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Propósito
<p>Comprender el uso de los números racionales, ubicación en la recta numérica, fracciones equivalentes y como aplicarlo a su contexto diario.</p>
Motivación
<p><iframe src="//www.youtube.com/embed/TvLbbFKIfEw" allowfullscreen="" width="500" height="281" frameborder="0"></iframe><br></p><p><iframe src="//www.youtube.com/embed/osePKL39EBo" allowfullscreen="" width="500" height="281" frameborder="0"></iframe><br></p><p>El siguiente video te pemritira tener una mejor nocio a cerca de la ubicacion en la recta numerica de los numeros racionales y como hallar fracciones equivalentes.<br></p><p> <b><i>EXPLORACIÓN: ¿Qué sé?</i></b></p><p>¿De que maneras las fracciones y su uso hacen parte de nuestro desarrollo en la cotidianidad? <br></p>
Explicación
<p><img src="data:image/png;base64,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" alt=""></p><p style="text-align: center;"><span class="markedContent"></span><br><span style="font-size: 12px;"><strong>REPRESENTACION DE LOS NUMEROS RACIONALES</strong><strong><span class="markedContent"><br>EN LA RECTA NUMERICA</span></strong></span><span class="markedContent"></span></p><p><span class="markedContent">Para representar un número racional en la recta numérica, se debe tener en cuenta que:</span><span class="markedContent"><br>1. Los positivos se representan a la derecha y los negativos a la izquierda.</span><span class="markedContent"><br>2. Se divide la unidad en las partes que indique el denominador y se toman las partes que<br>halla en el numerador, partiendo siempre de cero.</span><span class="markedContent"><br>3. Los fraccionarios PROPIOS se buscan entre cero y la unidad y tienen el numerador menor<br>que el denominador.</span><span class="markedContent"><br>4. Los fraccionarios IMPROPIOS son mayores que la unidad y tienen el numerador mayor<br>que el denominador.</span><br></p><p style="text-align: center;"><img 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
Ejercicios
<p><a href="http://sinapsis.club/web/uploads/14032022/9129/13afa42523-guia-1-potenciacion-y-radicacion-potencia-ejercicios.pdf">El sigueinte documento contiene ejercicios para la aplicacion de lo mostrado anteriormente</a><br></p><p><a href="/web/uploads/14032022/9129/ddbddd6b9c-guia-de-trabajo-numeros-racionales-ubicacion-ela-recta-numerica-equivalentes.pdf">ddbddd6b9c-guia-de-trabajo-numeros-racionales-ubicacion-ela-recta-numerica-equivalentes.pdf</a><br></p><p><br></p>
Evidencia
Evaluación
<p>-Representa las fracciones en la recta numerica de manera correcta.</p><p>-Realiza de forma correcta cada uno de los ejercicios propuestos utilizando la informacion dada.<br></p><p>-Comprende las familias de fracciones por medio de las fracciones equivalentes.</p>
Bibliografía
<p>Libro: Vamos a aprender matematicas 7°,ministerio de educacion</p><p>Libro:Los caminos del saber, matematicas .</p>
Foro
calificable?
Activo
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