# Lesson 4

Figuras sólidas

## Warm-up: Observa y pregúntate: ¿Qué figura es esa? (10 minutes)

### Narrative

The purpose of this warm-up is to elicit the language students use to describe and identify shapes, which will be useful when students describe shapes and find shapes with given attributes in the lesson activities. While students may notice and wonder many things about these images, formal and informal descriptions of squares and cubes are the important discussion points.

### Launch

• Groups of 2
• Display the image.
• “¿Qué observan? ¿Qué se preguntan?” // “What do you notice? What do you wonder?”
• 1 minute: quiet think time

### Activity

• “Discutan con su compañero lo que pensaron” // “Discuss your thinking with your partner.”
• 1 minute: partner discussion
• Share and record responses.

### Student Facing

¿Qué observas? ¿Qué te preguntas?

### Activity Synthesis

• “¿En qué se parecen estas imágenes? ¿En qué son diferentes?” // “How are these images alike? How are they different?” (All show squares in some way. They are different because they show different numbers of squares. Some are cubes and real cubes are solid.)
• If it does not come up, ask, “¿Cuáles imágenes muestran un cubo? Expliquen” // “Which images show a cube? Explain.” (B because it looks like a box. The big cube has little cubes and it is made of all squares. D is like a drawing of a cube.)

## Activity 1: ¿Cuál es la figura perdida? (15 minutes)

### Narrative

The purpose of this activity is for students to describe the attributes of three-dimensional shapes and identify these shapes based on their attributes. The activity encourages students to build on their understanding of two-dimensional shapes to describe three-dimensional shapes. When students describe the attributes of solid shapes clearly to others, they use language precisely including making connections to the attributes of two-dimensional shapes (MP6).

In previous grades, students identified and named spheres, cylinders, cones, and cubes. Students may be able to recognize rectangular prisms and pyramids as solid shapes, but students are not expected to use these terms.

This activity uses MLR7 Compare and Connect. Advances: representing, conversing

### Required Materials

Materials to Gather

### Required Preparation

• Each group of 4 needs a collection of solid shapes (sphere, cone, cylinder, cube, rectangular prism, square pyramid).
• Create two sample posters to display in the launch. One poster with a drawing of a triangle that can be used as a less precise example for student work during the activity. The second poster should include details that identify the number and shape of the solid shape’s faces.

### Launch

• Groups of 4
• Give each group a collection of solid shapes (sphere, cone, cylinder, cube, rectangular prism, square pyramid) and a piece of chart paper and markers.
• “A Kiran se le perdió una de las figuras sólidas de su colección. Él dibujó dos pósteres para que lo ayudaran a encontrar la figura” // “Kiran is missing one of the solid shapes from his collection. He drew two posters to help find the shape.”
• Display the previously prepared poster or image:

• “¿Qué figura sólida puede ser la figura de Kiran?” // “Which solid shape could be Kiran’s shape?” (It’s hard to tell. It could be a cone or pyramid.)
• Display the previously prepared example poster or image:

• “¿Qué figura sólida puede ser la figura de Kiran?” // “Which solid shape could be Kiran’s shape?” (Students hold up or name the pyramid.)
• As needed, ask, “¿Cómo describirían las caras de una figura sólida?” // “How would you describe the faces of a solid shape?” (It’s a flat part of the solid shape. It looks like a flat shape. The edges make up the sides of the shape.)
• “¿Cuál póster es más útil? Expliquen” // “Which poster is more helpful? Explain.” (The poster that describes all the faces. The other poster could be lots of solid shapes.)

### Activity

• “Voy a asignarle a cada grupo una figura sólida. Hagan un póster sobre su figura. Pueden usar palabras, números y dibujos. Otros grupos deben poder descubrir cuál es su figura al observar su póster” // “I’m going to assign each group a solid shape. Make a poster for your shape. You can use words, numbers, and pictures. Other groups should be able to figure out which shape you had by looking at your poster.”
• Assign each group either a cylinder, sphere, cone, or rectangular prism.
• 5 minutes: small-group work time
• “¿Cuáles son las características más importantes que hay que escribir?” // “What attributes will be most important to list?”
• “¿Qué podrían dibujar para describir su figura?” // “What could you draw to illustrate your shape?”
• “¿Cuál es el nombre de su figura sólida?” // “What is the name of your solid shape?”
• As groups finish, display the posters around the room.

### Student Facing

Hagan un póster que describa su figura sólida. Usen palabras, números y dibujos para ayudarle a los otros grupos a nombrar su figura.

### Student Response

If students use language that could be more mathematically precise, consider asking:

• “¿Qué figuras planas podrías usar para describirle esta figura a alguien?” // “What flat shapes could you use to describe this shape to someone?”
• “¿Qué objetos de la escuela o de la casa tienen esta forma?” // “What are some objects at school or at home that are this shape?”

### Activity Synthesis

MLR7 Compare and Connect

• “Mientras observan los pósteres de otros grupos, piensen en los detalles que les ayudan a imaginar o a nombrar la figura” // “As you look at other groups’ posters, think about the details that help you imagine or name the shape.”
• 5 minutes: gallery walk
• “¿En qué se parecen y en qué se diferencian las maneras en las que los grupos describieron su figura sólida?” // “What is the same and what is different about the ways groups described their solid shape?” (Many groups gave details about the faces of the shapes, and some groups described objects that look like their shape.)

## Activity 2: Clasifiquemos y construyamos figuras sólidas (20 minutes)

### Narrative

The purpose of this activity is for students to recognize and describe the attributes of two-dimensional and three-dimensional shapes. Students are given cards containing figures composed of two-dimensional shapes. They sort these shape designs in the way that makes sense to them, which may include reasoning about how the shape designs relate to three-dimensional shapes.

After sorting, students come together to discuss how they sorted their shape designs before they cut and fold two shape designs into cubes. Listen for the way students describe shape designs that are composed of equal-size shapes and solid shapes that have equal-size faces. They will continue to describe equal-size shapes in the next section.

Representation: Internalize Comprehension. Provide students with a sorting mat and one possible category to get started with. Allow students to create at least one other category.
Supports accessibility for: Organization

### Required Materials

Materials to Gather

Materials to Copy

• Cube Pattern, Spanish
• Shape Design Card Sort

### Required Preparation

• Create a set of cards from the blackline master for each group of 2.

### Launch

• Groups of 2
• Give each group of 2 students a set of shape design cards and access to solid shapes.
• “Vamos a describir y a clasificar tarjetas que muestran un diseño hecho de varias figuras” // “We are going to describe and sort cards that show a design made up of different shapes.”
• Display Card D:

• “¿Qué observan? ¿Qué se preguntan?” // “What do you notice? What do you wonder?” (I see 4 triangles. 3 triangles are the same. 1 triangle has shorter sides. What is the name of this shape? Would this shape make a solid shape?)
• 30 seconds: quiet think time
• 1 minute: partner discussion
• Share responses.

### Activity

• “Van a examinar más diseños de figuras y los van a clasificar de una manera que tenga sentido para ustedes” // “You are going to look at more shape designs and sort them in a way that makes sense to you.”
• 5 minutes: partner work time
• “¿Qué figuras hay en este diseño?” // “What shapes make up this design?”
• “¿Cuáles de las figuras sólidas tienen caras que coinciden con estas figuras planas?” // “Which of the solid shapes have faces that match these shapes?”
• “¿Por qué agruparon estos diseños de figuras juntos?” // “Why did you group these shape designs together?”
• “¿Qué tienen en común los diseños de figuras que hay en sus grupos?” // “What do the shape designs in your groups have in common?”
• Monitor for groups who sorted by:
• category (all triangles, all quadrilaterals)
• total number of shapes
• presence or absence of one shape (has squares vs. no squares)
• Invite 2–3 groups to share the way they sorted their shapes.
• “¿Cuáles diseños de figuras están hechos de figuras del mismo tamaño? Expliquen cómo lo saben” // “Which shapes are made up of equal-size shapes? Explain how you know.” (B, E, and H. All the squares are the same size in B and E. All the triangles are the same size in H.)
• “Respondan las preguntas con su compañero. Hagan una señal cuando hayan discutido todas las preguntas y estén listos para hacer un cubo” // “Work with your partner to answer the questions. Give me a signal when you have discussed each question and are ready to make a cube.”
• 10 minutes: partner work time
• When students are ready, give the cube pattern handout, scissors, and tape to each group of 2 students. Each student gets 1 page.

### Student Facing

1. Clasifica en grupos tus tarjetas de diseño de figuras. Prepárate para describir cómo clasificaste las figuras.
2. Empareja una de tus tarjetas con una figura sólida. Explica la correspondencia.
3. ¿Cuáles diseños de figuras se podrían doblar para hacer cubos? Explica.
4. Tu profesor te dará 2 diseños de figuras. Dobla los diseños de figuras para hacer cubos. Compara tu cubo con el de tu compañero.

### Activity Synthesis

• “Ustedes y su compañero empezaron con distintos diseños para doblar, pero ambos hicieron cubos” // “When you and your partner were folding, you started with different designs, but both made cubes.”
• Draw or display a design with different size squares, such as:
• “Algunos de ustedes observaron que un cubo tiene 6 caras cuadradas. ¿Se puede doblar esta figura para hacer un cubo?” // “Some of you noticed that a cube has 6 square faces. Would this shape fold to make a cube?” (No. It has 6 squares, but some aren’t the same size.)

## Lesson Synthesis

### Lesson Synthesis

“En lecciones anteriores, identificamos y dibujamos figuras según sus lados y esquinas. Hoy describimos figuras sólidas a partir de sus caras. También usamos las figuras que conocemos como ayuda para describir figuras sólidas” // “In earlier lessons, we identified and drew shapes based on their sides and corners. Today we described solid shapes based on their faces. We also used the shapes we know to help us describe solid shapes.”

“En la primera actividad, hicieron pósteres que les ayudaron a identificar figuras sólidas. ¿Qué pondrían en un póster para identificar un cubo? ¿Qué dibujarían? ¿Qué palabras usarían?” // “In the first activity, you made posters that helped identify solid shapes. What would you put on a poster to identify a cube? What would you draw? What words would you use?” (I would draw 6 squares like we cut out. I would say it has 6 square faces. The faces are all the same size. It looks like number cubes.)