1. 4 th Grade Math Learning Objective: We will add multi-digit numbers READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview Focus Standard:4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. Support Standard:SMP 1, SMP 2, SMP 3, SMP 6, SMP 7, SMP 8 Prerequisite(s):3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. Manipulative(s): Special Instructions: Vocabulary Academic:column, identify, interpret Content:addition, sum, composing 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 4.1 Fluently add and subtract multi-digit whole numbers using the standard algorithm. 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 add three-digit numbers. Now, we will add multi-digit numbers. Make Connection We will add multi-digit numbers. Learning Objective Activate Prior Knowledge Addition (+) means to put together. The sum is the answer to an addition problem. 348  121 516  173 1.2. 9 8 6 9 6 4

3. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Adding Multi-Digit Numbers 1 lined up and down (gesture) Vocabulary Concept Development Addition (  ) means to put together. The sum is the answer to an addition problem. To add, numbers are lined up by the place value of their digits. Composing a number means moving a group of numbers to the next higher place value. Composing is needed when the sum is 10 or more in a place-value column 1. Monique had $35,785 saved for her college fund. This month, she adds another $3,506. How much money has Monique saved? 785 506  291 5,3 3, 9,3 11 Monique has $39,291. Which choice shows 13,562 + 4,398 lined up correctly? How do you know? A B Which addition problem needs composing? How do you know? A B CFU 1 3 5 6 2 + 4 3 9 8 1 3 5 6 2 + 4 3 9 8 2 7 1 3 4 + 6 4 3 5 8 2 7 1 3 4 + 6 0 3 5 2

4. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice Read the problem and identify 2 what is being added, if necessary. Line up the numbers by the place value of their digits, if necessary. Add the digit in each place value. Hint: Start from the ones place. Compose a number, if needed. Hint: Move a group of numbers to the next higher place value. Interpret 3 the sum. “The sum of _______ and _______ is _______.” Add multi-digit numbers. 1 2 3 a 4 2 find 3 explain Vocabulary How did I/you identify what is being added? How did I/you line up the digits by place value? How did I/you add each digit? How did I/you compose a number, if needed? CFU 2 3a 3 1 Addition (  ) means to put together. Composing a number means moving a group of numbers to the next higher place value. Composing is needed when the sum is 10 or more in a place-value column. 1. 71,456 + 13,325 = 2. 64,417 + 22,368 = 3. 54,873 + 7,462 = 4. 48,673 + 3,594 =  332 541 1 76 5  236 144 2 67 8  746 78453 2  359 76843 4 1 1 87485 1 8768 84,78186,785 53 1 3 1 2 1 6 62,335 76 1 2 1 2 1 5 52,267

5. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) Read the problem and identify what is being added, if necessary. Line up the numbers by the place value of their digits, if necessary. Add the digit in each place value. Hint: Start from the ones place. Compose a number, if needed. Hint: Move a group of numbers to the next higher place value. Interpret the sum. Hint: Answer the question. Add multi-digit numbers. 1 2 3 a 4 How did I/you identify what is being added? How did I/you line up the digits by place value? How did I/you add each digit? How did I/you compose a number, if needed? CFU 2 3a 3 1 Addition (  ) means to put together. Composing a number means moving a group of numbers to the next higher place value. Composing is needed when the sum is 10 or more in a place-value column. 5. The population of Turlock, CA, is 80,549 people. The population of Denair, CA, is 4,404 people. How many people live in Turlock and Denair altogether? ____________________ live in Turlock and Denair. 6. The circumference 4 of Earth is 40,075 kilometers. The circumference of the Moon is 10,921 kilometers. How many kilometers is it around the Earth and Moon altogether? It is ________________________ around the Earth and Moon. 8 0, 5 4 9 4, 4 0 4  3594,8 1 84,953 people 4 0, 0 7 5 1 0, 9 2 1  6990,5 50,996 kilometers 4 distance around Vocabulary

6. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. 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 Sofia solved the following addition problems. Francisco thinks that she made some mistakes. Identify any mistakes that Sofia made and correct them. Sofia did not compose the number. Sofia did not compose the numbers.

7. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Does anyone else have another reason why it is relevant to add multi-digit numbers? (Pair- Share) Why is it relevant to add multi-digit numbers? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU Relevance Adding multi-digit numbers will help you describe amounts. Adding multi-digit numbers will help you do well on tests. 1 2 Addition (  ) means to put together. Composing a number means moving a group of numbers to the next higher place value. Composing is needed when the sum is 10 or more in a place-value column. Allie has 35,479 baseball cards. She was given a box of 150 more cards. How many baseball cards does she have now? 35,479  150 35,629 Sample Test Question: 71. Joe has 1,236 stamps. If he gets 1,056 more, how many stamps will he have? A 2,192 B 2,292 C 226 D 180

8. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. What did you learn today about adding multi-digit numbers? (Pair-Share) Use words from the word bank. Skill Closure Access Common Core Summary Closure Addition (  ) means to put together. Composing a number means moving a group of numbers to the next higher place value. Composing is needed when the sum is 10 or more in a place-value column. 1. 41,456 + 41,238 = 2. The population of Tehachapi, CA, is 14,414 people. The population of Wasco, CA, is 25,545 people. How many people live in Tehachapi and Wasco altogether? ________________ live in Tehachapi and Wasco.  123 541 4 46 8 4 1 9628 39,959 people Which addition problems below require composing? Explain your answer. 82,694 1 4, 4 1 4 2 5, 5 4 5  9599,3 99,995  18,121 19,423  50,531 44,056  16,479 60,169  36,420 ABCD Word Bank addition put together composing place value sum Read the problem and identify what is being added, if necessary. Line up the numbers by the place value of their digits, if necessary. Add the digit in each place value. Hint: Start from the ones place. Compose a number, if needed. Hint: Move a group of numbers to the next higher place value. Interpret the sum. Hint: “The sum of ___ and ___ is ___.” or Answer the question. Add multi-digit numbers. 1 2 3 a 4

9. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Independent Practice Read the problem and identify what is being added, if necessary. Line up the numbers by the place value of their digits, if necessary. Add the digit in each place value. Hint: Start from the ones place. Compose a number, if needed. Hint: Move a group of numbers to the next higher place value. Interpret the sum. Hint: “The sum of ___ and ___ is ___.” or Answer the question. Add multi-digit numbers. 1 2 3 a 4 Addition (  ) means to put together. Composing a number means moving a group of numbers to the next higher place value. Composing is needed when the sum is 10 or more in a place-value column. 1. 21,437 + 31,116 = 2. 75,648 + 3,262 = 3. James has $32,938 saved. Working over the summer, he earned another $2,708. How much money has James saved now? James has saved ____________________.  111 341 3 27 6 3 1 5525 52,553  326 46578 2 01 1 9 1 87 78,910 3 2, 9 3 8 2, 7 0 8  6465,3 $35,646 1 1

10. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Access Common Core Before completing the problems below, identify the addition problems that will need composing. In which place value is composing needed? Explain how you know an addition problem will need composing. 1c.1b.1a.  795 047 5 31 6  596 63962 5  427 064 1 58 0 2c.2b.2a.  920 660 2 24 0  679 89492 4  332 541 1 76 5 3c.3b.3a.  591 153 1 75 5  230 964 1 82 4  266 449 2 72 6 753597235787886 4689467710187481 034986996980120 1 1 1 11 11 1 1 11 1 1 1

11. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Access Common Core Julio spilled White-Out on his math homework. Help Julio fix his homework by filling in the missing numbers. Explain how you knew which numbers were missing. 3.2.1. 1. A humpback whale weighs 41,738 kilograms. A great white shark weighs 1,954 kilograms. How many kilograms do the whale and shark weigh altogether? The whale and shark weigh ________________________. 2. A male hippopotamus weighs 3,874 kilograms. A female hippopotamus weighs 2,153 kilograms. How many kilograms do the two hippopotamuses weigh? The two hippopotamuses weigh ________________________. Periodic Review 2 4 1, 7 3 8 1, 9 5 4  2963,4 43,692 kilograms 3, 8 7 4 2, 1 5 3  7206, 6,027 kilograms +223 6 3 5 457 1 0 9 6 2 9 1 1 +213 5 3 2 137 1 4 9 3 2 6 1 7 3. +272 5 33 617 1 4 9 5 4 9 1 2.1.

12. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Access Common Core 1. The population of Clovis, CA, is 97,218 people. The population of Fowler, CA, is 5,570 people. How many people live in Clovis and Fowler altogether? ________________________ live in Clovis and Fowler. 1. Describe and correct the error made in each of the addition problems. 1c.1b.1a. 9 7, 2 1 8 5, 5 7 0  8872,1 0 102,788 people + 548 023 1 66 3 1111 1111 1111 + 125 26344 02 + 414 352 2 57 1 9979848957 88778 + 597 165 6 16 9 + 619 80779 8 + 879 242 2 62 5 585077713718108 Whoever solved the problems composed a ten where it wasn’t needed.

13. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. Access Common Core 2. Describe and correct the error made in each of the addition problems. 2c.2b.2a. + 548 023 1 66 3 1111 1111 1111 + 125 26344 02 + 414 352 2 57 1 9979848957 88778 + 597 165 6 16 9 + 619 80779 8 + 879 242 2 62 5 585077713718108 Whoever solved the problems solved from right to left. They also did not compose tens when it was needed.

14. ©2013 All rights reserved. CCSS 4 th Grade Numbers and Operations in Base Ten 4.1 Add multi-digit numbers. Lesson to be used by EDI-trained teachers only. EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will add multi-digit numbers. Elaboration Targeted Vocabulary Academic column, identify, interpret Content addition, sum, composing Support Demonstration Vocabulary Strategy Multiple-Meaning Synonym identify, interpret Definition column, addition, sum, composing, 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