we will subtract multi-digit numbers

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.

We will subtract multi-digit numbers.

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

CFUCFU

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

NameLearning 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.

©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.

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

VocabularyVocabulary

Concept DevelopmentConcept Development

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

CFU CFU

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.

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

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?

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.

7 8 53 1 74 6 8

6,39,7,2

7211




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?

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

1

3a

23

2 find3 explain

2 find3 explain


Subtract multi-digit numbers.1Read 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 _______.”

a

23

4

Skill Development/Guided Practice

Skill Development/Guided Practice

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

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 Development/Guided Practice (continued)


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.

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.


Interpret the difference. Hint: Answer the question.

a

23

4

4 distance around4 distance around








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?

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

4

1

32

5




Subtracting multi-digit numbers will help you describe amounts.

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

1

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

2

RelevanceRelevance

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





Subtract multi-digit numbers.1Read 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: “The difference of ___ and ___ is ___.” or Answer the question.

a

23

4

________________________________________________________

________________________________________________________

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

Day 1 _______________________________________

____________________________________________

Day 2 _______________________________________

____________________________________________

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

Which subtraction problems below require decomposing? Explain your answer.99,995

18,12179,853

50,53144,056

16,47960,169

36,420A B C D


Word Bank

subtractdifference

place valuedecompose




NameIndependent Practice

Independent Practice

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

Subtract multi-digit numbers.1Read 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: “The difference of ___ and ___ is ___.” or Answer the question.

a

23

4




________________________________________________________________

________________________________________________________________

________________________________________________________________

NameAccess Common Core

Access Common Core

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




NamePeriodic Review 2

Periodic Review 2

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.


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.

________________________________________________________________

________________________________________________________________

________________________________________________________________

3. 2. 1.




NamePeriodic Review 3

Periodic Review 3


________________________________________________________________

________________________________________________________________

________________________________________________________________

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.

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

2c. 2b. 2a.

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

1c. 1b. 1a.

________________________________________________________________

________________________________________________________________

________________________________________________________________




Blank Page

we will subtract multi-digit numbers

Documents