Lesson 1.2 Count and Write 1 and 2 Be sure that children hear each other’s answers to the question so that the point is sufficiently emphasized. Common Core Standard CC.K.CC.3 Write numbers from 0 to 20. Represent a number of objects with a Guide them in tracing the row of ones. written numeral 0–20 (with 0 representing a count of no objects). • To write each 1, start at the top. Trace Also CC.K.CC.4a, CC.K.CC.4b, CC.K.CC.4c, CC.K.CC.5 straight down to write a 1. Lesson Objective Represent 1 and 2 objects with Help children read the number word for one. number names and written numerals. Then point to the letters and have children Essential Question How can you count and write 1 spell with you: o-n-e. Have them trace the and 2 with words and numbers? letters. Repeat the process for the number 2. • Trace the 2 starting with the dot at the top. Then curve down and trace straight across. Have children read the number word for Access Prior Knowledge Discuss with two. Then point to the letters and have them children the idea that people write to share spell with you: t-w-o. Have children trace the information. letters. • What things can you write? What have you • “Write” in the air and form numbers like seen others write? Possible answers: names, you would if you could write a grocery list. numbers, lists, letters, or “write” on the computer Lead children in using their fingers to form • When would you write something instead a 1 and a 2 in the air. of talking? Possible answers: to send a letter, give • Suppose Grandma is buying one box of directions, make a grocery list crayons. Point to the word one on your • When would you write numbers? Possible paper. Grandma wants to buy two glue answers: on an envelope for an address, on a price tag, sticks. Point to the word two on your paon a hopscotch game per. Check visually. Reread the problem. Have children tell the Animated GO Math Models ways 1 and 2 are represented on the page. Online and • What else could Grandma add to her MATHEMATICAL shopping list using the number one? Accept Listen and Draw PRACTICES all reasonable responses. Write children’s Read the problem and tell children that they responses on the board using the numeral 1. will learn to write the numbers for 1 and 2. Point to one of the new items on the shopping Jody’s grandma writes a shopping list. She list. wants to buy one notebook and two pencils. • How else could we show that Grandma How can you show these numbers? needs one of this? We could write out the word one next to it or draw a picture of one item. Have children count the cubes that are shown for the number 1. Remind children that the • What could Grandma add to her shopping last counting word is the number of objects in list using the number two? Accept all reasonable that set. responses. Write children’s responses on the board using the numeral 2. • What does this cube represent from our problem? the number of notebooks Jody’s grandma Point to one of the new items on the shopping wants to buy list. Point out that any kind of object could have • How else could we show that Grandma been used to represent the number one, not needs two of these? We could write out the word just a connecting cube. two next to it or draw a picture of two items. Emphasize that the same number can be • What is a different object we could have shown in more than one way. Pictures, used to represent the number one? Accept all reasonable responses. numbers, and number words are all ways to show a number. 1 ENGAGE 2 TEACH TALK © Houghton Mifflin Harcourt Publishing Company c Chapter 1 1 K_MNYCETS222069_C01L02TE.indd 1 NYC10 New York City Implementation Guide 01/04/13 9:44 AM Lección 1.2 Nombre Contar y escribir 1 y 2 ESTÁNDARES COMUNES CC.K.CC.3 Pregunta esencial ¿Cómo contamos y escribimos 1 y 2 con palabras y números? Know number names and the count sequence. © Houghton Mifflin Harcourt Publishing Company uno dos INSTRUCCIONES las palabras. Cuenta los cubos. Di cuántos hay. Dibuja los números y Capítulo 1 • Lección 2 Untitled-415 17 K_MNYCSIG277304_C01L02TE.indd 2 Revise el trabajo de los niños. diecisiete 17 5/6/2011 2:21:17 AM 7/13/13 3:02 P New York City Implementation Guide NYC11 COMMON ERRORS COMMON ERRORS 3 PRACTICE c Share and Show • Error Children may have difficulty tracing Guided Practice Help children locate Exercise 1. • How many cubes are shown? 1 • Say the number 1. • Trace it. Remember to start at the top and trace straight down. Now help children find Exercise 2. • How many cubes are shown? 2 Have them trace the twos, saying each number quietly as they write it. Have children find Exercise 3. • How many paint bottles are shown? 1 Write the number. Have children find Exercise 4, count the paintbrushes, and then write the number. • How did you know which number to write? numerals. Example Children write shaky lines and “wander” from dashed models. Springboard to Learning Have children use Numeral Writing Rules (1 and 2) (see eTeacher Resources). Provide practice for them to gain experience. Praise efforts while guiding practice on writing lines. I wrote the number to match the number of paintbrushes that I counted. Use Exercises 3 and 4 for Quick Check. Encourage children to volunteer to share with a partner the way they solved two of the problems. Ask them to talk through each problem by indicating how they used the picture, how they knew what number to write, and how they moved their pencil to write the number. © Houghton Mifflin Harcourt Publishing Company Quick Check Quick Check 3 2 3 1 2 1 Rt I R Rt I If If a child misses Exercises 3 and 4 Then Differentiate Instruction with • RtI Tier 1 Activity, p. 17B • Reteach 1.2 Soar to Success Math 2.01 Chapter 1 3 _MNYCETS222069_C01L02TE.indd 3 NYC12 New York City Implementation Guide 01/04/13 9:44 AM Comparte y muestra Revise el trabajo de los niños. 1 2 INSTRUCCIONES 1–2. Cuenta los cubos. Di el número. Dibuja los números. 3–4. Cuenta y di cuántos hay. Escribe el número. 18 © Houghton Mifflin Harcourt Publishing Company Revise el trabajo de los niños. dieciocho Untitled-415 18 K_MNYCSIG277304_C01L02TE.indd 4 5/6/2011 2:21:18 AM 7/13/13 3:02 P New York City Implementation Guide NYC13 c More Practice Have children point to Exercise 5. • Count to see how many pencil boxes there are. 1 • Write the number. Remind children that the last counting word is the number of objects in the set. Have children point to Exercise 6. • How many glue sticks are there? 2 Write the number. Help children complete Exercises 7 through 10 in the same way. Encourage children to work independently, but offer guidance if necessary. Tell children that when they are counting, they should point to the first picture in the exercise, say the number word softly, and then continue to the next picture, if there is one, and say the next number word. • What word do you say when you start counting something? one • When do you stop counting? when there are no Problem Tell children that you will name familiar things and they can write on their MathBoards the number that shows how many there are. Examples: nose–1, arms–2, eyes–2, legs–2, mouth–1 • How many legs does a dog have? 4 • What are some things you have more than 2 of? Accept all reasonable responses. • How do you know? I count to 2 and there are still more left. Name one of the items children wrote 1 for on their MathBoards. • How could we get 2 of that item? Possible answer: If two children stood next to each other there would be two noses. Have students draw a picture to represent several of the items they counted on their MathBoards. Go Deeper MATHEMATICAL PRACTICES • When counting objects, if the last number you say is two, how many objects are in the set? 2 more left • How do you know what number to write? The last counting number I said tells how many there are. © Houghton Mifflin Harcourt Publishing Company Tell children they can make a mark on each picture as they count it. This will help them make sure they count each object once and that they don’t accidentally count the same object more than once. Chapter 1 K_MNYCETS222069_C01L02TE.indd 5 NYC14 New York City Implementation Guide 5 4/5/13 10:05 AM © Houghton Mifflin Harcourt Publishing Company © Houghton Mifflin Harcourt Publishing Company Nombre INSTRUCCIONES el número. 2 2 1 1 2 5–10. Cuenta y di cuántos hay. Luego escribe Capítulo 1 • Lección 2 Untitled-415 19 K_MNYCSIG277304_C01L02TE.indd 6 1 diecinueve 19 5/6/2011 2:21:20 A 7/13/13 3:02 New York City Implementation Guide NYC15 c Problem Solving MATHEMATICAL PRACTICES Tell children that they will draw to show what they know about the numbers 1 and 2. They may draw about the numbers any way they wish. • Write the number on the writing lines next to your pictures. • Be sure to show each number. When they have finished, have children tell partners about their work. Then let as many children as possible describe their work to the class. 4 SUMMARIZE MATHEMATICAL PRACTICES Essential Question How can you count and write 1 and 2 with words and numbers? I can draw pictures of one © Houghton Mifflin Harcourt Publishing Company heart and two hearts. I can write the numbers 1 and 2 under the pictures. I can also use letters to spell the number words. Chapter 1 K_MNYCETS222069_C01L02TE.indd 7 NYC16 New York City Implementation Guide 7 01/04/13 9:44 AM MÉTODOS MATEMÁTICOS Representar • Razonar • Interpretar RESOLUCIÓN DE PROBLEMAS Revise el trabajo de los niños. INSTRUCCIONES Dibuja para mostrar lo que sabes sobre los números 1 y 2. Escribe el número al lado de cada dibujo. Cuéntale a un amigo sobre tus dibujos. ACTIVIDAD PARA LA CASA • Pida a su niño que escriba el número 1 en una hoja de papel. Luego pídale que busque un objeto que represente ese número. Repita con objetos para el número 2. 20 PRÁCTICA ADICIONAL: Cuaderno de práctica de los estándares, págs. P5–P6 veinte Untitled-415 20 K_MNYCSIG277304_C01L02TE.indd 8 © Houghton Mifflin Harcourt Publishing Company Revise el trabajo de los niños. 5/6/2011 2:21:23 AM 7/13/13 3:02 P New York City Implementation Guide NYC17 Lesson 1.1 Hands On • Model and Count 1 and 2 Common Core Standard CC.K.CC.4a Understand the relationship between numbers and quantities; connect counting to cardinality. When counting objects, say the number names in the standard order, pairing each object with the one and only one number name and each number name with one and only one object. Also CC.K.CC.3, CC.K.CC.4b, CC.K.CC.5 Lesson Objective Model and count 1 and 2 with objects. Essential Question How can you show and count 1 and 2 with objects? Vocabulary one, two, match 1 ENGAGE Access Prior Knowledge Invite children to tell some things they already know about the numbers 1 and 2. • Name something of which you have one. • Name something of which you have two. Discuss the symbols used to represent the quantities for 1 and 2. Then have them move the counter from the purple crayon to the five frame. Have them draw one counter in the five frame. • How many counters do you show in the five frame? 1 • What does the one counter in the five frame stand for? one purple crayon Repeat with the set of two orange crayons. Have children match two counters with two crayons by placing one counter on top of each orange crayon. • How many counters do you use to show two orange crayons? 2 Have them move the counters from each of the orange crayons into the five frame and draw two counters in the five frame. • How many counters do you show in the five frame? 2 • What do the counters in the five frame stand for? 2 orange crayons • How did you use counters to show Carlos’s crayons? I used one counter to show one purple crayon and two counters to show two orange crayons. • How does using objects help you count pictures? You can place one object on each picture. Then you can count how many objects you used. In addition to using counters, make children 2 TEACH and TALK GO Online c Listen and Draw Animated aware that they could use any object to show Math Models how many there are of something. Have them MATHEMATICAL PRACTICES © Houghton Mifflin Harcourt Publishing Company Materials three two-color counters Read the problem. Tell children they will use counters to solve it. Carlos has one purple crayon and two orange crayons. How would you use counters to show each of the crayons Carlos has? Distribute three counters to each child. Ask them to hold up one counter, and then two counters. Guide children to look at the page. Have them match one counter with one crayon by placing one counter on top of the purple crayon at the top of the page. • How many counters do you use to show one purple crayon? 1 place different objects on the crayons in the picture, such as connecting cubes or paper clips. Have them draw the objects they used to represent each number of crayons. Ask them to hold up the number of objects they used to count each set of crayons. Some children may be able to make drawings to represent the quantities of crayons without first placing and manipulating objects. Stress that placing an object on each crayon helps them make sure they are counting each crayon only once. Explain that moving the counters from the drawing to the five frame helps them make sure the same number is shown in both places. Chapter 1 9 K_MNYCETS222069_C01L01TE.indd 9 NYC18 New York City Implementation Guide 4/5/13 10:06 AM MANOS A LA OBRA Nombre Lección 1.1 Hacer un modelo y contar 1 y 2 © Houghton Mifflin Harcourt Publishing Company Pregunta esencial ¿Cómo mostramos y contamos 1 y 2 con objetos? ESTÁNDARES COMUNES CC.K.CC.4.a Count to tell the number of objects. INSTRUCCIONES Pon una ficha en cada objeto del conjunto a medida que los cuentas. Mueve las fichas al cuadro de cinco. Dibuja las fichas. Revise el trabajo de los niños. Capítulo 1 • Lección 1 Untitled-414 13 K_MNYCSIG277304_C01L01TE.indd 10 trece 13 5/6/2011 2:19:43 AM 7/13/13 2:56 P New York City Implementation Guide NYC19 COMMON ERRORS COMMON ERRORS 3 PRACTICE c Share and Show • Error Children may not grasp the Guided Practice Help children locate Exercise 1. Guide them to match one counter with one object. • How many counters did you match? 1 • What number did you write? 1 Trace the number. • Now move the counter into the five frame. Check visually. • How many counters did you draw? 1 Guide children through Exercise 2 in a similar way. Help children see that the number 2 follows the number 1 in counting, and that two objects are one more than one object, and that 2 is one more than 1. Check as children work. Have them tell the number of counters they are working with. Encourage children to volunteer to share with a partner the way they solved one of the problems. Ask them to talk through the problem by indicating where they placed each counter, where they moved each counter, and how they knew what number to write. Use Exercises 3 and 4 for Quick Check. Quick Check Quick Check 3 2 3 1 2 1 relationship between the number word and number of counters. Example Children play with the counters and seem confused when asked to show a number of counters. Springboard to Learning Provide brief individual work, saying the number, pointing to it, helping children show the number of counters, and having them repeat the number. Rt I R Rt I a child misses Exercises 3 and 4 Then Differentiate Instruction with • RtI Tier 1 Activity, p. 13B • Reteach 1.1 Soar to Success Math 1.01 © Houghton Mifflin Harcourt Publishing Company If If Chapter 1 K_MNYCETS222069_C01L01TE.indd 11 NYC20 New York City Implementation Guide 11 01/04/13 9:43 AM Comparte y muestra uno Revise el trabajo de los niños. Revise el trabajo de los niños. INSTRUCCIONES 1–2. Pon una ficha en cada objeto del conjunto a medida que los cuentas. Di cuántas fichas hay. Dibuja el número. Mueve las fichas al cuadro de cinco. Dibuja las fichas. 14 © Houghton Mifflin Harcourt Publishing Company dos catorce Untitled-414 14 K_MNYCSIG277304_C01L01TE.indd 12 5/6/2011 2:19:44 AM 7/13/13 2:56 New York City Implementation Guide NYC21 c More Practice Help children locate Exercise 3. • What number do you see? 1 Count out one counter in the five frame. Trace the number 1. Draw one counter in the five frame. Now help children locate Exercise 4. • What number do you see? 2 Count out two counters in the five frame. Trace the number 2. Draw two counters in the five frame. If children answered Exercises 3 and 4 correctly, assign Exercises 5–6. Encourage children to answer Exercises 5–6 on their own, but offer guidance if needed. Start by asking: • What number do you see? How many counters do you put in the frame to show that number? Draw the counters. This line of questioning will fit any of the problems. Tell children that their drawings of counters do not need to be perfect. Children simply need to make a mark to represent each counter they used to make the number shown. Remind them only to draw one counter in each square of the five frame. this drawing shows one counter. • Which drawing could represent Vera’s crayons? Check that child points to a picture that shows two. Why? Because Vera has two crayons, and this drawing shows two counters. • How can you tell just by looking at your drawings which shows more? The pictures go farther to the right in the five frame if there are more. • What else could you draw in each square besides a counter to show how many crayons Vera and Amy have? Accept all reasonable responses. Have children draw Amy’s crayon next to an exercise that shows one. Have children draw Vera’s crayons next to an exercise that shows two. Go Deeper MATHEMATICAL PRACTICES Have children talk about the numbers 1 and 2. Discuss how one object is one fewer than two objects, and two objects is one more than one object. Have them talk about situations where it might be better to have more of something, and where it might be better to have fewer of something. © Houghton Mifflin Harcourt Publishing Company Problem Children will further explore the numbers 1 and 2. • Amy has one crayon. Vera has two crayons. Who has more crayons? Vera • How many more crayons does Vera have than Amy? one more • Which drawing could represent Amy’s crayon? Check that child points to a picture that shows one. Why? Because Amy has one crayon, and Chapter 1 K_MNYCETS222069_C01L01TE.indd 13 NYC22 New York City Implementation Guide 13 4/5/13 10:07 AM © Houghton Mifflin Harcourt Publishing Company © Houghton Mifflin Harcourt Publishing Company Nombre uno Revise el trabajo de los niños. dos Revise el trabajo de los niños. uno Revise el trabajo de los niños. dos Revise el trabajo de los niños. INSTRUCCIONES 3–6. Di el número. Cuenta esa cantidad de fichas en el cuadro de cinco. Dibuja las fichas. Capítulo 1 • Lección 1 Untitled-414 15 K_MNYCSIG277304_C01L01TE.indd 14 quince 15 5/6/2011 2:19:44 A 7/13/13 2:56 New York City Implementation Guide NYC23 c Problem Solving MATHEMATICAL PRACTICES Let children tell what they see in Exercise 1. Guide them to count the objects in each set and circle the set with two objects. For Exercise 2, have children draw or write to show what they know about the number 1. For Exercise 3, have children draw or write to show what they know about the number 2. Let several children show their work. Prompt children with questions such as: • What did you show here? • What does this writing say? Is this one or two? • Show how to count them. After several children have shared their work, you might let the others talk through their work with partners. 4 SUMMARIZE MATHEMATICAL PRACTICES Essential Question How can you show and count 1 and 2 with objects? I can show 1 with one counter and 2 with © Houghton Mifflin Harcourt Publishing Company 2 counters. Chapter 1 K_MNYCETS222069_C01L01TE.indd 15 NYC24 New York City Implementation Guide 15 01/04/13 9:43 AM MÉTODOS MATEMÁTICOS Representar • Razonar • Interpretar RESOLUCIÓN ÓN DE PROBLEMAS Revise el trabajo de los niños. INSTRUCCIONES 1. Cuenta los objetos de cada conjunto. Encierra en un círculo el conjunto que tenga dos objetos. 2. Dibuja para mostrar lo que sabes sobre el número 1. 3. Dibuja para mostrar lo que sabes sobre el número 2. Dile a un amigo lo que sabes sobre tus dibujos. 16 dieciséis Untitled-414 16 K_MNYCSIG277304_C01L01TE.indd 16 ACTIVIDAD PARA LA CASA • Pida a su niño que muestre un conjunto que tenga uno o dos objetos, como libros o botones. Pídale que señale cada objeto a medida que los cuenta para saber cuántos hay en el conjunto. © Houghton Mifflin Harcourt Publishing Company Revise el trabajo de los niños. PRÁCTICA ADICIONAL: Cuaderno de práctica de los estándares, págs. P3–P4 5/6/2011 2:19:48 AM 7/13/13 2:56 PM New York City Implementation Guide NYC25 Lesson 1.9 Problem Solving • Understand 0 • How many horses are in the pen now? There Common Core Standard CC.K.CC.3 • There is a number that means none. It is the number 0. • So, how can you use counters to model this problem? Possible answer: I have counters, but I do Write numbers from 0 to 20. Represent a number of objects with a written numeral 0–20 (with 0 representing a count of no objects). Also CC.K.CC.4a, CC.K.CC.4b Lesson Objective Solve problems by using the strategy make a model. Essential Question How can you solve problems using the strategy make a model? Vocabulary fewer, more, zero 1 ENGAGE GO iTools Online Materials iTools: Counters Access Prior Knowledge Use iTools to show a set of five counters. • How many counters are in this set? 5 Use counters or iTools to show another set of five counters placed differently. • How many counters are in this set? 5 • What can you tell about the placement of objects? It does not change the number of objects. are none in the pen now. not count any for the pen, because there are no horses in the pen. Point out the 0 at the bottom of the page. Read the word zero. Have children trace a 0 in the air. Then have them trace the 0 on the page. • What does the number 0 mean? none; not any • Why do we need the number 0 if there’s nothing to count? We need a number to represent nothing. Although 0 has no value by itself, it can help make other numbers when it’s in the ones place or the tens place. In addition to using counters, make children aware that they could also solve problems by drawing a picture. Have them draw a tree with 4 apples on it. Then tell the children that the apples fall off the tree one by one. Have children cross out each apple as it falls. Ask them to count the number of apples in the tree that are NOT crossed out. There should be no apples NOT crossed out, so the answer is Animated zero. GO Math Models Online and Some children may be able to solve the MATHEMATICAL problem without using counters or drawing Unlock the Problem PRACTICES a picture. Stress that even if they can get the Materials three two-color counters answer quickly, it is important to know how to Read the problem aloud as children listen. use counters and drawings to check their work as they solve problems. Use counters to model this problem. There are two horses in the pen. The horses leave the pen and go to the field. How many horses are in the pen now? • What was in the pen? horses • Where are the horses now? The horses are in 2 TEACH TALK © Houghton Mifflin Harcourt Publishing Company c the field. Chapter 1 K_MNYCETS222069_C01L09TE.indd 17 NYC26 New York City Implementation Guide 17 4/5/13 10:08 AM RESOLUCIÓN DE PROBLEMAS Nombre Lección 1.9 Resolución de problemas • Comprensión del 0 ESTÁNDARES COMUNES CC.K.CC.3 Pregunta esencial ¿Cómo resolvemos problemas con la estrategia hacer un modelo? Know number names and the count sequence. © Houghton Mifflin Harcourt Publishing Company Revise el trabajo de los niños. cero INSTRUCCIONES Pon fichas para hacer un modelo de este problema. En el corral hay dos caballos. Los caballos salen del corral y se van al campo. ¿Cuántos caballos quedan en el corral? Dibuja el número. Cuéntale a un amigo lo que sabes sobre ese número. Capítulo 1 • Lección 9 Untitled-20 45 K_MNYCSIG277304_C01L09TE.indd 18 cuarenta y cinco 45 4/24/2011 10:58:50 P 7/13/13 3:04 New York City Implementation Guide NYC27 c Try Another Problem Draw children’s attention to the picture of the hooks on the wall in Exercise 1. Explain that they will use counters to model the problem. Tell them to listen to the problem. • Three children each have one backpack on a hook. • How many counters will you place on each hook? 1 How many backpacks are there? 3 Draw counters to show the backpacks. Write the number. Have children find Exercise 2. • Three children each take one backpack. How many backpacks are there now? • What will you do to solve? Take away three counters. • How many backpacks are there now? 0 • Write the number that shows how many backpacks there are now. • How do you know there are zero backpacks now? All of the backpacks were taken. There are no backpacks to count. Encourage children to share with a partner the way they solved one of the problems. Ask them to talk through the problem by indicating which number and counters they started with, what the counters stand for, and what they did to addERRORS on the second number COMMON and get the final answer. COMMON ERRORS Error Children may count the objects removed rather than the ones left. © Houghton Mifflin Harcourt Publishing Company Example In Exercise 2, children count the three counters that are taken away. Springboard to Learning Emphasize that children should be counting the counters left on the hooks. Reread the problem. Have children model as you read. Then ask them to touch each counter still on the hooks. Chapter 1 K_MNYCETS222069_C01L09TE.indd 19 NYC28 New York City Implementation Guide 19 4/5/13 10:08 AM Haz otro problema 0 Revise el trabajo de los niños. INSTRUCCIONES 1. Pon fichas para hacer un modelo de este problema. Tres estudiantes cuelgan su mochila en un gancho cada uno. Dibuja fichas para mostrar las mochilas. ¿Cuántas mochilas hay? Escribe el número. 2. Pon fichas para representar una mochila en cada gancho. Cada uno de los tres estudiantes toma una mochila. ¿Cuántas mochilas quedan ahora? Escribe el número. 46 © Houghton Mifflin Harcourt Publishing Company 3 Revise el trabajo de los niños. cuarenta y seis Untitled-20 46 K_MNYCSIG277304_C01L09TE.indd 20 4/24/2011 10:58:51 PM 7/13/13 3:04 New York City Implementation Guide NYC29 Problem 3 PRACTICE c Share and Show • Guided Practice Read the problems for Exercises 3 and 4 and guide children through the steps as they model the problems with counters. Use Exercises 3 and 4 for Quick Check. Quick Check Quick Check If If Then 3 2 31 2 1 Rt I Rt R I If child misses Exercises 3 and 4 Differentiate Instruction with • RtI Tier 1 Activity, p. 45B • Reteach 1.9 Go Deeper MATHEMATICAL PRACTICES Do you know how many marbles Ryan has? No Explain how you can know who has more if you do not know how many marbles Ryan has. I know that Yolanda has zero, which means she has none. I know that Ryan has some marbles. Since some is more than none, I know that Ryan has more. © Houghton Mifflin Harcourt Publishing Company • How many counters did you use in Exercise 3? 1 • What number did you write? 0 • How many counters did you use in Exercise 4? 1 • What number did you write? 1 Guide children through Exercises 3 and 4 using drawings. In Exercise 3, have them draw a box for Drew and a box for Adam. Have them draw a book for Drew. Point out that since Adam has one less than Drew, they don’t have to draw anything for Adam. Guide them to see that Adam has 0. In Exercise 4, have them draw the problem in a similar way. Help children see since Bradley has 0 pencils and Matt has 1 more, then Matt has 1 pencil. Have them draw Matt’s pencil. Check as children work. If Ryan has some marbles and Yolanda has zero marbles, can you tell who has more? Accept reasonable answers. • When we say Yolanda has zero marbles, how many does she have? none • Can you make a model to solve this problem? yes Encourage students to use counters or drawings to model the problem. If children seem unsure how to solve the problem, guide them to try drawing or using counters for Yolanda’s marbles first. Then, they can use counters or draw to show Ryan’s marbles. Chapter 1 K_MNYCETS222069_C01L09TE.indd 21 NYC30 New York City Implementation Guide 21 4/5/13 10:09 AM Nombre Comparte y muestra © Houghton Mifflin Harcourt Publishing Company © Houghton Mifflin Harcourt Publishing Company Revise el trabajo de los niños. Revise el trabajo de los niños. 0 1 INSTRUCCIONES Pon fichas para representar estos problemas. 3. Drew tiene un libro. Adam tiene un libro menos que Drew. ¿Cuántos libros tiene Adam? Escribe el número. 4. Bradley no tiene lápices. Matt tiene un lápiz más que Bradley. ¿Cuántos lápices tiene Matt? Escribe el número. Capítulo 1 • Lección 9 Untitled-20 47 K_MNYCSIG277304_C01L09TE.indd 22 cuarenta y siete 47 4/24/2011 10:58:55 PM 7/13/13 3:04 New York City Implementation Guide NYC31 c On Your Own Listen to these problems and use your counters to model and solve. Have children find Exercise 1. • Vera has 2 cookies. She eats 1 cookie and gives 1 cookie to her friend. How many cookies does Vera have now? 0 Write the number. Have children find Exercise 2. • Amy has 3 crayons. She gives some away. Now she has no crayons. How many crayons did she give away? 3 Write the number. Guide children to use drawings as an alternative to using counters. Help them see that crossing out a drawing has the same result as removing a counter. You may suggest that children place the completed On Your Own page in their portfolios. 4 SUMMARIZE MATHEMATICAL PRACTICES Essential Question How can you solve problems using the strategy make a model? I can use counters to show © Houghton Mifflin Harcourt Publishing Company the objects in a problem. I can put them in and take them away. Then I count how many are left. Chapter 1 K_MNYCETS222069_C01L09TE.indd 23 NYC32 New York City Implementation Guide 23 01/04/13 9:45 AM Por tu cuenta MÉTODOS MATEMÁTICOS Representar • Razonar • Interpretar 0 INSTRUCCIONES 1. Vera tiene 2 galletas. Se come 1 galleta y le da 1 galleta a su amiga. ¿Cuántas galletas tiene Vera ahora? Escribe el número. 2. Amy tiene 3 crayones. Regala varios y se queda sin crayones. ¿Cuántos crayones regaló? Escribe el número. 48 cuarenta y ocho Untitled-20 48 K_MNYCSIG277304_C01L09TE.indd 24 © Houghton Mifflin Harcourt Publishing Company 3 ACTIVIDAD PARA LA CASA • Pídale al estudiante que ponga un conjunto de hasta cinco macarrones en una taza. Saque algunos macarrones, o todos, y pídale que diga cuántos hay en la taza y que escriba el número. PRÁCTICA ADICIONAL: Cuaderno de práctica de los estándares, págs. P19–P20 4/24/2011 10:59:02 PM 7/13/13 3:04 P New York City Implementation Guide NYC33
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