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This Warm-up prompts students to carefully analyze and compare features of expressions. In making comparisons, students have a reason to use language precisely. The activity also enables the teacher to gain insight into students’ understanding of properties of operations and how they talk about them. This activity prepares students to reason flexibly and to use multiple strategies (including writing different expressions) to solve word problems later in the lesson.
¿Cuáles 3 van juntas?
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Going on a Field Trip Cards, Spanish
In this activity, students encounter a multiplication problem that can be reasoned in a number of ways. After finding a solution, they analyze several other strategies. As they make sense of alternative solution paths and representations, students practice reasoning abstractly and quantitatively (MP2).
45 estudiantes van de excursión al museo. Los boletos para entrar al museo cuestan \$18 cada uno. Los profesores tienen \$900 para pagar los boletos de la excursión. ¿Será suficiente dinero para pagar los boletos de todos los estudiantes?
Si es así, ¿sobrará dinero? ¿Cuánto?
Si no es así, ¿cuánto dinero más se necesita?
Tu profesor te va a mostrar 5 estrategias para responder la pregunta anterior. Analiza las estrategias.
Consider offering students an option to create and stand by their own poster. During the Activity Synthesis, ask the class if they see any connections between the new poster and the strategy they selected.
Students begin the activity by looking at the problem displayed, rather than in their books. At the end of the Launch, students work on the problem. This activity prompts students to use what they know about multiplication, division, factors, and multiples to solve problems. The problem does not have a question, so students will need to make sense of the context and generate potential questions that might be answered (MP2). Students are encouraged in the task to attend to the details of the situation and to engage in genuine curiosity about the mathematics that is embedded within it.
This activity uses MLR5 Co-craft Questions. Advances: writing, reading, representing
MLR5 Co-Craft Questions
Los boletos de cine cuestan \$9 cada uno. En el teatro venden el mismo número de boletos 2 días seguidos.
El primer día, el teatro ganó \$3,132 por las ventas de boletos.
Escribe y responde una pregunta que escojas de la lista que crearon tus compañeros de clase. Discute con tu compañero la estrategia que usaste.
Usa la información dada sobre los boletos de cine para completar la siguiente afirmación:
__________ boletos se vendieron en total el primer y el segundo día.
“Hoy exploramos problemas de más de un paso que se pueden resolver usando diferentes estrategias. Por ejemplo, vimos al menos cinco formas de pensar en el producto de 45 y 18. En algunas de las estrategias se usan ecuaciones de multiplicación y de división, o se multiplica y se divide mentalmente” // “Today we encountered problems with more than one step that can each be solved using different strategies. For instance, we saw at least five ways to think about the product of 45 and 18. Some of the strategies involve using multiplication and division equations, or multiplying and dividing mentally.”
Display the five strategies from the first activity and students’ reasoning from the second activity.
“Repasen su trabajo de hoy. ¿Pueden encontrar un ejemplo en el que hayan resuelto un problema usando más de un paso?” // “Look back at your work today. Can you find an example in which you solved a problem by using more than one step?”
Record strategies and discuss how strategies were used to address different steps in the multi-step problem.