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The purpose of this Number Talk is to elicit the strategies students have for multiplying single-digit factors and then adding two-digit numbers. The expressions involve two operations. They encourage students to look for and make use of structure as they use their understanding of equal-size groups and properties of operations to find products and sums (MP7). The reasoning here will be helpful later when students solve two-step word problems.
Encuentra mentalmente el valor de cada expresión.
The purpose of this activity is to introduce students to the structure of the MLR4 Information Gap routine (also Info 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 with the whole class, in which the class plays the role of the person holding the problem card. Explain to students that it is the job of the person holding 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 person holding the problem card asks for information that is not on the data card (including the answer!), then the person holding the data card must respond with, “No tengo esa información” // “I don’t have that information.” In explaining their answers, students need to be precise in their word choice and use of language (MP6).
Once the students have enough information to solve the problem, they solve the problem independently.
The Info Gap routine requires students to make sense of problems by determining what information is necessary and asking for the information they need 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: Bake Sale Cards, Spanish
This "Info Gap" activity gives students an opportunity to determine and request information needed to solve a two-step problem that involves multiplication.
The Info Gap structure requires students to make sense of problems by determining what information is necessary, and then to ask for the information they need 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 them to refine the language they use and ask increasingly more precise questions until they get the information they need (MP6).
Here is an image of the cards for reference:
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 par de tarjetas. Intercambia roles con tu compañero y repite la actividad.
“Hoy aprendimos la rutina ‘Falta de información’. ¿Cómo les ayudó esta rutina a darle sentido a los problemas que resolvieron?” // “Today we learned the Information Gap routine. How did this routine help you make sense of the problems you solved?” (The routine gave me a chance to focus on what was important in the problem. I had to think about what I needed to know to solve the problem. I had to think about why some information was needed to solve the problem. It helped me make sense of what was happening in the problem.)
En esta sección, redondeamos números para estimar las respuestas a los problemas. Esto nos ayudó a decidir si nuestras respuestas a los problemas tenían sentido basándonos en la situación y en los números de la situación.
También escribimos ecuaciones que tenían un número desconocido y usamos diagramas para hallar la respuesta exacta a los problemas.
Situación con un número desconocido:
Mai tenía 104 chaquiras. Ella compró 2 paquetes más de chaquiras. Cada paquete trae 10 chaquiras. ¿Cuántas chaquiras tiene ahora?
Diagrama con un número desconocido:
Ecuación con un número desconocido: