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The purpose of this Number Talk is to elicit the strategies and understandings students have for fraction multiplication. The whole number 60 is intentionally selected to represent the minutes in one hour. These understandings help students develop fluency and will be helpful later in this lesson when students will need to interpret the number of minutes as fractional parts of one hour.
1 minute: quiet think time.
Encuentra mentalmente el valor de cada expresión.
The purpose of this activity is for students to think about different activities they might participate in during free time, to generate data based on the activities, and to define categories for the data. When students collect data and define categories for the data, they model with mathematics (MP4). Encourage students to convert the time for their activities from minutes to hours. Students may notice that some fractions are more useful in the context of time, such as halves and quarters of an hour. Students will further explore further the relationship between time and fractions in the Activity Synthesis.
Imagina que tienes 2 horas libres durante el fin de semana y que las puedes dedicar a hacer lo que quieras.
The purpose of this activity is for students to make and analyze line plots. In this activity, students analyze the free-time data collected in the previous activity. They make observations and comparisons to tell the story of their data set.
Tu profesor te va a asignar un póster que tiene un conjunto de datos de una de las categorías de la actividad anterior.
“Hoy usamos fracciones de horas para hablar sobre qué podríamos hacer en nuestro tiempo libre. En el calentamiento vimos estas expresiones” // “Today, we used fractions of hours to talk about how we might spend free time. In the Warm-up, we saw these expressions.”
Display and .
“¿Qué conexiones observan entre estas expresiones y las fracciones de una hora?” // “What connections do you notice between these expressions and fractions of an hour?” (There are 60 minutes in 1 hour, so we can see that of an hour is 1 hour and 15 minutes or minutes.)
“Hoy también hicimos y analizamos diagramas de puntos” // “Today, we also made and analyzed line plots.”
“¿Quiénes podrían estar interesados en recolectar y analizar datos como estos? ¿Por qué?” // “Who might be interested in collecting and analyzing data such as this? Why?” (Makers of children’s toys, stores, and advertisers want to know how kids spend their time so that they can make money or sell the things kids want. Parents and educators want to know how kids spend time to see if it is what they should be doing.)
Consider having students respond to the previous question as a journal prompt.