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¿A cuánto corresponde?
bloque-iiDesafío: 21Libro Desafíos Matemáticos Quinto grado Contestado
Ciclo Escolar 2014|2015|2016|2017
Instrucciones:
Objetivo de la lección:Que los alumnos interpreten la relación que hay entre una fracción y la unidad a la que se está haciendo referencia.
Conocimiento de diversas representaciones de un número fraccionario: con cifras, mediante la recta numérica, con superficies,
Tu profesor en esa ocasión evaluara tu habilidad para interpretar los problemas de acuerdo al objetivo de la lección.
Pues es muy común que cuando se habla de fracciones siempre se viene a la mente "partes de un entero", es difícil pensar que se puede tratar de partes de una fracción o partes de cantidades mayores a un entero.
Es por esto que se plantean situaciones en las que tendrán que pensar en fracciones de una fracción.
Por otra parte, es importante resaltar que no se trata de que estudien el algoritmo de la multiplicación de fracciones que está implícito en este tipo de problemas, sino de que entiendan cuál es la unidad a que se hace referencia.
Por ejemplo, para responder el primer problema es necesario calcular la mitad del queso que recibió Jorge: a él le tocó la tercera parte de todo el queso, entonces a su hermana le dio la mitad de la tercera parte, esto es 1/2 de 1/3, que equivale a 1/6 de todo el queso.
Observa la imagen:
Para resolver el segundo problema la forma gráfica es una herramienta muy común y resulta suficiente para estudiar lo que se propone aquí. Por ejemplo, este problema se puede representar de la siguiente forma.
El dueño se queda con 1/3 y 2/3 restantes se dividen en 4 instituciones. Por lo que a cada una le corresponde 1/6.
El tercer problema puede representarse gráficamente de la siguiente forma.
En el último problema, hay que considerar que la tercera parte del dinero para las celebraciones se dividirá en cuatro partes, y que será una de esas cuatro partes la que se usará para platos y vasos. De modo que se tomará 2/4 de 1/3 , es decir, la mitad de 1/3 , lo cual equivale a 1/6.
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