The purpose of this Number Talk is to elicit strategies and understandings students have for adding 2 or 3 more. These understandings help students develop fluency and will be helpful later in this lesson when students count on to add.
Students have an opportunity to notice and make use of structure (MP7). They may see patterns in the structure of the expressions by noticing that when an addend changes by 1 the sum changes by 1.
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 strategy.
Keep expressions and work displayed.
Repeat with each expression.
Student Task Statement
Encuentra mentalmente el valor de cada expresión.
Student Response
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Advancing Student Thinking
Activity Synthesis
¿Alguien pensó en el problema de otra forma?” // “Did anyone approach the problem in a different way?”
Activity 1
15 mins
Más "Revuelve y saca"
Standards Alignment
Building On
Addressing
1.OA.A.1
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.See Glossary, Table 1.
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 solve Put Together, Total Unknown story problems through a context they are familiar with—the center game Shake and Spill. To launch the lesson, the teacher plays a round of the game with students and reminds them to draw a box around the number in the equation that answers the question.
As students find sums, they relate addition to counting on. They may also apply what they know about the commutative property. Some of the story problems have the smaller addend first to encourage students to consider using this property (MP7). Students should make sure that the answer to each question is clear in their representations.
In the Activity Synthesis, use two-color counters as well as students’ representations to compare the two counting on methods.
MLR6 Three Reads. Keep books or devices closed. To launch this activity, display only the problem stem, without revealing the question. “Vamos a leer este problema-historia tres veces” // “We are going to read this story problem three times.”
After the 1st Read: “Díganle a su pareja lo que ocurrió en la historia” // “Tell your partner what happened in the story.”
After the 2nd Read: “¿Cuáles son todas las cosas de esta historia que podemos contar?” // “What are all the things we can count in this story?” Reveal the question.
After the 3rd Read: “¿De qué formas diferentes podemos resolver este problema?” // “What are different ways we can solve this problem?”
Advances: Reading, Representing
Launch
Groups of 2
Give students access to 10-frames and two-color counters
“Juguemos juntos la primera ronda de ‘Revuelve y saca’” // “Let’s play the first round of Shake and Spill together.”
Demonstrate Shake and Spill.
“¿Qué ecuación de suma puedo escribir para representar el número total de fichas?” // “What addition equation can I write to represent the total number of counters?”
30 seconds: quiet think time
Record responses.
“¿Qué número en la ecuación representa el número total de fichas?” // “What number in the equation represents the total number of counters?”
Draw a box around the total in the equation.
Activity
Read each problem.
6 minutes: independent work time
“Compartan con su pareja cómo pensaron” // “Share your thinking with your partner.”
4 minutes: partner discussion
Monitor for students who find the sum of 3 and 6 by:
Counting all.
Starting at 3 and counting on 6.
Starting at 6 and counting on 3.
Student Task Statement
Algunos amigos juegan “Revuelve y saca“.
Priya saca 7 fichas rojas y 2 fichas amarillas.
¿Cuántas fichas sacó en total?
Muestra cómo pensaste. Usa dibujos, números o palabras.
Ecuación:
Tyler saca 5 fichas rojas y 3 fichas amarillas.
¿Cuántas fichas sacó en total?
Muestra cómo pensaste. Usa dibujos, números o palabras.
Ecuación:
Clare saca 2 fichas rojas y 8 fichas amarillas.
¿Cuántas fichas sacó en total?
Muestra cómo pensaste. Usa dibujos, números o palabras.
Ecuación:
Han saca 3 fichas rojas y 6 fichas amarillas.
¿Cuántas fichas sacó en total?
Muestra cómo pensaste. Usa dibujos, números o palabras.
Ecuación:
Activity Synthesis
Invite previously identified students to share in the sequence shown in the list.
“¿En qué se parecen estos métodos? ¿En qué son diferentes?” // “How are these methods alike? How are they different?” (They all add 3 and 6 and get 9. They all use counting to get the answer. The amounts counted are different. The first one counted all of the counters, the second counted 6 counters, and the third counted 3 counters.)
Activity 2
10 mins
¿Los dos son correctos?
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 analyze representations of the work of two students who counted on. Each student chose a different addend to count on from, which illustrates the commutative property. Methods are represented, and students are asked to explain why both methods are correct using precise mathematical language (MP3, MP6).
Launch
Groups of 2
Give students access to two-color counters.
Activity
Read the Task Statement.
2 minutes: quiet think time
“Discutan con su pareja cómo pensaron” // “Discuss your thinking with your partner.”
3 minutes: partner discussion
Student Task Statement
Kiran y Clare encuentran el valor de .
Kiran cuenta desde 2.
Clare cuenta desde 7.
¿Por qué los dos métodos son correctos?
Muestra cómo pensaste. Usa dibujos, números o palabras.
Student Response
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Advancing Student Thinking
If students only refer to the solution of 9, consider asking:
“¿Cómo saben que los dos métodos son correctos?” // “How do you know that both methods are correct?”
“¿Cómo podemos usar las mismas 9 fichas para pasar del primer método al segundo método?” // “How can we use the same 9 counters to move from the first method to the second?”
Activity Synthesis
Invite 2–3 groups to share their thinking.
“Kiran y Clare empezaron con números diferentes, pero obtuvieron el mismo valor. Con tal de que tengamos los mismos 2 números, podemos sumarlos en cualquier orden. // “Kiran and Clare started with different numbers, but they both got the same value. As long as we add the same 2 numbers, we can add them in either order.”
“¿Cuál método les gusta más? ¿Por qué?” // “Which method do you like best? Why?” (I like adding up from the larger number since it’s faster than adding up from the smaller number.)
Activity 3
10 mins
Practiquemos sumas hasta 10
Standards Alignment
Building On
Addressing
1.OA.C.5
Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
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 ).
The purpose of this activity is for students to find the value of sums within 10. Students may apply what they learned about the commutative property and counting on. They may count on for certain equations, such as or since they can keep track easily, but count all for others. In the Lesson Synthesis, students return to the addition expression cards they used in a previous lesson.
Action and Expression: Internalize Executive Functions. Invite students to plan a method, including the tools they will use, for finding the sum. If time allows, invite students to share their plan with a partner before they begin. Supports accessibility for: Organization, Attention
Launch
Groups of 2
Give students access to 10-frames and connecting cubes or two-color counters.
Activity
Read the Task Statement.
5 minutes: independent work time
“Discutan con su pareja cómo pensaron” // “Discuss your thinking with your partner.”
3 minutes: partner discussion
Monitor for the different ways students add, including counting on from the first addend and counting on from the greater addend.
Student Task Statement
Encuentra el valor de cada suma.
Activity Synthesis
Invite previously selected students to share.
Lesson Synthesis
“Hoy vimos diferentes maneras de sumar números. Mai está practicando sus sumas hasta 10. Tiene en su montón de ‘ya me la sé’ y en su montón de ‘todavía no’. ¿Qué le dirían a Mai?” // “Today we saw different ways we can add numbers. Mai is practicing her sums within 10. She has in her ‘got it’ pile and in her ‘not yet’ pile. What would you tell Mai?” (If you know , you also know . You can change the order of the numbers you add and get the same value.)
Give students access to their addition cards sorted into ‘got it’ and ‘not yet.’
“Revisen sus tarjetas de ‘todavía no’. Si ya se saben bien la suma, muévanla al montón de ‘ya me la sé’. Si todavía tienen que practicar una suma, déjenla en su montón de ‘todavía no’” // “Look through your ‘not yet’ cards. If you just know the sum, move it to your ‘got it’ pile. If you still need practice with a sum, keep it in your ‘not yet’ pile.”
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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 ).
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations , , .