Lesson 3

The purpose of this warm-up is to elicit the idea that organizing objects helps us count them, which will be useful when students count collections of up to 20 objects in a later activity. While students may notice and wonder many things about the cubes, the number of connecting cubes is the important discussion point.

• Create a pile of 18 connecting cubes to display.

• Groups of 2
• Display a pile of 18 connecting cubes or the image.
• “¿Qué observan? ¿Qué se preguntan?” // “What do you notice? What do you wonder?”
• 1 minute: quiet think time

• “Discutan con su pareja lo que pensaron” // “Discuss your thinking with your partner.”
• 1 minute: partner discussion
• Share and record responses.

• “¿Cuántos cubos hay?” // “How many cubes are there?” (A lot. We can’t see all of the cubes, so we can’t count them.)

The purpose of this activity is for students to count their collection in a way that makes sense to them and notice that the number of objects stays the same when a collection is counted multiple times (MP8). Students are provided with 10-frames and counting mats to help them organize their collections. Students use appropriate tools strategically as they choose which tools help them count their collections (MP5).

• Each student needs a collection of 11–20 objects.

• Groups of 2
• Give each student a collection of objects and access to 10-frames and a counting mat.
• “¿Cuántos objetos hay en su colección?” // “How many objects are in your collection?”

• 3 minutes: independent work time
• “Cuéntenle a su pareja cuántos objetos hay en su colección” // “Tell your partner how many objects are in your collection.”
• 30 seconds: partner discussion
• “Intercambien colecciones con su pareja. ¿Están de acuerdo con su pareja en cuántos objetos hay en la colección?” // “Switch collections with your partner. Do you agree with your partner about how many objects are in the collection?”
• 3 minutes: independent work time

If students count each object more than once or do not count some of the objects, consider asking:

• “¿Cuántos objetos tienes? ¿Cómo lo sabes?” // “How many objects do you have? How do you know?” 
• Display the counting mat or the 10-frame and ask “¿Cómo puedes usar este tablero para asegurarte de contar cada objeto?” // “How can you use this mat to help you make sure that you count each object?”

• “Muéstrenle a su pareja cómo contaron y cuéntenle cuántos objetos hay en su nueva colección. ¿Ustedes y su pareja contaron la colección de la misma forma? ¿Estuvieron de acuerdo en cuántos objetos hay en la colección?” // “Show your partner how you counted and tell your partner how many objects are in your new collection. Did you and your partner count the collection the same way? Did you agree about how many objects are in the collection?”
• “Podemos contar los objetos de forma diferente que nuestra pareja, pero siempre debemos obtener el mismo número si contamos cada objeto una vez” // “We might count the objects differently than our partner, but we should get the same number if we count every object one time.”

The purpose of this activity is for students to notice and discuss that counting the same collection should yield the same result each time. Students may benefit from the opportunity to count the displayed collection of objects at the beginning of the activity, before discussing how Clare, Andre, and Noah counted. When students show different ways to count the cubes accurately they attend to precision in organizing and counting (MP6).

• Create a pile of 16 connecting cubes to display.

• Groups of 2
• Display a pile of 16 cubes.
• “Clare, Andre y Noah contaron estos cubos. Clare dice que hay 15 cubos. Andre dice que hay 16 cubos. Noah dice que hay 17 cubos. ¿Pueden todos tener la razón?” // “Clare, Andre, and Noah all counted these cubes. Clare says there are 15 cubes. Andre says there are 16 cubes. Noah says there are 17 cubes. Can they all be right?” (No, they all got different numbers.)
• 30 seconds: quiet think time
• Share responses.

• “¿Por qué razón podrían haber obtenido respuestas diferentes?” // “Why might they have gotten different answers?“
• 1 minute: quiet think time
• 1 minute: partner discussion
• Share responses.

• Select a student to figure out how many cubes there are.
• “¿Hay otra forma en la que podamos contar los cubos?” // “Is there another way that we can count the cubes?”
• Select a student to figure out how many cubes there are in another way.
• “¿En qué se parecen las formas en las que ______ y _____ contaron los cubos? ¿En qué son diferentes?” // “What is the same about how _____ and _____ counted the cubes? What is different?” (They both counted all of the cubes 1 time. They both counted 16 cubes. _____ put them in a line. _____ used a counting mat.)
• “Hay 16 cubos” // “There are 16 cubes.”
• Write or display the number 16.

The purpose of this activity is for students to learn stage 1 of the Find the Pair center. Students develop fluency with addition and subtraction within 5 as they find the number that makes 5 when added to a given number. Each student draws a hand of 5 cards. Students take turns asking their partner for a card that goes with one of their cards to make 5. When students receive a match, they write an expression. Students draw a new card when they do not receive a match. Students may use math tools such as 5-frames or draw a picture to make 5.

After they participate in the center, students choose from any stage of previously introduced centers.

• Number Race
• Subtraction Towers
• 5-frames

• Before playing, remove the cards that show numbers greater than 5.
  • Number Race, Stages 1 and 2
  • Subtraction Towers, Stage 1
  • 5-frames, Stages 1 and 2

• Groups of 2
• Give each student a set of cards, a recording sheet, and access to two-color counters, 5-frames, and 10-frames. 
• “Vamos a conocer un centro llamado ‘Encuentra la pareja’” // “We’re going to learn a center called Find the Pair.”
• “Pongan sus tarjetas en un montón en la mitad de la mesa. Su pareja y ustedes tomarán 5 tarjetas cada uno. No le muestren sus tarjetas a su pareja” // “Put your cards in a pile in the middle of the table. You and your partner will both draw 5 cards. Keep your cards hidden from your partner.” 
• Demonstrate drawing 5 cards. Invite a student to act as the partner and draw 5 cards. 
• “Voy a mirar mis tarjetas. Debo escoger 1 tarjeta y descifrar cuál número necesito para formar 5 con la tarjeta” // “I am going to look at my cards. I need to choose 1 card and figure out which number I need to make 5 with the card.”
• Display a card with the number 4.
• “Mi tarjeta dice 4. ¿Qué tarjeta necesito que vaya con ella para formar 5?” // “My card says 4. What card do I need to go with it to make 5?” (1) 
• “Necesito una tarjeta de 1. Voy a preguntarle a mi pareja si tiene una tarjeta de 1” // “I need a 1 card. I’m going to ask my partner if they have a 1 card.”
• “Si mi pareja tiene una tarjeta de 1, me la entregará. Yo voy a poner la tarjeta de 4 y la tarjeta de 1 como una pareja y voy a anotar una expresión” // “If my partner has a 1 card, they will give it to me. I will put the 4 card and 1 card down as a match and write an expression.”
• “Si tengo una tarjeta de 4 y una tarjeta de 1, ¿qué expresión debería anotar?” // “If I have a 4 card and a 1 card, what expression should I write?” (\(4 + 1\) or \(1 + 4\))
• “Si mi pareja no tiene la tarjeta que le pedí, voy a tomar 1 tarjeta más de la mitad de la mesa. Vamos a seguir jugando hasta que no nos queden más tarjetas” // “If my partner doesn’t have the card that I asked for, I draw 1 more card from the middle. We will keep playing until we run out of cards.” 
• Invite students to play one game with their partners and answer any questions about the rules of the game. 
• “Por turnos, jueguen con su pareja” // “Take turns playing with your partner.” 

• 8 minutes: partner work time
• “Ahora pueden escoger otro centro que les gustaría jugar. También pueden seguir jugando ‘Encuentra la pareja’” // “Now you can choose another center that you would like to do. You can also choose to continue playing Find the Pair.”
• Display the student page with center choices. 
• Invite students to work at the center of their choice. 
• 10 minutes: center work time

• “Mientras jugaban ‘Encuentra la pareja’, ¿cómo descifraron qué número necesitaban para formar 5?” // “As you played Find the Pair, how did you figure out what number you needed to make 5?”