Lesson 15
Exploración de estimación
Warm-up: Exploración de estimación: Sombrillas (10 minutes)
Narrative
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
¿Cuántas sombrillas hay?
![photograph. street crowded with people. many have umbrellas.](https://staging-cms-im.s3.amazonaws.com/lw3c948dum1cdcbf4pxp0lvhlly6?response-content-disposition=inline%3B%20filename%3D%22joseph-chan-hsQhsVb6l1U-unsplash.jpg%22%3B%20filename%2A%3DUTF-8%27%27joseph-chan-hsQhsVb6l1U-unsplash.jpg&response-content-type=image%2Fjpeg&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240825%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240825T044927Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=cf1978c9651ce5ccfcd98bceddf490159556630f2ea9141af4d0b2b4e8eba886)
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
- “¿A qué tuvo que prestarle atención el autor de esta actividad cuando la diseñaba?” // “What did the writer of this activity have to pay attention to when they designed this activity?” (Something in the image that shows how many things fit in one line or a small part of the image. An image where it is hard to see or count the exact number of objects.)
- 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 work in groups to create an Estimation Exploration activity that focuses on multi-digit multiplication. Students use an object from the classroom, their own drawing, or find an image in a book or from another source and fill in how other students might estimate the quantity of items.
Supports accessibility for: Language, Attention, Conceptual Processing
Launch
- Groups of 3 or 4
- “En grupo, creen una actividad tipo ‘Exploración de estimación’ sobre el conteo de un número grande de objetos” // “Work with your group to create an Estimation Exploration activity about counting a large number of objects.”
Activity
- 15 minutes: small-group work time
Student Facing
- Encuentren una imagen que motive a sus compañeros a estimar el número total de un tipo de objeto usando estrategias de multiplicación de números de varios dígitos.
- Escriban las estimaciones que los estudiantes podrían hacer.
Escriban una estimación que sea:
muy baja razonable muy alta \(\phantom{\hspace{2.2cm} \\ \hspace{2.2cm}}\) \(\phantom{\hspace{2.2cm} \\ \hspace{2.2cm}}\) \(\phantom{\hspace{2.2cm} \\ \hspace{2.2cm}}\)
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?” (What if there are so many things that it's hard to estimate? Like people in a stadium or leaves on a tree or trees in a forest? What if there are not so many things and estimating is simpler, like the number of kids in a classroom or the number of pattern blocks in a container?)
- Give students a few minutes to make adjustments based on questions, 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 for another group in the class. Each group should be paired with another group and they will take turns facilitating their Estimation Exploration for the other group. If time allows, students could facilitate their Estimation Exploration with more than 1 group.
Advances: Speaking, Conversing, Representing
Required Materials
Materials to Gather
Launch
- Groups of 3 or 4
- Give each group a piece of chart paper and a marker to record responses.
- “Trabajen juntos con otro grupo. Cada grupo va a presentar su ‘Exploración de estimación’” // “Pair up with another group in the class. Each group will present their Estimation Exploration.”
Activity
- 10–12 minutes: small-group work time
- Remind students to switch roles halfway through the time allowed.
Student Facing
- Muéstrenle su imagen a los otros compañeros.
- Pregúntenles: “¿Qué estimación sería muy alta?, ¿muy baja?, ¿razonable?”.
- Denles un minuto para pensar en silencio.
- Denles un minuto para que ellos discutan.
- Pídanles que compartan sus estimaciones.
- Escriban las ideas que escuchan.
Student Response
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Activity Synthesis
- “¿Qué aprendieron mientras presentaban su ‘Exploración de estimación’?” // “What did you learn as you presented your Estimation Exploration?” (I learned that ranges of estimates might be bigger than you expect. I learned that it’s important to understand the size of the items you are trying to estimate or be familiar with it, otherwise you cannot make good estimates.)
Lesson Synthesis
Lesson Synthesis
“¿Cuáles fueron las cosas más importantes que tuvieron en cuenta mientras creaban su actividad tipo ‘Exploración de estimación’? ¿Por qué fueron importantes estas cosas?” // “What were the most important things that you had to consider as you created your Estimation Exploration? Why were these things important?” (I needed to find things that were organized so that it was possible to make some estimates. There needed to be a lot, so it wasn't possible to just count them. But if there were too many, then making an estimate was really hard.)
Cool-down: Reflexiona (5 minutes)
Cool-Down
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