2. Entrenando

Glosario

Crossfit

Definición:: Es una técnica de entrenamiento que conecta movimientos de diferentes disciplinas, tales como la halterofilia, el entrenamiento metabólico o el gimnástico.
Ejemplo:: Vamos a trabajar como si estuvieras haciendo crossfit.

Denominador

Definición:: Es el número inferior de una fracción e indica el número de partes en las que se divide una unidad.
Ejemplo:: En la fracción representada, 8 es el numerador y 2 el denominador.

Máximo común divisor

Definición:: El máximo común divisor de dos o más números es el mayor de sus divisores comunes.
Ejemplo:: El máximo común divisor de 72 y 50 es 2

Mínimo común múltiplo

Definición:: Menor múltiplo común de dos o más números.
Ejemplo:: El mínimo común múltiplo de 18 y 12 es 36.

Numerador

Definición:: Es el número superior de una fracción e indica el número de partes elegidas.
Ejemplo:: En la fracción representada, 8 es el numerador y 2 el denominador.

Nos preparamos...

Antes de ponernos a abrir la caja que la Inspectora Cruxeiras encontró en el cajón, vamos a recordar alguna herramienta que nos pueda ser útil y así poner en práctica nuestras habilidades.

Lectura facilitada

Antes de ponernos a abrir la caja

que la Inspectora Cruxeiras encontró en el cajón,

vamos a recordar alguna herramienta

que nos pueda ser útil y así poner en práctica nuestras habilidades.

1. Trabajando con el mcm y el mcd

Para calcular el mínimo común múltiplo (mcm) deberíamos ir calculando los múltiplos de cada número hasta llegar a uno que sea múltiplo de todos.
Para calcular el máximo común divisor (mcd) deberíamos calcular todos los divisores de cada número y quedarnos con el más grande que sea divisor de todos ellos.

Así es como se muestra en esta actividad si se desmarca la casilla Calcularlos descomponiendo.
Como podrás ver, para números grandes, esto puede ser una tarea muy tediosa. Por eso, normalmente hacemos primero la descomposición de cada número en producto de primos y aplicamos la regla:

El mcm es el producto de los factores comunes y no comunes, elevados a los mayores exponentes.
El mcd es el producto de los factores comunes, elevados a los menores exponentes.

Fíjate: aunque se llama "mínimo", sale un número grande, mientras que con el "máximo" sale un número pequeño. ¿Podrías explicar por qué?

Para comprobar si hemos aprendido a calcular el mcm y mcd, se incluye la posibilidad de resolver ejercicios. Pulsa sobre "Resolver Ejercicios"

Calcular correctamente el mcm vale 1 punto y cada mcd también. Podrás conseguir hasta un máximo de 5 por cada uno (total 10 puntos)
Cada respuesta incorrecta penaliza 1 punto. Si se deja en blanco, no penaliza.
Se conserva la puntuación más alta conseguida en cada parte
Pueden usarse potencias, mediante "^", y productos, con "*" o espacios.
Por ejemplo, es igual introducir 2^3*5, que 40

https://www.geogebra.org/m/t8wvuvzf (Ventana nueva)

Proxecto%20cREAgal,https%3A//www.geogebra.org/m/t8wvuvzf,MCM%20y%20MCD.%20Aprendemos%20a%20calcularlos,0,Autor%EDa

Actividad%20no%20completada,Actividad%20superada.%20Puntuaci%F3n%3A%20%25s,Actividad%20no%20superada.%20Puntuaci%F3n%3A%20%25s,Guardar%20la%20puntuaci%F3n

2. Ejercitando la divisibilidad

Selecciona las respuestas correctas y pulsa sobre el botón aceptar.

undefined

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3. Crossfit en la recta numérica: enteros

La siguiente actividad está pensada para reforzar los conceptos de número entero, comparación de enteros, valor absoluto y distancia entre dos enteros. Tienes a tu disposición dos pantallas diferentes: La Pantalla Explorar y la Pantalla Genérica.

Pantalla Explorar. Con tres contextos diferentes:

Altitud-nivel del mar (haciendo clic en el icono del pájaro)

Cuentas bancarias (haciendo clic en el icono de la hucha)

Temperaturas mundiales (haciendo clic en el icono del termómetro)

Pantalla Genérica. En la que verás la recta numérica horizontal o vertical según elijas. También puedes elegir entre tres tamaños según necesites:

De -10 a 10

De -30 a 30

De -100 a 100

Sugerencias de Uso:
Exploradlas libremente durante 5 minutos y después utilizadlas para hacer las actividades indicadas en el apartado siguiente

Actividades para hacer con la recta numérica anterior

1. PANTALLA EXPLORACIÓN. Botón Pájaro

Coloca al buceador a 5 metros por debajo del nivel del mar, al pez a 80 metros de profundidad y al pájaro volando a 50 metros sobre el nivel del mar. Después completa este texto:

La distancia que hay entre el pez y el pájaro es de Rellenar huecos (1):JXUwMDY5JXUwMDAyJXUwMDAz m.

La distancia que hay entre el pájaro y el buceador es de Rellenar huecos (2):JXUwMDZkJXUwMDAw m.

La distancia que hay entre el pez y el buceador es de Rellenar huecos (3):JXUwMDZmJXUwMDAy m.

2. PANTALLA EXPLORACIÓN. Hucha con 1 hucha Una hucha

Pon 5$ en una hucha, después quítale 7$ y completa: 5$ - 7$ = Rellenar huecos (4):JXUwMDc1JXUwMDFm $

Pon una deuda de 3$ en una hucha (números rojos), después quítale 2$ y completa: -3$ - 2$= Rellenar huecos (5):JXUwMDc1JXUwMDE4 $

De la misma forma:

20$ + 3$ = Rellenar huecos (6):JXUwMDZhJXUwMDAx $

-8$ + 6$ = Rellenar huecos (7):JXUwMDc1JXUwMDFm $

3. PANTALLA EXPLORACIÓN. Hucha con 2 huchas Dos Huchas

Selecciona una hucha con 30$ y otra con -40$ y completa: Rellenar huecos (8):JXUwMDc1JXUwMDE5JXUwMDA0 $ < Rellenar huecos (9):JXUwMDZiJXUwMDAz $

Selecciona una hucha con -10$ y otra con -20$ y completa: Rellenar huecos (10):JXUwMDc1JXUwMDFmJXUwMDAy $ < Rellenar huecos (11):JXUwMDc1JXUwMDFjJXUwMDAx $

4. PANTALLA EXPLORACIÓN. Termómetro .

Pon la temperatura en grados centígrados (por defecto está en grados Fahrenheit) y selecciona el mes de enero.

Localiza con el termómetro A un punto del planeta que esté a 7ºC bajo cero.

Localiza con el termómetro B un punto del planeta que tenga una temperatura dos grados superior a la del termómetro A.

Localiza con el termómetro C un punto del planeta que tenga una temperatura 10 grados inferior a la que marque el termómetro A.

Ahora completa el texto:

Temperatura termómetro A= Rellenar huecos (12):JXUwMDc1JXUwMDFh ºC

Temperatura termómetro B= Rellenar huecos (13):JXUwMDc1JXUwMDE4 ºC

Temperatura termómetro C= Rellenar huecos (14):JXUwMDc1JXUwMDFjJXUwMDA2 ºC

Observamos que Rellenar huecos (15):JXUwMDc1JXUwMDFjJXUwMDA2 ºC < Rellenar huecos (16):JXUwMDc1JXUwMDFh ºC < Rellenar huecos (17):JXUwMDc1JXUwMDE4 ºC

5. PANTALLA GENÉRICA. Utiliza esta simulación para hacer los siguientes cálculos:

|-3| = Rellenar huecos (18):JXUwMDZi |-5| = Rellenar huecos (19):JXUwMDZk |2| = Rellenar huecos (20):JXUwMDZh |-46| = Rellenar huecos (21):JXUwMDZjJXUwMDAy |10| = Rellenar huecos (22):JXUwMDY5JXUwMDAx

Ordena los números -3, 5, -8: Rellenar huecos (23):JXUwMDc1JXUwMDE1 < Rellenar huecos (24):JXUwMDc1JXUwMDFl < Rellenar huecos (25):JXUwMDZk

Ordena los números 10, 7, -9: Rellenar huecos (26):JXUwMDc1JXUwMDE0 < Rellenar huecos (27):JXUwMDZm < Rellenar huecos (28):JXUwMDY5JXUwMDAx

Ordena los números -30, -15, -20: Rellenar huecos (29):JXUwMDc1JXUwMDFlJXUwMDAz < Rellenar huecos (30):JXUwMDc1JXUwMDFmJXUwMDAy < Rellenar huecos (31):JXUwMDc1JXUwMDFjJXUwMDA0

Ordena los números -50, 30, -80: Rellenar huecos (32):JXUwMDc1JXUwMDE1JXUwMDA4 < Rellenar huecos (33):JXUwMDc1JXUwMDE4JXUwMDA1 < Rellenar huecos (34):JXUwMDZiJXUwMDAz

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4. Pesas con divisibilidad y fracciones

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