<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/780541d9-744e-4e0c-8230-9ec1eaa093ec/bg1.png"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x3 h3 y5 ff2 fs0 fc0 sc0 ls4 ws7">UNIVERSIDADE DO ESTADO DO RIO DE JANEIRO </div><div class="t m0 x4 h3 y6 ff2 fs0 fc0 sc0 ls4 ws7">CENTRO DE EDUCAÇÃO E HUMANIDADES </div><div class="t m0 x5 h3 y7 ff2 fs0 fc0 sc0 ls4 ws7">FACULDADE DE EDUCAÇÃO </div><div class="t m0 x6 h3 y8 ff2 fs0 fc0 sc0 ls4 ws7">Curso de Licenciatura em Pedagogia <span class="ff3 ls0">\u2013</span> modalidade </div><div class="t m0 x7 h3 y9 ff2 fs0 fc0 sc0 ls4 ws7">EAD </div><div class="t m0 x8 h3 ya ff2 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h4 yb ff2 fs1 fc0 sc0 ls4 ws7">Disciplina: <span class="ff4">Mate<span class="blank _0"></span>mática na Edu<span class="blank _0"></span>cação 2 (EAD080<span class="blank _0"></span>17) <span class="blank _1"> </span> <span class="blank _2"> </span><span class="ff2">AP1 <span class="ff3 ws0">\u2013</span><span class="ls1"> <span class="ls5 ws1">202</span></span><span class="ws2">3.2</span></span> </span></div><div class="t m0 x0 h4 yc ff2 fs1 fc0 sc0 ls4 ws7">Coordenador: <span class="ff4">And<span class="blank _0"></span>reia Carvalho Maciel<span class="blank _0"></span> Barbosa<span class="ff2"> </span></span></div><div class="t m0 x0 h4 yd ff2 fs1 fc0 sc0 ls4 ws7">Nome: ____________<span class="blank _0"></span>_______<span class="blank _0"></span>__________________<span class="blank _0"></span>___________<span class="ls5 ws1">____________________</span> </div><div class="t m0 x0 h4 ye ff2 fs1 fc0 sc0 ls4 ws7">Polo: ___________<span class="blank _0"></span>__________<span class="blank _0"></span>________________<span class="ls5 ws1">__________________</span><span class="ws2">_<span class="ls5 ws1">_____________</span></span> </div><div class="t m0 x0 h2 yf ff4 fs0 fc0 sc0 ls4 ws7">Leia atentamente as instruções a seguir. </div><div class="t m0 x9 h4 y10 ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Faça <span class="ff2">toda a prova</span> nes<span class="blank _0"></span>sas folhas<span class="blank _0"></span>. Use as folhas resposta<span class="blank _0"></span>s apenas para<span class="blank _0"></span> rascunho. </span></div><div class="t m0 x9 h4 y11 ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Todas as<span class="blank _0"></span> questões<span class="ff2"> <span class="blank _0"></span>devem apres<span class="blank _0"></span>entar <span class="blank _0"></span>o dese<span class="blank _0"></span>nvolvimento<span class="blank _0"></span><span class="ff4"> para <span class="blank _0"></span>chegar à<span class="blank _0"></span>s soluções<span class="blank _0"></span>. </span></span></span></div><div class="t m0 x9 h5 y12 ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Sua prova deve ser<span class="blank _0"></span> feita de caneta pre<span class="blank _0"></span>ta ou azul. </span></div><div class="t m0 x9 h5 y13 ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Não é permitido o<span class="blank _0"></span> uso da calcul<span class="blank _0"></span>adora. </span></div><div class="t m0 x9 h5 y14 ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Boa Prova! </span></div><div class="t m0 x0 h5 y15 ff4 fs1 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h3 y16 ff2 fs0 fc0 sc0 ls4 ws7">Questão 1 <span class="blank _4"> </span><span class="ff6 fs2 ws3 v1">\udb80\udddb<span class="ws4 v2">\ued38\ued3d\ued48\ued4b\ued4e<span class="blank _5"> </span>\ue7e3\ue603\ue974\ue7e1\ue972<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\ue973\ue7e1\ue972<span class="blank"> </span>\uf345<span class="blank"> </span>\ue974<span class="blank"> </span>\ue9ae<span class="blank"> </span>\ue972\ue7e1\ue977</span><span class="ls2">\udb80\udddc</span></span><span class="fs2"> </span></div><div class="t m0 x0 h5 y17 ff4 fs1 fc0 sc0 ls4 ws7">Considere as fra<span class="blank _0"></span>ções indicad<span class="blank _0"></span>as nas figuras. </div><div class="t m0 xa h5 y18 ff4 fs1 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h5 y19 ff4 fs1 fc0 sc0 ls4 ws7"> <span class="blank _7"> </span>Figura A <span class="blank _8"> </span>Figura B <span class="blank _9"> </span>Figura C <span class="blank _a"> </span>Figura D <span class="blank _a"> </span>Figura E<span class="blank _0"></span> </div><div class="t m0 x0 h6 y1a ff4 fs3 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h5 y1b ff4 fs1 fc0 sc0 ls4 ws7">(a) <span class="blank _b"> </span>Escreva a fração<span class="blank _0"></span> representada e<span class="blank _0"></span>m cada figura: </div><div class="t m0 xb h5 y1c ff4 fs1 fc0 sc0 ls4 ws7"> </div><div class="t m0 x9 h7 y1d ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Fi<span class="blank _0"></span>gura A: <span class="ff6 fs2 fc1 v3">\uf135</span></span></div><div class="t m0 xc h8 y1e ff6 fs2 fc1 sc0 ls4 ws3">\uf138<span class="ff4 fs1 fc0 ws7 v4"> </span></div><div class="t m0 x9 h7 y1f ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Fi<span class="blank _0"></span>gura B: <span class="ff6 fs2 fc1 v3">\uf135</span></span></div><div class="t m0 xc h8 y20 ff6 fs2 fc1 sc0 ls4 ws3">\uf139<span class="ff4 fs1 fc0 ws7 v4"> </span></div><div class="t m0 x9 h7 y21 ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Fi<span class="blank _0"></span>gura C: <span class="ff6 fs2 fc1 v3">\uf135</span></span></div><div class="t m0 xc h8 y22 ff6 fs2 fc1 sc0 ls4 ws3">\uf136<span class="ff4 fs1 fc0 ws7 v4"> </span></div><div class="t m0 x9 h7 y23 ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Fi<span class="blank _0"></span>gura D: <span class="ff6 fs2 fc1 v3">\uf137</span></span></div><div class="t m0 xc h8 y24 ff6 fs2 fc1 sc0 ls4 ws3">\uf138<span class="ff4 fs1 fc0 ws7 v4"> </span></div><div class="t m0 x9 h9 y25 ff5 fs1 fc0 sc0 ls4 ws0">\u2022<span class="ff4 ws7"> <span class="blank _3"> </span>Fi<span class="blank _0"></span>gura E: <span class="blank _6"> </span><span class="ff6 fs2 fc1 v3">\uf135</span></span></div><div class="t m0 xc h8 y26 ff6 fs2 fc1 sc0 ls6 ws5">\uf135\uf134<span class="ff4 fs1 fc0 ls4 ws7 v4"> </span></div><div class="t m0 x0 h6 y27 ff4 fs3 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 ha y28 ff4 fs1 fc0 sc0 ls4 ws7">(b) <span class="blank _b"> </span>Qual(is) figura(s)<span class="blank _0"></span> representam f<span class="blank _0"></span>rações maiores qu<span class="blank _0"></span>e <span class="ff6 fs3 v5">\uf135</span></div><div class="t m0 xd hb y29 ff6 fs3 fc0 sc0 ls3">\uf137<span class="ff4 fs1 ls4 ws7 v6">? </span></div><div class="t m0 x9 ha y2a ff4 fs1 fc1 sc0 ls4 ws7">Figura C e Figu<span class="blank _0"></span>ra D (ou <span class="ff6 fs3 v5">\uf135</span></div><div class="t m0 xe hc y2b ff6 fs3 fc1 sc0 ls3">\uf136<span class="ff4 fs1 ls1 ws7 v6"> <span class="ls5">e </span></span><span class="ls4 v7">\uf137</span></div><div class="t m0 xf hb y2b ff6 fs3 fc1 sc0 ls3">\uf138<span class="ff4 fs1 ls7 ws6 v6">).<span class="ls4 ws7"> </span></span></div><div class="t m0 xb hd y2c ff4 fs4 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 ha y2d ff4 fs1 fc0 sc0 ls4 ws7">(c) <span class="blank _c"> </span>Qual(is) figura<span class="blank _0"></span>(s) representam<span class="blank _0"></span> frações menores <span class="blank _0"></span>que <span class="ff6 fs3 v5">\uf135</span></div><div class="t m0 x10 hb y2e ff6 fs3 fc0 sc0 ls3">\uf13a<span class="ff4 fs1 ls4 ws7 v6">? </span></div><div class="t m0 x9 ha y2f ff4 fs1 fc1 sc0 ls4 ws7">Figura E (ou <span class="blank _c"> </span><span class="ff6 fs3 v5">\uf135</span></div><div class="t m0 x11 he y30 ff6 fs3 fc1 sc0 ls8">\uf135\uf134</div><div class="t m0 x12 h5 y2f ff4 fs1 fc1 sc0 ls7 ws6">).<span class="ls4 ws7"> </span></div><div class="t m0 x9 h5 y31 ff4 fs1 fc2 sc0 ls4 ws7">Item <span class="blank _5"> </span>(a) <span class="blank _5"> </span><span class="ff7 ws2">\u2013</span> <span class="blank _d"> </span>Atribuir <span class="blank _5"> </span>0,2 <span class="blank _5"> </span>po<span class="blank _0"></span>r <span class="blank _5"> </span>resposta <span class="blank _5"> </span>correta. <span class="blank _5"> </span>Item <span class="blank _5"> </span>(b) <span class="blank _d"> </span><span class="ff7 ws2">\u2013</span> <span class="blank _5"> </span>Atribuir <span class="blank _5"> </span>0,2 <span class="blank _5"> </span>pela <span class="blank _5"> </span>indicação <span class="blank _5"> </span>de <span class="blank _5"> </span>uma<span class="blank _0"></span> </div><div class="t m0 x9 h5 y32 ff4 fs1 fc2 sc0 ls4 ws7">figura <span class="blank _5"> </span>ou <span class="blank _5"> </span>de <span class="blank _5"> </span>uma<span class="blank _0"></span> <span class="blank _5"> </span>fração <span class="blank _5"> </span>correta<span class="blank _0"></span> <span class="blank _5"> </span>+ <span class="blank _5"> </span>(0,2) <span class="blank _5"> </span>pela <span class="blank _5"> </span>indicação <span class="blank _5"> </span>da<span class="blank _0"></span> <span class="blank _5"> </span>segunda <span class="blank _5"> </span>figura ou <span class="blank _d"> </span>da <span class="blank _5"> </span>segunda<span class="blank _0"></span> </div></div><div class="c x13 y33 w3 hf"><div class="t m0 x14 h3 y34 ff2 fs0 fc0 sc0 ls4 ws7">Nota </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x9 h5 y35 ff4 fs1 fc2 sc0 ls4 ws7">fração <span class="blank _e"> </span>correta<span class="blank _0"></span> <span class="blank _e"> </span>e <span class="blank _e"> </span>descontar <span class="blank _b"> </span>(0,1) <span class="blank _e"> </span>por <span class="blank _e"> </span>cada <span class="blank _b"> </span>r<span class="blank _5"> </span>espo<span class="blank _0"></span>sta <span class="blank _e"> </span>errada. <span class="blank _e"> </span>Item <span class="blank _e"> </span>(c) <span class="blank _e"> </span><span class="ff7 ls9">\u2013</span> <span class="blank _e"> </span>Atribuir <span class="blank _b"> </span>0,4 <span class="blank _e"> </span>pela </div><div class="t m0 x9 h5 y36 ff4 fs1 fc2 sc0 ls4 ws7">indicação da figura<span class="blank _0"></span> ou fração cor<span class="blank _0"></span>reta e desconta<span class="blank _0"></span>r (0,1) por<span class="blank _0"></span> cada resposta errada<span class="blank _0"></span>. </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x9 y37 w4 h10" alt="" src="https://files.passeidireto.com/780541d9-744e-4e0c-8230-9ec1eaa093ec/bg3.png"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h3 y5 ff2 fs0 fc0 sc0 ls4 ws7">Questão 2<span class="fc1 lsa"> </span><span class="ff6 fs2 ws3 v1">\udb80\udddb<span class="ws4 v2">\ued38\ued3d\ued48\ued4b\ued4e<span class="blank _5"> </span>\ue7e3\ue603\ue974\ue7e1\ue972<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\ue973\ue7e1\ue972<span class="blank"> </span>\uf345<span class="blank"> </span>\ue974<span class="blank"> </span>\ue9ae<span class="blank"> </span>\ue972\ue7e1\ue977</span><span class="ls2">\udb80\udddc</span></span> </div><div class="t m0 x0 h2 y6 ff4 fs0 fc0 sc0 ls4 ws7">Considere as figuras a seguir. </div><div class="t m0 x15 h2 y38 ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x16 h2 y39 ff4 fs0 fc0 sc0 lsb ws7"> <span class="ls4">Hexágono <span class="blank _f"> </span> <span class="blank _2"> </span>Tr<span class="blank _0"></span>apézio <span class="blank _10"> </span><span class="lsb"> </span>Losango <span class="blank _11"> </span> Triângulo </span></div><div class="t m0 x9 h2 y3a ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h2 y3b ff4 fs0 fc0 sc0 ls4 ws7">E suas regiões dividas em partes iguais. </div><div class="t m0 x17 h2 y3c ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x16 h2 y3d ff4 fs0 fc0 sc0 lsb ws7"> <span class="ls4">Hexágono <span class="blank _f"> </span> <span class="blank _2"> </span>Tr<span class="blank _0"></span>apézio <span class="blank _10"> </span><span class="lsb"> </span>Losango <span class="blank _11"> </span> Triângulo </span></div><div class="t m0 x9 h2 y3e ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x9 h2 y3f ff4 fs0 fc0 sc0 ls4 ws7">(a) Complete a tabela a seguir considerando as áreas das figuras. </div><div class="t m0 x16 h2 y40 ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x16 h2 y41 ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x18 y42 w5 h11"><div class="t m0 x19 h2 y43 ff4 fs0 fc0 sc0 ls4 ws7">Fração </div></div><div class="c x1a y42 w6 h11"><div class="t m0 x1b h2 y44 ff4 fs0 fc0 sc0 ls4 ws7">Figura que </div><div class="t m0 x1c h2 y45 ff4 fs0 fc0 sc0 ls4 ws7">representa a fração </div></div><div class="c x1d y42 w7 h11"><div class="t m0 x1e h2 y46 ff4 fs0 fc0 sc0 ls4 ws7">Inteiro considerado </div></div><div class="c x18 y47 w8 h12"><div class="t m0 x1f h13 y48 ff6 fs0 fc0 sc0 ls4">\ue973</div><div class="t m0 x1f h14 y49 ff6 fs0 fc0 sc0 ls4 ws8">\ue974<span class="ff4 ws7 v3"> </span></div></div><div class="c x1a y47 w9 h12"><div class="t m0 x20 h2 y4a ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x1d y4b w7 h15"><div class="t m0 x21 h2 y4c ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x18 y4d w8 h16"><div class="t m0 x1f h13 y4e ff6 fs0 fc0 sc0 ls4">\ue973</div><div class="t m0 x1f h17 y49 ff6 fs0 fc0 sc0 ls4 ws8">\ue975<span class="ff4 ws7 v3"> </span></div></div><div class="c x1a y4d w9 h16"><div class="t m0 x22 h2 y4f ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x18 y4b w8 h18"><div class="t m0 x1f h13 y50 ff6 fs0 fc1 sc0 ls4">\ue973</div><div class="t m0 x1f h17 y51 ff6 fs0 fc1 sc0 ls4 ws8">\ue978<span class="ff4 ws7 v3"> </span></div></div><div class="c x1a y4b w9 h18"><div class="t m0 x23 h2 y4a ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x18 y52 w5 h16"><div class="t m0 x1f h13 y53 ff6 fs0 fc1 sc0 ls4">\ue974</div><div class="t m0 x1f h17 y54 ff6 fs0 fc1 sc0 ls4 ws8">\ue975<span class="ff4 ws7 v3"> </span></div></div><div class="c x1a y52 w6 h16"><div class="t m0 x22 h2 y4f ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x1d y55 w7 h19"><div class="t m0 x24 h2 y56 ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x18 y55 w5 h1a"><div class="t m0 x1f h13 y57 ff6 fs0 fc0 sc0 ls4">\ue973</div><div class="t m0 x1f h1b y51 ff6 fs0 fc0 sc0 ls4 ws8">\ue975<span class="ff4 ws7 v3"> </span></div></div><div class="c x1a y55 w6 h1a"><div class="t m0 x23 h2 y4a ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x18 y58 w5 h1c"><div class="t m0 x1f h13 y59 ff6 fs0 fc0 sc0 ls4">\ue973</div><div class="t m0 x1f h17 y5a ff6 fs0 fc0 sc0 ls4 ws8">\ue974<span class="ff4 ws7 v3"> </span></div></div><div class="c x1a y58 w6 h1c"><div class="t m0 x23 h2 y5b ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x1d y58 w7 h1c"><div class="t m0 x18 h2 y5c ff4 fs0 fc0 sc0 ls4 ws7"> </div></div><div class="c x1 y1 w2 h0"><div class="t m0 x16 h2 y5d ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x16 h2 y5e ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x16 h2 y5f ff4 fs0 fc2 sc0 ls4 ws7">Atribuir 1,0: 0,2 por resposta correta. </div><div class="t m0 x16 h2 y60 ff4 fs0 fc0 sc0 ls4 ws7"> </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x16 y61 wa h1d" alt="" src="https://files.passeidireto.com/780541d9-744e-4e0c-8230-9ec1eaa093ec/bg4.png"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x9 h1e y62 ff4 fs0 fc0 sc0 ls4 ws7">(b) Considerando <span class="blank _d"> </span>o <span class="blank _12"> </span>hexágono <span class="blank _d"> </span>como <span class="blank _12"> </span>inteiro, <span class="blank _d"> </span>que <span class="blank _d"> </span>figura <span class="blank _12"> </span>representa <span class="blank _12"> </span><span class="ff6 fs5 v4">\uf135</span></div><div class="t m0 x25 h1f y63 ff6 fs5 fc0 sc0 ls4 ws9">\uf136<span class="ff4 fs0 lsc ws7 v8"> <span class="ls0">de <span class="blank _d"> </span></span></span><span class="v9">\uf135</span></div><div class="t m0 x26 h20 y63 ff6 fs5 fc0 sc0 ls4 ws9">\uf137<span class="ff4 fs0 ws7 v8"> <span class="blank _d"> </span>da <span class="blank _12"> </span>área </span></div><div class="t m0 x16 h2 y64 ff4 fs0 fc0 sc0 ls4 ws7">do hexágono. </div><div class="t m0 x16 h2 y65 ff4 fs0 fc1 sc0 ls4 ws7">O triângulo. </div><div class="t m0 x16 h2 y66 ff4 fs0 fc2 sc0 ls4 ws7"> </div><div class="t m0 x16 h2 y67 ff4 fs0 fc2 sc0 ls4 ws7">Atribuir 0,5. </div><div class="t m0 x16 h2 y68 ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x9 h21 y69 ff4 fs0 fc0 sc0 ls4 ws7">(c) <span class="blank _d"> </span>Considere o trapézio como inteiro. Represent<span class="blank _0"></span>e na figura a área de <span class="ff6 fs5 v4">\uf135</span></div><div class="t m0 x27 h22 y6a ff6 fs5 fc0 sc0 ls4 ws9">\uf138<span class="ff4 fs0 lsb ws7 v8"> <span class="ls0">de </span></span><span class="v9">\uf135</span></div><div class="t m0 x28 h20 y6a ff6 fs5 fc0 sc0 ls4 ws9">\uf137<span class="ff4 fs0 ws7 v8"> deste </span></div><div class="t m0 x16 h2 y6b ff4 fs0 fc0 sc0 ls4 ws7">trapézio. </div><div class="t m0 x29 h2 y6c ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x16 h2 y6d ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x16 h2 y6e ff4 fs0 fc1 sc0 ls4 ws7">Exemplo de resposta: </div><div class="t m0 x16 h23 y6f ff6 fs5 fc1 sc0 ls4">\uf135</div><div class="t m0 x16 h22 y70 ff6 fs5 fc1 sc0 ls4 ws9">\uf137<span class="ff4 fs0 ws7 v8"> do trapézio:<span class="blank _13"> </span><span class="ls0">e </span></span><span class="v9">\uf135</span></div><div class="t m0 x2a h22 y70 ff6 fs5 fc1 sc0 ls4 ws9">\uf138<span class="ff4 fs0 lsb ws7 v8"> <span class="ls0">de </span></span><span class="v9">\uf135</span></div><div class="t m0 x2b h22 y70 ff6 fs5 fc1 sc0 ls4 ws9">\uf137<span class="ff4 fs0 ws7 v8"> do trapézio (ou <span class="blank _14"> </span></span><span class="v9">\uf135</span></div><div class="t m0 x2c h20 y70 ff6 fs5 fc1 sc0 lsd wsa">\uf135\uf136<span class="ff4 fs0 lse wsb v8">):<span class="blank"> </span><span class="ls4 ws7"> </span></span></div><div class="t m0 x16 h2 y71 ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x16 h21 y72 ff4 fs0 fc2 sc0 ls4 ws7">Atribuir <span class="blank _15"></span>0,5 <span class="blank _15"></span>a <span class="blank _15"></span>qualquer <span class="blank _15"></span>figura <span class="blank _15"></span>que <span class="blank _15"></span>repres<span class="blank _0"></span>ente <span class="blank _e"> </span><span class="ff6 fs5 v4">\uf135</span></div><div class="t m0 x8 h20 y73 ff6 fs5 fc2 sc0 lsd wsa">\uf135\uf136<span class="ff4 fs0 ls4 ws7 v8"> <span class="blank _15"></span>da <span class="blank _15"></span>área <span class="blank _15"></span>do <span class="blank _15"></span>trapézio, <span class="blank _16"></span>mas <span class="blank _15"></span>a <span class="blank _15"></span>figura </span></div><div class="t m0 x16 h2 y74 ff4 fs0 fc2 sc0 ls4 ws7">tem que estar dividida em partes iguais. </div><div class="t m0 x16 h5 y75 ff4 fs1 fc0 sc0 ls4 ws7"> </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x16 y76 wb h24" alt="" src="https://files.passeidireto.com/780541d9-744e-4e0c-8230-9ec1eaa093ec/bg5.png"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h3 y5 ff2 fs0 fc0 sc0 ls4 ws7">Questão 3<span class="fc1 lsf"> </span><span class="ff6 fs2 ws3 v1">\udb80\udddb<span class="wsc v2">\ued38\ued3d\ued48\ued4b\ued4e<span class="blank"> </span>\ue7e3\ue603\ue974\ue7e1\ue972<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\ue976<span class="blank _14"> </span>\ue9ae<span class="blank _14"> </span>\ue972\ue7e1\ue977</span>\udb80\udddc</span> </div><div class="t m0 x0 h2 y6 ff4 fs0 fc3 sc0 ls4 ws7">Os <span class="blank _e"> </span>alunos <span class="blank _b"> </span>cometer <span class="blank _e"> </span>erros <span class="blank _b"> </span>quando <span class="blank _e"> </span>realizam <span class="blank _e"> </span>cálculos <span class="blank _e"> </span>e <span class="blank _e"> </span>podemos, <span class="blank _b"> </span>como <span class="blank _e"> </span>professores, </div><div class="t m0 x0 h2 y7 ff4 fs0 fc3 sc0 ls4 ws7">buscar compreender a natureza desses erros. </div><div class="t m0 x0 h21 y77 ff4 fs0 fc0 sc0 ls4 ws7">(a) Faça uma análise do erro cometido pelo aluno na operação <span class="ff6 fs5 v4">\uf136</span></div><div class="t m0 x2d h22 y78 ff6 fs5 fc0 sc0 ls10">\uf137<span class="fs0 ls11 v8">\uf345</span><span class="ls4 v9">\uf135</span></div><div class="t m0 x2e h22 y78 ff6 fs5 fc0 sc0 ls12">\uf138<span class="fs0 ls13 v8">\uf34c</span><span class="ls4 v9">\uf13c</span></div><div class="t m0 x2f h22 y78 ff6 fs5 fc0 sc0 lsd wsd">\uf135\uf136<span class="blank"> </span><span class="fs0 ls14 v8">\uf345</span><span class="ls4 v9">\uf137</span></div><div class="t m0 x26 h22 y78 ff6 fs5 fc0 sc0 lsd wse">\uf135\uf136<span class="blank"> </span><span class="fs0 ls15 v8">\uf34c</span><span class="v9">\uf135\uf134</span></div><div class="t m0 x30 h20 y78 ff6 fs5 fc0 sc0 lsd wsa">\uf135\uf136<span class="ff4 fs0 ls4 ws7 v8">. </span></div><div class="t m0 x9 h2 y79 ff4 fs0 fc1 sc0 ls4 ws7">O <span class="blank _f"> </span>a<span class="blank _5"> </span>luno <span class="blank _f"> </span>fez <span class="blank _f"> </span>o <span class="blank _17"> </span>procedimento <span class="blank _f"> </span>de <span class="blank _17"> </span>adição <span class="blank _f"> </span>corretamente, <span class="blank _17"> </span>encontrou <span class="blank _f"> </span>frações </div><div class="t m0 x9 h2 y7a ff4 fs0 fc1 sc0 ls4 ws7">equivalentes e errou na adição de 8 + 3. </div><div class="t m0 x9 h2 y7b ff4 fs0 fc2 sc0 ls4 ws7">Atribuir (0,5<span class="lse wsf">).</span> </div><div class="t m0 x31 h2 y7c ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h21 y7d ff4 fs0 fc0 sc0 ls4 ws7">(b) Faça uma análise do erro cometido pelo aluno na operação <span class="ff6 fs5 v4">\uf139</span></div><div class="t m0 x2d h22 y7e ff6 fs5 fc0 sc0 ls10">\uf13a<span class="fs0 ls11 v8">\uf346</span><span class="ls4 v9">\uf135</span></div><div class="t m0 x2e h22 y7e ff6 fs5 fc0 sc0 ls12">\uf137<span class="fs0 ls16 v8">\uf34c</span><span class="ls4 v9">\uf138</span></div><div class="t m0 x2f h20 y7e ff6 fs5 fc0 sc0 ls4 ws9">\uf137<span class="ff4 fs0 ws7 v8">. </span></div><div class="t m0 x9 h2 y7f ff4 fs0 fc1 sc0 ls4 ws7">O aluno subtraiu os numeradores e os denominadores. </div><div class="t m0 x9 h2 y80 ff4 fs0 fc2 sc0 ls4 ws7">Atribuir (0,5<span class="lse wsf">).</span> </div><div class="t m0 x22 h2 y81 ff4 fs0 fc3 sc0 ls4 ws7"> </div><div class="t m0 x0 h2 y82 ff4 fs0 fc0 sc0 ls4 ws7">(c) <span class="blank _5"> </span>No <span class="blank _12"> </span>texto <span class="blank _d"> </span><span class="ff7">\u201cAnálise <span class="blank _12"> </span>de <span class="blank _d"> </span>erros <span class="blank _d"> </span>em <span class="blank _12"> </span>questões <span class="blank _d"> </span>de <span class="blank _d"> </span>adição <span class="blank _d"> </span>e<span class="blank _5"> </span> <span class="blank _d"> </span>subtração <span class="blank _d"> </span>com <span class="blank _12"> </span>frações\u201d, <span class="blank _12"> </span></span><span class="ls17">de </span></div><div class="t m0 x9 h2 y83 ff4 fs0 fc0 sc0 ls4 ws7">Melo <span class="blank _c"> </span>e <span class="blank _c"> </span>Andrade, <span class="blank _c"> </span>os <span class="blank _c"> </span>autores <span class="blank _c"> </span>classificam <span class="blank _c"> </span>a<span class="blank _5"> </span>l<span class="blank _0"></span>guns <span class="blank _c"> </span>tipos <span class="blank _c"> </span>de <span class="blank _e"> </span>erros<span class="blank _5"> </span> <span class="blank _c"> </span>cometidos <span class="blank _c"> </span>pelos </div><div class="t m0 x9 h2 y84 ff4 fs0 fc0 sc0 ls4 ws7">alunos. </div><div class="t m0 x9 h2 y85 ff5 fs0 fc0 sc0 ls4 ws10">\u2022<span class="ff4 ws7"> <span class="blank _18"> </span>No <span class="blank _e"> </span>uso <span class="blank _e"> </span>de <span class="blank _b"> </span>conhecimentos <span class="blank _e"> </span>construído<span class="blank _5"> </span>: <span class="blank _b"> </span>quando <span class="blank _e"> </span>o <span class="blank _b"> </span>a<span class="blank _5"> </span>luno <span class="blank _b"> </span>utiliza <span class="blank _e"> </span>procedimentos </span></div><div class="t m0 x16 h2 y86 ff4 fs0 fc0 sc0 ls4 ws7">inadequados, <span class="blank _15"></span>m<span class="blank _5"> </span>esmo <span class="blank _15"></span>tendo estruturas <span class="blank _15"></span>mentais <span class="blank _0"></span>necessárias, <span class="blank _0"></span>não <span class="blank _15"></span>sendo <span class="blank _0"></span>erro <span class="blank _15"></span>de </div><div class="t m0 x16 h2 y87 ff4 fs0 fc0 sc0 ls4 ws7">construção de conhecimento. </div><div class="t m0 x9 h2 y88 ff5 fs0 fc0 sc0 ls4 ws10">\u2022<span class="ff4 ws7"> <span class="blank _18"> </span>Construtivo<span class="lsb">: <span class="blank _5"> </span></span>quando <span class="blank _5"> </span>o a<span class="blank _5"> </span>luno nã<span class="blank _5"> </span>o possui <span class="blank _5"> </span>estruturas <span class="blank _5"> </span>de <span class="blank _5"> </span>pensamento suficien<span class="blank _5"> </span>tes </span></div><div class="t m0 x16 h2 y89 ff4 fs0 fc0 sc0 ls4 ws7">para resolver o problema, modificando sua forma de pensar e açõ<span class="blank _0"></span>es.<span class="blank _5"> </span> </div><div class="t m0 x9 h2 y8a ff5 fs0 fc0 sc0 ls4 ws10">\u2022<span class="ff4 ws7"> <span class="blank _18"> </span>Equívocos <span class="blank _19"> </span>de <span class="blank _19"> </span>informação <span class="blank _19"> </span>o<span class="blank _0"></span>u <span class="blank _19"> </span>de <span class="blank _19"> </span>cálcu<span class="ls18 ws11">lo<span class="blank _5"> </span></span>: <span class="blank _1a"> </span>quando <span class="blank _19"> </span>o <span class="blank _1a"> </span>aluno <span class="blank _19"> </span>mostra <span class="blank _19"> </span>que </span></div><div class="t m0 x16 h2 y8b ff4 fs0 fc0 sc0 ls4 ws7">compreendeu o conceito e comete um pequeno erro no processo de cálculo. </div><div class="t m0 x31 h2 y8c ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x31 h2 y8d ff4 fs0 fc0 sc0 ls4 ws7">Qual o tip<span class="blank _0"></span>o de erro c<span class="blank _0"></span>ometido pelo <span class="blank _0"></span>aluno que <span class="blank _0"></span>fez a <span class="blank _0"></span>operação como <span class="blank _0"></span>no item (a)? </div><div class="t m0 x31 h2 y8e ff4 fs0 fc1 sc0 ls4 ws7">Trata-se de um equívoco de informação ou de cálculo. </div><div class="t m0 x31 h2 y8f ff4 fs0 fc2 sc0 ls4 ws7">Atribuir (0,5<span class="lse wsf">).</span> </div><div class="t m0 x16 h2 y90 ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x9 h2 y91 ff4 fs0 fc0 sc0 ls4 ws7">(d) Ainda <span class="blank _d"> </span>com <span class="blank _5"> </span>base <span class="blank _d"> </span>na <span class="blank _d"> </span>classificação <span class="blank _5"> </span>descrita <span class="blank _5"> </span>no <span class="blank _d"> </span>item <span class="blank _d"> </span>anterior, <span class="blank _5"> </span>qu<span class="blank _5"> </span>al <span class="blank _5"> </span>o <span class="blank _5"> </span>tipo <span class="blank _d"> </span>de <span class="blank _5"> </span>erro </div><div class="t m0 x16 h2 y92 ff4 fs0 fc0 sc0 ls4 ws7">cometido pelo aluno que fez a operação como no item (b)? </div><div class="t m0 x31 h2 y93 ff4 fs0 fc1 sc0 ls4 ws7">Trata-se de um erro construtivo. </div><div class="t m0 x31 h2 y94 ff4 fs0 fc2 sc0 ls4 ws7">Atribuir (0,5<span class="lse wsf">).</span> </div><div class="t m0 x9 h2 y95 ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h5 y96 ff4 fs1 fc0 sc0 ls4 ws7"> </div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x32 y97 wc h25" alt="" src="https://files.passeidireto.com/780541d9-744e-4e0c-8230-9ec1eaa093ec/bg6.png"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h3 y5 ff2 fs0 fc0 sc0 ls4 ws7">Questão 4 <span class="blank _4"> </span><span class="ff6 fs2 ws3 v1">\udb80\udddb<span class="ws12 v2">\ued38\ued3d\ued48\ued4b\ued4e<span class="blank"> </span>\ue7e3\ue603\ue974\ue7e1\ue972<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\ue974<span class="blank _14"> </span>\ue9ae<span class="blank _14"> </span>\ue973\ue7e1\ue972</span>\udb80\udddc</span><span class="fs2"> </span></div><div class="t m0 x0 h2 y98 ff4 fs0 fc3 sc0 ls4 ws7">É comum os alunos realizarem processos de cálculo de forma não usual. </div><div class="t m0 x0 h2 y99 ff4 fs0 fc3 sc0 ls4 ws7">Observe a multiplicação de frações realizada por um aluno. </div><div class="t m0 x0 h2 y9a ff4 fs0 fc3 sc0 ls19 ws7"> <span class="ff6 ls4 va">\ue974</span></div><div class="t m0 x33 h26 y9b ff6 fs0 fc3 sc0 ls1a">\ue975<span class="ls11 v3">\ue9ae</span><span class="ls4 vb">\ue973</span></div><div class="t m0 x34 h26 y9b ff6 fs0 fc3 sc0 ls1b">\ue974<span class="ls1c v3">\uf34c</span><span class="ls4 vb">\ue976</span></div><div class="t m0 x35 h26 y9b ff6 fs0 fc3 sc0 ls1a">\ue978<span class="ls11 v3">\ue9ae</span><span class="ls4 vb">\ue975</span></div><div class="t m0 x36 h13 y9b ff6 fs0 fc3 sc0 ls4">\ue978</div><div class="t m0 x35 h13 y9c ff6 fs0 fc3 sc0 ls4">\uf416</div><div class="t m0 x2a h23 y9d ff6 fs5 fc3 sc0 ls4 ws13">\uf1be\uf1e7\uf1d4\uf1e3\uf1d4\ue603<span class="blank"> </span>\uf135</div><div class="t m0 x37 h27 y9e ff6 fs0 fc3 sc0 ls1d">\uf34c<span class="ls23 vc">\ue973\ue974</span></div><div class="t m0 x38 h26 y9b ff6 fs0 fc3 sc0 ls23 ws14">\ue975\ue978<span class="blank"> </span><span class="ls15 v3">\uf34c</span><span class="ls4 vb">\ue973</span></div><div class="t m0 x39 h17 y9b ff6 fs0 fc3 sc0 ls4 ws8">\ue975<span class="ff4 ws7 v3"> </span></div><div class="t m0 x0 h2 y9f ff4 fs0 fc0 sc0 ls4 ws7">(a) O aluno <span class="blank _0"></span>realizou fez <span class="blank _0"></span>a conta corr<span class="blank _0"></span>etamente? Explique o <span class="blank _0"></span>processo realizado p<span class="blank _0"></span>or ele. </div><div class="t m0 x9 h2 ya0 ff4 fs0 fc1 sc0 ls4 ws7">Sim. <span class="blank _d"> </span>O <span class="blank _d"> </span>aluno <span class="blank _d"> </span>escreveu <span class="blank _d"> </span>as <span class="blank _12"> </span>frações <span class="blank _5"> </span>iniciais <span class="blank _d"> </span>com <span class="blank _12"> </span>um <span class="blank _5"> </span>mesmo <span class="blank _d"> </span>denominador <span class="blank _d"> </span>comum<span class="blank _5"> </span><span class="ls24">, </span></div><div class="t m0 x9 h2 ya1 ff4 fs0 fc1 sc0 ls4 ws7">equivalentes <span class="blank _1b"> </span>as <span class="blank _1b"> </span>frações <span class="blank _1b"> </span>dadas, <span class="blank _1b"> </span>depois <span class="blank _1b"> </span>realizou <span class="blank _1b"> </span>o <span class="blank _1b"> </span>processo <span class="blank _1b"> </span>de <span class="blank _1b"> </span>multiplicação </div><div class="t m0 x9 h2 ya2 ff4 fs0 fc1 sc0 ls4 ws7">corretamente e, por fim, simplificou as frações. </div><div class="t m0 x0 h2 ya3 ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h2 ya4 ff4 fs0 fc0 sc0 ls4 ws7">(b) Na <span class="blank _14"> </span>fig<span class="blank _5"> </span>ura, <span class="blank _14"> </span>indicamos <span class="blank _6"> </span>na <span class="blank _14"> </span>estratégia <span class="blank _6"> </span>do <span class="blank _14"> </span>aluno <span class="blank _6"> </span>a <span class="blank _6"> </span>Etapa <span class="blank _14"> </span>1. <span class="blank _6"> </span>A <span class="blank _6"> </span>que <span class="blank _14"> </span>você <span class="blank _6"> </span>atribui <span class="blank _14"> </span>o </div><div class="t m0 x9 h2 ya5 ff4 fs0 fc0 sc0 ls4 ws7">raciocínio utilizado pelo aluno nesta etapa? </div><div class="t m0 x0 h2 ya6 ff4 fs0 fc0 sc0 ls1e ws7"> <span class="fc1 ls4 vd">Possivelmente <span class="blank _d"> </span>o <span class="blank _12"> </span>aluno <span class="blank _d"> </span>acredita <span class="blank _d"> </span>que, <span class="blank _12"> </span>como <span class="blank _d"> </span>na <span class="blank _d"> </span>operação <span class="blank _12"> </span>de <span class="blank _d"> </span>adição, <span class="blank _d"> </span>é <span class="blank _12"> </span>necessário </span></div><div class="t m0 x9 h2 y13 ff4 fs0 fc1 sc0 ls4 ws7">reduzir as frações a um mesmo denom<span class="blank _5"> </span>i<span class="blank _0"></span>nador comum para multiplicar frações. </div><div class="t m0 x9 h2 ya7 ff4 fs0 fc1 sc0 ls4 ws7"> </div><div class="t m0 x0 h2 ya8 ff4 fs0 fc2 sc0 ls4 ws7">Item (a) atribuir (0,4) pela resposta sim + (0,6) pela explicação do processo. </div><div class="t m0 x0 h2 ya9 ff4 fs0 fc2 sc0 ls4 ws7">No item (b) atribuir (1,0) por uma justificativa de raciocínio viável.<span class="fc0"> </span></div><div class="t m0 x0 h2 yaa ff4 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h3 yab ff2 fs0 fc0 sc0 ls4 ws7">Questão 5 <span class="blank _1c"> </span><span class="ff6 fs2 ws3 v1">\udb80\udddb<span class="ws15 v2">\ued38\ued3d\ued48\ued4b\ued4e<span class="blank _5"> </span>\ue7e3\ue603\ue974\ue7e1\ue972<span class="blank _6"> </span>\uf34c<span class="blank _6"> </span>\ue972\ue7e1\ue979<span class="blank"> </span>\uf345<span class="blank"> </span>\ue972\ue7e1\ue978<span class="blank"> </span>\uf345<span class="blank"> </span>\ue972\ue7e1\ue979</span><span class="ls2">\udb80\udddc</span></span><span class="fs2"> </span></div><div class="t m0 x0 ha yac ff4 fs1 fc0 sc0 ls4 ws7">Para cal<span class="blank _0"></span>cular <span class="blank _0"></span>o <span class="blank _0"></span>produto<span class="blank _0"></span> <span class="ff6 fs3 v5">\ue969</span></div><div class="t m0 x3a h28 yad ff6 fs3 fc0 sc0 ls1f">\ue96b<span class="fs1 ls20 v6">\ue9ae</span><span class="ls4 v7">\ue96a</span></div><div class="t m0 x3b h28 yad ff6 fs3 fc0 sc0 ls4 ws16">\ue96b<span class="ff7 fs1 ws7 v6"> <span class="blank _0"></span>podemos<span class="blank _0"></span> conside<span class="blank _0"></span>rar i<span class="blank _0"></span>nicial<span class="blank _0"></span>mente <span class="blank _0"></span>a <span class="blank _0"></span>fração <span class="ff6 fs3 v5">\ue969</span></span></div><div class="t m0 x2d h29 yad ff6 fs3 fc0 sc0 ls4 ws16">\ue96b<span class="ff7 fs1 ws7 v6"> <span class="blank _0"></span>representada <span class="blank _0"></span>por <span class="blank _0"></span>uma </span></div><div class="t m0 x0 ha yae ff7 fs1 fc0 sc0 ls4 ws7">parte de um inteiro dividido verticalmente em três partes iguais e a fração <span class="blank _5"> </span><span class="ff6 fs3 v5">\ue96a</span></div><div class="t m0 x3c h2a yaf ff6 fs3 fc0 sc0 ls4 ws16">\ue96b<span class="ff7 fs1 ws7 v6"> representada por </span></div><div class="t m0 x0 h5 yb0 ff7 fs1 fc0 sc0 ls4 ws7">duas partes desse <span class="blank _0"></span>mesmo inteiro divi<span class="blank _0"></span>dido horizo<span class="blank _0"></span>ntalmente em três<span class="blank _0"></span> partes iguais.<span class="ff4"> </span></div><div class="t m0 x3d h5 yb1 ff4 fs1 fc0 sc0 ls4 ws7"> <span class="blank _0"></span> <span class="blank _1d"> </span> </div><div class="t m0 x0 h5 yb2 ff4 fs1 fc0 sc0 ls4 ws7">Sobrepondo <span class="blank _d"> </span>essas <span class="blank _12"> </span>regiões, <span class="blank _d"> </span>a <span class="blank _12"> </span>parte <span class="blank _d"> </span>tracejada, <span class="blank _d"> </span>que <span class="blank _12"> </span>é <span class="blank _12"> </span>comum<span class="blank _0"></span> <span class="blank _12"> </span>às <span class="blank _12"> </span>dua<span class="blank _0"></span>s <span class="blank _d"> </span>f<span class="blank _5"> </span>raçõe<span class="blank _0"></span>s, <span class="blank _12"> </span>representa <span class="blank _d"> </span>o </div><div class="t m0 x0 h5 yb3 ff4 fs1 fc0 sc0 ls4 ws7">resultado, neste ca<span class="blank _0"></span>so: duas par<span class="blank _0"></span>tes de um intei<span class="blank _0"></span>ro agora dividido<span class="blank _0"></span> em 9 partes iguai<span class="blank _0"></span>s. </div><div class="t m0 x3e h5 yb4 ff4 fs1 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h2b yb5 ff4 fs1 fc0 sc0 ls4 ws7">Com isso, <span class="blank _5"> </span><span class="ff6 fs3 v5">\ue969</span></div><div class="t m0 x32 h2c yb6 ff6 fs3 fc0 sc0 ls1f">\ue96b<span class="fs1 ls20 v6">\ue9ae</span><span class="ls4 v7">\ue96a</span></div><div class="t m0 x3f h2c yb6 ff6 fs3 fc0 sc0 ls21">\ue96b<span class="fs1 ls22 v6">\uf34c</span><span class="ls4 v7">\ue96a</span></div><div class="t m0 x11 hb yb6 ff6 fs3 fc0 sc0 ls4 ws16">\ue971<span class="ff7 fs1 ws2 v6">.<span class="ff4 ws7"> </span></span></div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x16 yb7 wd h10" alt="" src="https://files.passeidireto.com/780541d9-744e-4e0c-8230-9ec1eaa093ec/bg7.png"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h5 y35 ff7 fs1 fc0 sc0 ls4 ws7">Baseado na mes<span class="blank _0"></span>ma linha de raciocínio,<span class="blank _0"></span> <span class="ff3 ws0">responda</span> às seguin<span class="blank _0"></span>tes perguntas. <span class="ff4"> </span></div><div class="t m0 x0 h5 yb8 ff4 fs1 fc0 sc0 ls4 ws7">(a) <span class="blank _b"> </span><span class="ff7">Explique o produto<span class="blank _0"></span> realizado no esque<span class="blank _0"></span>ma a segui<span class="blank _0"></span>r. Identifique os<span class="blank _0"></span> dois fatores, o </span></div><div class="t m0 x9 h5 yb9 ff7 fs1 fc0 sc0 ls4 ws7">resultado e expli<span class="blank _0"></span>que o procedi<span class="blank _0"></span>mento.<span class="ff4"> </span></div><div class="t m0 x40 h5 yba ff4 fs1 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 h5 ybb ff4 fs1 fc1 sc0 ls4 ws7">Resposta: <span class="blank _15"></span><span class="ff7">Na <span class="blank _16"></span>multiplicação <span class="blank _15"></span>foi <span class="blank _15"></span>considerada <span class="blank _15"></span>inicial<span class="blank _0"></span>mente <span class="blank _15"></span>a <span class="blank _15"></span>fração </span></div><div class="t m0 x41 he ybc ff6 fs3 fc1 sc0 ls4">\ue96a</div><div class="t m0 x41 h2a ybd ff6 fs3 fc1 sc0 ls4 ws16">\ue96b<span class="ff7 fs1 ws7 v6"> <span class="blank _15"></span>representada <span class="blank _16"></span>por <span class="blank _15"></span>uma <span class="blank _15"></span>parte </span></div><div class="t m0 x0 h2d ybe ff7 fs1 fc1 sc0 ls4 ws7">de um <span class="blank _5"> </span>inteiro dividido verticalmente em três <span class="blank _5"> </span>parte<span class="blank _0"></span>s iguais <span class="blank _5"> </span>e a fração <span class="blank _12"> </span><span class="ff6 fs3 v5">\ue969</span></div><div class="t m0 x42 h2a ybf ff6 fs3 fc1 sc0 ls4 ws16">\ue96b<span class="ff7 fs1 ws7 v6"> representada por <span class="blank _5"> </span>duas<span class="blank _0"></span> </span></div><div class="t m0 x0 h5 yc0 ff7 fs1 fc1 sc0 ls4 ws7">partes deste mesmo<span class="blank _0"></span> inteiro dividido horizontalme<span class="blank _0"></span>nte em três partes iguais. A<span class="blank _5"> </span><span class="ff4"> parte tracejada,<span class="blank _0"></span> </span></div><div class="t m0 x0 h5 yc1 ff4 fs1 fc1 sc0 ls4 ws7">que <span class="blank _12"> </span>é <span class="blank _b"> </span>comum <span class="blank _12"> </span>às <span class="blank _12"> </span>duas <span class="blank _12"> </span>frações, <span class="blank _12"> </span>representa <span class="blank _12"> </span>o <span class="blank _12"> </span>resultado, <span class="blank _12"> </span>neste <span class="blank _12"> </span>caso: <span class="blank _b"> </span>2 <span class="blank _12"> </span>partes <span class="blank _12"> </span>de <span class="blank _b"> </span>um <span class="blank _12"> </span>inteiro </div><div class="t m0 x0 ha yc2 ff4 fs1 fc1 sc0 ls4 ws7">agora dividido em<span class="blank _0"></span> 9 partes iguais, <span class="ff7">obtendo que<span class="blank _0"></span> <span class="ff6 fs3 v5">\ue96a</span></span></div><div class="t m0 x43 hc yc3 ff6 fs3 fc1 sc0 ls1f">\ue96b<span class="fs1 ls25 v6">\ue9ae</span><span class="ls4 v7">\ue969</span></div><div class="t m0 x44 hc yc3 ff6 fs3 fc1 sc0 ls21">\ue96b<span class="fs1 ls22 v6">\uf34c</span><span class="ls4 v7">\ue96a</span></div><div class="t m0 x45 hb yc3 ff6 fs3 fc1 sc0 ls4 ws16">\ue971<span class="ff7 fs1 ws2 v6">.<span class="ff4 ws7"> </span></span></div><div class="t m0 x0 h5 yc4 ff4 fs1 fc2 sc0 ls4 ws7">Atribuir <span class="blank _d"> </span>(0,7) <span class="blank _12"> </span>sendo<span class="blank _0"></span> <span class="blank _d"> </span>(<span class="blank _5"> </span>0,2) <span class="blank _d"> </span>pela <span class="blank _d"> </span>caracterização<span class="blank _0"></span> <span class="blank _12"> </span>de <span class="blank _d"> </span>cada <span class="blank _12"> </span>intei<span class="blank _0"></span>ro <span class="blank _d"> </span>+ <span class="blank _12"> </span>(0,2) <span class="blank _12"> </span>pela <span class="blank _d"> </span>caracterização <span class="blank _d"> </span>da </div><div class="t m0 x0 h5 y72 ff4 fs1 fc2 sc0 ls4 ws7">região comum<span class="blank _0"></span> + (0,3) pela operação de <span class="blank _0"></span>multiplicação e do<span class="blank _0"></span> resultado.<span class="fc0"> </span></div><div class="t m0 x0 h5 yc5 ff7 fs1 fc0 sc0 ls4 ws2">(b)<span class="ff4 ls26 ws7"> </span><span class="ws7">Qual a diferença<span class="blank _0"></span> entre o esque<span class="blank _0"></span>ma apresentado n<span class="blank _0"></span>o exemplo e o<span class="blank _0"></span> apresentado no ite<span class="blank _0"></span>m (a)?<span class="ff4"> </span></span></div><div class="t m0 x0 h5 yc6 ff4 fs1 fc1 sc0 ls4 ws7">Resposta: A dife<span class="blank _0"></span>rença entre<span class="blank _0"></span> o processo do enun<span class="blank _0"></span>ciado e o do ite<span class="blank _0"></span>m (a) foi <span class="blank _0"></span>a mudança da </div><div class="t m0 x0 h5 yc7 ff4 fs1 fc1 sc0 ls4 ws7">representação da<span class="blank _0"></span> parte do intei<span class="blank _0"></span>ro na vertical pa<span class="blank _0"></span>ra a horizontal<span class="blank _0"></span> em cada fr<span class="blank _0"></span>ação, mas o </div><div class="t m0 x0 h5 yc8 ff4 fs1 fc1 sc0 ls4 ws7">raciocínio foi exa<span class="blank _0"></span>tamente o mes<span class="blank _0"></span>mo e o resultado<span class="blank _0"></span> também. (Tra<span class="blank _0"></span>ta-se de uma boa </div><div class="t m0 x0 h5 yc9 ff4 fs1 fc1 sc0 ls4 ws7">oportunidade para e<span class="blank _0"></span>xplorar a<span class="blank _0"></span> propriedade comuta<span class="blank _0"></span>tiva da multipli<span class="blank _0"></span>cação de números<span class="blank _0"></span> racionais </div><div class="t m0 x0 h5 yca ff4 fs1 fc1 sc0 ls5 ws1">pos<span class="ls4 ws2">itivos).<span class="fc0 ws7"> </span></span></div><div class="t m0 x0 h5 ycb ff4 fs1 fc2 sc0 ls4 ws7">Atribuir (0,6) pa<span class="blank _0"></span>ra respostas que<span class="blank _0"></span> identifiquem que<span class="blank _0"></span> a operação real<span class="blank _0"></span>izada foi a mes<span class="blank _0"></span>ma.<span class="fc0"> </span></div><div class="t m0 x0 h5 y1b ff7 fs1 fc0 sc0 ls4 ws2">(c)<span class="ff4 ls27 ws7"> </span><span class="ws7">Explique agora qual<span class="blank _0"></span> o produto foi<span class="blank _0"></span> realizado no es<span class="blank _0"></span>quema a seguir. <span class="blank _0"></span>Identifique os dois<span class="blank _0"></span> </span></div><div class="t m0 x9 h5 ycc ff7 fs1 fc0 sc0 ls4 ws7">fatores e expliqu<span class="blank _0"></span>e o procedi<span class="blank _0"></span>mento.<span class="ff4"> </span></div><div class="t m0 x40 h5 ycd ff4 fs1 fc0 sc0 ls4 ws7"> </div><div class="t m0 x0 ha yce ff7 fs1 fc1 sc0 ls4 ws7">Resposta: <span class="blank _15"></span>Na <span class="blank _15"></span>multipl<span class="blank _0"></span>icação <span class="blank _15"></span>foi <span class="blank _15"></span>considerada <span class="blank _15"></span>inicial<span class="blank _0"></span>mente <span class="blank _15"></span>a <span class="blank _15"></span>fração <span class="ff6 fs3 v5">\ue969</span></div><div class="t m0 x41 h2a ycf ff6 fs3 fc1 sc0 ls4 ws16">\ue96a<span class="ff7 fs1 ws7 v6"> <span class="blank _15"></span>representada <span class="blank _15"></span>por<span class="blank _0"></span> <span class="blank _15"></span>uma <span class="blank _15"></span>parte </span></div><div class="t m0 x0 ha yd0 ff7 fs1 fc1 sc0 ls4 ws7">de <span class="blank _b"> </span>um <span class="blank _b"> </span>inteiro <span class="blank _b"> </span>dividido <span class="blank _12"> </span>verticalmente <span class="blank _b"> </span>em <span class="blank _b"> </span>2 <span class="blank _b"> </span>partes <span class="blank _b"> </span>iguais <span class="blank _b"> </span>e <span class="blank _b"> </span>a <span class="blank _12"> </span>fr<span class="blank _5"> </span>ação<span class="blank _0"></span> <span class="blank _e"> </span><span class="ff6 fs3 v5">\ue96b</span></div><div class="t m0 x2d h2a yd1 ff6 fs3 fc1 sc0 ls28">\ue96d<span class="ff7 fs1 ls4 ws7 v6"> <span class="blank _b"> </span>representada <span class="blank _12"> </span>por <span class="blank _b"> </span>três </span></div><div class="t m0 x0 h5 yd2 ff7 fs1 fc1 sc0 ls4 ws7">partes <span class="blank _12"> </span>deste <span class="blank _12"> </span>mesmo <span class="blank _d"> </span>inteiro <span class="blank _12"> </span>dividido <span class="blank _d"> </span>horizontalmente <span class="blank _12"> </span>em <span class="blank _12"> </span>5 <span class="blank _12"> </span>partes <span class="blank _12"> </span>iguais.<span class="blank _0"></span> <span class="blank _12"> </span>A<span class="blank _5"> </span><span class="ff4"> <span class="blank _12"> </span>parte <span class="blank _12"> </span>tracejada, </span></div><div class="t m0 x0 h5 yd3 ff4 fs1 fc1 sc0 ls4 ws7">que <span class="blank _12"> </span>é <span class="blank _b"> </span>comum <span class="blank _12"> </span>às <span class="blank _12"> </span>duas <span class="blank _12"> </span>frações, <span class="blank _12"> </span>representa <span class="blank _12"> </span>o <span class="blank _12"> </span>resultado, <span class="blank _12"> </span>neste <span class="blank _12"> </span>caso: <span class="blank _b"> </span>3 <span class="blank _12"> </span>partes <span class="blank _12"> </span>de <span class="blank _b"> </span>um <span class="blank _12"> </span>inteiro </div><div class="t m0 x0 ha yd4 ff4 fs1 fc1 sc0 ls4 ws7">agora dividido em<span class="blank _0"></span> 10 partes iguais,<span class="blank _0"></span> <span class="ff7">obtendo que <span class="ff6 fs3 v5">\ue969</span></span></div><div class="t m0 x46 hc yd5 ff6 fs3 fc1 sc0 ls29">\ue96a<span class="fs1 ls20 v6">\ue9ae</span><span class="ls4 v7">\ue96b</span></div><div class="t m0 x47 hc yd5 ff6 fs3 fc1 sc0 ls2a">\ue96d<span class="fs1 ls2b v6">\uf34c</span><span class="ls4 v7">\ue96b</span></div><div class="t m0 x48 hb yd5 ff6 fs3 fc1 sc0 ls2c ws17">\ue969\ue968<span class="ff7 fs1 ls1 v6">.<span class="ff4 ls4 ws7"> </span></span></div><div class="t m0 x0 h5 yd6 ff4 fs1 fc2 sc0 ls4 ws7">Atribuir <span class="blank _d"> </span>(0,7) <span class="blank _12"> </span>sendo<span class="blank _0"></span> <span class="blank _d"> </span>(<span class="blank _5"> </span>0,2<span class="blank _0"></span>) <span class="blank _12"> </span>pela<span class="blank _0"></span> <span class="blank _12"> </span>caracte<span class="blank _0"></span>rização <span class="blank _d"> </span>de <span class="blank _d"> </span>cada <span class="blank _12"> </span>inteiro <span class="blank _d"> </span>+ <span class="blank _12"> </span>(0,2<span class="blank _0"></span>) <span class="blank _12"> </span>pela <span class="blank _d"> </span>caracterização<span class="blank _0"></span> <span class="blank _12"> </span>da </div><div class="t m0 x0 h5 yd7 ff4 fs1 fc2 sc0 ls4 ws7">região comum +<span class="blank _0"></span> (0,3) pela operação<span class="blank _0"></span> de multiplicaçã<span class="blank _0"></span>o e do resultado.<span class="fc0"> </span></div></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div> <div id="pf8" class="pf we h2e" data-page-no="8"><div class="pc pc8 we h2e"><img fetchpriority="low" loading="lazy" class="bi x1 y1 we h2e" alt="" src="https://files.passeidireto.com/780541d9-744e-4e0c-8230-9ec1eaa093ec/bg8.png"></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
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