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The purpose of this Number Talk is to elicit strategies and understandings students have for subtracting within 1,000, particularly with expressions that have the same difference. These understandings help students develop fluency for subtracting within 1,000. Consider drawing number lines as students share their strategies to emphasize that the difference of the two numbers in each expression is not changing.
Encuentra mentalmente el valor de cada expresión.
Card Sort All About Insects Cards, Spanish
The purpose of this activity is for students to determine whether a situation is about an unknown number of groups or an unknown number of objects in each group. After sorting the situations, students write a division expression to represent each situation. The fact that the structure of the expressions is the same for representing an unknown number of groups or an unknown number of objects in each group further emphasizes that division expressions can be interpreted two ways.
As students discuss and justify their decisions, they share a mathematical claim and the thinking behind it (MP3). Encourage students to describe how they would start to solve the problem to help make it clear what is unknown in the situation.
Tu profesor te va a dar un grupo de tarjetas que muestran situaciones.
Clasifica las tarjetas en 2 categorías que tengan sentido para ti. Prepárate para explicar el significado de tus categorías.
In this activity, students consolidate their understanding of the types of division situations and their representations to solve division problems.
During the Activity Synthesis, arrange and display students‘ posters by type, as sorted in the previous activity.
This activity uses MLR7 Compare and Connect. Advances: representing, conversing.
MLR7 Compare and Connect
Tu profesor les va a asignar un problema.
Haz una presentación visual que muestre cómo pensaste y que muestre tu solución al problema.
“En las últimas lecciones hemos aprendido sobre la división. Representamos y resolvimos dos tipos de problemas de división. Resumamos juntos lo que sabemos sobre la división” // “Over the last few lessons we have been learning about division. We represented and solved two kinds of division problems. Let’s summarize what we know about division together.”
“¿Qué ideas principales hemos aprendido sobre la división?” // “What are some of the big ideas we have learned about division?” (Division is about equal groups. We can find how many groups or how many there are in each group. We can represent division with drawings. We can write division expressions to represent division situations.)
Aprendimos que la división es encontrar el número de grupos o encontrar el tamaño de cada grupo cuando ponemos objetos en grupos de igual tamaño. Representamos situaciones de división con dibujos y expresiones, y resolvimos problemas de división.
“¿Cuántos grupos?”
“¿Cuántos hay en cada grupo?”
Han tiene 12 lápices para poner en cajas. Quiere poner 2 lápices en cada caja. ¿Cuántas cajas necesita Han?
Elena tiene 12 lápices para poner en 2 cajas. Quiere poner el mismo número de lápices en cada caja. ¿Cuántos lápices debe poner Elena en cada caja?
Ambas expresiones tienen el mismo divisor, 2. Pero el 2 tiene un significado distinto en cada situación.