What are we going to do? What are symbols ? Symbols are __________.

1. Learning Objective We will compare multi-digit numbers using symbols1. What are we going to do? What are symbols? Symbols are __________. CFU 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. 1. What is the value of the 2 in 253,987? 200,000 Students, you already know how to find the value of a digit by knowing its position in a multi-digit number. Now, we will compare multi-digit numbers using symbols. Make Connection 2. What is the value of the 2 in 321,000? 20,000 1 shapes that stand for something Vocabulary

2. Concept Development To compare numbers means to determine2 whether a number is lessthan, greaterthan, or equaltoanother number. Comparing Numbers CFU Why is the number 367,325 lessthanthe number 461,589? A It has less thousands. B It has less ten thousands. C It has less hundred thousands. Why is the number 725,582 greater thanthe number 721,799? A It has more thousands. B It has more ten thousands. C It has more hundred thousands. Explain why the number 634,645 is equal to the number 634,645. In your own words, what does it mean to compare numbers? To compare numbers _______. < less than 253,987 < 321,456 253,987 has less hundred thousands than 321,456. > greater than 261,430 > 252,605 261,430 has more ten thousands than 252,605. = equal to 252,385=252,385 252,385 has all thesame digits as 252,385. 2 figure out Vocabulary

3. Skill Development/Guided Practice To compare numbers means to determine whether a number is lessthan, greaterthan, or equaltoanother number. How did I/you compare each digit in the numbers? How did I/you know which symbol to write? CFU Compare three-digit numbers using symbols. 1 Compare each digit in the numbers, starting at the highest place value. If digits are different, identify3 the smaller digit. (underline) If digits are the same, continue to the next lower place value. Write the correct symbol. Interpret4 your answer. 1 2 a b 2 3 < less than > greater than 235,841 has lesshundred thousands than 481,723 251,571 has more hundred thousands than 123,128 = equal to 3 find 4 explain Vocabulary 237,571 has more ten thousands than 227,897 179,982 has more ten thousands than 173,157

4. Skill Development/Guided Practice (continued) To compare numbers means to determine whether a number is lessthan, greaterthan, or equaltoanother number. Solving Math Problems 1 Determine what the question is asking. 2 Determine the math concept required. 3 Determine relevant information. 4 Solve the problem, then interpret the answer. 5 Check the reasonableness of your answer. How did I/you compare each digit in the numbers? How did I/you know which symbol to write? CFU Compare three-digit numbers using symbols. 1 Compare each digit in the numbers, starting at the highest place value. If digits are different, identify the smaller digit. (underline) If digits are the same, continue to the next lower place value. Write the correct symbol. Interpret your answer. 1 2 a b 2 3 < less than 168,405 has more thousands than 162,854 375,432 has lessthousands than 376,387 > greater than Solving Math Problems 1 What am I trying to find? 2 What do I know about this idea? 3 What amounts do I know? 4 Solve the problem or answer the question. 5 Did I answer all parts of the question? = equal to 242,987 has all the same digits as 242,987 725,485 has all the same digits as 725,485

5. Skill Development/Guided Practice (continued) To compare numbers means to determine whether a number is lessthan, greaterthan, or equaltoanother number. Solving Math Problems 1 Determine what the question is asking. 2 Determine the math concept required. 3 Determine relevant information. 4 Solve the problem, then interpret the answer. 5 Check the reasonableness of your answer. How did I/you compare each digit in the numbers? How did I/you know which symbol to write? CFU Compare three-digit numbers using symbols. 1 Compare each digit in the numbers, starting at the highest place value. If digits are different, identify the smaller digit. (underline) If digits are the same, continue to the next lower place value. Write the correct symbol. Interpret your answer. 1 2 a b 2 3 < less than 126,587 has more tens than 126,577 373,830 has lesshundred thousands than 573,830 > greater than Solving Math Problems 1 What am I trying to find? 2 What do I know about this idea? 3 What amounts do I know? 4 Solve the problem or answer the question. 5 Did I answer all parts of the question? = equal to 774,948 has more hundred thousands than 83,897 95,031 has lesshundred thousands than 393,031

6. Skill Development/Guided Practice (continued) Solving Math Problems 1 Determine what the question is asking. 2 Determine the math concept required. 3 Determine relevant information. 4 Solve the problem, then interpret the answer. 5 Check the reasonableness of your answer. 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 1 2 3 4 1. Tomas has 257,348 baseball cards in his collection. Stanislav has 283,195 football cards. Who has the larger collection of cards? How do you know? 5 Stanislav has the larger collection of cards. 257,384 has fewer ten thousands than 283,195. Solving Math Problems 1 What am I trying to find? 2 What do I know about this idea? 3 What amounts do I know? 4 Solve the problem or answer the question. 5 Did I answer all parts of the question? 2. Libby has 875,790 readers on her blog. Danniek has 335,493 readers on her blog. Who has the larger number of readers? How do you know? Libby has more readers on her blog. 875,790 has more hundred thousands than 335,493.

7. Relevance To compare numbers means to determine whether a number is lessthan, greaterthan, or equaltoanother number. Comparing multi-digit numbers using symbols will help you make decisions in real life. 1 Comparing multi-digit numbers using symbols will help you do well on tests. 2 Sample Test Question: Which of the following numbers are compared correctly? Does anyone else have another reason why it is relevant to compare multi-digit numbers using symbols? (Pair-Share) Why is it relevant to compare multi-digit numbers using symbols? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU

8. To compare numbers means to determine whether a number is lessthan, greaterthan, or equaltoanother number. Skill Closure Compare three-digit numbers using symbols. Compare each digit in the numbers, starting at the highest place value. If digits are different, identify the smaller digit. (underline) If digits are the same, continue to the next lower place value. Write the correct symbol. Interpret your answer. 1 a b 2 3 Word Bank Word Bank compare digits less than greater than equal to numbers 235,065 has lessten thousands than 254,626 693,116 has more hundred thousands than 594,116 Access Common Core Justin thinks that 744,593 is less than 154,045 because the digit 3 is less than the digit 5. Explain the mistake he made. Justin started comparing the digits in the ones place instead of the largest place value. Summary Closure What did you learn today about comparing multi-digit numbers using symbols? (Pair-Share) Use words from the word bank.

9. Independent Practice To compare numbers means to determine whether a number is lessthan, greaterthan, or equaltoanother number. Compare three-digit numbers using symbols. Compare each digit in the numbers, starting at the highest place value. If digits are different, identify the smaller digit. (underline) If digits are the same, continue to the next lower place value. Write the correct symbol. Interpret your answer. 1 a b 2 3 466,756 has lesshundred thousands than 529,810 957,845 has more ten thousands than 927,128 635,035 has more thousands than 630,535 210,130 has lessten thousands than 295,143

10. Independent Practice (continued) To compare numbers means to determine whether a number is lessthan, greaterthan, or equaltoanother number. Compare three-digit numbers using symbols. Compare each digit in the numbers, starting at the highest place value. If digits are different, identify the smaller digit. (underline) If digits are the same, continue to the next lower place value. Write the correct symbol. Interpret your answer. 1 a b 2 3 796,352 has more hundred thousands than 537,114 371,474 has all the same digits as 371,474 486,862 has more ten thousands than 473,375 36,739 has lesshundred thousands than 125,142

11. Periodic Review 1 Solving Math Problems 1 What am I trying to find? 2 What do I know about this idea? 3 What amounts do I know? 4 Solve the problem or answer the question. 5 Did I answer all parts of the question? 790,011 has lesshundreds than 790,511 659,292 has more hundred thousands than 268,533 Access Common Core Answering ELA Questions 1 Determine what the question or prompt is asking. 2 Determine the ELA concept required. 3 Read the text to determine relevant information. 4 Answer the question. 5 Re-read the directions to determine if you answered all parts of the question. The University of Alabama’s main auditorium has 125,362 chairs. Their arena can seat 96,835 people. If the school moves 32,659 chairs from the auditorium into the arena, which will seat more people? 125,362 – 32,659 = 92,703 92,703 < 129,494 96,835 + 32,659 = 129,494 The arena will seat more people if the 32,659 chairs are moved. Fresno, California, has a population of 505,882 people. Kansas City, Missouri has a population of 464,310. If 39,254 people move away from Fresno, which city has the higher population? 505,882 – 39,254 = 466,628 466,628 < 464,310 Fresno will still have a higher population than Kansas City if 39,254 people move away.

12. Periodic Review 2 Solving Math Problems 1 What am I trying to find? 2 What do I know about this idea? 3 What amounts do I know? 4 Solve the problem or answer the question. 5 Did I answer all parts of the question? 316,925 has lessten thousands than 361,925 108,562 has more thousands than 107,662 Access Common Core Answering ELA Questions 1 Determine what the question or prompt is asking. 2 Determine the ELA concept required. 3 Read the text to determine relevant information. 4 Answer the question. 5 Re-read the directions to determine if you answered all parts of the question. Which of the following numbers are compared correctly?

13. Periodic Review 3 Solving Math Problems 1 What am I trying to find? 2 What do I know about this idea? 3 What amounts do I know? 4 Solve the problem or answer the question. 5 Did I answer all parts of the question? 721,501 has more ones than 721,500 220,642 has lessten thousands than 230,418 Access Common Core Answering ELA Questions 1 Determine what the question or prompt is asking. 2 Determine the ELA concept required. 3 Read the text to determine relevant information. 4 Answer the question. 5 Re-read the directions to determine if you answered all parts of the question. 1. Rearrange the digits in the number 126,876 to create a larger number. 627,186 (answers will vary) 2. Rearrange the digits in the number 354,514 to create a larger number. 551,344 (answers will vary) 3. Rearrange the digits in the number 730,485 to create a smaller number. 308,435 (answers will vary) 4. Rearrange the digits in the number 846,040 to create a smaller number. 840,640 (answers will vary)

14. EDI – Cognitive, Teaching, and English Learner Strategies Cognitive Strategies Teaching Strategies Language Strategies Content Access Strategies

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