We will subtract multi-digit numbers.

1. Name Learning Objective We will subtract multi-digit numbers. CFU What are we going to do? Activate Prior Knowledge • Subtraction(-) means to take away. • The difference is the answer to a subtraction problem. 1. 576 - 413 2. 348 - 121 Make Connection Students, you already know how to subtract three-digit numbers. Now, we will subtract multi-digit numbers.

2. Concept Development • Subtraction(-) means to take away. • The difference is the answer to a subtraction problem. • To subtract, numbers are lined up by the place value of their digits. • Decomposing a number means moving a group of numbers to the next lower place value. • Decomposingis needed when the bottom digit is greater than the top digit in a place-value column1. Subtracting Multi-Digit Numbers Monique had $36,785 saved for her college fund. Yesterday, she withdrew $9,317 for tuition. How much money does Monique have left? 6 4 3 5 8 6 4 3 5 8 1 3 5 6 2 1 3 5 6 2 - 2 7 5 3 1 - 2 1 3 5 7 - 4 3 9 8 - 4 3 9 8 2 7 3 6, 7 8 5 1 1 - 9, 3 1 7 2 7, 4 6 8 Monique has $27,468 left. CFU Which choice shows13,562 - 4,398 lined up correctly? How do you know? A B Which subtraction problem needs decomposing? How do you know? A B Vocabulary 1 lined up and down (gesture)

3. Skill Development/Guided Practice • Subtraction(-) means to take away. • Decomposing a number means moving a group of numbers to the next lower place value. • Decomposingis needed when the bottom digit is greater than the top digit in a place-value column. Subtract multi-digit numbers. Read the problem and identify2 what is being subtracted, if necessary. Line up the numbers by the place value of their digits, if necessary. Subtract the digit in each place value. Hint: Start from the ones place. Decomposea number, if needed. Hint: Move a group of numbers to the next lower place value. Interpret3 the difference. “The difference of _______ and _______ is _______.” 1 2 3 a 4 7 6 4 1 4 4 9 5 7 6 1 2 3 2 3 3 6 2 5 8 - - - - How did I/you identify what is being subtracted? How did I/you line up the digits by place value? How did I/you subtract each digit? How did I/you decompose a number? CFU 2 find 3 explain Vocabulary 1 2 3 3a

4. Skill Development/Guided Practice (continued) • Subtraction(-) means to take away. • Decomposing a number means moving a group of numbers to the next lower place value. • Decomposingis needed when the bottom digit is greater than the top digit in a place-value column. Subtract multi-digit numbers. Read the problem and identify what is being subtracted, if necessary. Line up the numbers by the place value of their digits, if necessary. Subtract the digit in each place value. Hint: Start from the ones place. Decomposea number, if needed. Hint: Move a group of numbers to the next lower place value. Interpret the difference. Hint: Answer the question. 1 2 3 a 4 4 distance around Vocabulary

5. Skill Development/Guided Practice (continued) Marcella solved the following addition problems. Flavia thinks that she made some mistakes. Identify any mistakes that Marcella made and correct them. 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 5

6. Relevance • Subtraction(-) means to take away. • Decomposing a number means moving a group of numbers to the next lower place value. • Decomposingis needed when the bottom digit is greater than the top digit in a place-value column. 1 Subtracting multi-digit numbers will help you describe amounts. Alex has 35,479 baseball cards. He gave away a box of 150 of his cards. How many baseball cards does he have now? 35,479 - 150 35,329 Sample Test Question: 72. Jen has 23,182 stamps. If she gives away 1,438, how many stamps will she have left? A 24,510 B 21,744 C 22,744 D 24,620 2 Subtracting multi-digit numbers will help you do well on tests. Does anyone else have another reason why it is relevant to subtract multi-digit numbers? (Pair-Share) Why is it relevant to subtract multi-digit numbers? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU

7. Subtraction(-) means to take away. • Decomposing a number means moving a group of numbers to the next lower place value. • Decomposingis needed when the bottom digit is greater than the top digit in a place-value column. Skill Closure Subtract multi-digit numbers. Read the problem and identify what is being subtracted, if necessary. Line up the numbers by the place value of their digits, if necessary. Subtract the digit in each place value. Hint: Start from the ones place. Decomposea number, if needed. Hint: Move a group of numbers to the next lower place value. Interpret the difference. Hint: “The difference of ___ and ___ is ___.” or Answer the question. 1 2 3 a Word Bank 4 subtract difference place value decompose 4 1 4 5 6 2 1 2 3 8 - Access Common Core Which subtraction problems below require decomposing? Explain your answer. A 60,169 - 36,420 B 44,056 - 16,479 C 79,853 - 50,531 D 99,995 - 18,121 ________________________________________________________ ________________________________________________________ Summary Closure What did you learn today about subtracting multi-digit numbers? (Pair-Share) Use words from the word bank. Day 1 _______________________________________ ____________________________________________ Day 2 _______________________________________ ____________________________________________

8. Name 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. Subtract multi-digit numbers. Read the problem and identify what is being subtracted, if necessary. Line up the numbers by the place value of their digits, if necessary. Subtract the digit in each place value. Hint: Start from the ones place. Decomposea number, if needed. Hint: Move a group of numbers to the next lower place value. Interpret the difference. Hint: “The difference of ___ and ___ is ___.” or Answer the question. 1 2 3 a 4 2 1 4 3 7 1 1 1 1 6 - -

9. Name Access Common Core Before completing the problems below, identify the subtraction problems that will need decomposing. In which place value is decomposing needed? Explain how you know a subtraction problem will need decomposing. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ Periodic Review 1 1a. 1b. 1c. 7 9 3 8 7 5 5 7 6 4 4 9 0 3 1 4 9 7 6 9 4 9 6 3 7 5 6 8 6 5 6 8 0 6 1 9 4 8 5 8 2 2 2 8 6 1 2 1 2 1 1 9 5 2 2 3 2 4 5 7 3 7 9 2 6 9 9 2 3 0 6 7 8 2 0 6 5 1 0 5 0 5 6 5 4 6 1 - - - - - - - - - 2a. 2b. 2c. 3a. 3b. 3c.

10. Name Periodic Review 2 Access Common Core Lilia spilled White-Out on her math homework. Help Lilia fix her homework by filling in the missing numbers. Explain how you knew which numbers were missing. 1. 2. 3. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________

11. Name Periodic Review 3 Access Common Core 1. Describe and correct the error made in each of the subtraction problems. 1a. 1b. 1c. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________ 2. Describe and correct the error made in each of the subtraction problems. 2a. 2b. 2c. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________

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