1. 4 th Grade Math Learning Objective: We will round multi-digit numbers. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview Focus Standard:4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place. Support Standard:SMP 1, SMP 2, SMP 3, SMP 6, SMP 7, SMP 8 Prerequisite(s):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. 3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100. Manipulative(s): Special Instructions: In this lesson, number lines are used to show the concept of rounding. By giving students a visual representation of the number being nearer to the value it is rounded to, they can see the relationship. Rounding the digit 5 is deliberately left out of concept. It should be addressed briefly as a special case during Skill Development/Guided Practice through the teacher’s modeling of question number 9. Vocabulary Academic:identify, determine, interpret Content:place, value, rounding up, rounding down Support:appropriate 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 3.0 Use place value understanding to round multi-digit whole numbers to any place. 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? CFU Students, you already know how to identify the place value of numbers. Now, we are going to use place value to round multi-digit numbers. Make Connection We will round multi-digit numbers. 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. 9 3, 6 7 1 9 7, 5 2 6 The value of 9 in 93,671 is _______. The value of 7 in 97,526 is _______. 90,000 7,000 1. What is the value of the digit 9? 2. What is the value of the digit 7?

3. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. Would 4,350 rounded to the nearest thousand round up or down? How do you know? A up B down Would 5,670 rounded to the nearest thousand round up or down? How do you know? A up B down In your own words, what does it mean to round a multi-digit number? “Rounding a multi-digit number means __________.” CFU Rounding multi-digit numbers. Concept Development 82,273 Round 82,273 to the nearest thousand. 82,000 83,000 82,50082,237 8,23782,000 82,00083,000 8,237 rounded to the nearest thousand is 82,000 because it is nearer in value to 82,000 than 83,000. 787,530 Round 787,530 to the nearest ten thousand. 780,000790,000 785,000787,530 787,530 790,000790,000 780,000 787,530 rounded to the nearest ten thousand is 790,000 because it is nearer in value to 790,000 than 780,000. 4,000 5,000 4,500 5,000 6,000 5,500

4. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. 1 find 2 right for a certain purpose 3 explain Vocabulary Skill Development/Guided Practice Read the problem and identify 1 the place value to round to. (circle) Label the number line with the appropriate 2 numbers. Place the given number on the number line. Round the number up or down. Interpret 3 your answer. (write) Round multi-digit numbers. 1 2 3 4 5 To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. 1.Round to the nearest thousand. 45,692 __________ rounded to the nearest thousand is ________ because ______________________________ ______________________________. 2. Round to the nearest thousand. 36,428 __________ rounded to the nearest thousand is ________ because ______________________________ ______________________________. 45,000 45,500 46,000 37,000 45,692 36,000 36,550 36,428 45,327 46,000 36,428 36,000 it is nearer in value to 46,000 than 45,000. it is nearer in value to 36,000 than 37,000. How did I/you identify the place value to round to? How did I/you label the number line? How did I/you place the given number on the number line? How did I/you round the number? CFU 1 2 4 3

5. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) Read the problem and identify the place value to round to. (circle) Label the number line with the appropriate numbers. Place the given number on the number line. Round the number up or down. Interpret your answer. (write) Round multi-digit numbers. 1 2 3 4 5 To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. How did I/you identify the place value to round to? How did I/you label the number line? How did I/you place the given number on the number line? How did I/you round the number? CFU 1 2 4 3 3.Round to the nearest ten thousand. 213,462 __________ rounded to the nearest ten thousand is ________ because ______________________________ ______________________________. 4. Round to the nearest ten thousand. 557,065 __________ rounded to the nearest ten thousand is ________ because ______________________________ ______________________________. 210,000 215,000 220,000 560,000 213,462 550,000 555,000 557,000 213,462 210,000 557,065 560,000 it is nearer in value to 210,000 than 220,000. it is nearer in value to 560,000 than 550,000.

6. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) Read the problem and identify the place value to round to. (circle) Label the number line with the appropriate numbers. Place the given number on the number line. Round the number up or down. Interpret your answer. (write) Round multi-digit numbers. 1 2 3 4 5 To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. 5.Round to the nearest hundred thousand. 821,346 __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 6. Round to the nearest hundred thousand. 360,428 __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 800,000 850,000 900,000 400,000 821,346 300,000 350,000 360,428 821,346 800,000 365,428 400,000 it is nearer in value to 800,000 than 900,000. it is nearer in value to 400,000 than 300,000. How did I/you identify the place value to round to? How did I/you label the number line? How did I/you place the given number on the number line? How did I/you round the number? CFU 1 2 4 3

7. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. 7. Round to the nearest thousand. __________ rounded to the nearest thousand is ________ because ______________________________ ______________________________. 8. Round to the nearest thousand. __________ rounded to the nearest thousand is ________ because ______________________________ ______________________________. 3 6 9, 7 1 2 4 5 1, 6 2 3 369,712 370,000 451,623 452,000 it is nearer in value to 452,000 than 451,000. it is nearer in value to 370,000 than 369,000. Read the problem and identify the place value to round to. (circle) Determine 4 whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) Round multi-digit numbers. 1 2 3 4 How did I/you identify the place value to be rounded? How did I/you determine whether to round up or down? How did I/you round the number? CFU 1 2 3 4 figure out Vocabulary

8. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. 9. Round to the nearest ten thousand. __________ rounded to the nearest ten thousand is ________ because ______________________________ ______________________________. 10. Round to the nearest ten thousand. __________ rounded to the nearest ten thousand is ________ because ______________________________ ______________________________. 3 6 5, 7 1 2 4 1 2, 6 2 3 365,712 370,000 412,623 410,000 it is nearer in value to 410,000 than 420,000. it is nearer in value to 370,000 than 360,000. Read the problem and identify the place value to round to. (circle) Determine whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) Round multi-digit numbers. 1 2 3 4 How did I/you identify the place value to be rounded? How did I/you determine whether to round up or down? How did I/you round the number? CFU 1 2 3

9. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. 11. Round to the nearest hundred thousand. __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 12. Round to the nearest hundred thousand. __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 3 2 6, 7 1 2 4 5 7, 6 2 3 326,712 300,000 457,623 500,000 it is nearer in value to 500,000 than 400,000. it is nearer in value to 300,000 than 400,000. Read the problem and identify the place value to round to. (circle) Determine whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) Round multi-digit numbers. 1 2 3 4 How did I/you identify the place value to be rounded? How did I/you determine whether to round up or down? How did I/you round the number? CFU 1 2 3

10. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) Eduardo rounded the following numbers to the nearest ten thousand. Some of his answers are incorrect. Cross out any incorrect answers and write in the correct ones. 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 Explain the mistake that Eduardo was making when he rounded the numbers above. __________________________________________________________________ 613,782 669,961 345, 845 695,632 884,097 125,385 809,803 731,892 610,000340,000880,000810,000 670,000690,000120,000730,000 350,000 700,000 130,000 Eduardo rounded the numbers with 5 in the thousands place down. He should have rounded those numbers up.

11. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. 1 Does anyone else have another reason why it is relevant to round multi-digit numbers? (Pair-Share) Why is it relevant to round multi-digit numbers? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 2 Relevance To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. Rounding multi-digit numbers will help you do well on tests. Sample Test Question: 29. Which of the following numbers would be rounded down to the nearest ten thousand? 206,127 783,344 124,478 977,124 YesNo YesNo YesNo YesNo Rounding numbers will make it easier to manage money. Sarah wanted to buy a new car. The price was $19,875. She also wanted to buy a new television that cost $1,598. She knows that she needs about $22,000 to get both.

12. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. What did you learn today about rounding multi-digit numbers? (Pair-Share) Use words from the word bank. Skill Closure Access Common Core Summary Closure Word Bank round value nearer greater lesser multi-digit Read the problem and identify the place value to round to. (circle) Determine whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) Round multi-digit numbers. 1 2 3 4 1. Round to the nearest thousand. __________ rounded to the nearest thousand is ________ because ______________________________ ______________________________. 2. Round to the nearest ten thousand. __________ rounded to the nearest ten thousand is ________ because ______________________________ ______________________________. 2 4 7, 2 6 2 7 5 8, 6 3 5 247,262 247,000 758,635 760,000 it is nearer in value to 760,000 than 750,000. it is nearer in value to 247,000 than 248,000. To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. Albert thinks that 253,430 rounded to the nearest ten thousand is 260,000. Do you agree with his answer? Why or why not? Use the number line to explain. I do not agree with Albert because 253,430 is closer to 250,000. 250,000 255,000 260,000 253,430

13. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Read the problem and identify the place value to round to. (circle) Label the number line with the appropriate numbers. Place the given number on the number line. Round the number up or down. Interpret your answer. (write) Round multi-digit numbers. 1 2 3 4 5 1. Round to the nearest hundred thousand. __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 2. Round to the nearest ten thousand. __________ rounded to the nearest ten thousand is ________ because _______________________________ ______________________________. Independent Practice To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. 7 5 4, 2 0 0 8 9 5, 7 0 7 700,000 750,000 800,000 754,200 800,000 it is nearer in value to 800,000 than 700,000. 890,000 895,000 900,000 895,707 900,000 it is nearer in value to 900,000 than 890,000.

14. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Independent Practice (continued) 3. Round to the nearest hundred thousand. __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 4. Round to the nearest hundred thousand. __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 5. Round to the nearest ten thousand. __________ rounded to the nearest ten thousand is ________ because ______________________________ ______________________________. 6. Round to the nearest thousand. __________ rounded to the nearest thousand is ________ because ______________________________ ______________________________. 5 6 1, 1 9 0 6 5 9, 2 3 2 561,190 600,000 659,232 700,000 it is nearer in value to 700,000 than 600,000. it is nearer in value to 600,000 than 500,000. Read the problem and identify the place value to round to. (circle) Determine whether to round up or down. Hint: Look at the digit in the next place value lower. Round the number. Interpret your answer. (write) Round multi-digit numbers. 1 2 3 4 To round a multi-digit number is to change it to a near value. Rounding down changes the number to a lesser value. Rounding up changes the number to a greater value. 7 3 5, 3 6 2 7 7 5, 5 4 1 735,362 740,000 775,541 776,000 it is nearer in value to 776,000 than 775,000. it is nearer in value to 740,000 than 730,000.

15. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Access Common Core 1. Round to the nearest ten thousand. __________ rounded to the nearest ten thousand is ________ because ______________________________ ______________________________. 2. Round to the nearest hundred thousand. __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 4 3 9, 5 7 7 4 2 3, 7 7 1 439,577 440,000 423,771 400,000 it is nearer in value to 400,000 than 500,000. it is nearer in value to 440,000 than 430,000. 1. When rounding to the nearest ten thousand, Dina determined that 967,583 will be rounded down. Explain why Dina is incorrect. 2. When rounding to the nearest thousand, Joseph determined that 534,192 will be rounded up. Explain why Joseph is incorrect. 3. When rounding to the nearest hundred thousand, Jody determined that 794,354 will be rounded down. Explain why Jody is correct. Dina is incorrect because 7 is in the thousands place. The number is closer to 970,000 than 960,000. Joseph is incorrect because 1 is in the hundreds place. The number is closer to 534,000 than 535,000. Dina is correct because 9 is in the ten thousands place. The number is closer to 800,000 than 700,000.

16. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Periodic Review 2 Access Common Core 1. Round to the nearest thousand. __________ rounded to the nearest thousand is ________ because ______________________________ ______________________________. 2. Round to the nearest hundred thousand. __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 6 4 5, 1 7 9 6 2 0, 0 6 3 645,179 645,000620,063 600,000 it is nearer in value to 600,000 than 700,000. it is nearer in value to 645,000 than 646,000. O Yes O No 1. Choose Yes or No to indicate whether each statement is true about the number 94,632. 1a. 94,632 rounded to the nearest ten is 94,630. 1b. 94,632 is nearer in value to 94,000 than 95,000. 1c. 94,632 rounded to the nearest hundred thousand is 100,000. 2. Choose Yes or No to indicate whether each statement is true about the number 697,841. 1a. 697,841 rounded to the nearest ten thousand is 690,000. 1b. 697,841 is nearer in value to 700,000 than 690,000. 1c. 697,841 rounded to the nearest thousand is 697,000. O Yes O No

17. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Access Common Core 1. Round to the nearest hundred thousand. __________ rounded to the nearest hundred thousand is ________ because _______________________ ______________________________. 2. Round to the nearest ten thousand. __________ rounded to the nearest ten thousand is ________ because ______________________________ ______________________________. 9 4 9, 5 9 4 6 6 3, 7 8 5 949,594 900,000 663,785 660,000 it is nearer in value to 660,000 than 670,000. it is nearer in value to 900,000 than 1,000,000. 1. Alice is rounding the number 797,908 to the nearest ten thousand. She thinks that the rounded number will be 790,000. Do you agree with her? Why or why not? 2. Braden is rounding the number 989,976 to the nearest hundred thousand. He thinks that the answer will be 1,000,000. Do you agree with him? Why or why not? No, I do not agree with her. The number is closer to 800,000 than 790,000. Yes, I do agree with him. The number is closer to 1,000,000 than 900,000.

18. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will round multi-digit numbers. Elaboration Targeted Vocabulary Academic identify, determine, interpret Content place, value, round Support appropriate Demonstration Vocabulary Strategy Multiple-Meaning Synonym place, value Definition identify, determine, interpret, round, appropriate 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