# Lesson 16

Interpretemos datos de medidas

## Warm-up: Conversación numérica: Suma hasta 50 (10 minutes)

### Narrative

The purpose of this Number Talk is to activate students’ previous experiences with addition methods involving composing a ten. In previous lessons, students used their knowledge of making a ten to find sums within 20 and used methods based on place value to compose a ten when adding within 100. This string is designed to encourage these methods.

### Launch

• Display one expression.
• “Hagan una señal cuando tengan una respuesta y puedan explicar cómo la obtuvieron” // “Give me a signal when you have an answer and can explain how you got it.”
• 1 minute: quiet think time

### Activity

• Keep expressions and work displayed.
• Repeat with each expression.

### Student Facing

Encuentra mentalmente el valor de cada expresión.

• $$15 + 5 + 1$$
• $$25 + 6$$
• $$16 + 7$$
• $$37 + 6$$

### Activity Synthesis

• “¿Cómo creen que la tercera expresión les ayudó a encontrar el valor de la cuarta?” // "How do you think the third expression could help with finding the value of the fourth one?" (In the ones place there was a 6 and 7, so I knew that $$6 + 4 = 10$$ and there were 3 left over. In the fourth expression the ones were switched, but it was still 10 with 3 left over.)

## Activity 1: El proyecto de las plantas (20 minutes)

### Narrative

The purpose of this activity is for students to create a line plot from data presented in a table. The table includes data with longer lengths and a greater difference between the shortest and longest lengths than the data used in previous lessons. Students make decisions about how to label the number line using what they have learned about the structure of line plots and how to represent and label measurement data. The synthesis discussion focuses on sharing and comparing the strategies students used to create their line plots, focusing on how they chose which numbers to use on their line plots (MP3).

Representation: Internalize Comprehension. Activate or supply background knowledge. Provide either a blank line plot on grid paper or a copy of a previously created line plot for students to use as a reference. The components of the line plot can be reviewed once again before getting to work.
Supports accessibility for: Organization, Memory

### Required Materials

Materials to Copy

• Line Plot Template

### Launch

• Groups of 2
• Give each student the Line Plot Template.
• Display the table showing plant heights.
• “Los estudiantes de segundo grado sembraron plantas en la clase de ciencias. Cada uno midió la altura de su planta. La altura nos dice la longitud de la planta desde la tierra hasta la punta del tallo” // “Second grade students were growing plants in science class. They each measured the height of their plants. Height tells us the length of the plant from the soil to the top of the stem.”
• “Así representaron ellos sus datos” // “Here is how they represented their data.”
• 30 seconds: quiet think time

### Activity

• “Su tarea es hacer un diagrama de puntos que represente estos datos. Piensen en cómo quieren escribir los números debajo de cada marca. Asegúrense de incluir un título, marcar sus unidades de medida y pensar en cómo están dibujando sus Xs para que otros puedan leer fácilmente sus datos” // “Your job is to create a line plot to represent this data. Think about how you want to label the tick marks with numbers. Be sure to include a title, label your units of measure, and think about how you are drawing your Xs so others can easily read your data.”
• 8 minutes: independent work time
• “Comparen su diagrama de puntos con el de su pareja” // “Compare your line plot with your partner’s.”
• 2 minutes: partner discussion
• Monitor for students with clear and accurate line plots.

### Student Facing

Usa los datos de esta tabla para hacer un diagrama de puntos.

Grupo B altura de las plantas (centímetros)
Andre 33
Clare 25
Diego 27
Elena 25
Han 35
Kiran 26
Noah 30
Priya 26
Tyler 33

### Activity Synthesis

• Invite 23 students to display their line plots.
• “¿Cómo decidieron con cuáles números empezar y terminar su diagrama de puntos?” // “How did you decide which numbers to start and end your line plot with?” (I looked at the table to find the shortest and longest lengths.)
• “¿En qué se parecen estos diagramas de puntos? ¿En qué son diferentes?” // “How are these line plots the same? How are they different?”
• “¿Qué pueden decir sobre la altura de sus plantas cuando miran el diagrama de puntos?” // “What can you say about the height of their plants by looking at the line plot?” (There are 3 Xs over 33, so those plants all measured 33 cm. Only 1 plant was 27 cm.)
• “¿Cuántos estudiantes tenían una planta que medía más de 30 cm?” // “How many students had a plant that measured more than 30 cm?” (4 because 3 had 33 and 1 had 35).

## Activity 2: Interpretemos datos de medidas en un diagrama de puntos (15 minutes)

### Narrative

The purpose of this activity is to interpret measurement data represented by line plots. Students use the line plots they created in the previous activity and another line plot about plant heights to answer questions. In the activity synthesis, students share how they found the difference between two lengths using the line plot and discuss how the structure of the line plot helps to show differences (MP7).

MLR8 Discussion Supports. Activity: Display sentence frames to support small group discussion: “Estoy de acuerdo porque . . .” // “I agree because. . . .” and “Estoy en desacuerdo porque . . .” // “I disagree because. . . .” Listen for the appropriate use of comparative words such as shortest and tallest.

• Groups of 2

### Activity

• “Ahora van a usar los diagramas de puntos que hicieron para responder preguntas sobre los datos de las medidas” // “Now you are going to use the line plots you have created to answer questions about the measurement data.”
• “También van a responder algunas preguntas basándose en el diagrama de puntos que hizo Han” // “You will also answer a few questions based on a line plot created by Han.”
• 8 minutes: independent work time
• Monitor for students who notice they can count the length units on the line plot to find the difference between the tallest and shortest plant.
• “Revisen sus respuestas con su pareja y compartan lo que aprendieron sobre el diagrama de puntos de Han” // “Check your answers with your partner and share what you learned about Han's line plot.”
• 3 minutes: partner discussion
• Monitor for a variety of student statements about Han's line plot to share in the lesson synthesis.

### Student Facing

El proyecto de las plantas

Responde las preguntas basándote en tu diagrama de puntos.

1. ¿Cuál fue la altura de la planta más pequeña?
2. ¿Cuál fue la altura de la planta más alta?
3. ¿Cuál es la diferencia entre la altura de la planta más alta y la de la planta más pequeña? Escribe una ecuación para mostrar cómo lo sabes.

Responde las preguntas basándote en el diagrama de puntos de Han.

4. Han examinó el diagrama de puntos y dijo que la planta más alta medía 29 centímetros. ¿Estás de acuerdo con él? ¿Por qué sí o por qué no?
5. ¿Cuántas plantas se midieron en total?
6. Escribe una afirmación basada en el diagrama de puntos de Han.

### Activity Synthesis

• Invite 1–2 students to share how they found the difference between the height of the tallest and shortest plants on their line plot.
• “¿Cómo les ayuda el diagrama de puntos a ver las diferencias que hay en las medidas que se recolectaron?” // “How does the line plot help you see differences in the measurements that are collected?” (Each tick mark is the same length apart. You can count the distance between each. You can see if there’s a big or small difference between the measurements by how they are spread out.)

## Lesson Synthesis

### Lesson Synthesis

“Hoy ustedes hicieron diagramas de puntos para representar los datos de medidas de alturas de plantas, respondieron preguntas sobre los datos y compartieron afirmaciones basadas en lo que aprendieron de los diagramas de puntos” // “Today you created line plots to represent measurement data about plant heights, answered questions about the data, and shared statements based on what you learned from the line plots.”

Display Han’s line plot:

Invite previously selected students to share their statements based on Han's line plot.

If time permits, share additional responses.