Igualdades notables con baldosas "Algebra-Tiles"

Ejercicios
[list][*]Cada respuesta correcta vale 1,67 puntos (con los 6 ejercicios se tienen 10 puntos).[br]Las incorrectas [b]no[/b] penalizan.[/*][*]Puedes intentar tantas fichas como quieras. Se conservará la puntuación más alta.[/*][*]También se anotará el número de ejercicios correctos e intentados.[br][/*][/list]
¿Hacemos la representación a mano?
Podemos utilizar cartulina o goma-eva para crear estas baldosas (tiles) y representar algunos productos.
Más información
En esta [url=https://www.youtube.com/playlist?list=PLaJQoq9vldoUpjHFROKZ_Ybf7ddmYYTK2]lista de reproducción (hacer click)[/url] de [url=https://twitter.com/palindromiano]Manuel Domínguez[/url] tenemos más información sobre cómo crear esta visualización. [url=https://mediateca.educa.madrid.org/video/9llnmtmi6xdlc2z7]Clic aquí[/url] para ir al vídeo correspondiente.

Sistemas de Ecuaciones Lineales

SIstemas de Ecuaciones Lineales
Un sistema de dos ecuaciones lineales con dos incógnitas tiene la expresión:[br]ax+by=c[br]a′x+b′y=c′[br][br][br]Donde [i]x[/i] e [i]y[/i] son las incógnitas, [i]a[/i], [i]b[/i], [i]a[/i][i]'[/i] y [i]b[/i][i]'[/i] son los coeficientes de las incógnitas y [i]c[/i] y [i]c[/i][i]'[/i] son los términos independientes.[br][br]En estos sistemas, cada solución está formada por un par de valores, correspondientes a las dos incógnitas. Según el número de soluciones, un sistema de ecuaciones puede ser:[br][list][*][b][color=#ff0000]Compatible determinado: el sistema tiene una única solución.[/color][/b][/*][*][b][color=#ff0000]Compatible indeterminado: el sistema tiene infinitas soluciones.[/color][/b][/*][*][b][color=#ff0000]Incompatible: el sistema no tiene solución.[/color][/b][/*][/list]
Sistemas de Ecuaciones de 2x2 Visión Fila
[size=150]Métodos de resolución de sistemas de ecuaciones lineales[br][br][/size][b][u]Método de reducción[/u][/b]. Consiste en multiplicar las ecuaciones por números adecuados para que al sumarlas se elimine una incógnita.[br][br][img]data:image/png;base64,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[/img][br][br][b][u]Método de sustitución[/u][/b]. Consiste en despejar una de las incógnitas de una de las ecuaciones y sustituir la expresión obtenida en la otra ecuación.[br][br][img]data:image/png;base64,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[/img][br][br][b][u]Método de igualación[/u][/b]. Se despeja la misma incógnita en ambas ecuaciones y se igualan las expresiones obtenidas.[br][br][img]data:image/png;base64,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[/img]
[size=200]Resolver los ejercicios.[/size][br]Para resolver cada ejercicio se debe colocar ambas rectas en su posición correcta en la gráfica. Para ello debemos resolver dos cosas.[br][list][*]Debemos resolver el sistema para ver donde está la solución del sistema (el punto de corte, si lo hay)[/*][*]También debemos conocer otro punto de la recta (Sustituyendo x e y se debe cumplir la ecuación de la recta)[/*][/list][br]Los sistemas lineales podemos resolverlos de cualquiera de las 3 formas conocidas y [b]una vez resuelto colocar los puntos en los cuadros de X e Y[/b]
Ejercicio Gráfico de ecuaciones lineales

Razón y Proporción

Concepto de razón y proporción
Observa detalladamente el siguiente vídeo de proporción
Amplia tus conocimientos con juegos y ejemplos de razón y proporción
Preparados para las realizar las actividades
Identifica los términos de la razón y proporción
Analiza a través de juegos y ejemplos el teorema fundamental de proporcionalidad
TE RETO a poner a prueba tus conocimientos y tu agilidad mental seleccionando una palabra que remplace tu Sí o No
Toda razón es una igualdad
Los medios en una proporción se ubican en el centro de la igualdad
La razón indica cuanto varia una cantidad o magnitud con relación a otra
El teorema de proporcionalidad nos dice que el producto de un extremo con un medio es igual al producto del otro extremo con el medio.
Es [math]\frac{3}{4}[/math] una razón[br]

Coordenadas cartesianas

Instrucciones
[list][*]Durante el juego, tendremos que colocar un punto en las coordenadas indicadas, o bien averiguar las coordenadas del punto que nos muestren.[br][/*][*]Cada ficha correcta vale 1 punto, pero cada fallo también se penaliza con 1 punto.[/*][*]¿Conseguiremos llegar al [b]máximo de 10 puntos[/b] de esta actividad?[/*][*]Podemos hacer tantas fichas como queramos, se conservará la mayor puntuación alcanzada.[br]Tenemos un contador de cuántas fichas hemos acertado, y cuántas hemos intentado.[br][/*][/list]

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