Lesson 7

Midamos longitudes con diferentes unidades de longitud

Warm-up: Observa y pregúntate: Cubos grandes y cubos pequeños (10 minutes)

Narrative

This warm-up prompts students to consider the same object being measured with different length units to set students up to measure with different units in the next activity.

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

Student Facing

¿Qué observas?
¿Qué te preguntas?
Markers with cubes below. Black marker, 6 connecting cubes. Green marker, 12 small cubes.

Student Response

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Activity Synthesis

  • “¿Alguien puede expresar la idea de ______ con otras palabras?” // “Can anyone restate _____’s idea?”

Activity 1: Midamos con diferentes objetos (20 minutes)

Narrative

The purpose of this activity is for students to measure the same length using three different length units. Students choose which units they would like to use. When groups compare their measurements, they notice that although they measured the same length, they got different measurements. They consider why this could be and determine that when they use a different size length unit, they get a different number to describe the length. Some students may notice that the number of units needed depends on the size of each individual length unit, but this is not a discussion point until grade 2.

Engagement: Develop Effort and Persistence. Invite students to generate a list of shared expectations for group work. Record responses on a display and keep visible during the activity.
Supports accessibility for: Social-Emotional Functioning, Organization

Required Preparation

  • Create sets of 30 connecting cubes, 50 base-ten cubes (centimeter cubes), twenty 2-inch paper clips, and twenty 1-inch paper clips for each group.
  • Put 18-inch strips of tape on the floor for each group. 

Launch

  • Groups of 24
  • Give each group access to the different length units.
  • “¿Quién usa los zapatos más grandes en su familia?” // “Who wears the biggest shoes in your family?”
  • Share responses.
  • “¿Qué tan largos creen que van a ser sus zapatos cuando ustedes sean adultos?” // “How long do you think your shoes will be when you are grown up?”
  • Share responses.
  • “Un hombre que se llama Jeison Orlando Rodríguez Hernández tiene el récord de tener los pies más largos del mundo. Él tiene que mandar a hacer sus zapatos porque las tiendas no venden zapatos tan grandes” // “A man named Jeison Orlando Rodriguez Hernandez holds the record for having the longest feet in the world. He has to have his shoes specially made because stores don't sell shoes big enough.”

Activity

  • “En el piso hay cintas que muestran la longitud del pie de Jeison. Ustedes van a medir la longitud del pie de Jeison usando diferentes objetos” // “There are strips of tape on the floor that show the length of Jeison’s foot. You will measure the length of his foot using different objects.”
  • Read the task statement.
  • 12 minutes: partner work time
  • “Comparen sus medidas con las de otro grupo. ¿Qué observan?” // “Compare your measurements with another group. What do you notice?”
  • 2 minutes: small group discussion

Student Facing

Marca 3 objetos que vas a usar:

cubos encajables

cubos pequeños

clips pequeños

clips grandes

Mide la longitud del pie de Jeison con cada objeto que escojas y completa la tabla.

objeto longitud

Student Response

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Activity Synthesis

  • “¿Qué observaron cuando midieron el pie de Jeison usando diferentes objetos?” // “What did you notice when you measured the length of Jeison's foot using different objects?”
  • If needed, ask, “¿Por qué obtuvimos diferentes números cuando usamos diferentes objetos?” // “Why did we get different numbers when we used different objects?” (The objects we used had different lengths. Some were shorter and some were longer. We used more small cubes to measure the length than any other object.)

Activity 2: Midamos el zapato del profesor (15 minutes)

Narrative

The purpose of this activity is for students to use what they have learned about measuring length to determine whether measurements are accurate. Students understand that they need to use same-size units to be precise in their measurements (MP6).

MLR8 Discussion Supports. Activity: Display sentence frames to support partner discussion: “Yo pienso que la medida es precisa porque...” // “I think the measurement is accurate because…” and “Yo pienso que la medida no es precisa porque...” // “I think the measurement is not accurate because…”
Advances: Speaking, Conversing

Launch

  • Groups of 2

Activity

  • Read the task statement.
  • 810 minutes: partner work time
  • Monitor for students who can explain whose measurements are accurate and whose are not accurate and why.

Student Facing

  1. Andre midió el zapato de su profesor y dijo que medía 15 cubos encajables de largo.

    ¿Su medida es precisa?

    ¿Por qué sí o por qué no?

  2. Jada midió el zapato de su profesor y dijo que medía 12 cubos encajables de largo.

    Shoe. Underneath from toe to heel, 12 connecting cubes all the same size, most cubes have space in between.

    ¿Su medida es precisa?

    ¿Por qué sí o por qué no?

  3. Clare midió el zapato de su profesor y dijo que medía 30 cubos pequeños de largo.

    Shoe. Underneath from toe to heel, 30 small cubes, same size, no space between the cubes.

    ¿Su medida es precisa?

    ¿Por qué sí o por qué no?

  4. Kiran midió el zapato de su profesor y dijo que medía 19 cubos de largo.

    Shoe. Underneath from toe to heel, 19 cubes, two different sizes, no space in between the cubes.  

    ¿Su medida es precisa?

    ¿Por qué sí o por qué no?

Student Response

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Advancing Student Thinking

If students say that Clare's measurement is inaccurate because she did not use connecting cubes or because the measurement is not 15, encourage students to tell you more about what they mean. Consider asking:

  • “¿En qué se parece la forma en que Clare midió a la forma en que nosotros medimos objetos en la actividad anterior?” // “How is the way Clare measured like how we measured objects in the last activity?”
  • “¿Clare midió toda la longitud del zapato con los bloques pequeños?” // “Did Clare measure the entire length of the shoe with the small blocks?”
  • “¿En qué se parecen los bloques pequeños? ¿En qué son diferentes?” // “How are the small blocks the same? How are they different?”

Activity Synthesis

  • Display the image for Jada’s measurement.
  • “¿La medida de Jada es precisa? ¿Por qué sí o por qué no?” // “Is Jada’s measurement accurate? Why or why not?” (It is not accurate because there are gaps between some of the cubes.)
  • Display the image for Kiran’s measurement.
  • “¿La medida de Kiran es precisa? ¿Por qué sí o por qué no?” // “Is Kiran’s measurement accurate? Why or why not?” (Kiran’s measurement is not accurate because the cubes are different sizes.)
  • “¿Qué podría cambiar Kiran para que su medida sea precisa?” // “What could Kiran change to make his measurement accurate?” (He could use all connecting cubes or all the little cubes, instead of using some of each.)
  • “Cuando medimos una longitud con objetos, es importante que cada objeto tenga la misma longitud” // “When we measure a length with objects it is important that each object has the same length.”

Lesson Synthesis

Lesson Synthesis

Display the images that show Andre’s measurement of his teacher’s shoe from the previous activity.

“Hoy vimos cómo otros estudiantes midieron el zapato de su profesor. Decidimos que la medida de Kiran de 19 cubos no era correcta porque él usó algunos cubos encajables y algunos cubos pequeños” // “Today we looked at how other students measured their teacher’s shoe. We decided that Kiran’s measurement of 19 cubes was not accurate because he used some connecting cubes and some small cubes.”

“Kiran dice que la medida de Andre tampoco puede ser correcta porque él usó dos cubos diferentes” // “Kiran says that Andre’s measurement must not be accurate either because he used two different cubes.”

“¿Qué creen que Kiran quiere decir? ¿Están de acuerdo con su argumento sobre la medida de Andre?” // “What do you think Kiran means? Do you agree with his argument about Andre’s measurement?” (I think he means there are 2 different colors. I disagree. The different colors do not matter. Each connecting cube has the same length. Each cube is the same size and Andre did not have any gaps or overlaps.)

As time permits, display Clare’s measurement and ask, “¿Y qué hay de la medida de Clare? Ella usó cubos pequeños de varios colores. ¿Su medida de 30 cubos pequeños es correcta?” // “What about Clare’s measurement? She used many different colors of small cubes. Is her measurement of 30 small cubes accurate?” (Yes, it’s accurate. The color isn’t what matters. What matters is that each cube has the same length and that there are no gaps or overlaps.)

Cool-down: La longitud de un zapato (5 minutes)

Cool-Down

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