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The purpose of this Warm-up is to elicit ideas about floor plans and the mathematics that might be involved. This will be useful when students design a layout for a bedroom in a later activity. While students may notice and wonder many things about this image, such as the familiar shape of the diagram that can be broken up into rectangles, the features that make this a floor plan, such as the windows and the door, are the important discussion points.
¿Qué observas? ¿Qué te preguntas?
The purpose of this activity is for students to make sense of floor plans. In the Launch, students make sense of how different features of the floor plan, such as windows, doors, and furniture, are visually represented. Students analyze the plan and consider what is usable floor space and where it makes sense to put the furniture. Students may give both aesthetic and practical reasons for furniture placement. This short activity prepares students to make similar considerations in the next activity.
MLR5 Co-Craft Questions. Display the image of the floor plan, and invite students to write a list of possible mathematical questions they could ask about the situation. Invite students to compare their questions, “¿Qué tienen en común estas preguntas? ¿En qué son diferentes?” // “What do these questions have in common? How are they different?” Amplify questions related to comparison and areas of rectangles.
Advances: Reading, Writing
La imagen muestra el diseño de un plano de una habitación. Discute con tu compañero:
New Bed and Desk Handout, Spanish
The purpose of this activity is for students to apply their understanding of the area of a rectangle to design a floor plan for a room. Students use their experience from the previous activity and consider what space is usable as they arrange the furniture. When students consider assumptions about information not given in a situation and report on their conclusions and reasoning, they model with mathematics (MP4).
Este es un diagrama de una habitación, un escritorio y una cama.
Hagan un póster para mostrar cómo pensaron. Organícenlo para que los demás puedan entenderlo.
“Hoy resolvimos un problema que tenía muchas respuestas posibles. ¿Qué decisiones tuvieron que tomar al resolver el problema sobre cómo Tyler debía organizar su cama y su escritorio?” // “Today we solved a problem that had many possible answers. What decisions did you have to make as you solved the problem about how Tyler should arrange his bed and desk?” (I had to decide if the bed should be up against the wall or to leave a space between the bed and the wall. I decided to leave some space for Tyler's chair by the desk.)