1. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview 5 th Grade Math Learning Objective: We will round decimals. Focus Standard: 5.NBT.4 Use place value understanding to round decimals to any place. Support Standard: 5.NBT.1 Recognize that in a multi-digit numbers, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. SMP 1, SMP 2, SMP 3, SMP 6, SMP 7, SMP 8 Prerequisite(s): 4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place. 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. Lesson consists of two parts in Skill Development/Guided Practice and Independent Practice. Vocabulary Academic: identify, determine, interpret Content: place, value, round 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 5 th Grade Numbers and Operations in Base Ten 4.0 Use place value understanding to round decimals 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 decimals. Make Connection 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. We will round decimals. Learning Objective Activate Prior Knowledge 9 3 6. 7 1 9 7. 5 2 6 The value of 7 in 936.71 is _______. The value of 6 in 97.526 is _______. 0.7 0.006 1. What is the value of the digit 7? 2. What is the value of the digit 6?

3. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Would 3.72 rounded to the nearest tenth round up or down? How do you know? A up B down Would 3.72 rounded to the nearest one round up or down? How do you know? A up B down In your own words, what does it mean to round a decimal number? “To round a decimal number means ______________.” CFU Rounding Decimals Concept Development To round a decimal 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. 82.53 Round 82.53 to the nearest tenth. 82.582.6 82.5582.53 82.5382.5 82.582.6 82.53 rounded to the nearest tenth is 82.5 because it is nearer in value to 82.5 than 82.6. 82.53 Round 82.53 to the nearest one. 8283 82.582.53 82.5383 8382 82.53 rounded to the nearest one is 83 because it is nearer in value to 83 than 82. 3.7 3.8 3.75 3 4 3.5

4. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. 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 decimals. 1 2 3 4 5 1 find (synonym) 2 right for a certain purpose 3 explain Vocabulary Skill Development/Guided Practice Part 1 1.Round to the nearest hundredth. 45.327 __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 2. Round to the nearest hundredth. 36.428 __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. To round a decimal 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 45.32 45.325 45.33 36.43 45.327 36.42 36.425 36.428 45.327 45.33 36.428 36.43 it is nearer in value to 45.33 than 45.32. it is nearer in value to 36.43 than 36.42.

5. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. 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 decimals. 1 2 3 4 5 3. Round to the nearest tenth. 48.640 __________ rounded to the nearest tenth is ________ because ______________________________ ______________________________. 4. Round to the nearest tenth. 67.530 __________ rounded to the nearest tenth is ________ because ______________________________ ______________________________. To round a decimal 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. 48.6 48.7 48.65 48.640 67.5 67.6 67.55 67.530 48.640 48.6 67.530 67.5 it is nearer in value to 48.6 than 48.7. it is nearer in value to 67.5 than 67.6. 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 1 find (synonym) 2 right for a certain purpose 3 explain Vocabulary Skill Development/Guided Practice (continued)

6. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. 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 decimals. 1 2 3 4 5 5. Round to the nearest one. 98.604 __________ rounded to the nearest one is ________ because ______________________________ ______________________________. 6. Round to the nearest one. 87.506 __________ rounded to the nearest one is ________ because ______________________________ ______________________________. To round a decimal 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. 98.604 98 99 98.5 98.604 99 87.506 87 88 87.5 87.506 88 it is nearer in value to 88 than 87. it is nearer in value to 99 than 98. 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. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. 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 decimals. 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 To round a decimal 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 Development/Guided Practice Part 2 1. Round to the nearest hundredth. __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 2. Round to the nearest hundredth. __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 3. Round to the nearest tenth. __________ rounded to the nearest tenth is ________ because ______________________________ ______________________________. 4. Round to the nearest tenth. __________ rounded to the nearest tenth is ________ because ______________________________ ______________________________. 3 6. 7 1 2 4 5. 6 2 3 4 figure out Vocabulary 36.712 36.71 45.623 45.62 it is nearer in value to 45.62 than 45.63. it is nearer in value to 36.71 than 36.72. 5 3. 8 5 1 7 9. 6 8 3 53.851 53.9 79.683 79.7 it is nearer in value to 53.9 than 53.8. it is nearer in value to 79.7 than 79.6.

8. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) 5. A salad cost $4.78 and a bottled water cost $0.60. Tory has $7.00, does she have enough to buy both items? 6. A thumb drive cost $12.48 and a pack of DVD cost $8.61. Carl has $18.00, does he have enough to buy both items? 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 Round to the nearest dollar to solve the following problems. $5+$1=$6 Tory has enough to buy both items. $12+$9=$21 Carl does not have enough to buy both items.

9. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Rounding decimals will help you estimate to solve real- world problems. Rounding decimals will help you do well on tests. 1 Does anyone else have another reason why it is relevant to round decimals? (Pair-Share) Why is it relevant to round decimals? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 2 Sample Test Question: 32. What is 650.287 rounded to the nearest tenth? A 650 B 650.29 C 650.58 D 650.3 Relevance To round a decimal 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. A pair of shoes costs $17.99 and a shirt costs $18.78. If Gilbert has $40, does he have enough money to buy both items?

10. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Closure Part 1 To round a decimal 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) 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 decimals. 1 2 3 4 5 1.Round to the nearest hundredth. 58.683 __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 2. Round to the nearest tenth. 95.364 __________ rounded to the nearest tenth is ________ because ______________________________ ______________________________. 58.683 58.68 58.69 58.685 95.364 95.3 95.4 95.35 58.683 58.68 95.364 95.4 it is nearer in value to 58.68 than 58.69. it is nearer in value to 95.4 than 95.3.

11. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. What did you learn today about rounding decimals? (Pair-Share) Use words from the word bank. Access Common Core Summary Closure When rounding to the nearest hundredths Isaac determined that 635.658 will be rounded down. Explain why Isaac is incorrect. To round a decimal 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 decimals. 1 2 3 4 Skill Closure Part 2 3. Round to the nearest hundredth. __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 4. Round to the nearest tenth. __________ rounded to the nearest tenth is ________ because ______________________________ ______________________________. 7 2. 2 6 8 9 3. 5 3 7 72.268 72.27 93.537 93.5 it is nearer in value to 72.27 than 72.26. it is nearer in value to 93.5 than 93.6. Word Bank round decimals place value round down round up 635.658 is nearer in value to 635.66 so it needs to be rounded down.

12. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice Part 1 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 decimals. 1 2 3 4 5 To round a decimal 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 hundredth. 92.742 __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 2. Round to the nearest hundredth. 95.366 __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 92.742 92.74 92.75 92.745 95.366 95.36 95.37 95.365 92.742 92.74 95.366 95.37 it is nearer in value to 92.74 than 92.75. it is nearer in value to 95.37 than 95.36.

13. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. 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 decimals. 1 2 3 4 5 To round a decimal 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. 3. Round to the nearest tenth. 54.285 __________ rounded to the nearest tenth is ________ because ______________________________ ______________________________. 4. Round to the nearest one. 78.832 __________ rounded to the nearest one is ________ because ______________________________ ______________________________. 54.285 54.2 54.3 54.25 78.832 78 79 78.5 54.285 54.3 78.832 79 it is nearer in value to 54.3 than 54.2. it is nearer in value to 79 than 78. Independent Practice (continued)

14. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice Part 2 1. Round to the nearest hundredth. __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 2. Round to the nearest hundredth. __________ rounded to the nearest hundredth is ________ because ______________________________ ______________________________. 3. Round to the nearest tenth. __________ rounded to the nearest tenth is ________ because ______________________________ ______________________________. 4. Round to the nearest one. __________ rounded to the nearest one is ________ because ______________________________ ______________________________. 8 2. 5 1 6 4 3. 6 5 0 82.516 82.52 43.650 43.65 it is nearer in value to 82.52 than 82.53. it is nearer in value to 43.65 than 43.66. 2 2. 7 5 3 9 3. 6 0 8 22.753 22.8 93.608 94 it is nearer in value to 22.8 than 22.7. it is nearer in value to 94 than 93. 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 decimals. 1 2 3 4 5 To round a decimal 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.

15. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. 5. A large fruit smoothie cost $3.25 and a box of peaches cost $7.73. Veronica has $12.00, does she have enough to buy both items? 6. A book cost $11.88 and a toy car cost $5.91. Peter has $17.00, does he have enough to buy both items? Round to the nearest dollar to solve the following problems. Independent Practice (continued) $3+$8=$11 Veronica has enough to buy both items. $12+$6=$18 Peter does not have enough to buy both items.

16. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 1 Access Common Core 1. Round to the nearest hundredths place. 15.683 __________ rounded to the nearest hundredths place is ________ because _______________________ ______________________________. 2. Round to the nearest hundredths place. __________ rounded to the nearest hundredths place is ________ because _______________________ ______________________________. 15.683 15.68 15.69 15.685 15.683 15.68 28.209 28.21 it is nearer in value to 15.68 than 15.69. it is nearer in value to 28.21 than 28.22. 2 8. 2 0 9 1. When rounding to the nearest tenths Dina determined that 967.583 will be rounded down. Explain why Dina is incorrect. 2. When rounding to the nearest tenths Joseph determined that 534.192 will be rounded down. Explain why Joseph is incorrect. 3. When rounding to the nearest tenths Jody determined that 794.354 will be rounded down. Explain why Jody is incorrect. 967.583 should be rounded up because it is nearer in value to 967.6 534.192 should be rounded up because it is nearer in value to 534.2 794.354 should be rounded up because it is nearer in value to 794.4

17. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 2 Access Common Core 1. Round to the nearest tenths place. 89.365 __________ rounded to the nearest tenths place is _______ because _______________________________ 2. Round to the nearest tenths place. __________ rounded to the nearest tenths place is ________ because ______________________________ 89.365 89.3 89.4 89.35 89.365 89.4 78.634 78.6 it is nearer in value to 89.4 than 89.3. it is nearer in value to 78.6 than 78.7. 7 8. 6 3 4 O Yes O No 1. Choose Yes or No to indicate whether each statement is true about the decimal number 94.632. 1a. 94.632 rounded to the nearest tenth is 94.6. 1b. 94.632 is nearer in value to 94.63 than 94.64. 1c. 94.632 rounded to the nearest one is 94. 2. Choose Yes or No to indicate whether each statement is true about the decimal number 69.841. 2a. 69.841 rounded to the nearest tenth is 69.8. 2b. 69.841 is nearer in value to 69.84 than 69.85. 2c. 69.841 rounded to the nearest one is 69. O Yes O No

18. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 3 Access Common Core 1. Round to the nearest ones place. 22.631 __________ rounded to the nearest ones place is ________ because ______________________________. 2. Round to the nearest ones place. __________ rounded to the nearest ones place is ________ because ______________________________. 22.631 22 23 22.5 22.631 23 53.207 53 it is nearer in value to 23 than 22.it is nearer in value to 53 than 54. 5 3. 2 0 7 1. A bag of carrot sticks costs $2.98 and a turkey sandwich costs $4.21. If Zoe has $10, does she have enough money to buy both items? Use rounding to explain. 2. A hat costs $7.29 and a pair of sunglasses costs $8.99. If Adrian has $20, does he have enough money to buy both items? Use rounding to explain. 3. A jacket costs $34.75 and a pair of gloves costs $8.52. If Jordon has $50, does he have enough money to buy both items? Use rounding to explain. Yes. $2.98 is nearer in value to $3 and $4.21 is nearer in value to $4. So $2.98 + $4.21 is approximately $3 + $4 = $7 which is less than $10. Yes. $7.29 is nearer in value to $7 and $8.99 is nearer in value to $9. So $7.29 + $8.99 is approximately $7 + $9 = $16 which is less than $20. Yes. $34.75 is nearer in value to $35 and $8.52 is nearer in value to $9. So $34.75 + $8.52 is approximately $35 + $9 = $44 which is less than $50.

19. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will round decimals. Elaboration Targeted Vocabulary Academic identify, interpret, determine, Content place, value, round Support appropriate Demonstration Vocabulary Strategy Multiple-Meaning Synonym identify Definition interpret, determine, appropriate, place, value, round 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

20. CCSS 5 th Grade Numbers and Operations in Base Ten 4.0 Round decimals. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Blank Page