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The purpose of this True or False? is to activate what students know about multiplying a fraction by a whole number (, in particular fractions with denominators 4, 8, and 12) and about fractions that are equivalent to whole numbers. The reasoning students do here will be helpful later when they solve problems involving fractional units of measurement in pounds, ounces, hours, and minutes.
The whole numbers and the denominators in the equations are multiples or factors of one another, so students have an opportunity to look for and make use of structure (MP7) to determine whether the equations are true.
Decide si cada afirmación es verdadera o falsa. Prepárate para explicar tu razonamiento.
The purpose of this activity is to introduce students to the structure of the MLR4 Information Gap routine. This routine facilitates meaningful interactions by positioning some students as holders of information that is needed by other students.
Tell students that first, a demonstration will be conducted, in which the whole class plays the role of the person with the problem card. Explain to students that it is the job of the person with the problem card (in this case, the whole class) to think about what information they need to answer the question.
For each question that is asked, students are expected to explain what they will do with the information, by responding to the question, “¿Por qué necesitas saber _____?” // “Why do you need to know _____ [that piece of information]?” If the problem card person asks for information that is not on the data card (including the answer), then the data card person must respond with, “No tengo esa información” // “I don’t have that information.”
Once students have enough information, they solve the problem independently.
The Info Gap routine requires students to make sense of problems by determining and then asking for the information needed to solve them. This may take several rounds of discussion if their first requests do not yield the information they need (MP1).
MLR4 Information Gap
Info Gap Noah's School Day Part 2 Cards, Spanish
The Info Gap routine in this activity, prompts students to compare lengths of time given in different units. To make comparisons, students need to convert one unit into another or otherwise reason about equivalent amounts. They also need to relate quantities in multiplicative terms—to think of a quantity as a certain number of times as much as another quantity.
The Info Gap structure requires students to make sense of problems by determining, and then asking for, the information necessary to solve them. This may take several rounds of discussion if their first requests do not yield the information they need (MP1). It also allows students to refine the language they use and to ask increasingly more precise questions until they get the information they need (MP6).
MLR4 Information Gap
Tu profesor te dará una tarjeta de problema o una tarjeta de datos. No se la muestres ni se la leas a tu compañero.
Haz una pausa aquí para que tu profesor pueda revisar tu trabajo.
Pídele al profesor un nuevo grupo de tarjetas. Intercambia roles con tu compañero y repite la actividad.
Optional
This optional activity invites students to apply their knowledge of pounds and ounces and multiplicative reasoning to solve a puzzle about the quantities of ingredients on a shopping list. To solve the puzzle, students need to express pounds as ounces and reason deductively.
As they work to eliminate possibilities, draw conclusions, and explain their thinking to others, students practice constructing logical arguments (MP3).
Estos son 6 ingredientes que un cliente compró y algunas pistas sobre cada cantidad.
Esta es una lista de los artículos ordenados según su peso, de menor a mayor.
| ingrediente | libras | onzas |
|---|---|---|
| fideos de arroz | ||
| camarones | ||
| harina de tapioca | ||
| tofu | ||
| zanahorias | ||
| arroz integral |
Usa las pistas para averiguar el peso de cada ingrediente, tanto en libras como en onzas.
“Hoy resolvimos problemas con medidas en los que no nos daban toda la información necesaria” // “Today we solved measurement problems in which not all of the necessary information was provided.”
“¿En qué fue diferente esta experiencia de otras experiencias en las que han tenido que resolver problemas?” // “How was that experience different from other problem-solving experiences you had so far?” (We had to think about what information was needed, and also about how to ask questions that would give what we needed.)
“¿Qué les pareció interesante? ¿Qué les pareció retador?” // “What did you find interesting? What did you find challenging?” (We had to explain why we asked for certain pieces of information, which wasn’t always easy.)
Aprendimos sobre diferentes unidades para medir longitud, distancia, peso, capacidad y tiempo. Vimos cómo se relacionan las diferentes unidades que miden una misma propiedad.
Estas son las relaciones que vimos:
Cuando nos dan una medida en una unidad, podemos encontrar el valor en otra unidad razonando y escribiendo ecuaciones. Por ejemplo, para expresar 5 kilogramos en gramos, podemos escribir . Para expresar 4 libras en onzas, podemos escribir .
A lo largo de la sección, usamos estas relaciones para convertir medidas de una unidad a otra, para comparar y ordenar medidas, y para resolver problemas en diferentes situaciones.