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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.
¿Qué observas? ¿Qué te preguntas?
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.
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.
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).
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 |
“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.”)