Lesson 14

Exploración de estimación

Warm-up: Exploración de estimación: Medida fraccionaria (10 minutes)

Narrative

The purpose of an Estimation Exploration is to practice the skill of estimating a reasonable answer based on experience and known information. In the synthesis, discuss what students know about Estimation Explorations and what they need to think about to create one like this example.

Launch

  • Groups of 2
  • Display the image.
  • “¿Qué estimación sería muy alta?, ¿muy baja?, ¿razonable?” // “What is an estimate that’s too high? Too low? About right?”
  • 1 minute: quiet think time

Activity

  • “Discutan con su compañero cómo pensaron” // “Discuss your thinking with your partner.”
  • 1 minute: partner discussion
  • Record responses.

Student Facing

¿Cuál es la longitud de esta lombriz?

Escribe una estimación que sea:

muy baja razonable muy alta
\(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\) \(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\) \(\phantom{\hspace{2.5cm} \\ \hspace{2.5cm}}\)

Student Response

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Activity Synthesis

  • “¿Qué saben sobre las actividades tipo ‘Exploración de estimación’?” // “What do you know about Estimation Explorations?” (It's not about finding the exact answer. We make an estimate that is too low, too high, and about right. The estimate could be the value of an expression, the number of items in an image, or a measurement.)
  • Consider asking: “¿En qué tendrían que pensar si fueran a diseñar una actividad tipo ‘Exploración de estimación’ como esta?” // “What would you have to think about if you were going to design an Estimation Exploration like this one?” (There is something in the image that gives a clue about the general length of the object. Choosing an object that is not an exact length in whole inches.)
  • Record and display responses for all to see.

Activity 1: Diseñen su actividad tipo “Exploración de estimación” (20 minutes)

Narrative

The purpose of this activity is for students to collaborate and create an Estimation Exploration activity that focuses on fractional measurement. Students find an object from the classroom or an image in a book or another source. They anticipate and record what other students might estimate the length of the object to be.

Representation: Internalize Comprehension. Synthesis: Invite students to identify which details were most useful in creating an estimation exploration. Display the sentence frame, “La próxima vez que cree una actividad tipo ‘Exploración de estimación’, prestaré atención a . . .” // “The next time I create an estimation exploration, I will pay attention to . . . “
Supports accessibility for: Memory

Required Materials

Materials to Gather

Required Preparation

  • Each group of 2-3 needs picture books and a ruler to design their Estimation Exploration activity.

Launch

  • Groups of 2–3
  • Give each group picture books and a ruler.
  • “En grupo, creen una actividad tipo ‘Exploración de estimación’ acerca de medir objetos a la mitad o al cuarto de pulgada más cercano” // “Work with your group to create an Estimation Exploration activity about measuring objects to the nearest half or fourth of an inch.”

Activity

  • 15 minutes: small-group work time

Student Facing

  1. Busquen un objeto o una imagen con el que se podría hacer un problema de estimación interesante. Escriban una pregunta que motive a los demás a contestar con una longitud estimada a la mitad o al cuarto de pulgada más cercano.
  2. Piensen en las posibles estimaciones de la longitud del objeto o la imagen que otros podrían hacer.

    Escriban una estimación que sea:

    muy baja razonable muy alta
    \(\phantom{\hspace{2.2cm} \\ \hspace{2.2cm}}\) \(\phantom{\hspace{2.2cm} \\ \hspace{2.2cm}}\) \(\phantom{\hspace{2.2cm} \\ \hspace{2.2cm}}\)
  3. Midan la longitud del objeto o de la imagen para asegurarse de que sus estimaciones tienen sentido. Si es necesario, ajusten sus estimaciones.

Student Response

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Activity Synthesis

  • “¿Qué preguntas tienen todavía acerca de cómo crear una actividad tipo ‘Exploración de estimación’?” // “What questions do you still have about creating your Estimation Exploration?”
  • Give students a few minutes to make adjustments, if needed.

Activity 2: Dirijan su actividad tipo “Exploración de estimación” (15 minutes)

Narrative

The purpose of this activity is for students to facilitate the Estimation Exploration they created in the previous activity. Each group takes turns facilitating their Estimation Exploration for another group (or two groups, if time permits). 

MLR8 Discussion Supports. Synthesis: Display sentence frames to support whole-class discussion: “Aprendí . . .” // “I learned . . . “ “La próxima vez que cree una actividad tipo ‘Exploración de estimación’, voy a . . .” // “The next time I create an estimation exploration, I will . . . “
Advances: Speaking, Representing

Required Materials

Materials to Gather

Required Preparation

  • Each group of 2–3 from the previous activity needs 1 piece of chart paper and a marker.

Launch

  • Groups of 2–3 from the previous activity
  • Give each group a piece of chart paper and a marker to record responses.
  • “Ahora trabajen con otro grupo. Por turnos, dirijan la actividad tipo ‘Exploración de estimación’ que crearon” // “Now work with another group and take turns facilitating the Estimation Exploration activity you created.”

Activity

  • 10–12 minutes: small-group work time
  • Remind students to switch roles after 5–6 minutes.

Student Facing

  1. Muéstrenle su imagen a sus compañeros.
  2. Pregúntenles: “¿Qué estimación sería muy alta?, ¿muy baja?, ¿razonable?”.
  3. Denles un minuto para pensar en silencio.
  4. Denles un minuto para que discutan.
  5. Pídanles que compartan sus estimaciones.
  6. Anoten las ideas de sus compañeros.

Student Response

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Activity Synthesis

  • “¿Qué aprendieron mientras dirigían su actividad tipo ‘Exploración de estimación’?” // “What did you learn as you facilitated your Estimation Exploration?” (The estimates might be much higher or lower than expected. It helps to be familiar with what we're trying to estimate.)

Lesson Synthesis

Lesson Synthesis

“¿Qué cosas importantes tuvieron en cuenta sobre la longitud de los objetos cuando crearon su actividad tipo ‘Exploración de estimación’? ¿Por qué fueron importantes?” // “What were some important things you considered about the length of the object as you created your Estimation Exploration? Why were they important?” (To make it possible to estimate, we need to show how long 1 inch was compared to the length of the object. The object is not so large or so tiny that it would be hard to estimate to the nearest half or quarter inch, or that it wouldn't make sense to do so.)

Cool-down: Reflexiona sobre la actividad tipo “Exploración de estimación” (5 minutes)

Cool-Down

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