What are we going to do?

1. Learning Objective We will add multi-digit numbers. What are we going to do? CFU Activate Prior Knowledge • Addition (+) means to put together. • The sum is the answer to an addition problem. 1. 516 + 173 2. 348 + 121 6 8 9 4 6 9 Students, you already know how to add three-digit numbers. Now, we will add multi-digit numbers. Make Connection

2. 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. • Composingis needed when the sum is 10 or more in a place-value column1. CFU Which choice shows13,562 + 4,398 lined up correctly? How do you know? A B Which addition problem needs composing? How do you know? A B Adding Multi-Digit Numbers Monique had $35,785 saved for her college fund. This month, she adds another $3,506. How much money has Monique saved? 2 7 1 3 4 2 7 1 3 4 1 3 5 6 2 1 3 5 6 2 + 6 4 3 5 8 + 6 0 3 5 2 + 4 3 9 8 + 4 3 9 8 3 5, 7 8 5 1 1 + 3, 5 0 6 3 9, 2 9 1 1 lined up and down (gesture) Vocabulary Monique has $39,291.

3. Skill Development/Guided Practice • Addition (+) means to put together. • Composing a number means moving a group of numbers to the next higher place value. • Composingis needed when the sum is 10 or more in a place-value column. CFU 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? Add multi-digit numbers. 1 Read the problem and identify2 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. Interpret3 the sum. “The sum of _______ and _______ is _______.” 1 2 2 3 3 a 3a 4 84,781 86,785 1 1 6 7 4 1 4 4 5 1 7 6 1 2 2 3 3 3 2 6 5 8 + + 8 4 7 8 1 8 6 7 8 5 62,335 52,267 1 1 1 1 1 1 5 4 8 7 3 4 8 6 7 3 2 find 3 explain Vocabulary 7 4 6 2 3 5 9 4 + + 6 2 3 3 5 5 2 2 6 7

4. Skill Development/Guided Practice (continued) • Addition (+) means to put together. • Composing a number means moving a group of numbers to the next higher place value. • Composingis needed when the sum is 10 or more in a place-value column. CFU 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? Add multi-digit numbers. 1 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. 1 2 2 3 3 a 3a 4 1 8 0, 5 4 9 + 4, 4 0 4 8 4, 9 5 3 84,953 people 4 0, 0 7 5 4 distance around Vocabulary + 1 0, 9 2 1 5 0, 9 9 6 50,996 kilometers

5. 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 1 2 3 4 Sofia solved the following addition problems. Francisco thinks that she made some mistakes. Identify any mistakes that Sofia made and correct them. 5 Sofia did not compose the numbers. Sofia did not compose the number.

6. Relevance • Addition (+) means to put together. • Composing a number means moving a group of numbers to the next higher place value. • Composingis needed when the sum is 10 or more in a place-value column. Adding multi-digit numbers will help you describe amounts. 1 35,479 + 150 35,629 Allie has 35,479 baseball cards. She was given a box of 150 more cards. How many baseball cards does she have now? Bakersfield Bears Nelson Caraveo 3B Adding multi-digit numbers will help you do well on tests. 2 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 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

7. Addition (+) means to put together. • Composing a number means moving a group of numbers to the next higher place value. • Composingis needed when the sum is 10 or more in a place-value column. Skill Closure Add multi-digit numbers. 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. 1 2 3 a Word Bank 4 82,694 additionput togethercomposingplace value sum 1 4 1 4 5 6 1 4, 4 1 4 + 2 5, 5 4 5 4 1 2 3 8 + 3 9, 9 5 9 8 2 6 9 4 39,959 people Access Common Core Which addition problems below require composing? Explain your answer. A 60,169 + 36,420 B 44,056 + 16,479 C 19,423 + 50,531 D 99,995 + 18,121 Summary Closure What did you learn today about adding multi-digit numbers? (Pair-Share) Use words from the word bank.

8. Independent Practice • Addition (+) means to put together. • Composing a number means moving a group of numbers to the next higher place value. • Composingis needed when the sum is 10 or more in a place-value column. Add multi-digit numbers. 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. 1 2 3 a 4 52,553 78,910 1 1 1 2 1 4 3 7 7 5 6 4 8 3 1 1 1 6 3 2 6 2 + 5 2 5 5 3 7 8 9 1 0 1 1 3 2, 9 3 8 + 2, 7 0 8 + 3 5, 6 4 6 $35,646

9. 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. Periodic Review 1 1 1 1 1 1a. 3a. 2a. 3b. 2b. 1b. 1c. 3c. 2c. 9 5 3 5 7 7 5 3 2 7 6 8 8 7 8 1 1 1 1 5 6 7 8 3 9 2 7 7 0 9 3 4 1 4 4 7 9 4 3 4 6 4 5 6 6 9 8 0 6 0 5 9 4 6 1 2 6 2 2 8 2 4 1 5 1 1 2 1 2 5 1 6 4 3 5 5 2 9 7 2 2 9 9 3 9 6 3 2 7 6 7 0 2 6 5 1 9 0 0 6 0 5 6 4 4 5 5 + + + + + + + + + 4 9 8 6 4 1 0 1 7 7 6 8 4 7 8 1 1 1 1 1 1 8 9 4 3 0 9 6 9 9 6 0 2 1 0 8 1

10. Periodic Review 2 4 1, 7 3 8 + 1, 9 5 4 4 3, 6 9 2 43,692 kilograms 3, 8 7 4 + 2, 1 5 3 6, 0 2 7 6,027 kilograms 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. 1. 2. 3. 1. 2. 3. 1 1 1 1 1 1 6 5 3 5 3 2 6 9 3 3 3 5 9 5 9 + 2 2 2 3 1 + 4 2 7 2 + 2 2 1 3 7 0 9 4 5 7 4 4 9 6 1 7 6 1 3 7

11. Periodic Review 3 9 7, 2 1 8 + 5, 5 7 0 1 0 2, 7 8 8 102,788 people Access Common Core 1. Describe and correct the error made in each of the addition problems. 1a. 1b. 1c. 1 1 1 1 1 1 1 1 1 1 1 1 5 2 5 3 7 6 3 2 0 6 4 3 6 2 4 2 4 1 4 1 1 5 4 8 3 2 1 2 5 0 + + + 8 7 7 8 8 8 9 7 9 9 7 5 9 8 4 Whoever solved the problems composed a ten where it wasn’t needed. 1 5 6 1 6 7 7 0 8 9 6 2 4 2 2 6 5 9 7 9 6 1 9 8 2 8 7 9 5 + + + 7 0 5 8 5 7 3 1 7 7 8 0 1 8 1

12. Access Common Core 2. Describe and correct the error made in each of the addition problems. 2a. 2b. 2c. Whoever solved the problems solved from right to left. They also did not compose tens when it was needed. 1 1 1 1 1 1 1 1 1 1 1 1 5 2 5 3 7 6 3 2 0 6 4 3 6 2 4 2 4 1 4 1 1 5 4 8 3 2 1 2 5 0 + + + 8 7 7 8 8 8 9 7 9 9 7 5 9 8 4 1 5 6 1 6 7 7 0 8 9 6 2 4 2 2 6 5 9 7 9 6 1 9 8 2 8 7 9 5 + + + 7 0 5 8 5 7 3 1 7 7 8 0 1 8 1

13. EDI – Cognitive, Teaching, and English Learner Strategies Cognitive Strategies Teaching Strategies Language Strategies Content Access Strategies