What are we going to do?

CCSS 4th Grade Numbers and Operations in Base Ten 4.2 Fluently add and subtract multi-digit whole

numbers using the standard algorithm.Lesson to be used by EDI-trained teachers only.

READY TO TEACHSM EDI® Lessons©2013 All rights reserved.

What are we going to do?What are we going to do?

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Students, you already know how to subtract three-digit numbers. Now, we will subtract multi-digit numbers.

Students, you already know how to subtract three-digit numbers. Now, we will subtract multi-digit numbers.

Make ConnectionMake Connection

We will subtract multi-digit numbers. Learning Objective

Learning Objective

Activate Prior Knowledge

Activate Prior Knowledge

Subtraction () means to take away. • The difference is the answer to a subtraction problem.

348 121

576 413

1. 2.

3 6 1 7 2 2

©2013 All rights reserved.

CCSS 4th Grade Numbers and Operations in Base Ten 4.2 Subtract multi-digit numbers.

Lesson to be used by EDI-trained teachers only.

Subtracting Multi-Digit Numbers

1 lined up and down (gesture)1 lined up and down (gesture)

VocabularyVocabulary

Concept DevelopmentConcept Development

Monique had $36,785 saved for her college fund. Yesterday, she withdrew $9,317 for tuition. How much money does Monique have left?

Monique had $36,785 saved for her college fund. Yesterday, she withdrew $9,317 for tuition. How much money does Monique have left?

Monique has $27,468 left.

Which choice shows 13,562 4,398 lined up correctly? How do you know?

A

B

Which subtraction problem needs decomposing? How do you know?

A

B

Which choice shows 13,562 4,398 lined up correctly? How do you know?

A

B

Which subtraction problem needs decomposing? How do you know?

A

B

CFUCFU

1 3 5 6 2 4 3 9 8

1 3 5 6 2 4 3 9 8

6 4 3 5 8 2 1 3 5 7

6 4 3 5 8 2 7 5 3 1

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.

7 8 53 1 74 6 8

6,39,7,2

7211




Skill Development/Guided Practice

Skill Development/Guided Practice

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.

Decompose a number, if needed. Hint: Move a group of numbers to the next lower place value.

Interpret3 the difference. “The difference of _______ and _______ is _______.”

Subtract multi-digit numbers.123

a

4

2 find3 explain

2 find3 explain


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?


CFUCFU

2

3a

3

1

1. 71,456 13,325 = 2. 64,497 22,368 =

3. 54,873 7,462 = 4. 48,676 3,594 =

3 3 2541

17 6

5 2 3 6944

26 7

8

7 4 67845 3

2 3 5 97684 6

4

13185 92124

58,131 42,129

11474

47,411

28054

45,082

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.

61

81

41

51




Skill Development/Guided Practice (continued)


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.


Interpret the difference. Hint: Answer the question.


a

4



CFUCFU

2

3a

3

1

5. The population of Turlock, CA , is 80,549 people. If 5,413 people were to move away, how many people would be left in Turlock?

____________________ would be left in Turlock.

6. The circumference4 of Earth is 40,075 kilometers. The circumference of the Moon is 10,921 kilometers. How many more kilometers is the circumference of the Earth than the Moon?

The circumference of the Earth is ______________________ more than the circumference of the Moon.

8 0, 5 4 95, 4 1 3

6315,775,136 people

4 0, 0 7 51 0, 9 2 1

4519,229,154 kilometers


4 distance around4 distance around


71

319

1






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.

Marcella did not decompose these numbers.

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?

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?

CFUCFU

2

1

3

4

5




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?

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?

CFUCFU

RelevanceRelevance

Subtracting multi-digit numbers will help you describe amounts.

Subtracting multi-digit numbers will help you do well on tests.

1

2

Alex has 35,479 baseball cards. He gave away a box of 150 of his cards. How many baseball cards does he have now?

Alex has 35,479 baseball cards. He gave away a box of 150 of his cards. How many baseball cards does he have now?

35,479150

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 24,510B 21,744 C 22,744D 24,620






Interpret the difference. Hint: “The difference of ___ and ___ is ___.” or Answer the question.


a

4

What did you learn today about subtracting multi-digit numbers? (Pair-Share) Use words from the word bank.

Skill ClosureSkill Closure

Access Common CoreAccess Common Core

Summary ClosureSummary Closure

1. 41,456 21,238 = 2. The population of Tehachapi, CA, is 14,414 people. If 5,305 people moved away, how many people would be left in Tehachapi?

________________ would be left in Tehachapi.

1 2 3541

24 6

8

81202 9,109 people

Which subtraction problems below require decomposing? Explain your answer.

20,218

1 4, 4 1 45, 3 0 5

9019,

99,99518,121

79,85350,531

44,05616,479

60,16936,420

A B C D


41

01

01

Word Bank

subtractdifference

place valuedecompose

A and B have digits in the bottom number that are larger than those in the top number.




Independent PracticeIndependent Practice



Interpret the difference. Hint: “The difference of ___ and ___ is ___.” or Answer the question.


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 11,116 = 2. 75,648 3,262 =

3. James has $35,646 saved. This week he spent $4,758. How much money does James have left?

James has ____________________ left.

1 1 1341

12 7

6

12301

10,321

3 2 64657 8

2

68327

72,386

3 5, 6 4 64, 7 5 8

8880,3$30,888

51

4151113

1




Periodic Review 1Periodic Review 1


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.

1c. 1b. 1a.

7 9 56973 8

6 5 9 66396 2

5 4 2 7064

15 8

0

2c. 2b. 2a.

9 2 0660

25 4

0 2 7 88949 2

1 3 3 2541

17 6

5

3c. 3b. 3a.

5 9 1153

17 5

5 2 3 0964

18 2

4 2 6 6879

27 8

6

21003 79436 83304

46412 10229 13185

00675 88327 22175

81

51

41

41

21

41

81





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. A humpback whale weighs 41,738 kilograms. A great white shark weighs 1,954 kilograms. How much more does a humpback whale weigh than a great white shark?

The whale weighs ________________________ more.

2. A male hippopotamus weighs 3,874 kilograms. A female hippopotamus weighs 2,153 kilograms. How much more does a male hippopotamus weigh?

The male hippopotamus weighs ________________________ more.


4 1, 7 3 81, 9 5 4

4879,339,784 kilograms

3, 8 7 42, 1 5 3

1271,1,721 kilograms






1. Neil has a collection of 87,519 stamps. He gives 6,584 of his stamps to his friend Jamie. How many stamps does Neil have left?

Neil has ________________________ left.

1. Describe and correct the error made in each of the subtraction problems.

1c. 1b. 1a.

8 7, 5 1 96, 5 8 4

5390,8

80,935 stamps

Whoever solved the problems never decomposed numbers.





2. Describe and correct the error made in each of the subtraction problems.

2c. 2b. 2a.

Whoever solved the problems subtracted the smaller digit from the larger digit.




EDI – Cognitive, Teaching, and English Learner Strategies

Learning Objective: We will subtract multi-digit numbers.

Elaboration

Targeted Vocabulary

Academic column, identify, interpret

Content subtraction, difference, decomposing, circumference

Support

Demonstration

VocabularyStrategy

Multiple-Meaning

Synonym identify, interpretDefinition column, subtraction, difference, decomposing, circumference

Homophone

Internal Context Clue

Listen, Speak Similar Sounds

Write Writing

Read Tracked Reading

Comprehensible Input

Cognates

Contextual Clues

Graphic Organizer

Contextualized Definitions

Pictures

Language Strategies

Cognitive Strategies Teaching Strategies

Content Access Strategies

What are we going to do?

Documents

grade numbers

group of numbers

lower place value

placevalue column1

editrained teachers

subtraction problem

properties of operations

standard algorithm