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\li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12465304 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12465304 \par }{\rtlch \ab\af0 \ltrch \b\f0\insrsid12465304 C}{\rtlch \ab\af0 \ltrch \b\f0\insrsid13529635 6}{\rtlch \af0 \ltrch \f0\insrsid12465304 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12465304 Work out }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid13529635 dimensions from scale drawings}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12465304 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid660910\charrsid13529635 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12465304\charrsid13529635 \par }\pard \ltrpar\ql \fi-1134\li1134\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin1134\itap0\pararsid12465304 {\rtlch \ab\af0 \ltrch \b\f0\insrsid12465304 C}{\rtlch \ab\af0 \ltrch \b\f0\insrsid13529635 6}{\rtlch \ab\af0 \ltrch \b\f0\insrsid12465304 .1}{\rtlch \af0 \ltrch \f0\insrsid12465304 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid13529635 Work out dimensions from scale drawings}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12465304\charrsid5316830 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12717669 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669\charrsid12465304 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid12717669\charrsid13529635 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12717669\charrsid13529635 :}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669\charrsid10750029 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13529635 \par \par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669\charrsid10750029 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid12717669\charrsid10750029 \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\pararsid12717669 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669\charrsid10750029 Calculate dimensions on the object. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid12717669\charrsid10750029 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Calculate dimensions on the plan. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid13529635 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13529635 Change}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669\charrsid10750029 units. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12717669 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid12717669\charrsid10750029 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid12717669\charrsid13529635 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12717669\charrsid13529635 : \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12717669 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8867678\charrsid10750029 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669\charrsid10750029 Working with scale drawings uses just the same procedure as converti}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 ng units and currencies (Refer to }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid804918 Carrying Out Calculations, Section}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12717669\charrsid804918 C4}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669\charrsid10750029 ). We are given a conversion factor (the scale) and we need to multiply to find the larger unit (normally the real object or the ground in the case of a map). Alternatively, we divide when finding the smaller unit (the model or distances on the map).}{ \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13529635\charrsid10750029 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12717669\charrsid10750029 It is very likely that units will need to be changed. Distances on maps may be a few centimetres, but they could represent many kilometres on the ground. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8867678 \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\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid12717669\yts24 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid804918 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid804918\charrsid804918 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid804918\yts24 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid804918\charrsid804918 A map is drawn to a scale of 1:25,000. \par }\pard\plain \ltrpar\s23\ql \fi-567\li567\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\pararsid804918\yts24 \rtlch \af118\afs24\alang1025 \ltrch \f118\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid804918\charrsid804918 (a)\tab On the }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid804918 map, the }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid804918\charrsid804918 field measures 2cm long. How long is the field on the ground. Give your answer in metres. \par }\pard\plain \ltrpar\ql \fi-567\li567\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin567\pararsid804918\yts24 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid804918\charrsid804918 (b)\tab A straight road is 2.5km long. How long will it be on the map? \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid12717669\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid804918 Solutions:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid804918\charrsid804918 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid804918\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 (a)\tab To find the larger}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 unit, }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 we multiply: \par }\pard \ltrpar\ql \fi720\li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid804918\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 25}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 ,000 = 50,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 000cm \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 50,000cm = 50,000 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 100}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid804918 = }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid804918\charrsid804918 500m}{\rtlch \af1\afs22 \ltrch \f1\fs22\ul\insrsid804918\charrsid10750029 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid804918\yts24 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 (b)\tab 2.5km = 2.5 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 1000 = 2,500m = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 2}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 ,500 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 100 = 250,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 000cm \par \tab To find the smaller unit, we divide: \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 \tab 250,000 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 25,}{ \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 000}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid804918 = }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid804918\charrsid804918 10cm}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 \par }\pard\plain \ltrpar\s19\ql \li0\ri0\widctlpar\intbl\nooverflow\faroman\rin0\lin0\pararsid804918\yts24 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe2057\cgrid\langnp2057\langfenp2057 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918\charrsid10750029 \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid12717669\yts24 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 { \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 \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\insrsid804918 \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\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12717669 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid804918 \par \par }}