Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Learning Objective We will round multi-digit numbers. CFU What are we going to do? 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 digit 9? 93,671 The value of 9 in 93,671 is 90,000 _______. 2. What is the value of the digit 7? Make Connection 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. 97,526 The value of 7 in 97,526 is 97,000 _______. READY TO TEACHSM EDI® Lessons ©2013 All rights reserved. CCSS 4th 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. 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. Round 82,273 to the nearest thousand. CFU 82,237 82,000 Would 4,350 rounded to the nearest thousand round up or down? How do you know? 82,500 83,000 82,237 rounded to the nearest thousand is 82,000 because it is nearer in value to 82,000 than 83,000. Round 787,530 to the nearest ten thousand. 785,000 5,000 Would 5,670 rounded to the nearest thousand round up or down? How do you know? 5,500 6,000 A up B down 790,000 787,530 rounded to the nearest ten thousand is 790,000 because it is nearer in value to 790,000 than 780,000. ©2013 All rights reserved. 4,500 A up B down 5,000 787,530 780,000 4,000 In your own words, what does it mean to round a multi-digit number? “Rounding a multi-digit number means __________.” CCSS 4th 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 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. Round multi-digit numbers. 1 Read the problem and identify1 the place value to round to. (circle) 2 Label the number line with the appropriate2 numbers. 3 Place the given number on the number line. 4 Round the number up or down. 5 Interpret3 your answer. (write) CFU 1 How did I/you identify the place value to round to? 2 How did I/you label the number line? 3 How did I/you place the 1. Round to the nearest thousand. 2. Round to the nearest thousand. 45,692 36,428 45,692 45,000 45,500 4 36,428 given number on the number line? How did I/you round the number? 46,000 36,000 __________ 45,692 rounded to the nearest thousand is ________ 46,000 because it is nearer in value to 46,000 than ______________________________ 45,000. ______________________________. 36,550 37,000 __________ 36,428 rounded to the nearest 36,000 because thousand is ________ it is nearer in value to 36,000 than ______________________________ 37,000. ______________________________. Vocabulary 1 find right for a certain purpose 3 explain 2 ©2013 All rights reserved. CCSS 4th 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. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Label the number line with the appropriate numbers. 3 Place the given number on the number line. 4 Round the number up or down. 5 Interpret your answer. (write) CFU 1 How did I/you identify the place value to round to? 2 How did I/you label the number line? 3 How did I/you place the 3. Round to the nearest ten thousand. 4. Round to the nearest ten thousand. 213,462 557,065 213,462 210,000 215,000 220,000 550,000 213,462 rounded to the nearest __________ 210,000 because ten thousand is ________ it is nearer in value to 210,000 than ______________________________ 220,000. ______________________________. ©2013 All rights reserved. 4 557,065 given number on the number line? How did I/you round the number? 555,000 560,000 557,065 rounded to the nearest __________ 560,000 because ten thousand is ________ it is nearer in value to 560,000 than ______________________________ 550,000. ______________________________. CCSS 4th 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. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Label the number line with the appropriate numbers. 3 Place the given number on the number line. 4 Round the number up or down. 5 Interpret your answer. (write) CFU 1 How did I/you identify the place value to round to? 2 How did I/you label the number line? 3 How did I/you place the 5. Round to the nearest hundred thousand. 6. Round to the nearest hundred thousand. 821,346 360,428 360,428 821,346 800,000 850,000 900,000 300,000 821,346 rounded to the nearest __________ hundred thousand is 800,000 ________ is nearer in value to because it_______________________ 800,000 than 900,000. ______________________________. ©2013 All rights reserved. 4 given number on the number line? How did I/you round the number? 350,000 400,000 365,428 rounded to the nearest __________ 400,000 hundred thousand is ________ it is nearer in value to because _______________________ 400,000 than 300,000. ______________________________. CCSS 4th 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. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine4 whether to round up or down. CFU Hint: Look at the digit in the next place value lower. 1 How did I/you identify the 3 Round the number. 4 Interpret your answer. (write) 7. Round to the nearest thousand. 3 6 9, 7 1 2 __________ 369,712 rounded to the nearest thousand is ________ 370,000 because ______________________________ it is nearer in value to 370,000 than ______________________________. 369,000. ©2013 All rights reserved. place value to be rounded? 2 How did I/you determine 8. Round to the nearest thousand. 3 whether to round up or down? How did I/you round the number? 4 5 1, 6 2 3 __________ 451,623 rounded to the nearest thousand is ________ 452,000 because it is nearer in value to 452,000 than ______________________________ 451,000. ______________________________. Vocabulary 4 figure out CCSS 4th 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. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine whether to round up or down. CFU Hint: Look at the digit in the next place value lower. 1 How did I/you identify the 3 Round the number. 4 Interpret your answer. (write) 9. Round to the nearest ten thousand. 3 6 5, 7 1 2 365,712 rounded to the nearest __________ 370,000 because ten thousand is ________ it is nearer in value to 370,000 than ______________________________ 360,000. ______________________________. ©2013 All rights reserved. place value to be rounded? 2 How did I/you determine 3 10. Round to the nearest ten thousand. whether to round up or down? How did I/you round the number? 4 1 2, 6 2 3 412,623 rounded to the nearest __________ ten thousand is ________ 410,000 because it is nearer in value to 410,000 than ______________________________ 420,000. ______________________________. CCSS 4th 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. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine whether to round up or down. CFU Hint: Look at the digit in the next place value lower. 1 How did I/you identify the 3 Round the number. 4 Interpret your answer. (write) 11. Round to the nearest hundred thousand. 3 2 6, 7 1 2 __________ 326,712 rounded to the nearest hundred thousand is ________ 300,000 is nearer in value to because it _______________________ 300,000 than 400,000. ______________________________. ©2013 All rights reserved. place value to be rounded? 2 How did I/you determine 12. Round to the nearest hundred thousand. 3 whether to round up or down? How did I/you round the number? 4 5 7, 6 2 3 457,623 rounded to the nearest __________ 500,000 hundred thousand is ________ is nearer in value to because it _______________________ 500,000 than 400,000. ______________________________. CCSS 4th 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) CFU 1 How did I/you determine what the question is asking? 2 How did I/you determine the 3 4 5 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? 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. 809,803 613,782 884,097 345, 845 610,000 340,000 880,000 810,000 350,000 669,961 695,632 125,385 731,892 670,000 690,000 120,000 730,000 700,000 130,000 Explain the mistake that Eduardo was making when he rounded the numbers above. __________________________________________________________________ Eduardo rounded the numbers with 5 in the thousands place down. He __________________________________________________________________ should have rounded those numbers up. __________________________________________________________________ ©2013 All rights reserved. CCSS 4th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. 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. 1 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. 2 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? ©2013 All rights reserved. 206,127 Yes No 783,344 Yes No 124,478 Yes No 977,124 Yes No CFU 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? CCSS 4th 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. Skill Closure Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine whether to round up or down. Hint: Look at the digit in the next place value lower. 3 Round the number. 4 Interpret your answer. (write) 1. Round to the nearest thousand. 2. Round to the nearest ten thousand. 2 4 7, 2 6 2 247,262 rounded to the nearest __________ 247,000 because thousand is ________ it is nearer in value to 247,000 than ______________________________ 248,000. ______________________________. 7 5 8, 6 3 5 758,635 rounded to the nearest __________ ten thousand is ________ 760,000 because it is nearer in value to 760,000 than ______________________________ 750,000. ______________________________. Access Common Core 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. 253,430 Summary Closure 250,000 255,000 Word Bank round value nearer greater lesser multi-digit 260,000 What did you learn today about rounding multi-digit numbers? (Pair-Share) Use words from the word bank. ©2013 All rights reserved. CCSS 4th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only. 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. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Label the number line with the appropriate numbers. 3 Place the given number on the number line. 4 Round the number up or down. 5 Interpret your answer. (write) 1. Round to the nearest hundred thousand. 2. Round to the nearest ten thousand. 7 5 4, 2 0 0 8 9 5, 7 0 7 895,707 754,200 700,000 750,000 800,000 890,000 754,200 rounded to the nearest __________ hundred thousand is 800,000 ________ is nearer in value to because it_______________________ 800,000 than 700,000. ______________________________. ©2013 All rights reserved. 895,000 900,000 895,707 rounded to the nearest __________ ten thousand is 900,000 ________ because it is nearer in value to 900,000 than _______________________________ 890,000. ______________________________. CCSS 4th 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) 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. Round multi-digit numbers. 1 Read the problem and identify the place value to round to. (circle) 2 Determine whether to round up or down. Hint: Look at the digit in the next place value lower. 3 Round the number. 4 Interpret your answer. (write) 3. Round to the nearest hundred thousand. 5 6 1, 1 9 0 4. Round to the nearest hundred thousand. 6 5 9, 2 3 2 561,190 rounded to the nearest __________ hundred thousand is 600,000 ________ is nearer in value to because it _______________________ 600,000 than 500,000. ______________________________. 659,232 rounded to the nearest __________ hundred thousand is 700,000 ________ is nearer in value to because it _______________________ 700,000 than 600,000. ______________________________. 5. Round to the nearest ten thousand. 6. Round to the nearest thousand. 7 3 5, 3 6 2 7 7 5, 5 4 1 __________ 735,362 rounded to the nearest ten thousand is ________ 740,000 because ______________________________ it is nearer in value to 740,000 than ______________________________. 730,000. __________ 775,541 rounded to the nearest thousand is ________ 776,000 because ______________________________ it is nearer in value to 776,000 than ______________________________. 775,000. ©2013 All rights reserved. CCSS 4th 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 1. Round to the nearest ten thousand. 4 3 9, 5 7 7 439,577 rounded to the nearest __________ 440,000 because ten thousand is ________ it is nearer in value to 440,000 than ______________________________ 430,000. ______________________________. 2. Round to the nearest hundred thousand. 4 2 3, 7 7 1 423,771 rounded to the nearest __________ hundred thousand is ________ 400,000 it is nearer in value to because _______________________ 400,000 than 500,000. ______________________________. Access Common Core 1. When rounding to the nearest ten thousand, Dina determined that 967,583 will be rounded down. Explain why Dina is incorrect. Dina is incorrect because 7 is in the thousands place. The number is closer to 970,000 than 960,000. 2. When rounding to the nearest thousand, Joseph determined that 534,192 will be rounded up. Explain why Joseph is incorrect. Joseph is incorrect because 1 is in the hundreds place. The number is closer to 534,000 than 535,000. 3. When rounding to the nearest hundred thousand, Jody determined that 794,354 will be rounded down. Explain why Jody is correct. Dina is correct because 9 is in the ten thousands place. The number is closer to 800,000 than 700,000. ©2013 All rights reserved. CCSS 4th 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 1. Round to the nearest thousand. 6 4 5, 1 7 9 645,179 rounded to the nearest __________ 645,000 because thousand is ________ it is nearer in value to 645,000 than ______________________________ 646,000. ______________________________. 2. Round to the nearest hundred thousand. 6 2 0, 0 6 3 620,063 rounded to the nearest __________ hundred thousand is ________ 600,000 it is nearer in value to because _______________________ 600,000 than 700,000. ______________________________. Access Common Core 1. Choose Yes or No to indicate whether each statement is true about the number 94,632. O Yes O No 1a. 94,632 rounded to the nearest ten is 94,630. 1b. 94,632 is nearer in value to 94,000 than 95,000. O Yes O No 1c. 94,632 rounded to the nearest hundred thousand is 100,000. O Yes O No 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. O Yes O No 1b. 697,841 is nearer in value to 700,000 than 690,000. O Yes O No 1c. 697,841 rounded to the nearest thousand is 697,000. O Yes O No ©2013 All rights reserved. CCSS 4th 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 1. Round to the nearest hundred thousand. 9 4 9, 5 9 4 949,594 rounded to the nearest __________ 900,000 hundred thousand is ________ it is nearer in value to because _______________________ 900,000 than 1,000,000. ______________________________. 2. Round to the nearest ten thousand. 6 6 3, 7 8 5 663,785 rounded to the nearest __________ ten thousand is ________ 660,000 because it is nearer in value to 660,000 than ______________________________ 670,000. ______________________________. Access Common Core 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? No, I do not agree with her. The number is closer to 800,000 than 790,000. 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? Yes, I do agree with him. The number is closer to 1,000,000 than 900,000. ©2013 All rights reserved. CCSS 4th Grade Numbers and Operations in Base Ten 3.0 Round multi-digit numbers. Lesson to be used by EDI-trained teachers only.