tag:blogger.com,1999:blog-50404998203966638702024-03-05T10:01:53.909-08:00MATEMÁTICA - 6ºanoUnknownnoreply@blogger.comBlogger150125tag:blogger.com,1999:blog-5040499820396663870.post-37056556051457628752019-05-22T05:46:00.001-07:002019-05-22T05:46:50.816-07:00Ficha de trabalho global com exercícios resolvidos<iframe class="scribd_iframe_embed" title="Ficha de trabalho global (exercícios resolvidos)" src="https://www.scribd.com/embeds/411093377/content?start_page=1&view_mode=scroll&show_recommendations=false&access_key=key-jbTLhEavWcUbYn5cf326" data-auto-height="true" data-aspect-ratio="null" scrolling="no" width="100%" height="600" frameborder="0"></iframe>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-36703360256322383322019-05-20T14:09:00.000-07:002019-05-20T14:09:54.876-07:00Eliminação do parêntesis: JOGO DO SINAL<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-family: "georgia" , "times new roman" , serif;"><span style="background-color: white; text-align: justify;">Para eliminarmos os parênteses devemos realizar um jogo de sinal, observa: </span><br style="background: 0px 0px rgb(255, 255, 255); margin: 0px; outline: 0px; padding: 0px; text-align: justify;" /><br style="background: 0px 0px rgb(255, 255, 255); margin: 0px; outline: 0px; padding: 0px; text-align: justify;" /><b><span style="color: blue;"><span style="background-color: white; text-align: justify;">+ ( + ) = + </span><br style="background: 0px 0px rgb(255, 255, 255); margin: 0px; outline: 0px; padding: 0px; text-align: justify;" /><span style="background-color: white; text-align: justify;">+ ( – ) = – </span><br style="background: 0px 0px rgb(255, 255, 255); margin: 0px; outline: 0px; padding: 0px; text-align: justify;" /><span style="background-color: white; text-align: justify;">– ( + ) = – </span><br style="background: 0px 0px rgb(255, 255, 255); margin: 0px; outline: 0px; padding: 0px; text-align: justify;" /><span style="background-color: white; text-align: justify;">– ( – ) = + </span></span></b></span><br />
<span style="font-family: "georgia" , "times new roman" , serif;"><b><span style="color: blue;"><span style="background-color: white; text-align: justify;"><br /></span></span></b></span>
<span style="font-family: "georgia" , "times new roman" , serif;"><b><span style="color: blue;"><span style="background-color: white; text-align: justify;">Exemplo I</span></span></b></span><br />
<span style="font-family: "georgia" , "times new roman" , serif;"><b><span style="color: blue;"><span style="background-color: white; text-align: justify;"><br /></span></span></b></span>
<span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b><span style="background-color: white; text-align: justify;">(+3) + (-5) - (-4)=</span></b></span><br />
<span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b><span style="background-color: white; text-align: justify;">=3 - 5 + 4=</span></b></span><br />
<span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b><span style="background-color: white; text-align: justify;">=7 - 5 = 2</span></b></span><br />
<span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b><span style="background-color: white; text-align: justify;"><br /></span></b></span>
<b style="font-family: Georgia, "Times New Roman", serif;"><span style="color: blue;"><span style="background-color: white; text-align: justify;">Exemplo II</span></span></b><br />
<b style="font-family: Georgia, "Times New Roman", serif;"><span style="color: blue;"><span style="background-color: white; text-align: justify;"><br /></span></span></b>
<span style="background-color: white;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b>(-5) + (+2) - (-1) + (-7)=</b></span></span><br />
<span style="background-color: white;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b>=-5 +2 + 1 -7=</b></span></span><br />
<span style="background-color: white;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b>=-12 + 3</b></span></span><br />
<span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><span style="background-color: white;"><b>= -9</b></span></span><br />
<span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><span style="background-color: white;"><b><br /></b></span></span>
<b style="font-family: Georgia, "Times New Roman", serif;"><span style="color: blue;"><span style="background-color: white; text-align: justify;">Exemplo III</span></span></b><br />
<b><span style="background-color: white; text-align: justify;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><br /></span></span></b>
<span style="background-color: white;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b>-21 -7 -6 -(-15) -2 -(-10)=</b></span></span><br />
<span style="background-color: white;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b>=</b></span></span><b style="background-color: white; color: #351c75; font-family: Georgia, "Times New Roman", serif;">-21 -7 -6 +15 -2 + 10</b><br />
<b style="background-color: white; color: #351c75; font-family: Georgia, "Times New Roman", serif;">= -36 + 25</b><br />
<b style="background-color: white; color: #351c75; font-family: Georgia, "Times New Roman", serif;">=-11</b><br />
<b style="background-color: white; color: #351c75; font-family: Georgia, "Times New Roman", serif;"><br /></b>
<br />
<div style="text-align: justify;">
<span style="background-color: white;"><b><span style="color: #990000; font-family: "georgia" , "times new roman" , serif;">Ao eliminarmos os parêntesis e o sinal de </span><span style="color: red; font-family: "georgia" , "times new roman" , serif; font-size: large;">-</span><span style="color: #990000; font-family: "georgia" , "times new roman" , serif;"> que os precede, devemos trocar os sinais dos números contidos nos parêntesis.</span></b></span></div>
<div style="text-align: justify;">
<span style="background-color: white;"><b><span style="color: #990000; font-family: "georgia" , "times new roman" , serif;"><br /></span></b></span></div>
<div style="text-align: justify;">
<span style="background-color: white; text-align: start;"><span style="color: #674ea7; font-family: "georgia" , "times new roman" , serif;"><b>-(4 - 2 + 13) = -4 + 2 - 13</b></span></span></div>
<div style="text-align: justify;">
<span style="background-color: white; text-align: start;"><span style="color: #674ea7; font-family: "georgia" , "times new roman" , serif;"><b> =-17 +2</b></span></span></div>
<div style="text-align: justify;">
<span style="background-color: white; text-align: start;"><span style="color: #674ea7; font-family: "georgia" , "times new roman" , serif;"><b> = -15</b></span></span></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-63495084972481863762019-05-20T09:45:00.000-07:002019-05-20T09:45:00.725-07:00SUBTRAÇÃO de números racionais<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="text-align: justify;">
<span style="background-color: white;"><span style="font-family: Georgia, Times New Roman, serif;"><span style="color: #330000;">Para subtraímos dois números racionais, basta que adicionemos ao primeiro (aditivo) o simétrico do segundo.</span></span></span></div>
<div style="text-align: justify;">
<span style="background-color: white;"><span style="color: blue; font-family: Georgia, Times New Roman, serif;"><b>Exemplo I</b></span></span></div>
<div style="text-align: justify;">
<b style="color: #351c75; font-family: Georgia, "Times New Roman", serif;">(+3) - (+10)= (+3) + (-10)= -7</b></div>
<div style="text-align: justify;">
<span style="color: #351c75; font-family: Georgia, Times New Roman, serif;"><span style="background-color: white;"><b><br /></b></span></span></div>
<div style="text-align: justify;">
<b style="background-color: white; color: blue; font-family: Georgia, "Times New Roman", serif;">Exemplo II</b></div>
<div style="text-align: justify;">
<span style="color: #351c75; font-family: Georgia, Times New Roman, serif;"><span style="background-color: white;"><b>(-10) - (-11) = (-10) + (+11)= +1</b></span></span></div>
<div style="text-align: justify;">
<span style="color: #351c75; font-family: Georgia, Times New Roman, serif;"><span style="background-color: white;"><b><br /></b></span></span></div>
<div style="text-align: justify;">
<b style="background-color: white; color: blue; font-family: Georgia, "Times New Roman", serif;">Exemplo III</b></div>
<div style="text-align: justify;">
<span style="color: #351c75; font-family: Georgia, Times New Roman, serif;"><span style="background-color: white;"><b>(-10) + (-1) - (+2) - (-12)=</b></span></span></div>
<div style="text-align: justify;">
<span style="color: #351c75; font-family: Georgia, Times New Roman, serif;"><span style="background-color: white;"><b>= (-11 ) + ( -2) +(+12)=</b></span></span></div>
<div style="text-align: justify;">
<span style="color: #351c75; font-family: Georgia, Times New Roman, serif;"><span style="background-color: white;"><b>=</b></span></span><b style="color: #351c75; font-family: Georgia, "Times New Roman", serif;">(-13) + (+12)</b></div>
<div style="text-align: justify;">
<b style="color: #351c75; font-family: Georgia, "Times New Roman", serif;">= -1</b></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-6064314560109819672019-05-20T08:54:00.001-07:002019-05-20T08:54:27.157-07:00Jogo da Adição (seleciona inteiros)<div dir="ltr" style="text-align: left;" trbidi="on">
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Nota: podes jogar sozinho (a) ou convidar um (a) colega ou amigo (a).</div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-33466260995309906302019-05-20T07:59:00.000-07:002019-05-22T04:24:11.569-07:00Adição de números racionais<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="background-color: white; text-align: justify;"><span style="font-family: "georgia" , "times new roman" , serif;"><b>1ª Propriedade: sinais iguais: soma e conserva o sinal. </b></span></span><br />
<span style="background-color: white; text-align: justify;"><span style="font-family: "georgia" , "times new roman" , serif;"><br /></span></span>
<span style="background-color: white; text-align: justify;"><b><span style="color: blue; font-family: "georgia" , "times new roman" , serif;">Exemplo I</span></b></span><br />
<span style="background-color: white; text-align: justify;"><span style="font-family: "georgia" , "times new roman" , serif;"><br /></span></span>
<span style="background-color: white; text-align: justify;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b>(+5) + (+10) = + 15</b></span></span><br />
<span style="background-color: white; text-align: justify;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><b>(-18) + (-5) = - 23</b></span></span><br />
<span style="background-color: white; text-align: justify;"><span style="font-family: "georgia" , "times new roman" , serif;"><br /></span></span>
<b><span style="background-color: white; text-align: justify;"><span style="font-family: "georgia" , "times new roman" , serif;">2* Propriedade: </span></span><span style="background-color: white; font-family: "raleway"; font-size: 20px; text-align: justify;">sinais diferentes: subtrai e conserva o sinal do número de maior valor absoluto.</span></b><br />
<b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><br /></span></b>
<b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;">Exemplo II</span></b><br />
<b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><br /></span></b>
<b style="text-align: justify;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;">(+ 18 ) + (-7)= + 11</span></b><br />
<b style="text-align: justify;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;">(+6) + ( - 24) = - 18</span></b><br />
<b style="text-align: justify;"><span style="color: #351c75; font-family: "georgia" , "times new roman" , serif;"><br /></span></b>
<b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;">Exemplo III</span></b><br />
<b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><br /></span></b>
<b style="text-align: justify;"><span style="color: #674ea7; font-family: "georgia" , "times new roman" , serif;">(+10) + (-7) + (+12) + (-15) + (+2) + (-1)= </span></b><br />
<b style="text-align: justify;"><span style="color: #674ea7; font-family: "georgia" , "times new roman" , serif;">=(+24) + (-23)=</span></b><br />
<b style="text-align: justify;"><span style="color: #674ea7; font-family: "georgia" , "times new roman" , serif;">= +1</span></b><br />
<b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><br /></span></b>
<b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;">Nota:</span></b><br />
<b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;"><span style="background-color: white; color: black; font-family: "trebuchet ms" , "trebuchet" , sans-serif; font-size: 12pt; line-height: 24px; text-indent: -24px;"><span style="font-family: "calibri";">Quando adicionamos um número positivo e um número negativo com o mesmo valor absoluto, o resultado é sempre zero. Isto é conhecido como adição de números simétricos.</span></span></span></b><b style="text-align: justify;"><span style="color: blue; font-family: "georgia" , "times new roman" , serif;">(+4) + (-4)= 0</span></b></div>
Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-5040499820396663870.post-83297027985985272952019-05-20T07:40:00.006-07:002019-05-20T07:40:57.192-07:00Colocar valores absolutos na reta numérica - VER VÍDEO<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="color: red; font-family: Georgia, Times New Roman, serif;"><b><a href="https://pt-pt.khanacademy.org/math/7ano/x24f1e210b94e572b:numeros-e-operacoes-numeros-racionais/x24f1e210b94e572b:valor-absoluto/v/sorting-absolute-values-on-number-line?modal=1">(Clica na imagem)</a></b></span></div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-64953342107455818402019-05-20T07:37:00.001-07:002019-05-20T07:37:26.282-07:00O que é o valor absoluto?<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-family: Georgia, Times New Roman, serif;"><span style="background-color: white; color: #21242c;">O valor absoluto de um número é a sua distância de </span><span style="background-color: white; border: 0px; box-sizing: inherit; color: #21242c; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: nowrap;"><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span><span aria-describedby="katex-98" aria-hidden="true" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span class="katex" style="border: 0px; box-sizing: inherit; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: auto; vertical-align: baseline;"><span class="katex-mathml" style="border: 0px; box-sizing: inherit; clip: rect(1px, 1px, 1px, 1px); font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: 0px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;"><math><semantics><annotation encoding="application/x-tex">0</annotation></semantics></math></span><span aria-hidden="true" class="katex-html" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span class="strut" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 0.64444em; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span><span class="strut bottom" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 0.64444em; line-height: inherit; margin: 0px; padding: 0px; vertical-align: 0em;"></span><span class="base" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; position: relative; vertical-align: baseline;"><span class="mord" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;">0</span></span></span></span></span><span id="katex-98" style="border: 0px; box-sizing: inherit; clip: rect(0px, 0px, 0px, 0px); font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: -1px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;">0</span></span><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span><span style="background-color: white; color: #21242c;">.</span></span><br />
<span style="background-color: white; color: #21242c;"><span style="font-family: Georgia, Times New Roman, serif;"><br /></span></span>
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<span style="color: blue; font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white;"><b>I-4I = 4 </b></span></span><br />
<span style="color: blue; font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white;"><b>I+4I= 4</b></span></span><br />
<span style="font-family: Georgia, Times New Roman, serif;"><span style="background-color: white; border: 0px; box-sizing: inherit; color: #21242c; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: nowrap;"><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span aria-describedby="katex-103" aria-hidden="true" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span class="katex" style="border: 0px; box-sizing: inherit; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: auto; vertical-align: baseline;"><span aria-hidden="true" class="katex-html" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span class="base" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; position: relative; vertical-align: baseline;"><span class="mord" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;">4</span></span></span></span></span><span id="katex-103" style="border: 0px; box-sizing: inherit; clip: rect(0px, 0px, 0px, 0px); font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: -1px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;">4</span></span><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span><span style="background-color: white; color: #21242c;"> e </span><span style="background-color: white; border: 0px; box-sizing: inherit; color: #21242c; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: nowrap;"><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span><span aria-describedby="katex-104" aria-hidden="true" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span class="katex" style="border: 0px; box-sizing: inherit; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: auto; vertical-align: baseline;"><span class="katex-mathml" style="border: 0px; box-sizing: inherit; clip: rect(1px, 1px, 1px, 1px); font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: 0px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;"><math><semantics><annotation encoding="application/x-tex">-4</annotation></semantics></math></span><span aria-hidden="true" class="katex-html" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span class="strut" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 0.64444em; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span><span class="strut bottom" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 0.72777em; line-height: inherit; margin: 0px; padding: 0px; vertical-align: -0.08333em;"></span><span class="base" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; position: relative; vertical-align: baseline;"><span class="mord" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;">−</span><span class="mord" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;">4</span></span></span></span></span><span id="katex-104" style="border: 0px; box-sizing: inherit; clip: rect(0px, 0px, 0px, 0px); font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: -1px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;">minus, 4</span></span><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span><span style="background-color: white; color: #21242c;"> estão à mesma distância de </span><span style="background-color: white; border: 0px; box-sizing: inherit; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: nowrap;"><span style="color: #21242c;"><span style="border-color: initial; border-image: initial; border-style: initial; border: 0px; box-sizing: inherit; box-sizing: inherit; font-stretch: inherit; font-stretch: inherit; font-style: inherit; font-style: inherit; font-variant: inherit; font-variant: inherit; font-weight: inherit; font-weight: inherit; line-height: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span style="color: #21242c; font-weight: inherit;"><span style="border-color: initial; border-image: initial; border-style: initial; border: 0px; box-sizing: inherit; box-sizing: inherit; font-stretch: inherit; font-stretch: inherit; font-style: inherit; font-style: inherit; font-variant: inherit; font-variant: inherit; font-weight: inherit; font-weight: inherit; line-height: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span><span aria-describedby="katex-105" aria-hidden="true" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span class="katex" style="border: 0px; box-sizing: inherit; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: auto; vertical-align: baseline;"><span class="katex-mathml" style="border: 0px; box-sizing: inherit; clip: rect(1px, 1px, 1px, 1px); color: #21242c; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: 0px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;"><math><semantics><annotation encoding="application/x-tex">0</annotation></semantics></math></span><span aria-hidden="true" class="katex-html" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span style="color: red;"><b><span class="strut" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; height: 0.64444em; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span><span class="strut bottom" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; height: 0.64444em; line-height: inherit; margin: 0px; padding: 0px; vertical-align: 0em;"></span><span class="base" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; position: relative; vertical-align: baseline;"><span class="mord" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;">0</span></span></b></span></span></span></span><span id="katex-105" style="border: 0px; box-sizing: inherit; clip: rect(0px, 0px, 0px, 0px); color: #21242c; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: -1px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;">0</span></span><span style="color: #21242c;"><span style="border-color: initial; border-image: initial; border-style: initial; border: 0px; box-sizing: inherit; box-sizing: inherit; font-stretch: inherit; font-stretch: inherit; font-style: inherit; font-style: inherit; font-variant: inherit; font-variant: inherit; font-weight: inherit; font-weight: inherit; line-height: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span></span><span style="background-color: white; color: #21242c;">, pelo que têm o mesmo valor absoluto de </span><span style="background-color: white; border: 0px; box-sizing: inherit; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline; white-space: nowrap;"><span style="color: #21242c;"><span style="border-color: initial; border-image: initial; border-style: initial; border: 0px; box-sizing: inherit; box-sizing: inherit; font-stretch: inherit; font-stretch: inherit; font-style: inherit; font-style: inherit; font-variant: inherit; font-variant: inherit; font-weight: inherit; font-weight: inherit; line-height: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span><span style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span style="color: #21242c; font-weight: inherit;"><span style="border-color: initial; border-image: initial; border-style: initial; border: 0px; box-sizing: inherit; box-sizing: inherit; font-stretch: inherit; font-stretch: inherit; font-style: inherit; font-style: inherit; font-variant: inherit; font-variant: inherit; font-weight: inherit; font-weight: inherit; line-height: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span><span aria-describedby="katex-106" aria-hidden="true" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span class="katex" style="border: 0px; box-sizing: inherit; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: 1.2; margin: 0px; padding: 0px; text-rendering: auto; vertical-align: baseline;"><span class="katex-mathml" style="border: 0px; box-sizing: inherit; clip: rect(1px, 1px, 1px, 1px); color: #21242c; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: 0px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;"><math><semantics><annotation encoding="application/x-tex">\blueD4</annotation></semantics></math></span><span aria-hidden="true" class="katex-html" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"><span style="color: #990000;"><b><span class="strut" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; height: 0.64444em; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span><span class="strut bottom" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; height: 0.64444em; line-height: inherit; margin: 0px; padding: 0px; vertical-align: 0em;"></span><span class="base" style="border: 0px; box-sizing: inherit; display: inline-block; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; position: relative; vertical-align: baseline;"><span class="mord" style="border: 0px; box-sizing: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;">4</span></span></b></span></span></span></span><span id="katex-106" style="border: 0px; box-sizing: inherit; clip: rect(0px, 0px, 0px, 0px); color: #21242c; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: inherit; height: 1px; line-height: inherit; margin: -1px; overflow: hidden; padding: 0px; position: absolute; vertical-align: baseline; width: 1px;">start color blueD, 4, end color blueD</span></span><span style="color: #21242c;"><span style="border-color: initial; border-image: initial; border-style: initial; border: 0px; box-sizing: inherit; box-sizing: inherit; font-stretch: inherit; font-stretch: inherit; font-style: inherit; font-style: inherit; font-variant: inherit; font-variant: inherit; font-weight: inherit; font-weight: inherit; line-height: inherit; line-height: inherit; margin: 0px; padding: 0px; vertical-align: baseline;"></span></span></span><span style="background-color: white; color: #21242c;">.</span></span><br />
<span style="background-color: white; color: #21242c; font-family: Lato, Helvetica, Corbel, sans-serif; font-size: 20px;"><br /></span>
<br /></div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-73105461737539740812019-05-20T06:44:00.000-07:002019-05-20T07:08:21.555-07:00Porque é que precisamos de números negativos? <div dir="ltr" style="text-align: left;" trbidi="on">
<div class="paragraph" data-perseus-paragraph-index="0" style="background-color: white; border: 0px; box-sizing: inherit; font-stretch: inherit; line-height: 30px; margin: 0px auto; max-width: 688px; padding: 0px; vertical-align: baseline;">
<h2 style="border: 0px; box-sizing: inherit; color: #21242c; font-stretch: inherit; font-style: inherit; font-variant: inherit; line-height: 1.1; margin: 48px 0px 16px; padding: 0px; vertical-align: baseline;">
<span style="font-family: "georgia" , "times new roman" , serif; font-size: small;">Os números negativos ajudam-nos a descrever números menores do que zero.</span></h2>
<div class="separator" style="clear: both; color: #21242c; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWP2Jlg29qUuxFWq_k0n9nEj9ZlDNyUH4EzGlJGIQmapl4NxDAb06QzgnKsbG2YoWZI8iidMsthZbjAhLE6XLow28BCixQth7Ktgxa0UcKxFpOcEJoYbUZVpJr3kLi76dhpFxm64s9EQxh/s1600/N%25C3%25BAmeros+negativos+e+n%25C3%25BAmeros+positivos.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="526" data-original-width="1208" height="139" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWP2Jlg29qUuxFWq_k0n9nEj9ZlDNyUH4EzGlJGIQmapl4NxDAb06QzgnKsbG2YoWZI8iidMsthZbjAhLE6XLow28BCixQth7Ktgxa0UcKxFpOcEJoYbUZVpJr3kLi76dhpFxm64s9EQxh/s320/N%25C3%25BAmeros+negativos+e+n%25C3%25BAmeros+positivos.png" width="320" /></a></div>
<div>
<div class="MsoNormal" style="background: rgb(249, 249, 249); color: #21242c; line-height: 22.5pt; vertical-align: baseline;">
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; line-height: 22.5pt; margin: 0cm 0cm 0.0001pt; vertical-align: baseline;">
<b><span style="font-family: Georgia, serif; font-size: 11pt;">Exemplo I</span></b><span style="font-family: Georgia, serif; font-size: 11pt;"><o:p></o:p></span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; line-height: 22.5pt; margin: 0cm 0cm 0.0001pt; vertical-align: baseline;">
<span style="font-family: Georgia, serif; font-size: 11pt;">Um banco usa números positivos para representar depósitos e
números negativos para representar levantamentos. <b><span style="border: none windowtext 1.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;">Como irá um banco representar um levantamento de 19,43 euros?</span></b><o:p></o:p></span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; line-height: 14.7pt; margin: 0cm 0cm 0.0001pt 18pt; text-indent: -18pt; vertical-align: baseline;">
<span style="border: 1pt none windowtext; font-family: Georgia, serif; font-size: 11pt; padding: 0cm;"> <input name="perseus_radio_16" type="radio" />19,43
euros</span><span style="font-family: Georgia, serif; font-size: 11pt;"><o:p></o:p></span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; line-height: 14.7pt; margin: 0cm 0cm 0.0001pt; vertical-align: baseline;">
<span style="font-family: Georgia, serif; font-size: 11pt;"> </span><span style="border: none windowtext 1.0pt; color: #c00000; font-family: "Georgia",serif; font-size: 11.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;"><input checked="" name="perseus_radio_16" type="radio" /><b style="text-indent: -18pt;"><i style="mso-bidi-font-style: normal;">-19,43 euros</i></b></span><span style="font-family: Georgia, serif; font-size: 11pt;"><o:p></o:p></span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; line-height: 14.7pt; margin: 0cm 0cm 0.0001pt; text-indent: -18pt; vertical-align: baseline;">
<br /></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; line-height: 14.7pt; margin: 0cm 0cm 0.0001pt; text-indent: -18pt; vertical-align: baseline;">
<b><i style="color: #c00000; font-weight: bold;"><span style="color: #c00000; font-family: "Georgia",serif; font-size: 11.0pt;">
</span></i></b><b><span style="color: black; font-family: "Georgia",serif; font-size: 11.0pt;">Exemplo II</span></b><span style="color: black; font-family: "Georgia",serif; font-size: 11.0pt;"><o:p></o:p></span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; line-height: 14.7pt; margin: 0cm 0cm 0.0001pt; text-indent: -18pt; vertical-align: baseline;">
<br /></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; line-height: 150%; margin: 0cm 0cm 0.0001pt; text-indent: -18pt; vertical-align: baseline;">
<span style="font-family: Georgia, serif; font-size: 11pt; line-height: 150%;">
No mês passado, o extrato da conta bancária da Luzia dizia que ela
tinha dinheiro na sua conta. O seu balanço bancário era de <span style="border: none windowtext 1.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;">109,32 </span>euros. <b><span style="border: none windowtext 1.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;">Este mês, o balanço bancário da
Luzia é de -87,12 euros. O que é que isto significa?</span></b><o:p></o:p></span></div>
<div style="background: white; line-height: 13.8pt; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: 0cm; margin-top: 0cm; text-indent: -18.0pt; vertical-align: baseline;">
<b><span style="border: none windowtext 1.0pt; color: #c00000; font-family: "Georgia",serif; font-size: 11.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;"> <input checked="" name="perseus_radio_28" type="radio" />A Luzia ultrapassou o crédito da sua conta em 87,12 euros.</span></b><span style="font-family: Georgia, serif; font-size: 11pt;"><o:p></o:p></span></div>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p>
<o:p></o:p><br />
<div style="background: white; line-height: 13.8pt; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 18.0pt; margin-right: 0cm; margin-top: 0cm; text-indent: -18.0pt; vertical-align: baseline;">
<span style="border: none windowtext 1.0pt; color: #444444; font-family: "Georgia",serif; font-size: 11.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;"> <input name="perseus_radio_28" type="radio" /></span><span style="border: none windowtext 1.0pt; color: #21242c; font-family: "Georgia",serif; font-size: 11.0pt; mso-border-alt: none windowtext 0cm; padding: 0cm;">A Luzia tem 87,12 euros
na sua conta.</span><span style="color: #21242c; font-family: "Georgia",serif; font-size: 11.0pt;"><o:p></o:p></span></div>
</div>
<div class="MsoNormal" style="background: rgb(249, 249, 249); line-height: 14.7pt; margin: 0cm; text-indent: -18pt; vertical-align: baseline;">
<div style="color: #21242c;">
<b style="text-indent: -18pt;"><i style="mso-bidi-font-style: normal;"><span style="border: none 1.0pt; color: #c00000; font-family: "georgia" , serif; font-size: 12.0pt; padding: 0cm;"><br /></span></i></b></div>
</div>
<div style="color: #21242c;">
<span style="font-family: "georgia" , "times new roman" , serif; font-size: small;"></span></div>
</div>
</div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-47578608681413223532019-04-05T10:11:00.005-07:002019-04-05T10:11:51.703-07:00Para explorar: Adição de números racionais<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.geogebra.org/m/S7AnHNSc"><img border="0" data-original-height="170" data-original-width="704" height="96" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFb6Xo_ljhYioI2GiHncYWzbFBnPE2YzxkL1mxKENBH1DE6J5A25_ghxCA4701HM2GA6ubc-uFMkYG602tuGf4I3RY2VP0c0fngFEQDdn1QgcsIdOmHvmKekMaWksd2x7rnGtMNg7MgnAt/s400/geogebra.jpg" width="400" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<span style="color: #660000; font-family: Georgia, Times New Roman, serif;"><b>(clica na imagem)</b></span></div>
<br /></div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-5823358568969966262019-04-05T09:50:00.000-07:002019-04-05T09:53:20.407-07:00Para explorar: Encontra as simetrias<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.geogebra.org/m/XPgX24ZA"><img border="0" data-original-height="170" data-original-width="704" height="96" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFb6Xo_ljhYioI2GiHncYWzbFBnPE2YzxkL1mxKENBH1DE6J5A25_ghxCA4701HM2GA6ubc-uFMkYG602tuGf4I3RY2VP0c0fngFEQDdn1QgcsIdOmHvmKekMaWksd2x7rnGtMNg7MgnAt/s400/geogebra.jpg" width="400" /></a></div>
<div style="text-align: center;">
<b><span style="color: #990000; font-family: Georgia, Times New Roman, serif;">(Clica na imagem)</span></b></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-62223035055006459822019-04-05T09:26:00.004-07:002019-04-05T09:26:49.640-07:00Para explorar: Simetria de reflexão e de rotação<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.geogebra.org/m/hZNcDFAv"><img border="0" data-original-height="170" data-original-width="704" height="96" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFb6Xo_ljhYioI2GiHncYWzbFBnPE2YzxkL1mxKENBH1DE6J5A25_ghxCA4701HM2GA6ubc-uFMkYG602tuGf4I3RY2VP0c0fngFEQDdn1QgcsIdOmHvmKekMaWksd2x7rnGtMNg7MgnAt/s400/geogebra.jpg" width="400" /></a></div>
<div style="text-align: center;">
<span style="color: blue; font-family: Georgia, Times New Roman, serif;">(Clica na imagem)</span></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-4640729291742826152019-04-05T09:18:00.001-07:002019-04-05T09:18:20.456-07:00Para explorar - Simetria de rotação<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.geogebra.org/m/z8mS2Xpb"><img border="0" data-original-height="170" data-original-width="704" height="96" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFb6Xo_ljhYioI2GiHncYWzbFBnPE2YzxkL1mxKENBH1DE6J5A25_ghxCA4701HM2GA6ubc-uFMkYG602tuGf4I3RY2VP0c0fngFEQDdn1QgcsIdOmHvmKekMaWksd2x7rnGtMNg7MgnAt/s400/geogebra.jpg" width="400" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<b><span style="color: #990000; font-family: Georgia, Times New Roman, serif;">(Clica na imagem)</span></b></div>
<br /></div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-1953032844730443512019-04-05T09:15:00.001-07:002019-04-05T09:15:09.662-07:00Para explorar - Simetria de rotação<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://www.geogebra.org/m/hNZUHHyN"><img alt=" Clica na imagem" border="0" data-original-height="170" data-original-width="704" height="96" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLP42u22nmMOE94QmaeHNUHkwT0s-pwptBj4cmw3CqdFJoDhElt2Hj-YQamqc735Xuh40L21fBkzuqDJcgg7BnW_3BozP2wbzoDZbtMP1s-jNw3N2F0ij9edFGVfmp-aa9wMNBHhskWt3J/s400/geogebra.jpg" width="400" /></a></div>
<div style="text-align: center;">
<span style="color: #990000; font-family: Georgia, Times New Roman, serif;"><b>( Clica na imagem)</b></span></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-70279018352040959252019-04-05T07:54:00.001-07:002019-04-05T08:06:20.827-07:00Simetrias de reflexão e rotacional<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="text-align: justify;">
<span style="color: #990000; font-family: "georgia" , "times new roman" , serif;"><b>Simetria de reflexão</b></span></div>
<div style="text-align: justify;">
<span style="font-family: "georgia" , "times new roman" , serif;">Uma figura tem simetria de reflexão quando existe uma reflexão tal que
as imagens dos pontos da figura por essa reflexão formam a mesma figura, isto é, quando a
figura tem um eixo de simetria.</span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6zPF1pzFT5XLo73JEIvQ49kTZgdpHQbPLSqydzy_xtEaeX48XKTlaCiLy3ZoqkCs2cnMUMpN4aUKYBcuUNzSDiLC9Un4mF8XSEGv2YDAIqmEHhQoI28fAzgOsJ3yl0kxaLJttSxyNZDQz/s1600/2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="161" data-original-width="435" height="147" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6zPF1pzFT5XLo73JEIvQ49kTZgdpHQbPLSqydzy_xtEaeX48XKTlaCiLy3ZoqkCs2cnMUMpN4aUKYBcuUNzSDiLC9Un4mF8XSEGv2YDAIqmEHhQoI28fAzgOsJ3yl0kxaLJttSxyNZDQz/s400/2.jpg" width="400" /></a></div>
<div class="separator" style="clear: both; text-align: justify;">
<br /></div>
<div style="text-align: justify;">
<span style="color: #990000; font-family: "georgia" , "times new roman" , serif;"><b>Simetria de rotação</b></span></div>
<div style="text-align: justify;">
<span style="font-family: "georgia" , "times new roman" , serif;">Uma figura tem simetria de rotação quando existe uma rotação de
ângulo não nulo e não giro tal que as imagens dos pontos da figura por essa rotação formam a
mesma figura. </span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiT5V3ZNNYW4-BZZYHcnFWt8doqES-SdO1btXWkNnUGSut71wTeozxeucNjD1twS-QElmIok3jjJByecMgfTqI1vAJmq9kydyI7Jou8VKLP7iEVrfn7HTKG8j7ap5sv_raDlNpsysgmNLo7/s1600/3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="233" data-original-width="586" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiT5V3ZNNYW4-BZZYHcnFWt8doqES-SdO1btXWkNnUGSut71wTeozxeucNjD1twS-QElmIok3jjJByecMgfTqI1vAJmq9kydyI7Jou8VKLP7iEVrfn7HTKG8j7ap5sv_raDlNpsysgmNLo7/s1600/3.jpg" /></a></div>
<div style="text-align: justify;">
<span style="color: #990000; font-family: Georgia, Times New Roman, serif;"><b>EXEMPLO</b></span><br />
<span style="font-family: Georgia, Times New Roman, serif;"><b>Observa a figura</b></span><br />
<span style="font-family: Georgia, Times New Roman, serif;"><b>Esta figura tem simetrias de rotação (60º e 180º) e simetrias de reflexão </b><span style="color: #444444; font-size: 16px; text-align: start;"><b>(em seis retas diferentes)</b></span></span><br />
<span style="font-family: "georgia" , "times new roman" , serif;"><br /></span>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHJUCBk4azilXVrqJaUAQ3zKPU4drDmzMQjDcOUO8seSDEdX-uBl02E6MZCbFirwKoTsEdFjak85ynNFQ8iBjQ0UOvzn9QA45lIbVlBFZDklr9Vmi7B4rvtemuQbA_BjsM0nuuLkT9IdkE/s1600/4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="580" data-original-width="621" height="372" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHJUCBk4azilXVrqJaUAQ3zKPU4drDmzMQjDcOUO8seSDEdX-uBl02E6MZCbFirwKoTsEdFjak85ynNFQ8iBjQ0UOvzn9QA45lIbVlBFZDklr9Vmi7B4rvtemuQbA_BjsM0nuuLkT9IdkE/s400/4.jpg" width="400" /></a></div>
<span style="font-family: "georgia" , "times new roman" , serif;"><br /></span>
<span style="font-family: "georgia" , "times new roman" , serif;"><br /></span></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-21014562033336473982019-04-04T04:22:00.003-07:002019-04-04T04:23:18.276-07:00Interpretar valor absoluto<iframe width="560" height="315" src="https://www.youtube.com/embed/arWEKDx2lqY" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-3050209111625651552019-04-04T04:14:00.001-07:002019-04-04T04:14:24.747-07:00Valor absoluto de um número racional<iframe width="560" height="315" src="https://www.youtube.com/embed/psQ5SEi7FaM" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-3908604241493390672019-04-04T04:07:00.001-07:002019-04-04T04:07:50.493-07:00Simétrico de um número<iframe width="560" height="315" src="https://www.youtube.com/embed/tXVI7f-A2Q8" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-78364109171440466242019-04-03T03:31:00.003-07:002019-04-05T09:12:26.810-07:00Para explorar - Rotação <div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://ggbm.at/bQmmKXyx"><img alt=" (Clica na imagem)" border="0" data-original-height="359" data-original-width="638" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-pojdv5joS13ZSU3ao22HvPfA3s3EzHlvo2T8rT98zqLsV_yeldY4Nhrq3_SmlYbh2NumHngxCpW6XzYYABHtPYRl4trxADiAg72B3_QUaeRhD5U7DMrg7aPom2Jl24cLsrNZ9BCsx4ug/s320/geogebra-1-638.jpg" width="320" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<span style="color: blue; font-size: large;"><b>(clica na imagem)</b></span></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-17559500064595539422019-03-31T13:04:00.000-07:002019-03-31T13:04:00.833-07:00SIMETRIA DE REFLEXÃO E DE ROTAÇÃO<iframe width="560" height="315" src="https://www.youtube.com/embed/PImodg99TlY?controls=0" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-88561161325523113442019-03-31T12:54:00.001-07:002019-03-31T12:54:26.195-07:00EIXOS DE SIMETRIA EM FIGURAS PLANAS. SIMETRIA DE REFLEXÃO<iframe class="scribd_iframe_embed" title="EIXOS DE SIMETRIA EM FIGURAS PLANAS. SIMETRIA DE REFLEXÃO" src="https://www.scribd.com/embeds/403849972/content?start_page=1&view_mode=scroll&show_recommendations=false&access_key=key-OAXwqgysIpR03WDHvOc7" data-auto-height="true" data-aspect-ratio="null" scrolling="no" width="100%" height="600" frameborder="0"></iframe>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-11412049180363140272019-03-31T12:48:00.000-07:002019-03-31T12:48:22.791-07:00SIMETRIA ROTACIONAL II<iframe width="560" height="315" src="https://www.youtube.com/embed/QxcLfYGFZYc?controls=0" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-55039672445882826642019-03-31T12:46:00.001-07:002019-03-31T12:46:56.743-07:00SIMETRIA DE ROTAÇÃO I<iframe width="560" height="315" src="https://www.youtube.com/embed/WtlmVIBneus?controls=0" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-720150125842734892019-03-31T12:40:00.000-07:002019-03-31T12:40:13.290-07:00ROTAÇÃO III<iframe width="560" height="315" src="https://www.youtube.com/embed/VLD5vONPtcI" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-43761564784229789242019-03-31T12:38:00.000-07:002019-03-31T12:38:30.313-07:00ROTAÇÃO II<iframe width="560" height="315" src="https://www.youtube.com/embed/qIUlttmzeRI" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5040499820396663870.post-31364122177475066562019-03-31T12:36:00.003-07:002019-03-31T12:36:45.198-07:00ROTAÇÃO I<iframe width="560" height="315" src="https://www.youtube.com/embed/qIUlttmzeRI" frameborder="0" allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen></iframe>
Unknownnoreply@blogger.com0