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What are we going to do?

Learning Objective. We will subtract multi-digit numbers. What are we going to do?. CFU. Activate Prior Knowledge. Subtraction ( - ) means to take away . The difference is the answer to a subtraction problem. 1. 576 - 413. 2. 348 - 121. 1. 6. 3. 2. 2. 7.

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What are we going to do?

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  1. Learning Objective We will subtract multi-digit numbers. What are we going to do? CFU Activate Prior Knowledge • Subtraction(-) means to take away. • The difference is the answer to a subtraction problem. 1. 576 - 413 2. 348 - 121 1 6 3 2 2 7 Students, you already know how to subtract three-digit numbers. Now, we will subtract multi-digit numbers. Make Connection

  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. • Decomposing is needed when the bottom digit is greater than the top digit in a place-value column1. 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 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 1 3 5 7 - 2 7 5 3 1 - 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 1 lined up and down (gesture) Vocabulary Monique has $27,468 left.

  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. • Decomposing is needed when the bottom digit is greater than the top digit in a place-value column. CFU 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? Subtract multi-digit numbers. 1 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 2 3 3 a 3a 4 58,131 42,129 6 8 7 6 4 1 4 4 5 9 6 7 1 1 2 1 3 2 3 3 2 6 8 5 - - 5 8 1 3 1 4 2 1 2 9 47,411 45,082 5 4 5 4 8 7 3 4 8 6 7 6 1 1 2 find 3 explain Vocabulary 7 4 6 2 3 5 9 4 - - 4 7 4 1 1 4 5 0 8 2

  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. • Decomposing is needed when the bottom digit is greater than the top digit in a place-value column. CFU 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? Subtract multi-digit numbers. 1 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 2 3 3 a 3a 4 7 8 0, 5 4 9 1 - 5, 4 1 3 7 5, 1 3 6 75,136 people 3 9 4 distance around Vocabulary 4 0, 0 7 5 1 1 - 1 0, 9 2 1 29,154 kilometers 2 9, 1 5 4

  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 Marcella solved the following addition problems. Flavia thinks that she made some mistakes. Identify any mistakes that Marcella made and correct them. Marcella did not decompose this number. 5 Marcella did not decompose these numbers.

  6. Relevance • Subtraction(-) means to take away. • Decomposing a number means moving a group of numbers to the next lower place value. • Decomposing is needed when the bottom digit is greater than the top digit in a place-value column. Subtracting multi-digit numbers will help you describe amounts. 1 35,479 - 150 35,329 Alex has 35,479 baseball cards. He gave away a box of 150 of his cards. How many baseball cards does he have now? Bakersfield Bears Nelson Caraveo 3B Subtracting multi-digit numbers will help you do well on tests. 2 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 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

  7. Subtraction(-) means to take away. • Decomposing a number means moving a group of numbers to the next lower place value. • Decomposing is 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 20,218 subtract difference place value decompose 4 0 0 1 4, 4 1 4 1 1 4 1 4 5 6 1 - 5, 3 0 5 2 1 2 3 8 - 9, 1 0 9 2 0 2 1 8 9,109 people Access Common Core Which subtraction problems below require decomposing? Explain your answer. A and B have digits in the bottom number that are larger than those in the top number. 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.

  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. 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 10,321 72,386 5 2 1 4 3 7 1 7 5 6 4 8 1 1 1 1 6 3 2 6 2 - 1 0 3 2 1 7 2 3 8 6 4 15 13 3 5, 6 4 6 1 1 1 - 4, 7 5 8 - 3 0, 8 8 8 $30,888

  9. 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 8 5 2a. 1a. 3a. 2b. 1b. 3b. 3c. 2c. 1c. 1 1 3 0 0 1 2 6 3 4 9 7 4 0 3 3 8 4 4 6 3 7 5 5 7 8 9 7 9 4 4 0 1 3 7 4 9 3 9 9 6 6 5 4 7 6 6 9 0 8 8 6 1 5 6 2 6 4 8 8 2 2 8 5 1 1 1 1 2 1 2 1 5 2 4 2 7 9 5 2 3 3 2 2 6 3 7 9 9 9 6 1 6 0 5 2 7 0 8 1 6 6 0 4 5 5 5 0 - - - - - - - - - 2 1 4 6 4 9 2 2 0 1 5 8 1 3 1 4 8 2 1 1 1 5 7 6 0 0 7 2 3 8 8 5 7 1 2 2

  10. Periodic Review 2 4 1, 7 3 8 - 1, 9 5 4 3 9, 7 8 4 39,784 kilograms 3, 8 7 4 - 2, 1 5 3 1, 7 2 1 1,721 kilograms 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. 6 2 7 1 8 8 5 1. 2. 3. 4 2 5 6 5 7 5 3 2 3 9 6 2 3 5 7 5 9 1 1 1 1 - 2 8 2 5 1 - 4 2 7 1 8 - 2 2 1 3 7 8 9 7 4 8 9 2 1 3 5 3 5 3 4

  11. Periodic Review 3 8 7, 5 1 9 - 6, 5 8 4 8 0, 9 3 5 80,935 stamps Access Common Core 1. Describe and correct the error made in each of the subtraction problems. 1a. 1b. 1c. 2 2 5 3 7 6 3 2 0 6 4 3 6 2 4 1 4 1 4 1 1 5 4 8 3 1 2 5 0 - - - 2 4 1 6 1 4 5 2 2 8 3 2 4 3 4 Whoever solved the problems never decomposed numbers.

  12. Access Common Core 2. Describe and correct the error made in each of the subtraction problems. 2a. 2b. 2c. Whoever solved the problems subtracted the smaller digit from the larger digit. 1 1 5 6 1 6 7 7 0 8 9 6 2 4 2 2 5 9 7 9 6 1 9 8 2 8 7 9 5 - - - 1 0 3 6 3 7 1 1 1 1 4 6 3 7 3

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

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