# 2 Mathematics Curriculum

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1 New York State Common Core 2 Mathematics Curriculum GRADE GRADE 2 MODULE 3 Topic E: Model Numbers Within 1000 with Place Value Disks 2.NBT.A Focus Standard: 2.NBT.A Understand place value. Instructional Days: 5 Coherence Links from: G1 M6 Place Value, Comparison, Addition and Subtraction of Numbers to 100 Links to: G2 M4 Addition and Subtraction of Numbers to 1000 G2 M6 Comparison, Addition and Subtraction with Length and Money In Topic E, students transition to the more abstract number disks that will be used through grade 5 when modeling very large and very small numbers. The foundation has been carefully laid for this moment since kindergarten when students first learned how much a number less than 10 needs to make ten. The students repeat the counting lessons of the bundles and money, but with place value disks (2.NBT.2). The three representations: bundles, money, and disks, each play an important role in the students deep internalization of the meaning of each unit on the place value chart (2.NBT.1). Like bills, disks are traded, renamed or changed for a unit of greater value (2.NBT.2). Finally, students evaluate numbers in unit form with more than 9 ones or tens, for example 3 hundreds 4 tens 15 ones and 2 hundreds 15 tens 5 ones. Topic E also culminates with a problem solving exploration in which students use counting strategies to solve problems involving pencils which happen to come in boxes of 10 (2.NBT.2). Topic E: Model Numbers Within 1000 with Place Value Disks 3.E.1

2 NYS COMMON CORE MATHEMATICS CURRICULUM Topic E 2 3 CONCEPT CHART A Teaching Sequence Towards Mastery of Modeling Numbers Within 1000 with Place Value Disks Concept 1: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks (Lesson 11) Concept 2: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand (Lesson 12) Concept 3: Read and Write Numbers Within 1000 After Modeling with Place Value Disks (Lesson 13) Concept 4: Model Numbers with More Than 9 Ones or 9 Tens; Write in Expanded, Unit, Numeral, and Word Forms (Lesson 14) Concept 5: Explore a Situation with More Than 9 Groups of Ten (Lesson 15) Mathematical Practices Brought to Life Lesson 12 includes an example of MP7, Look for and make use of structure, as students consider numbers relationships to tens and hundreds and the best units to use for counting. In Lesson 13, students articulate the units they are working with, an example of MP.6; Attend to Precision. In Lesson 15, an exploration, the teacher steps into the background and students work to solve a four part problem independently, an example of MP1, Make sense of problems and persevere in solving them. Topic E: Model Numbers Within1000 with Place Value Disks 3.E.2

3 New York State Common Core Lesson 11Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 2 3 Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time (12 minutes) (9 minutes) (25 minutes) (14 minutes) (60 minutes) Fluency Practice (12 minutes) Rekenrek Counting: Numbers in Unit Form 2.NBT.1 Sprint 2.OA.2 (4 minutes) (8 minutes) Rekenrek Counting: Numbers in Unit Form Between 11 and 100 (4 minutes) Materials: (T) Rekenrek T: (Show 11) What number is showing? S: 11! T: The unit form way? S: 1 ten 1 one. T: Good. Keep counting the unit form way. (Move beads to count by ones to 15.) S: 1 ten 2 ones, 1 ten 3 ones, 1 ten 4 ones, 1 ten 5 ones. T: This time say each number 2 ways. First the unit form way, then just as ones. Let s do one together so you know what I mean. (Switch to counting by tens and show 25.) T: Me first. 2 tens 5 ones is 25 ones. Your turn. S: 2 tens 5 ones is 25 ones. T: Good. Say the numbers that I show both ways. (Continue to count by tens to 55.) S: 3 tens 5 ones is 35 ones, 4 tens 5 ones is 45 ones, 5 tens 5 ones is 55 ones. T: This time say the ones first, then the unit form. (Switch to counting by ones to 61.) S: 56 ones is 5 tens 6 ones, 57 ones is 5 tens 7 ones, 58 ones is 5 tens 8 ones, 59 ones is 5 tens 9 ones, 60 ones is 6 tens, 61 ones is 6 tens, 1 one. Continue, adjusting to practice with the switches, numbers, or number form that students find most difficult. Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.3

6 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson hundreds, tens and ones. The bills and the straws we see at home but these blocks and disks are just in math class. I ve never seen them somewhere else. T: Okay, as I am circulating and listening, I hear some very thoughtful insights. T: Here is a question to discuss with your partner. Imagine you are a teacher. How would you use these tools to teach different things to your class? (Write or post each word with a small pictorial for each to support language use.) Bundles Blocks Bills Place Value Disks Activity Worksheet (10 minutes) Materials: (S) Worksheet, base ten materials from the concrete portion of the lesson NOTES ON SCAFFOLDING ELLS AND STUDENTS BELOW GRADE LEVEL: Directions A E: Model the numbers on your place value chart using the fewest number of blocks or disks possible. 1. Partner A use base ten blocks. 2. Partner B use place value disks. 3. Whisper each number in unit and standard form. The activity worksheet lends itself well to pairing up students above grade level with ELLs or students below grade level. In having pairs of students with varying skill levels and/or different levels of English language competence, it will allow students to teach and assist one another when building the models. However, it is important to monitor students to ensure everyone is engaged and participating. Directions F O: Model the numbers on your place value chart using the fewest number of disks possible. 1. Partners A and B alternate using place value disks. 2. Whisper each number in unit and standard form. Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.6

7 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Student Debrief (14 minutes) T: Come to the carpet with your partner and your worksheet. Whisper skip count down by tens from 300 as you transition to the carpet. T: Let s begin with questions F and G. Discuss with your partner how the numbers changed using this sentence frame (posted or written). I changed to. I changed to. The value of my number changed from to. S: (You might hear students catch on quickly.) I changed 2 tens to 2 hundreds. I changed 5 ones to 5 tens. The value of my number changed from 25 to 250. T: (If not, ask a student to model.) Let s have Alejandro use his words for us. S: I changed 2 tens to 2 hundreds. I changed 5 ones to 5 tens. That changed the value of my number from 25 to 250. T: Just as Alejandro demonstrated, tell your partner how the numbers changed from G to H. S: I changed 2 hundreds to 5 hundreds. I changed 5 tens to 2 tens. The value of my number changed from 250 to 520. T: You improved! Keep going through the worksheet s numbers using words to tell about the changes. (Continue for about 4 minutes as you circulate and support.) NOTES ON SCAFFOLDING DIVERSE LEARNERS: ELL students benefit from using materials to scaffold language use as they work in pairs. Use of materials may also be an effective tool for building confidence in those who are unsure of the relationships between numbers. Some students may have difficulty identifying relationships and explaining the unit changes all together. As others move through the worksheet with a partner, you may want to briefly work with a group in guided practice. Demonstrate a change as you think aloud so that the connection between numbers becomes clear to students. Supervise as students complete a second change, and prompt them to use the target oral language as they manipulate materials so that visual, kinesthetic and auditory practices are combined. T: Today we used a new tool, place value disks. Did you enjoy using them? S: Yes!! T: We will keep our bundles of straws and our base ten blocks here in the math materials center. They will always help us remember the value of our units. I will hold up a unit, you show me the correct place value disk. T: (Silently hold up a flat. Students hold up a hundred disk. Hold up a bundle of 10 straws. Students hold up a ten disk. Hold up a one dollar bill, etc.) T: Quietly go back to your seats to complete your Exit Ticket. Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.7

8 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Exit Ticket After the Student Debrief, instruct students to complete the Exit Ticket. A quick review of their work will help you assess the students understanding of the concepts that were presented in the lesson today. Students have two minutes to complete the Exit Ticket. You may read the questions aloud to the students. Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.8

9 Lesson 11 SprintLesson NYS COMMON CORE MATHEMATICS CURRICULUM 2 3 New York State Common Core Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.9

10 Lesson 11 SprintLesson NYS COMMON CORE MATHEMATICS CURRICULUM 2 3 New York State Common Core Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.10

11 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 11 Worksheet 2 3 Name Date 1) Directions: Model the numbers on your place value chart using the fewest number of blocks or disks possible. Partner A use base ten blocks. Partner B use place value disks. Compare the way your numbers look. Whisper the numbers in standard form and unit form. 2) 12 3) 124 4) 104 5) 299 6) 200 2) Take turns using the number disks to model the following numbers using the fewest disks possible. Whisper the numbers in standard form and unit form. a) 25 f) 36 b) 250 l) 360 c) 520 m) 630 d) 502 n) 603 e) 205 o) 306 Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.11

12 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 11 Exit Ticket 2 3 Name Date 1. Tell the value of the following numbers. A. B. A. B. 2. Fill in the sentences below to tell about the change from 36 to 360. I changed to. I changed to. Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.12

13 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 11 Homework 2 3 Name Date Homework: Model the numbers using the fewest disks possible. (Teacher: Students will need a set of paper place value disks to take home.) 1) Use your place value disks to show your parent the following numbers. Whisper the numbers in standard form and unit form (1 hundred 3 tens 4 ones). a) 15 b) 152 c) 102 d) 290 e) 300 2) Use number disks to model the following numbers using the fewest disks possible. Whisper the numbers in standard form and unit form. a) 42 f) 53 b) 420 g) 530 c) 320 h) 520 d) 402 i) 503 e) 442 j) 55 Lesson 11: Count the Total Value of Ones, Tens, and Hundreds with Place Value Disks 3.E.13

14 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand Suggested Lesson Structure Fluency Practice Application Problems Concept Development Student Debrief Total Time (10 minutes) (10 minutes) (30 minutes) (10 minutes) (60 minutes) Fluency Practice (10 minutes) 10 More/10 Less 2.NBT.2 Sprint 2.OA.2 (2 minutes) (8 minutes) 10 More/10 Less (2 minutes) T: I ll say a number. You say the number that is 10 more. Wait for my signal. Ready? T: 50. (Signal after each number.) S: 60! T: 90. S: 100! T: 130. S: 140! Continue with 10 more, then switch to 10 less. Sprint (8 minutes) Materials: (S) Sums to 10 with Ten Numbers Sprint (The directions for administration of Sprints are in the appendix of the G2 M3 Fluency Progressions.) Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand 3.E.14

16 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Concept Development (30 minutes) Concrete (20 minutes) Materials: (S) Place Value Disks (10 ones, 10 tens, 10 hundreds) and place value chart per pair of students Part A: Show the Equivalence of 10 Ones and 1 Ten, 10 Tens and 1 Hundred, 10 Hundreds and 1 Thousand Students work in pairs. T: Show me 10 ones in two vertical columns of 5, the ten frame way, on your place value chart. S: (Students work.) T: What is the value of your 10 ones? S: 10! T: 10 potatoes? S: 10 ones. T: Can you change 10 ones to make a larger unit? S: Yes. T: What unit can you make? S: A ten. T: Change 10 ones for 1 ten. Did you put your 1 ten to the left or to the right? S: To the left! T: Yes, on the place value chart our numbers get bigger to the left! T: Skip count by tens on your place value chart until you have placed 10 tens. T: Can you change to make a larger unit? (Repeat the cycle with 10 tens and 10 hundreds.) T: Just like with our bundles, bills and blocks, disks allow us to see how numbers work. Part B: Count by Ones from 186 to 300 Using Place Value Disks T: Show (silently write 186 on the board) with your place value disks. Make sure you show your units the ten frame way. S: (Students show.) T: Let s count up to 300 by ones. How many ones do I need to make ten? S: 4 ones. T: It is easy to see because of the ten frame format in which you have laid out your disks. Use that structure as you count to 300 please. T: Let me hear you whisper count as you count by ones. S: (Whispering.) 187, 188, 189, 190. T: Pause. Can you change for a larger unit? S: Yes. We can change 10 ones for 1 ten. Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand 3.E.16

19 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson MP.7 S: 3 hundreds. T: With your partner, count without disks from each of the numbers on the worksheet to 900 using ones, tens and hundreds. Remember how we used to count bundles by counting ones to complete a ten, then counting tens to complete a hundred, then counting up by hundreds? Visualize the disks to help you. S: (e.g., 590, 600, 700, 800, 900, etc.) T: Today we focused on changing 10 ones for 1 ten, 10 tens for 1 hundred and 10 hundreds for 1 thousand. Exit Ticket After the Student Debrief, instruct students to complete the Exit Ticket. A quick review of their work will help you assess the students understanding of the concepts that were presented in the lesson today. Students have two minutes to complete the Exit Ticket. You may read the questions aloud to the students. Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand 3.E.19

20 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 12 Sprint 2 3 A = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand 3.E.20

21 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 12 Sprint 2 3 B = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand 3.E.21

22 New York State Common Core Lesson 12 Worksheet 1313 Lesson NYS COMMON CORE MATHEMATICS CURRICULUM 2 3 Name Date Count from 582 to 700 using place value disks. Change for a larger unit when necessary. When you counted from 582 to 700: Did you make a larger unit at Yes, I changed to make: No, I need 590? 1 ten 1 hundred ones. tens. 600? 1 ten 1 hundred ones. tens. 618? 1 ten 1 hundred ones. tens. 640? 1 ten 1 hundred ones. tens. 652? 1 ten 1 hundred ones. tens. 700? 1 ten 1 hundred ones. tens. Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand 3.E.22

23 New York State Common Core Lesson 12 Exit Ticket NYS COMMON CORE MATHEMATICS CURRICULUM 2 3 Name Date 1. Match to show the equivalent value. 10 ones 1 hundred 10 tens 1 thousand 10 hundreds 1 ten 2. Draw a model on the place value chart to show 348. a) How many more ones to make a ten? ones b) How many more tens to make a hundred? tens c) How many more hundreds to make a thousand? hundreds Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand 3.E.23

24 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 12 Homework 2 3 Name Date Count by ones from 368 to 500. Change for a larger unit when necessary. When you counted from 368 to 500: Did you make a larger unit at Yes, I changed to make: No, I need 377? 1 ten 1 hundred ones. tens. 392? 1 ten 1 hundred ones. tens. 400? 1 ten 1 hundred ones. tens. 418? 1 ten 1 hundred ones. tens. 463? 1 ten 1 hundred ones. tens. 470? 1 ten 1 hundred ones. tens. Lesson 12: Change 10 Ones for 1 Ten, 10 Tens for 1 Hundred, and 10 Hundreds for 1 Thousand 3.E.24

25 New York State Common Core Lesson 13 NYS COMMON CORE MATHEMATICS CURRICULUM 2 3 Lesson 13: Read and Write Numbers Within 1000 After Modeling with Place Value Disks Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time (10 minutes) (10 minutes) (30 minutes) (10 minutes) (60 minutes) Fluency Practice (10 minutes) Sprint 2.NBT More/100 Less 2.NBT.2 How Many Tens/How Many Hundreds 2.NBT.1 (8 minutes) (1 minute) (1 minute) Sprint (8 minutes) Materials: (S) Place Value Counting to 100 Sprint (The directions for administration of Sprints are in the appendix of G2 M3 Fluency Progressions) 100 More/100 Less (1 minute) T: I ll say a number. You say the number that is 100 more. Wait for my signal. Ready? T: 70. (Signal after each number.) S: 170! T: 200. S: 300! T: 480. S: 580! T: 900. S: 1000! Continue with 10 more, then switch to 10 less. Lesson 13: Read and Write Numbers Within 1000 After Modeling With Place Value Disks 3.E.25

27 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson S: I drew 4 boxes and wrote 10, 10, 10 in each one. Then I skip counted by tens and got 120. I drew 4 big circles and put 3 ten disks inside each. Then I used doubles, 3 tens + 3 tens is 6 tens, and 6 tens + 6 tens is 12 tens or 120. I drew the same picture as Yesenia, but I skip counted 3, 6, 9, 12. And since they re tens, I said 30, 60, 90, 120. T: Great strategies for solving! So what is the answer to the question? S: There are 120 crackers in the 4 boxes. Concept Development (30 minutes) Pictorial: Drawing Place Value Disks to Represent Numbers (10 minutes) Materials: (T) Plenty of white board space (S) personal white boards and markers T: I m going to draw some pictures of numbers. As I draw, count out loud for me. T: (On a place value chart silently draw pictures of the disks to represent 322.) S: 1 hundred, 2 hundred, 3 hundred, 3 hundred ten, 3 hundred twenty, 3 hundred twenty one, 3 hundred twenty two. T: What is the value of the number on my place value chart? Write the value on your personal board. Show the value to me at the signal. S: 322. T: Excellent. Try another. (Silently draw as students count the value.) S: One hundred, one hundred one, one hundred two, one hundred three. T: What s the total value of this new number? Write it on your personal board. Show the value to me at the signal. S: 103. T: Now we ll try a new process. I m thinking of a number. Don t count while I draw. Wait until I have finished drawing before you whisper its value to your partner. T: (Silently and quickly draw 281 into a place value chart. Be sure to draw the ten frame way as modeled in the worksheet below.) T: Write this new number on your personal board. T: Here is another one. (A possible sequence would be 129, 710, 807, 564.) T: What is it about the way I am drawing that is making it easy for you to tell the value of my number so quickly? Talk to your partner. Lesson 13: Read and Write Numbers Within 1000 After Modeling With Place Value Disks 3.E.27

28 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson S: The labels are easy to read. She draws the hands way, one five then the other. The place value chart makes the units easy to see. T: I hear lots of interesting ideas. We have some great tools here. What tools are we using? S: A place value chart number disks the ten frame T: Now it is your turn to represent some numbers by drawing place value disks. Activity Worksheet (10 minutes) Materials: (S) Worksheet Directions: Draw the numbers indicated using place value disks drawn the ten frame way. Notes on Drawing Place Value Disks Have the students draw the value of the unit first, then circle it. (They like to draw the circle first and then cram the unit s value inside.) Have the students start drawing at the base line of the place value chart, filling their column of 5 (if your number is 5 or greater). Go back down and start from the bottom up to build towards the other five for 6, 7, 8, and 9. NOTES ON SCAFFOLDING DIVERSE LEARNERS: Some students may still need to use number disks to model numbers kinesthetically before drawing them. Allow them to use the number disks for the first problem. Wean them away from this as quickly as possible. For each digit, prompt them to visualize the disks that they will draw, say the number, then make the drawing before going on to the next digit. This helps build confidence by creating manageable steps. Lesson 13: Read and Write Numbers Within 1000 After Modeling With Place Value Disks 3.E.28

31 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13 Sprint 2 3 Write the number. A1 5 tens = 2 6 tens 2 ones = 3 6 tens 3 ones 25 7 tens 4 6 tens 8 ones 26 5 tens 8 ones = 27 5 tens 9 ones = 28 5 tens 2 ones 7 8 tens = 8 9 tens 4 ones tens 5 ones tens 10 9 tens 8 ones 32 7 tens 4 ones = = = = 13 6 tens 35 6 tens + 10 = 14 7 tens 6 ones 36 9 tens 3 ones 15 7 tens 7 ones = 16 7 tens 3 ones = = tens = = 40 8 tens 6 ones 19 9 tens = 20 8 tens 1 one = 21 8 tens 2 ones 43 8 tens 20 ones 22 8 tens 7 ones tens = Lesson 13: Read and Write Numbers Within 1000 After Modeling With Place Value Disks 3.E.31

32 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13 Sprint 2 3 Write the number. B1 6 tens = 2 5 tens 2 ones = 3 5 tens 3 ones 25 8 tens 4 5 tens 8 ones 26 7 tens 8 ones = 27 7 tens 9 ones = 28 7 tens 2 ones = = 8 8 tens 4 ones = 9 8 tens 5 ones tens 10 8 tens 8 ones 32 5 tens 6 ones = = = = 13 7 tens 35 5 tens + 10 = 14 9 tens 6 ones 36 7 tens 4 ones 15 9 tens 7 ones = 16 9 tens 3 ones = = tens = 40 6 tens 8 ones 19 5 tens = 20 6 tens 1 one = 21 6 tens 2 ones 43 9 tens 10 ones 22 6 tens 7 ones tens = Lesson 13: Read and Write Numbers Within 1000 After Modeling With Place Value Disks 3.E.32

33 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13 Worksheet 2 3 Name Date Directions: Draw place value disks to show and read the following numbers. A) 72 B) 427 C) 713 D) 171 E) 187 F) 705 When you have finished, use your whisper voice to read each number out loud in both unit and word form. How much does each number need to change for a ten? For 1 hundred? Lesson 13: Read and Write Numbers Within 1000 After Modeling With Place Value Disks 3.E.33

34 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13 Exit Ticket 2 3 Name 1. Draw place value disks to show the numbers. Date a) 560 b) Draw and label the jumps on the number line to move from 0 to 141. Lesson 13: Read and Write Numbers Within 1000 After Modeling With Place Value Disks 3.E.34

35 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 13 Homework 2 3 Name Date Homework: Draw place value disks to show and read the following numbers. A) 43 B) 430 C) 270 D) 720 E) 702 F) 936 When you have finished, use your whisper voice to read each number out loud in both unit and word form. How much does each number need to change for a ten? For 1 hundred? Lesson 13: Read and Write Numbers Within 1000 After Modeling With Place Value Disks 3.E.35

36 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Lesson 14: Model Numbers With More Than 9 Ones or 9 Tens; Write In Expanded, Unit, Standard, and Word Forms Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time (10 minutes) (12 minutes) (28 minutes) (10 minutes) (60 minutes) Fluency Practice (10 minutes) Sprint 2.OA.2 (8 minutes) Happy Counting Up and Down by Ones Crossing NBT.2 (2 minutes) Sprint (8 minutes) Materials: (S) Review of subtraction in the teens Sprint (The directions for administration of Sprints are in the appendix of the G2 M3 Fluency Progressions.) Happy Counting Up and Down by Ones Crossing 100 (2 minutes) T: Let s play Happy Counting! T: Watch my fingers to know whether to count up or down. A closed hand means stop. (Show signals as you explain.) T: We ll count by ones, starting at 76. Ready? (Teacher rhythmically points up until a change is desired. Show a closed hand then point down. Continue, mixing it up.) S: 76, 77, 78, 79, 80, 81 (switch). 80, 79, 78 (switch). 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92 (switch). 91, 90, 89, 88, 87 (switch). 88, 89, 90, 91, 92, 93, 94, 95 (switch). 94, 93 (switch). 94, 95, 96, 97, 98, 99, 100, 101, 102, 103 (switch). 102, 101, 100, 99, 98 (switch). 99, 100, 101, 102, 103, 104, 105, 106, etc. Lesson 14: Model Numbers with More Than 9 Ones or 9 Tens; Write In Expanded, Unit, Numeral, and Word Forms 3.E.36

38 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson S: (Students show.) T: What disks did you use from greatest to smallest? S: 1 ten and 4 ones. T: Change 1 ten for 10 ones. (Pause as students work.) What disks did you use this time? S: 14 ones. T: Discuss with your partner why this statement is true. (Silently write 1 ten 2 ones = 12 ones.) S: Yes, it is true. It s true because 1 ten is 10 ones and is 12 ones. Yes but my teacher said you can t have more than 9 ones. It s okay to use more. It s just faster to use a ten. T: Show me the number 140 to me with your disks. S: (Students show.) T: What place value disks did you use from greatest to smallest? S: 1 hundred 4 tens. T: Change 1 hundred for 10 tens. (Pause as students work.) What disks did you use this time? S: 14 tens. T: Touch and count by tens to find the total value of your tens. S: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140. T: What is the value of 14 tens? Answer in a full sentence, The value of 14 tens is. S: The value of 14 tens is 140. NOTES ON SCAFFOLDING ELLS: It may be appropriate to allow ELL students to demonstrate why each statement is true, either by drawing or modeling. Alternatively, it may be appropriate to group students with similar home languages since the question is open ended and emphasizes conceptual understanding. T: Discuss why this statement is true with your partner. (Silently write: 1 hundred 4 tens = 14 tens.) T: (After discussion) Now discuss with your partner why this is true. (Silently write: 14 tens = 140 ones.) T: Show me the number 512. T: What disks did you use? S: 5 hundreds 1 ten 2 ones. T: Change 1 ten for 10 ones. (Pause as students work.) What disks did you use? S: 5 hundreds 12 ones. T: Discuss why the statement is true. (Write 5 hundreds 1 ten 2 ones = 5 hundreds 12 ones. Continue with more guided examples if necessary with a small group.) T: First model A and then B. Tell the total value of each number you model. A B 1 hundred 5 tens 2 ones 15 tens 2 ones 11 tens 1 hundred 1 ten 1 ten 3 ones 13 ones 12 tens 9 ones 1 hundred 2 tens 9 ones Lesson 14: Model Numbers with More Than 9 Ones or 9 Tens; Write In Expanded, Unit, Numeral, and Word Forms 3.E.38

39 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Pictorial/Abstract Worksheet (12 minutes) Materials: (S) Worksheet 2 Directions: Represent each number 2 ways on the place value charts. The instructions will tell you what units to use. NOTES ON SCAFFOLDING DIVERSE LEARNERS: Some groups of students may benefit from having the worksheet read aloud, or by working near a partner who can help them to read the directions as they work independently. Student Debrief (10 minutes) T: Bring your worksheet to our Debrief. S: Check your work carefully with a partner. How did you show each number? I will circulate and look at your drawings, too. T: (After two minutes.) Which ones were hard for you? T: (Ask questions, especially with the third page. If no one is forthcoming, choose one you saw many struggled with as you circulated.) T: Let s look at question number 4. What number is written? S: 206. T: Say 206 in expanded form. S: NOTES ON SCAFFOLDING ELLS: The Debrief relies heavily on oral language and automaticity with that language. If your students need support, it may be appropriate to have them answer some questions on their personal boards. Alternatively, ask students to chorally respond at your signal so that you can build wait time in between responses. Lesson 14: Model Numbers with More Than 9 Ones or 9 Tens; Write In Expanded, Unit, Numeral, and Word Forms 3.E.39

40 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson T: is? S: 200 T: 100 is how many tens? S: 10 tens. T: 10 tens + 10 tens is? S: 20 tens. T: 20 tens is? S: 200 T: 206 = 2 hundreds 6 ones = 20 tens 6 ones. Talk to your partner about why this is true. T: We can have more than 9 units. Let s try some. T: The value of 30 tens is? S: 300. T: 18 tens? S: 180. T: Excellent. Exit Ticket After the Student Debrief, instruct students to complete the Exit Ticket. A quick review of their work will help you assess the students understanding of the concepts that were presented in the lesson today. Students have two minutes to complete the Exit Ticket. You may read the questions aloud to the students. Lesson 14: Model Numbers with More Than 9 Ones or 9 Tens; Write In Expanded, Unit, Numeral, and Word Forms 3.E.40

41 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14 Sprint 2 3 Lesson 14: Model Numbers with More Than 9 Ones or 9 Tens; Write In Expanded, Unit, Numeral, and Word Forms 3.E.41

42 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14 Sprint 2 3 Lesson 14: Model Numbers with More Than 9 Ones or 9 Tens; Write In Expanded, Unit, Numeral, and Word Forms 3.E.42

43 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 14 Worksheet 2 3 Name Date Whisper count as you show the numbers with place value disks. A Draw 18 using tens and ones. B Draw 18 using only ones. A Draw 315 using hundreds, tens, and ones. B Draw 315 using only hundreds and ones. Lesson 14: Model Numbers with More Than 9 Ones or 9 Tens; Write In Expanded, Unit, Numeral, and Word Forms 3.E.43

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