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¿Qué observas? ¿Qué te preguntas?
The purpose of this activity is for students to consider how the size of an object impacts the unit we use to measure the volume of that object. Since this is students’ first experience with these cubic units of measure, it may be helpful for them to see the actual length of a centimeter, an inch and a foot. Have rulers or cubes available to provide extra support to visualize the size of the cubic units of measure. Because there are no mathematically correct or incorrect answers, this activity provides a rich opportunity for students to discuss and defend different points of view (MP3).
The Launch of the activity is an opportunity for students to share their experiences and ask questions about the objects to ensure each student has access to the context. If it is helpful, display images of the items for students to reference.
Para cada objeto, escoge la unidad cúbica que usarías para medir el volumen: centímetro cúbico, pulgada cúbica o pie cúbico.
| volumen de | unidad |
|---|---|
| un camión de mudanzas | |
| un congelador | |
| una caja de jugo | |
| un salón de clase | |
| un contenedor de basura | |
| una lonchera |
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, in which the whole 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, “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, “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 students have enough information, they solve the problem independently.
MLR4 Information Gap
Info Gap Sizing Up Cubic Units Cards, Spanish
The Info Gap routine in this activity gives students an opportunity to determine and request the information needed to measure the volume of a rectangular prism, using units of different sizes.
The Info Gap routine 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 to ask increasingly more precise questions until they get the needed information (MP6).
Representation: Access for Perception. Provide appropriate reading accommodations and supports to ensure students’ access to written directions, word problems, and other text-based content.
Supports accessibility for: Language, Conceptual Processing
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.
Display the image from the Warm-up:
Display the words “pulgadas cúbicas”, “pies cúbicos” y “yardas cúbicas” // “cubic inches,” “cubic feet,” and “cubic yards.”
“Hoy trabajamos con unidades cúbicas de distintos tamaños. Por turnos, hablen con su compañero. Para cada unidad de medida, piensen en un objeto que tenga un volumen que medirían con esa unidad” // “Today we worked with cubic units of different sizes. Turn and talk with your partner, and think of an object for which you would use each unit of measure when finding the volume.”
“Ahora escojan uno de los objetos que discutieron y explíquenle a su compañero cómo encontrarían el volumen de ese objeto” // “Now pick one of the objects you discussed, and explain to your partner how you would find the volume of that object.” (I would multiply the area of a base by the corresponding height, or I would multiply all 3 side lengths.)
Aprendimos a encontrar el volumen de un prisma rectangular recto. Para hacerlo, multiplicamos las longitudes de los lados o multiplicamos el área de la base por la altura.
Cada una de estas expresiones representa el volumen de este prisma. El volumen de este prisma rectangular es 60 unidades cúbicas.
Aprendimos a usar distintas unidades cúbicas para medir el volumen de objetos de distintos tamaños. Usamos pulgadas cúbicas, pies cúbicos, yardas cúbicas y centímetros cúbicos para medir el volumen.