1. 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 Name Learning Objective Activate Prior Knowledge We will round multi-digit numbers. 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. The value of 9 in 93,671 is _______. The value of 7 in 97,526 is _______. 1. What is the value of the digit 9? 2. What is the value of the digit 7?

2. 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. ©2013 All rights reserved. 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 Concept Development 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. 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. 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. 780,000790,000 785,000787,530 4,000 5,000 4,500 5,000 6,000 5,500

3. 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. ©2013 All rights reserved. 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 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 3 4 1 find 2 right for a certain purpose 3 explain Vocabulary Skill Development/Guided 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. 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 ______________________________ ______________________________. 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 ______________________________ ______________________________.

4. 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. ©2013 All rights reserved. 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 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 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. 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 _______________________ ______________________________.

5. 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. ©2013 All rights reserved. Skill Development/Guided Practice (continued) 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 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. 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 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 ______________________________ ______________________________. 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 9, 7 1 2 4 5 1, 6 2 3 3 6 5, 7 1 2 4 1 2, 6 2 3 4 figure out Vocabulary

6. 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. ©2013 All rights reserved. Skill Development/Guided Practice (continued) 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 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. 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 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

7. 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. ©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 4 1 3 2 5 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. 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

8. 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. ©2013 All rights reserved. Rounding numbers will make it easier to manage money. Rounding multi-digit numbers will help you do well on tests. 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. 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 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.

9. 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. ©2013 All rights reserved. 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. ________________________________________ What did you learn today about rounding multi-digit numbers? (Pair-Share) Use words from the word bank. Day 1 ___________________________________________________________ _________________________________________________________________ Day 2 ___________________________________________________________ _________________________________________________________________ Skill Closure Access Common Core Summary Closure 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. 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 Word Bank round value nearer greater lesser multi-digit

10. 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. ©2013 All rights reserved. 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 ______________________________ ______________________________. Name 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 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

11. 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. ©2013 All rights reserved. Independent 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. 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 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 7 3 5, 3 6 2 7 7 5, 5 4 1

12. 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. ©2013 All rights reserved. Name 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 ________________________________________________________________ 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. ________________________________________________________________

13. 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. ©2013 All rights reserved. Name 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 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

14. 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. ©2013 All rights reserved. Name 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 ________________________________________________________________ 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?