1. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview 4 th Grade Math Learning Objective: We will compare multi-digit numbers using symbols. Focus Standard: 4.NBT.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. Support Standard: SMP 1, SMP 3, SMP 6, SMP 7 Prerequisite(s): 2.NBT.4 Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons. 4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example recognize that 700  70 = 10 by applying concepts of place value and division. Special Instructions: One method for remembering the correct symbol to use is to remind students that the symbol points to the smaller number. Interpretations of answers in Skill Development/Guided Practice are based on the meaning of the relevant place values. These interpretations can be written or orally delivered. Vocabulary Academic: symbols, determine, identify, interpret Content: Support: Common Core Shifts in Mathematics Shift 1 Focus Shift 2 Coherence Shift 3 Fluency Shift 4 Deep Understanding Shift 5 Application Shift 6 Dual Intensity Standards for Mathematical Practice (SMPs) SMP1 Make sense of problems SMP2 Reason abstractly and quantitatively SMP3 Construct arguments and critique the reasoning of others SMP4 Model with math SMP5 Use appropriate tools SMP6 Attend to precision SMP7 Make use of structure SMP8 Look for regularity in repeated reasoning

2. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 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. What are we going to do? What are symbols? Symbols are __________. CFU 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 1 shapes that stand for something Vocabulary We will compare multi-digit numbers using symbols 1. 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. 1. What is the value of the 2 in 253,987 ? 200,000 20,000 2. What is the value of the 2 in 321,000 ?

3. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved.  less than  greater than  equal to 253,987  321,456 253,987 has less hundred thousands than 321,456. 252,385  252,385 252,385 has all the same digits as 252,385. 261,430  252,605 261,430 has more ten thousands than 252,605. Why is the number 367,325 less than the 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 than the 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 _______. CFU Comparing Numbers 2 figure out Vocabulary Concept Development To compare numbers means to determine 2 whether a number is less than, greater than, or equal to another number.

4. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. 3 find 4 explain Vocabulary Skill Development/Guided Practice Compare each digit in the numbers, starting at the highest place value. If digits are different, identify 3 the smaller digit. (underline) If digits are the same, continue to the next lower place value. Write the correct symbol. Interpret 4 your answer. Compare three-digit numbers using symbols. 1 2 3 a b How did I/you compare each digit in the numbers? How did I/you know which symbol to write? CFU 1 2 To compare numbers means to determine whether a number is less than, greater than, or equal to another number.  less than  greater than  equal to Symbols 1. 251,571 123,128 because ___________________________. 2. 235,841 481,723 because ___________________________. 3. 179,982 163,157 because ___________________________. 4. 237,571 227,897 because _________________________. 251,571 has more hundred thousands than 123,128 235,841 has less hundred thousands than 481,723 179,982 has more ten thousands than 173,157 237,571 has more ten thousands than 227,897

5. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) 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. Compare three-digit numbers using symbols. 1 2 3 a b  less than  greater than  equal to Symbols How did I/you compare each digit in the numbers? How did I/you know which symbol to write? CFU 1 2 To compare numbers means to determine whether a number is less than, greater than, or equal to another number. 5. 375,432 376,387 because ___________________________. 6. 168,405 162,854 because ___________________________. 7. 242,987 because ___________________________. 8. 725,485 because _________________________. 242,987 has all the same digits as 242,987 375,432 has less thousands than 376,387 168,405 has more thousands than 162,854 725,485 has all the same digits as 725,485

6. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) 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. Compare three-digit numbers using symbols. 1 2 3 a b  less than  greater than  equal to Symbols How did I/you compare each digit in the numbers? How did I/you know which symbol to write? CFU 1 2 To compare numbers means to determine whether a number is less than, greater than, or equal to another number. 9. 126,587 126,577 because ___________________________. 10. 373,830 573,830 because ___________________________. 11. 774,948 83,897 because ___________________________. 12. 95,031 393,031 because ___________________________. 126,587 has more tens than 126,577 373,830 has less hundred thousands than 573,830 774,948 has more hundred thousands than 83,897 95,031 has less hundred thousands than 393,031

7. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) 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 2 1 3 4 5 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? Stanislav has the larger collection of cards. 257,384 has fewer ten thousands than 283,195. 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.

8. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Comparing multi-digit numbers using symbols will help you make decisions in real life. Comparing multi-digit numbers using symbols will help you do well on tests. 1 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 2 Relevance To compare numbers means to determine whether a number is less than, greater than, or equal to another number. Madison Square Garden in New York holds 117,457 people. The Superdome in New Orleans holds 127,362 people. Which arena can hold more people? Sample Test Question: Which of the following numbers are compared correctly?

9. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. What did you learn today about comparing multi-digit numbers using symbols? (Pair-Share) Use words from the word bank. Skill Closure Access Common Core Summary Closure Word Bank compare digits less than greater than equal to numbers 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. Compare three-digit numbers using symbols. 1 2 3 a b To compare numbers means to determine whether a number is less than, greater than, or equal to another number. 1. 693,116 594,116 because ___________________________. 2. 235,065 254,626 because ___________________________. 693,116 has more hundred thousands than 594,116 235,065 has less ten thousands than 254,626 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.

10. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice 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. Compare three-digit numbers using symbols. 1 2 3 a b To compare numbers means to determine whether a number is less than, greater than, or equal to another number. 1. 957,845 927,128 because ___________________________. 2. 466,756 529,810 because ___________________________. 3. 635,035 630,535 because ___________________________. 4. 210,130 295,143 because _________________________. 957,845 has more ten thousands than 927,128 466,756 has less hundred thousands than 529,810 635,035 has more thousands than 630,535 210,130 has less ten thousands than 295,143

11. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice (continued) 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. Compare three-digit numbers using symbols. 1 2 3 a b To compare numbers means to determine whether a number is less than, greater than, or equal to another number. 5. 371,474 because ___________________________. 6. 796,352 537,114 because ___________________________. 7. 486,862 473,375 because ___________________________. 8. 36,739 125,142 because _________________________. 371,474 has all the same digits as 371,474 796,352 has more hundred thousands than 537,114 486,862 has more ten thousands than 473,375 36,739 has less hundred thousands than 125,142

12. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 1 Access Common Core 1. 659,292 268,533 because ___________________________. 2. 790,011 790,511 because ___________________________. 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? 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? 125,362 – 32,659 = 92,703 96,835 + 32,659 = 129,494 92,703 < 129,494 The arena will seat more people if the 32,659 chairs are moved. 505,882 – 39,254 = 466,628466,628 < 464,310 Fresno will still have a higher population than Kansas City if 39,254 people move away. 659,292 has more hundred thousands than 268,533 790,011 has less hundreds than 790,511

13. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 2 Access Common Core 1. 596,421 > 586,196O Yes O No 2. 765,310 > 291,122O Yes O No 3. 240,128 < 456,187O Yes O No 4. 857,443 < 489,876O Yes O No 5. 123,815 = 123,816O Yes O No 1. 316,925 361,925 because ___________________________. 2. 108,562 107,662 because ___________________________. Which of the following numbers are compared correctly? 316,925 has less ten thousands than 361,925 108,562 has more thousands than 107,662

14. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 3 Access Common Core 1. 721,501 721,500 because ___________________________. 2. 220,642 230,418 because ___________________________. 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) 721,501 has more ones than 721,500 220,642 has less ten thousands than 230,418

15. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will compare multi-digit numbers using symbols. Elaboration Targeted Vocabulary Academic symbols, determine, identify, interpret Content Support Demonstration Vocabulary Strategy Multiple-Meaning Synonym Definition symbols, determine, identify, interpret Homophone Internal Context Clue Listen, Speak Similar Sounds WriteWriting Read Tracked Reading Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures Language Strategies Cognitive StrategiesTeaching Strategies Content Access Strategies

16. CCSS 4 th Grade Numbers and Operations in Base Ten 2.3 Compare multi-digit numbers using symbols. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Blank Page