The purpose of this Number Talk is to elicit strategies and understandings students have for adding on to 10. These understandings help students develop fluency and will be helpful later in this lesson when students write equivalent expressions.
Launch
Display one expression.
“Hagan una señal cuando tengan una respuesta y puedan explicar cómo la obtuvieron” // “Give me a signal when you have an answer and can explain how you got it.”
1 minute: quiet think time
Activity
Record answers and strategies.
Keep expressions and work displayed.
Repeat with each expression.
Encuentra mentalmente el valor de cada expresión.
Student Response
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Advancing Student Thinking
Activity Synthesis
“¿Por qué algunas expresiones tienen el mismo valor?” // “Why do some of the expressions have the same value?”
Activity 1
Standards Alignment
Building On
Addressing
1.OA.B.3
Apply properties of operations as strategies to add and subtract.Students need not use formal terms for these properties.Examples: If is known, then is also known. (Commutative property of addition.) To add , the second two numbers can be added to make a ten, so . (Associative property of addition.)
The purpose of this activity is for students to match expressions with three addends to the expression with the same value. This activity sets the groundwork for the next activity in which students make sense of addition equations with expressions on both sides of the equal sign.
MLR2 Collect and Display. Circulate, listen for, and collect the language students use as they work with partners. On a visible display, record words and phrases such as: “equivalente”, “expresión”, “el mismo”, “diferente” y “suma” // “equivalent,” “expression,” “the same,” “different,” and “sum.” Invite students to borrow language from the display as needed, and update it throughout the lesson. Advances: Conversing, Speaking
Representation: Develop Language and Symbols. Synthesis: Make connections between representations visible. Ask students to identify the correspondences between concrete representations (10-frames or connecting cubes) and expressions. Supports accessibility for: Conceptual Processing, Visual-Spatial Processing
Launch
Groups of 2
Give students access to double 10-frames and connecting cubes or two-color counters.
Activity
Read the Task Statement.
8 minutes: partner work time
Une con una línea las expresiones que tengan el mismo valor.
expresiones que tienen 3 números
expresiones de tipo
Si te queda tiempo: escribe otra expresión que tenga 3 números. 2 de los números deben formar 10.
Pídele a tu pareja que piense en la expresión de tipo que le corresponde.
Activity Synthesis
“¿Cómo supieron cuáles expresiones tienen el mismo valor?” // “How did you know which expressions have the same value?” (I looked for ways to make 10 and the amount left to add.)
“¿Qué patrones observaron?” // “What patterns did you notice?” (They are all teen numbers. They are all 10 + facts.)
Activity 2
Standards Alignment
Building On
Addressing
1.OA.B.3
Apply properties of operations as strategies to add and subtract.Students need not use formal terms for these properties.Examples: If is known, then is also known. (Commutative property of addition.) To add , the second two numbers can be added to make a ten, so . (Associative property of addition.)
The purpose of this activity is for students to determine whether equations with an expression on each side of the equal sign are true. Each equation has an expression with three addends on one side and a 10 +n expression on the other. Students do not need to find the value of each expression in order to determine if the equation is true, but some students may do so. In this activity, students have an opportunity to look for and make use of structure (MP7) because they apply the associative property and pattern to determine whether equations are true.
Launch
Groups of 2
Give students access to double 10-frames and connecting cubes or two-color counters.
Activity
Read the Task Statement.
4 minutes: independent work time
3 minutes: partner discussion
Monitor for a student who uses 10-frames and counters or drawings to show as and a student who uses reasoning that and .
Activity Synthesis
Invite previously identified students to share.
“¿Este razonamiento demuestra que la ecuación es verdadera? ¿Por qué sí o por qué no?” // “Does their reasoning prove whether the equation is true? Why or why not?” (Yes, we can see that it is on the 10-frame. Yes, we see that is 10, and then there are 8 left. That is the same as .)
Activity 3
Standards Alignment
Building On
Addressing
1.OA.B.3
Apply properties of operations as strategies to add and subtract.Students need not use formal terms for these properties.Examples: If is known, then is also known. (Commutative property of addition.) To add , the second two numbers can be added to make a ten, so . (Associative property of addition.)
The purpose of this activity is for students to write a expression that is equivalent to a given expression. Each expression given has three addends, two of which make a ten.
Launch
Groups of 2
Give students access to double 10-frames and connecting cubes or two-color counters.
“Ahora van a escribir expresiones del tipo ‘10 más un número’ y que tengan el mismo valor que las expresiones dadas” // “Now you will write a 10 plus a number expression with the same value as each of the given expressions.”
Activity
5 minutes: independent work time
3 minutes: partner discussion
Para cada expresión, escribe una expresión del tipo que tenga el mismo valor.
Si te queda tiempo, escribe todas las expresiones que puedas que tengan 3 números y que tengan el mismo valor que .
Activity Synthesis
Display each expression.
“Para que sea más fácil sumar tres números, podemos reescribir cada expresión como una expresión del tipo ‘10 más otro número’” // “In order to make adding three numbers easier, we can rewrite each expression as a 10 plus another number expression.”
Invite students to say the value of each expression together.
Lesson Synthesis
Give students access to double 10-frames and connecting cubes or two-color counters.
Display .
“Hoy trabajamos con expresiones de suma de tres números y expresiones en las que le sumamos un número a 10. ¿Esta ecuación es verdadera o falsa? ¿Cómo lo saben?” // “Today we worked with expressions with adding three numbers and expressions with adding a number to 10. Is this equation true or false? How do you know?” (True, because , and , .)
If needed, “¿Alguien decidió si es verdadera o falsa sin sumar todos los números? ¿Cómo?” // “Did anyone determine whether it is true or false without adding all the numbers? How?” (Yes, both sides have a 6, so I looked to see if the other numbers made 10. and , so both sides of the equation are equal to .)
Standards Alignment
Building On
Addressing
1.OA.B.3
Apply properties of operations as strategies to add and subtract.Students need not use formal terms for these properties.Examples: If is known, then is also known. (Commutative property of addition.) To add , the second two numbers can be added to make a ten, so . (Associative property of addition.)
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., ); decomposing a number leading to a ten (e.g., ); using the relationship between addition and subtraction (e.g., knowing that , one knows ); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent ).
If students find the value of each three-addend expression, rather than making a ten first, consider asking:
“¿Puedes explicar cómo sabes que estas expresiones corresponden?” // “Can you explain how you know these expressions match?”
“¿Cómo podemos usar los números de esta expresión para formar 10? Después de formar 10, ¿qué número falta sumar? ¿Cuál expresión le corresponde?” // “How can we use the numbers in this expression to make 10? After we make 10, what number is left to add? Which expression does that match?”
En cada caso, decide si la ecuación es verdadera o falsa.
Prepárate para explicar cómo pensaste.
Si te queda tiempo:
Convierte las ecuaciones falsas en ecuaciones verdaderas.
Escribe 1 ecuación que sea verdadera y 1 que sea falsa.
Intercámbialas con tu compañero.
Student Response
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Advancing Student Thinking
Student Response
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Advancing Student Thinking
1.OA.C.6
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., ); decomposing a number leading to a ten (e.g., ); using the relationship between addition and subtraction (e.g., knowing that , one knows ); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent ).
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., ); decomposing a number leading to a ten (e.g., ); using the relationship between addition and subtraction (e.g., knowing that , one knows ); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent ).
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? , , , .
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., ); decomposing a number leading to a ten (e.g., ); using the relationship between addition and subtraction (e.g., knowing that , one knows ); and creating equivalent but easier or known sums (e.g., adding by creating the known equivalent ).