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The purpose of this Number Talk is to elicit strategies and understandings students have for adding by place and composing a ten mentally. These understandings help students develop fluency and will be helpful later in this lesson when students describe base-ten representations by place and use the fewest number of base-ten blocks to represent a number.
Encuentra mentalmente el valor de cada expresión.
In this activity, students sort base-ten blocks and record the total number of blocks they have by the unit each block represents. Students work together to look for ways to compose larger units from smaller units in order to represent the same value with the fewest number of blocks (MP7). They represent composing a hundred by exchanging 10 ten blocks for a hundred block and represent composing a ten by exchanging 10 one blocks for a ten block. In the synthesis, students compare different ways that groups represent the total value which may include representing the value as a three-digit number.
This activity uses MLR7 Compare and Connect. Advances: representing, conversing
MLR7 Compare and Connect
Clasifiquen los bloques.
Tenemos _________ centenas.
Tenemos _________ decenas.
Tenemos _________ unidades.
Representen el mismo valor total. Usen el menor número posible de bloques.
Tenemos _________ centenas.
Tenemos _________ decenas.
Tenemos _________ unidades.
In this activity, students build on their work with base-ten blocks in previous activities to use base-ten diagrams to represent a value using the fewest number of each unit possible. They first interpret images of students’ representations of a number using base-ten blocks. When representing the same value, students may choose to draw the original representation and show composing units by circling groups of 10 tens or 10 ones. Others may choose other methods, such as circling or labeling the images to show ways to compose a larger unit or by using what they have learned about patterns in units from previous lessons. In the synthesis, students connect the 3 digits in a three-digit numeral to their representations (MP7).
Los bloques de Mai
Mai tiene ______ centenas _____ decenas _____ unidades.
¿Cuál es el valor de los bloques de Mai?
Los bloques de Diego
Diego tiene ______ centenas _____ decenas _____ unidades.
“Hoy representaron números mayores que 100 usando bloques en base diez, diagramas en base diez, números y palabras” // “Today you represented numbers that were greater than 100 using base-ten blocks, base-ten diagrams, numbers, and words.”
“También vieron cómo pueden escribir un número de tres dígitos para representar la cantidad de centenas, decenas y unidades” // “You also saw how you can write a three-digit number to represent the amount of hundreds, tens, and ones.”
Display 324.
“¿De qué manera representarían este número usando bloques en base diez o un diagrama en base diez? Expliquen cómo lo saben” // “How would you represent this number with base-ten blocks or a base-ten diagram? Explain how you know.” (I’d draw 3 hundreds, 2 tens, and 4 ones. The first digit shows how many hundreds, the second digit shows how many tens, and the last digit shows how many ones.)