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CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.

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Presentation on theme: "CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form."— Presentation transcript:

1 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Lesson to be used by EDI-trained teachers only. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. We will write multi-digit numbers using expanded form. What are we going to do? CFU Students, you already know how to identify the place value of digits in a number. Now, we will use place value to write multi-digit numbers in expanded form. Make Connection Name Learning Objective Activate Prior Knowledge Place value: The place is the position of a digit in a number. The value is the worth of the digit due to its position. A digit in any place represents 10 times as much as it does in the place to its right. Find the place value for the following digits of 321,658. 1. 3 is in the ___________________ place. The value of the 3 in 321,658 is _________. 2. 2 is in the ____________________ place. The value of the 2 in 321,658 is _________.

2 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Which number is equal to 500,000 + 30,000 + 3,000 + 700 + 60 + 4 ? How do you know? A 533,764B 353,064C 764,533 Why is 5 + 3 + 3 + 7 + 6 + 4 not the expanded form of 3,764 ? In your own words, what does it mean to have a number in expanded form? A number in expanded form _____________________. CFU 1 make longer (gesture) 2 first Vocabulary Concept Development Expanded 1 form represents a number as the addition of the value of each digit. The expanded form of a number is equal to the original 2 number. 8 8 Standard Form Expanded Form 321,258 321 258 3 00,000 + 2 0,000 + 1,000 + 2 00 + 5 0 + 8 NOT Expanded Form 321 258 3 + 2 + 1 + 2 + 5 + 8 550550 5 2 2 00 2 1 1,000 1 2 2 0,000 2 3 3 00,000 3 321,258 The value of the ___ in 321,258 is __________.

3 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. How did I/you identify the value of the digits in each place? How did I/you write the expanded form of the number? CFU 2 3 3 find Vocabulary Write multi-digit numbers in expanded form. 1 Read the number aloud. Identify 3 the value of the digits in each place. Write the expanded form of the number. 2 3 Skill Development/Guided Practice Expanded form represents a number as the addition of the value of each digit. The expanded form of a number is equal to the original number. 1.2. 3.4. 5.6. 6 3 0, 0 4 0 The expanded form of 630,040 is _____________________________ _____________________________. 1 3 5, 3 7 6 The expanded form of 135,376 is _____________________________ _____________________________. 2 5 7, 5 1 4 The expanded form of 257,514 is _____________________________ _____________________________. 3 8 0, 2 0 6 The expanded form of 380,206 is _____________________________ _____________________________. 4 9 0, 5 0 8 The expanded form of 490,508 is _____________________________ _____________________________. 5 0 0, 6 3 0 The expanded form of 500,630 is _____________________________ _____________________________.

4 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU 4 1 3 2 5 Skill Development/Guided Practice (continued) Elise wrote the expanded form of 709,765 below. Do you agree with her answer? Why or why not? Doris wrote the expanded form of 646,074 below. Do you agree with her answer? Why or why not?

5 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. 1 Does anyone else have another reason why it is relevant to write multi-digit numbers in expanded form? (Pair-Share) Why is it relevant to write multi-digit numbers in expanded form? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 2 Relevance Sample Test Question: 32. Alicia’s father has 630,235 stamps in his stamp collection. Which of the following equals 630,235? A 6 + 3 + 2 + 3 + 5 B 600,000 + 3,000 + 200 + 30 + 5 C 600,000 + 30,000 + 200 + 30 + 5 D 6,000 + 3,000 + 200 + 300 + 500 Writing multi-digit numbers in expanded form will help you better understand what numbers mean. Writing multi-digit numbers in expanded form will help you do well on tests. My uncle George won the lottery. He won one hundred sixty-five thousand, nine hundred twenty- seven dollars. 100,000 + 60,000 + 5,000 + 900 + 20 + 7 = $165,927 Expanded form represents a number as the addition of the value of each digit. The expanded form of a number is equal to the original number.

6 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. ________________________________________________________ What did you learn today about writing multi-digit numbers in expanded form? (Pair-Share) Use words from the word bank. Day 1 ____________________________________________ _________________________________________________ Day 2 ____________________________________________ _________________________________________________ Expanded form represents a number as the addition of the value of each digit. The expanded form of a number is equal to the original number. Skill Closure Access Common Core Summary Closure Write multi-digit numbers in expanded form. 1 Read the number aloud. Identify the value of the digits in each place. Write the expanded form of the number. 2 3 Word Bank expanded form value digit place value number 1.2. 2 3 2, 3 3 5 The expanded form of 232,335 is _____________________________ _____________________________. 2 2 8, 0 4 9 The expanded form of 228,049 is _____________________________ _____________________________. Susan wrote the expanded form of 630,257 below. Do you agree with her answer? Why or why not?

7 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. 1.2. 3.4. 5.6. Name Independent Practice 5 4 4, 1 3 6 The expanded form of 544,136 is _____________________________ _____________________________. 2 9 2, 7 7 8 The expanded form of 292,778 is _____________________________ _____________________________. 3 2 4, 6 5 3 The expanded form of 324,653 is _____________________________ _____________________________. 3 6 6, 3 0 7 The expanded form of 366,307 is _____________________________ _____________________________. 3 0 6, 9 6 5 The expanded form of 306,965 is _____________________________ _____________________________. 4 8 2, 1 1 1 The expanded form of 482,111 is _____________________________ _____________________________. Write multi-digit numbers in expanded form. 1 Read the number aloud. Identify the value of the digits in each place. Write the expanded form of the number. 2 3 Expanded form represents a number as the addition of the value of each digit. The expanded form of a number is equal to the original number.

8 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice (continued) Write multi-digit numbers in expanded form. 1 Read the number aloud. Identify the value of the digits in each place. Write the expanded form of the number. 2 3 Expanded form represents a number as the addition of the value of each digit. The expanded form of a number is equal to the original number. 1.2. 3.4. 5.6. The expanded form of 830,068 is _____________________________ _____________________________. The expanded form of 664,264 is _____________________________ _____________________________. The expanded form of 436,547 is _____________________________ _____________________________. The expanded form of 536,895 is _____________________________ _____________________________. The expanded form of 984,697 is _____________________________ _____________________________. The expanded form of 800,915 is _____________________________ _____________________________. 8 3 0, 0 6 8 6 6 4, 2 6 4 4 3 6, 5 4 7 5 3 6, 8 9 5 9 8 4, 6 9 7 8 0 0, 9 1 5

9 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Name Periodic Review 1 Access Common Core 1.2. 3.4. 2 4 8, 6 5 4 The expanded form of 248,654 is _____________________________ _____________________________. 6 3 7, 6 7 7 The expanded form of 637,677 is _____________________________ _____________________________. 1 2 8, 0 3 2 The expanded form of 128,032 is _____________________________ _____________________________. 9 5 5, 4 3 0 The expanded form of 955,430 is _____________________________ _____________________________. 509,617 569,170 759,061 971,605 500,000 + 60,000 + 9,000 + 100 + 70 900,000 + 70,000 + 1,000 + 60 + 5 500,000 + 9,000 + 600 + 10 + 7 700,000 + 50,000 + 9,000 + 60 + 1 Match the following numbers to their expanded form below.

10 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Name Periodic Review 2 Access Common Core 1.2. 3.4. 2 3 0, 3 1 1 The expanded form of 230,311 is _____________________________ _____________________________. 5 1 8, 6 2 6 The expanded form of 518,626 is _____________________________ _____________________________. 4 6 0, 1 0 9 The expanded form of 460,109 is _____________________________ _____________________________. 6 7 0, 8 1 3 The expanded form of 670,813 is _____________________________ _____________________________. 1. 112,073 = 100,000 + 10,000 + 2,000 + 70 + 3O Yes O No 2. 710,930 = 700,000 + 10,000 + 9,000 + 300O Yes O No 3. 176,585 = 100,000 + 70,000 + 6,000 + 500 + 80 + 5O Yes O No 4. 349,808 = 300,000 + 40,000 + 9,000 + 800 + 80O Yes O No 5. 636,338 = 600,000 + 30,000 + 6,000 + 300 + 30 + 8O Yes O No Which of the following numbers are correctly written in expanded form?

11 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Name Periodic Review 3 Access Common Core 1.2. 3.4. The expanded form of 501,588 is _____________________________ _____________________________. The expanded form of 747,991 is _____________________________ _____________________________. The expanded form of 984,809 is _____________________________ _____________________________. The expanded form of 503,844 is _____________________________ _____________________________. 5 0 1, 5 8 8 7 4 7, 9 9 1 9 8 4, 8 0 9 5 0 3, 8 4 4 NolanAgnes Agnes did her work correctly; her partner Nolan did not. What should Agnes tell Nolan to help him? Explain your answer. ___________________________________________________

12 CCSS 4 th Grade Numbers and Operations in Base Ten 2.2 Write multi-digit numbers in expanded form. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Blank Page


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