The purpose of this Warm-up is to elicit what students know about length measurement and about units of measurement. While no unit is specified for the ruler in the image, students are likely to bring up centimeters (given the way each 1 unit is partitioned into 10 smaller parts, as seen on centimeter rulers). The work here prepares students to think about the relationship between meters and centimeters later in the lesson.
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 compañero lo que pensaron” // “Discuss your thinking with your partner.”
1 minute: partner discussion
Share and record responses.
Student Task Statement
¿Qué observas? ¿Qué te preguntas?
Student Response
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Advancing Student Thinking
Activity Synthesis
Consider sharing that the large insect is a stick insect. (The longest species of stick insect ever found measured more than 60 cm.) The small insect is a green potato bug.
“Si cada unidad de la regla mide 1 centímetro, ¿aproximadamente cuánto mide la chinche de papa?” // “If each unit in the ruler is 1 centimeter, about how long is the potato bug?” (1 cm) “¿Y el insecto palo?” // “What about the stick insect?” (About 16 cm with the antennae, about 12 cm otherwise.)
Activity 1
25 mins
¿Qué tan largo es 1 metro?
Standards Alignment
Building On
Addressing
4.MD.A.1
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs , , , …
The purpose of this activity is for students to develop an intuition of 1 meter as 100 times as long as 1 centimeter. Students build a 1-meter long strip out of centimeter grid paper. They use this tool to identify objects or distances that are about 1 meter long.
MLR8 Discussion Supports. Synthesis: At the appropriate time, give groups 2–3 minutes to plan what they will say when they present to the class. “Practiquen lo que van a decir cuando compartan sus predicciones y sus resultados con toda la clase. Hablen sobre qué es importante decir y decidan quién va a compartir cada parte” // “Practice what you will say when you share your predictions and results with the class. Talk about what is important to say, and decide who will speak and who will share each part.” Advances: Speaking, Conversing, Representing
Launch
Groups of 3–4
Give each group 2–3 sheets of centimeter grid paper, 2–3 pairs of scissors, and some tape.
“Cada cuadrado de la hoja de papel cuadriculado mide 1 centímetro de largo” // “Each square on the paper is 1 centimeter long.”
“En grupo, corten el papel cuadriculado de 1 centímetro en tiras. Después, únanlas para hacer una tira de papel que mida exactamente 1 metro de largo” // “Work with your group to cut the centimeter grid paper into strips and then join them to make a strip of paper that is exactly 1 meter long.”
Activity
“Después de que hayan hecho su tira de 1 metro de largo, identifiquen algunos objetos en el salón de clase o algunas distancias que crean que miden aproximadamente 1 metro de largo. Después, usen su herramienta para comprobar sus predicciones” // “After your 1-meter-long strip is made, identify some objects in the classroom or some distances you think are about 1 meter long. Then use your tool to check your predictions.”
15 minutes: group work on the first two problems
2–3 minutes: independent work on the last problem
Student Task Statement
Usa el papel cuadriculado de 1 centímetro para armar una tira que mida 100 centímetros de largo. Vas a necesitar tijeras y cinta.
Si lo haces de manera precisa, tu tira de papel tendrá 1 metro de largo.
Haz una lista de 5 cosas del salón de clase que creas que miden aproximadamente 1 metro de largo.
Después usa tu tira de papel para comprobar qué tan cerca de 1 metro está tu predicción.
Decide si cada uno de los siguientes mide más de 1 metro, menos de 1 metro o aproximadamente 1 metro.
El insecto palo de la actividad de calentamiento
El paso que das al caminar
El paso que das al correr
La distancia que abarcan tus brazos
Activity Synthesis
Invite groups to share their predictions and the results of their measurement.
Select students to share their responses to the last problem. If time permits, allow students to measure the arm span or step length of a few students.
“¿Cuántos cuadrados de la cuadrícula de 1 centímetro unieron para formar 1 metro?” // “How many 1-centimeter grid squares did you put together to make 1 meter?”
Activity 2
10 mins
En la escuela y alrededor de ella
Standards Alignment
Building On
Addressing
4.MD.A.1
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs , , , …
In this activity, students analyze sample work, which shows converting meters to centimeters, to develop the understanding that a meter is “100 times as long” as a centimeter. They correct errors in reasoning, centering around place value (MP3).
Representation: Access for Perception. Begin by demonstrating how to measure the height of the classroom door with a meter stick (or a student’s meter strip from the previous activity) to support understanding of the context. Pause after measuring each meter to ask students, “¿Cuántos centímetros medimos?” // “How many centimeters have we measured?” As students begin working independently, invite them to imagine using their meter strip to find each measurement. Supports accessibility for: Conceptual Processing, Visual-Spatial Processing
Launch
Groups of 2
Read the opening paragraph as a class. Ask 1–2 students to reframe the context in their own words.
Activity
“Tómense 5 minutos en silencio para identificar y corregir los errores de Priya y para encontrar la medida que falta. Después, compartan con su compañero cómo pensaron” // “Take 5 quiet minutes to spot and correct Priya’s errors and find the missing measurement. Then share your thinking with your partner.”
5 minutes: independent work time
3–4 minutes: partner discussion
Monitor for students who place zeros for the measurement in centimeters and those who explicitly reason in terms of 100 times the value in meters.
Student Task Statement
Priya tomó algunas medidas, en metros, y las anotó en la tabla. Pero cometió algunos errores al convertirlas a centímetros. También le faltó una medida.
medida (metros)
medida (centímetros)
a. altura de una puerta
2
200
b. altura del pasillo
3
30
c. ancho del pasillo
5
500
d. longitud del gimnasio
18
180
e. longitud del pasillo
27
2,700
f. longitud del patio de recreo
50
Encuentra y corrige los errores de conversión de Priya. Explica cómo lo sabes.
Anota la longitud del patio de recreo, en centímetros. Escribe una ecuación que represente cómo pensaste.
Student Response
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Advancing Student Thinking
If students show they are thinking about the number of zeros to place after the digits in the measurement in meters when converting to centimeters, consider asking:
“¿Cómo decidiste si las medidas en centímetros de Priya eran correctas o no?” // "How did you decide whether Priya's measurements in centimeters were correct or not?"
“¿Cómo puedes usar las tiras que hicimos para explicar tu decisión?” // "How could you use the strips we made to explain why this happens?"
Activity Synthesis
See the Lesson Synthesis.
Lesson Synthesis
“Hoy examinamos centímetros y metros, y los relacionamos con nuestro trabajo sobre la multiplicación” // “Today we looked at centimeters and meters, and related them to our multiplication work.”
“Escriban una oración que describa la relación que hay entre las dos unidades. Sean específicos y precisos en las palabras que escojan” // “Write one sentence to describe the relationship between the two units. Be specific and precise in your word choice.”
While students’ statements may emphasize the equivalence of 1 meter and 100 centimeters (“1 meter is 100 centimeters”), highlight explanations that articulate the multiplicative relationship of the two units (“1 meter is 100 times as long as 1 centimeter”).
Display the table showing Priya’s measurements. Invite students to share their responses to the last activity.
Reiterate the multiplicative relationship of the values in the two columns, revoicing students’ responses as needed. (For instance, “If 1 meter is 100 times 1 centimeter, then 3 meters must be centimeters or 300 centimeters, rather than 30 centimeters.”)
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Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs , , , …