{\sn pictureBiLevel}{\sv 0}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn fHitTestFill}{\sv 1}}{\sp{\sn fillShape}{\sv 1}}
{\sp{\sn fillUseRect}{\sv 0}}{\sp{\sn fNoFillHitTest}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fReallyHidden}{\sv 0}}{\sp{\sn fScriptAnchor}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw8520\pich3413\picwgoal4830\pichgoal1935\wmetafile8\bliptag-1145661219\blipupi-399{\*\blipuid bbb698dd35a512c8443e05ced27ec480}
010009000003d304000006001c00000000001400000026060f001e00ffffffff040014000000576f72640e004d6963726f736f667420576f7264050000000b02
00000000050000000c022603dd071c000000fb021000070000000000bc02000000000102022253797374656d000000000a0026008a0100000000ffffffff3cd0
1300b9c1c777040000002d010000050000000201010000001c000000fb029cff0000000000009001000000000440001254696d6573204e657720526f6d616e00
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1b0421035b072c026606040000002d01040004000000f0010300040000002d01020004000000f00105001000000026060f001600ffffffff00005a0000001501
0000f30000003702000008000000fa0200000600000000000000040000002d01030007000000fc020100000000000000040000002d0105000800000025030200
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65030000320200001000000026060f001600ffffffff00005a02000015010000f30200003702000008000000fa0200000600000000000000040000002d010300
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1000000026060f001600ffffffff0000ea020000150100006a0300003702000008000000fa0200000600000000000000040000002d010300040000002d010500
0800000025030200ee02320265031901040000002d01020004000000f0010300040000002d0104000800000026060f000600ffffffff01001000000026060f00
1600ffffffff00005f04000013010000660500002c0200001000000026060f001600ffffffff00005b0400000f010000f30400003102000008000000fa020000
0600000000000000040000002d010300040000002d01050008000000250302005f041301ee042c02040000002d01020004000000f0010300040000002d010400
0800000026060f000600ffffffff01001000000026060f001600ffffffff0000ea0400000f0100006a0500003102000008000000fa0200000600000000000000
040000002d010300040000002d0105000800000025030200ee042c0265051301040000002d01020004000000f0010300040000002d0104000800000026060f00
0600ffffffff01001000000026060f001600ffffffff000066060000130100006c0700002c0200001000000026060f001600ffffffff0000610600000f010000
fa0600003102000008000000fa0200000600000000000000040000002d010300040000002d010500080000002503020065061301f5062c02040000002d010200
04000000f0010300040000002d0104000800000026060f000600ffffffff01001000000026060f001600ffffffff0000f10600000f0100007107000031020000
08000000fa0200000600000000000000040000002d010300040000002d0105000800000025030200f5062c026c071301040000002d01020004000000f0010300040000002d0104000800000026060f000600ffffffff0100040000002d010000030000000000}}}}}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid7106234 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
\par }\pard\plain \ltrpar\s23\ql \fi-567\li567\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid7106234 \rtlch \af118\afs24\alang1025 \ltrch 
\f118\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 \tab That\rquote s just the same as 2 parts of one to every one part of the other.
\par }\pard\plain \ltrpar\ql \fi-567\li567\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid7106234 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {
\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 \tab 8:4 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 =}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 8}{\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 
\ltrch \f1\fs22\insrsid7106234\charrsid4667631 4}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid5075151 :}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid7106234\charrsid4667631 4}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 
\ltrch \f1\fs22\insrsid5075151  4 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 2:1
\par \tab We can divide (or multiply) both parts of a ratio by the same number and it stays the same ratio. When there is no whole number which divides }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid4667631 both}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid7106234\charrsid4667631  parts exactly, the ratio is in its }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid7106234\charrsid4667631 simplest form}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 .
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4667631 
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid4667631 For example}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 :
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid5075151 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls3\adjustright\rin0\lin567\itap0\pararsid7106234 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 18:12 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 18}{\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 
\ltrch \f1\fs22\insrsid7106234\charrsid4667631 6}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid5075151 :}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid7106234\charrsid4667631 12}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 
\ltrch \f1\fs22\insrsid5075151  6 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 3:2
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid5075151 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-567\li567\ri0\widctlpar
\jclisttab\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls3\adjustright\rin0\lin567\itap0\pararsid11029562 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 24:20:16 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 24}{
\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 4}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid7106234\charrsid5075151 :}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 20}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{
\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  4 }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5075151\charrsid5075151 :}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  16 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
{\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151  4 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid7106234\charrsid4667631 6:5:4}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13828351 

\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5075151 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151 
\par 
\par }\pard \ltrpar\ql \fi-1134\li1134\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin1134\itap0\pararsid14509913 {\rtlch \ab\af0 \ltrch \b\f0\insrsid14509913 C7.2}{\rtlch \af0 \ltrch \f0\insrsid14509913 \tab }{
\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14509913 Calculate proportions}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14509913\charrsid5316830 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14509913 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid14509913\charrsid16016321 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid14509913\charrsid14509913 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14509913\charrsid14509913 : 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913 
\par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913\charrsid16016321 
\par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid14509913\charrsid16016321 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar
\tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls4\adjustright\rin0\lin0\itap0\pararsid14509913 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913\charrsid16016321 Make proportion calculations.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14509913 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid14509913\charrsid16016321 
\par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid14509913\charrsid14509913 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14509913\charrsid14509913 :
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913 
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14509913 Make proportion calculations}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14509913\charrsid14509913 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913 
\par If I know how much a certain quantity of something costs, I can use that information to work out how much any other quantity of the same stuff costs. This works because the price and the quantity are in proportion \endash 
 as one increases, the other increases by the same proportion.
\par 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14509913 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913\charrsid16016321 (Notice}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913  that,}{\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid14509913\charrsid16016321  in reality}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913 ,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913\charrsid16016321  prices are not always in proportion with quantities \endash 
 there may be a discount for buying a lot, for example \endash  so you need to be sure that the quantities are }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid14509913\charrsid16016321 in proportion}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid14509913\charrsid16016321 ).}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14509913 
\par 
\par 
\par 
\par 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 
\par 
\par 
\par 
\par 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5856488 
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9654690 Proportion calculation works in the same way as conversions }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5856488 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5856488 (For further information, refer}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid5856488  to }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9654690\charrsid5856488 
Carrying Out Calculations, Section C4}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid5856488 ) and scale drawings (refer to }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9654690\charrsid5856488 Carrying Out Calculations, Section C6}{\rtlch 
\af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid5856488 )
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 
\par }\trowd \irow0\irowband0\lastrow \ltrrow\ts24\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 
\trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr
\brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid14509913\yts24 \rtlch \af36\afs24\alang1025 \ltrch 
\f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 
\par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9654690 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9654690\charrsid9654690 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid9654690\yts24 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid9654690\charrsid9654690 7m of cloth cost \'a317.50. How much would 10}{\rtlch \ai\af1\afs22 
\ltrch \i\f1\fs22\insrsid9654690 m}{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid9654690\charrsid9654690  cost?
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid14509913\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid9654690\yts24 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9654690\charrsid16016321 Solution}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid9654690\charrsid16016321 :
\par The usual method is to work out how much a unit costs. In this case that would be 1 metre of the cloth.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid16016321 
\par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 \'a317.50 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid16016321 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690  7 = }
{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid16016321 \'a32.50.
\par So, 1 metre costs \'a32.50.
\par Now, 10 metres will cost 10}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid16016321 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch 
\f1\fs22\insrsid9654690  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid16016321 \'a32.50}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690  }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid9654690 = }{\rtlch \ab\af1\afs22 \ltrch 
\b\f1\fs22\insrsid9654690\charrsid9654690 \'a325.00}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690\charrsid16016321 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid14509913\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 
\par \cell }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 
\trowd \irow0\irowband0\lastrow \ltrrow\ts24\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 
\trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr
\brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\row }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14509913 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9654690 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5075151 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5075151\charrsid4667631 
\par }}