Lesson 10

Usemos gráficas de dibujos y gráficas de barras para representar datos

Warm-up: Cuál es diferente: Datos (10 minutes)

Narrative

The purpose of this warm-up is for students to compare four data representations. Students use and revise their language to clearly describe the features of each data representation and explain how they are the same and how they are different (MP6). Students show they understand that data represents a context when they reason about whether the graphs represent the same or different contexts (MP2). Students have seen categorical data represented in each of these ways except the horizontal bar graph. Allow students to discuss what they think of that representation.

Launch

  • Groups of 2
  • Display image.
  • “Escojan una que sea diferente. Prepárense para compartir por qué es diferente” // “Pick one that doesn’t belong. Be ready to share why it doesn’t belong.”
  • 1 minute: quiet think time

Activity

  • “Discutan con su pareja lo que pensaron” // “Discuss your thinking with your partner.”
  • 2–3 minutes: partner discussion
  • Share and record responses.

Student Facing

¿Cuál es diferente?

ABar graph. Favorite Fruit. Vertical axis labeled bananas, grapes, oranges, apples. Length of bar: Bananas, 2. Grapes, 9. Oranges, 3. Apples, 6. Horizontal axis labeled from 0 to 9 by 1s.

BBar graph. Fruits We Love. Horizontal axis labeled apples, oranges, grapes, bananas. Vertical axis from 0 to 9 by 1s. Height of bar at each category; Apples,6, Oranges, 3. Grapes, 2. Bananas, 9.
CPicture Graph. Fruits We Love. Key: one fruit represents one response. Apples, 6. Oranges, 3. Grapes, 2. Bananas, 9.

DData Chart. Apples, 6. Oranges, 3. Grapes, 9. Bananas, 2.

Student Response

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Activity Synthesis

  • “¿En qué es diferente la gráfica A de otras gráficas que hemos visto? ¿En qué se parece?” // “How is graph A different from other graphs we have seen? How is it the same?”

Activity 1: Hagamos gráficas de dibujos (20 minutes)

Narrative

The purpose of this activity is for students draw their own picture graphs to represent given data. Each student receives a data table to use. After drawing their own graphs, they share their graph with a partner and receive feedback on what is clear and what they could improve. As students represent the data and share their graphs with others, they notice and describe the features of picture graphs that make it easy for others to understand (MP3, MP6). While students are making their graphs, monitor for any features that many students leave out (for example, titles or category labels) to emphasize when sharing in the synthesis.

The data tables will be used again in the next activity.

This activity uses MLR8 Discussion Supports. Advances: reading, writing, and conversing.

Required Materials

Materials to Copy

  • Data Tables, Spanish
  • Picture and Bar Graph Template

Required Preparation

  • Each student needs 1 data table from the blackline master. Each student in a group of 2 may receive different data tables.

Launch

  • Groups of 2
  • Display “2nd Graders’ Favorite Sports” graph.
  • “¿Qué cosas pueden saber sobre los deportes favoritos de los estudiantes de segundo grado usando esta gráfica?” // “What can you learn about 2nd graders’ favorite sports from this graph?”
  • “¿Cuáles son algunas características de esta gráfica que nos ayudan a entender los datos?” // “What are some features of this graph that help us understand the data?”
  • Share responses.
  • Highlight the important features (title, labels, and pictures or symbols).

Activity

  • “Ahora van a hacer su propia gráfica de dibujos” // "Now you are going to create your own picture graph."
  • Give each student 1 data table and a graph template from the blackline master.
  • “Escriban el número de la tabla de datos en su página” // “Write the number of the data table on your page.”
  • “En esta gráfica se usan caritas felices, pero pueden escoger algo diferente cuando hagan su gráfica” // “This graph uses smiley faces, but you may choose something different when you make your graph."
  • “Piensen qué dibujo van a usar. Después, representen en una gráfica de dibujos los datos que se muestran en su tabla” // "Think about what picture you are going to use, then represent the data shown in your table in a picture graph.”
  • 10 minutes: independent work time
  • Monitor for students who use symbols that are easy to draw.
  • “Intercambien las gráficas con su pareja” // “Switch graphs with your partner.”
  • “Díganle a su pareja 1 cosa que crean que hizo muy bien y 1 cosa sobre la que todavía tengan una pregunta” // “Tell your partner 1 thing you think they did really well and 1 thing you still have a question about.”

MLR8 Discussion Supports

  • Display sentence frames.
  • “Hiciste _____ muy bien en tu gráfica” // “You did _____ really well in your graph.”
  • “¿Por qué hiciste . . . ?” // “Why did you . . . ?”
  • “¿Puedes decir algo más sobre . . . ?” // “Can you say more about . . . ?”
  • 5 minutes: partner work time

Student Facing

A un grupo de estudiantes de segundo grado les preguntaron: “¿Cuál es su deporte favorito?”. Sus respuestas se muestran en esta gráfica de dibujos.

Picture Graph. Second Graders' Favorite Sports. Key: smiley face represents one student. Gymnastics, 5 smiley faces. Basketball, 4 smiley faces. Hockey, 2 smiley faces. Soccer, 6 smiley faces.

Representa en una gráfica de dibujos los datos que se muestran en tu tabla.

Tabla # _______

Student Response

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Activity Synthesis

  • Display graphs of previously selected students.
  • “¿En qué se parecen estas gráficas? ¿En qué son diferentes?” // “What is same about these graphs? What is different?”
  • 1 minute: quiet think time
  • 12 minutes: partner discussion
  • Share responses.
  • Consider asking selected students:
    • “¿Por qué escogieron ese símbolo?” // “Why did you choose that symbol?”
    • “¿Qué otras características le agregaron a su gráfica para ayudar a otras personas a entenderla?” // "What other features did you add to your graph to help others' understand it?"

Activity 2: Dibujemos gráficas de barras (15 minutes)

Narrative

The purpose of this activity is for students to represent data in a bar graph. Students use the same data tables from Activity 1, but switch with a partner to make sure they have new data. In the synthesis, students revisit the similarities and differences between the features of picture graphs and bar graphs by describing what it was like to draw each type of graph. Like the previous activity, students share their graphs with others and compare the different features they include to make their data clear to others (MP3, MP6).

Engagement: Provide Access by Recruiting Interest. Use a timer to help students anticipate and prepare for transitions. A timer set for specific work time, before sharing work with a partner, will help students stay focused. When the timer is up, students will share their work.
Supports accessibility for: Attention, Organization

Required Materials

Materials to Copy

  • Picture and Bar Graph Template

Launch

  • Groups of 2
  • Display “Fruits We Love” bar graph with the categories covered.
  • “¿Qué creen que son las palabras en la parte de abajo? ¿Por qué?” // “What do you think the labels are on the bottom? Why?”
  • 2 minutes: partner discussion
  • Share and record responses.
  • “¿Cuáles son algunas características de esta gráfica que nos ayudan a entender los datos?” // “What are some features of this graph that help us understand the data?”
  • Share responses.
  • Highlight the important features (title, labels, numbers/scale).

Activity

  • Give each student a copy of the graph template.
  • Prompt students to trade data tables with their partner or another student.
  • “Cuando hagan su propia gráfica de barras, usen la cuadrícula para dibujar una gráfica de barras que represente los datos de su tabla de datos” // “When you make your own bar graph, use the grid to draw a bar graph that represents the data in your data table.”
  • “Escriban el número de la tabla de datos en su página” // “Write the number of the data table on your page.”
  • “Después de hacer su gráfica de barras, compárenla con la de un compañero” // “After you have made your bar graph, compare with a partner.”
  • 10 minutes: independent work time

Student Facing

A un grupo de estudiantes les preguntaron: “¿Qué fruta les encanta comer?”. Sus respuestas se muestran en esta gráfica de barras.

Bar graph. Fruits We Love. Horizontal axis labeled apples, oranges, grapes, bananas. Vertical axis from 0 to 9 by 1s. Height of bar: Apples, 6. Oranges, 3. Grapes, 2. Bananas, 9.

Representa en una gráfica de barras los datos que se muestran en tu tabla.

Tabla # _______

Three boxes of fruit. First box. Apples, 8. Labeled 10 cents. Second box. Oranges, 12. Labeled 5 cents. Third box. Watermelons. Labeled, 50 cents.

Student Response

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Activity Synthesis

  • “¿Cómo supieron qué tan alta debían hacer cada barra en su gráfica?” // “How did you know how high to make each bar in your graph?”  (I knew 8 people liked math best, so I found 8 on the side and shaded in from that line down.)
  • “¿En qué fue parecido dibujar una gráfica de barras a dibujar una gráfica de dibujos? ¿En qué fue diferente?” // "How was drawing a bar graph like drawing a picture graph? How was it different?" (Just like picture graphs we had to use labels and titles and make sure the numbers matched. It was different because we didn't have to draw different pictures, we could just use the scale and draw towers to match. In a bar graph you have to write the numbers on the side.)

Lesson Synthesis

Lesson Synthesis

“Hoy hicieron gráficas de dibujos y gráficas de barras para representar datos” // “Today you made picture graphs and bar graphs to represent data.“

“¿Qué cosa nueva aprendieron hoy sobre gráficas?” // “What is something new about graphs that you learned today?”

“¿Qué cosa nueva aprendieron cuando trabajaron con su pareja?” // "What is something new that you learned from working with your partner?"

“¿Qué cambiaron hoy en su gráfica para que otras personas pudieran entender los datos más fácilmente?” // “How did you revise your graph today to make it easier for someone else to understand the data?”

“Mañana van a usar sus gráficas para escribir preguntas que van a responder sus compañeros y van a responder las preguntas de ellos usando las gráficas” // “Tomorrow you will use your graphs to write questions for your classmates to answer and have the chance to answer their questions based on the graphs.”

Cool-down: Gráficas de frutas que nos encantan (5 minutes)

Cool-Down

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