Transcript 4.NBT.6

Learning Objective
We will recognize1 place and value in a multi-digit number.
CFU
What are we going to do?
What does recognize mean?
Recognize means __________.
Activate Prior Knowledge
What is the value of 5 in each of the numbers below?
A. 571
500
Make Connection
B. 751
50
Students, you already know
that digits can have a different
value depending on their place
in a number. Now, we will
recognize place and value in a
multi-digit number.
Vocabulary
1
READY TO TEACHSM EDI® Lessons
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know when you see it
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize that in a multi-digit whole number, a digit in one place
represents ten times as much as it represents in the place to its right.
Lesson to be used by EDI-trained teachers only.
Concept Development
Place value: The place is the position2 of a digit in a number.
The value is the worth of the digit due to its position.
• A digit in any place represents3 10 times as much as it does in the place to its right.
Place Value
Animated
CFU
7 8 2,2 5 4
× 10
Value of 2,000.
Value of 200.
Which place is the digit 4 in the
number 74,532?
How do you know?
A tens
B hundreds
C thousands
Explain the difference in value
of the digit 5 in the numbers
735 and 753.
In your own words, what is
place value?
Place value is __________.
Vocabulary
2
3
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location
stands for
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
Place value: The place is the position of a digit in a number.
The value is the worth of the digit due to its position.
• A digit in any place represents 10 times as much as it does in the place to its right.
CFU
Recognize place and value in a multi-digit number.
1 Read the question to find which digit to identify4. (underline)
2 Identify that digit in the number. (circle)
3 Identify the place of the digit. (write) Hint: Use the place value chart.
4 Determine5 the value of the digit. (write)
1. What is the value of the digit 1?
1 7 2, 0 6 3
3 How did I/you identify the
place of the digit?
4 How did I/you determine the
value of the digit?
2. What is the value of the digit 5?
6 5 0, 2 3 9
hundred thousands place.
1 is in the ______________
ten thousands place.
5 is in the ______________
The value of 1 in 172,063 is _________.
100,000
The value of 5 in 650,239 is _________.
50,000
3. What is the value of the digit 7?
4. What is the value of the digit 7?
9 3 6, 7 1 5
3 9 7, 5 2 6
hundreds
7 is in the ______________
place.
thousands
7 is in the ______________
place.
The value of 7 in 936,715 is _______.
700
The value of 7 in 397,526 is _______.
7,000
Vocabulary
4
5
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find (synonym)
figure out
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
Place value: The place is the position of a digit in a number.
The value is the worth of the digit due to its position.
• A digit in any place represents 10 times as much as it does in the place to its right.
CFU
Recognize place and value in a multi-digit number.
1 Read the question to find which digit to identify. (underline)
2 Identify that digit in the number. (circle)
3 Identify the place of the digit. (write) Hint: Use the place value chart.
4 Determine the value of the digit. (write)
5. Which digit is in the ten thousands place?
7 5 6, 3 0 4
5 is in the _______________
ten thousands place.
___
5 in 756,304 is __________.
50,000
The value of ___
7. Which digit is in the hundred thousands place?
7 4 9, 5 2 3
7 is in the _______________
hundred thousands place.
___
7 in 749,523 is __________.
700,000
The value of ___
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3 How did I/you identify the
place of the digit?
4 How did I/you determine the
value of the digit?
6. Which digit is in the ten thousands place?
1 3 9, 7 6 8
3 is in the _______________
ten thousands place.
___
3 in 139,768 is __________.
30,000
The value of ___
8. Which digit is in the hundred thousands place?
3 8 5, 9 1 7
3 is in the hundred
thousands place.
___
_______________
300,000
3 in 385,917 is __________.
The value of ___
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
CFU
1 How did I/you determine what
the question is asking?
2 How did I/you determine the
3
4
5
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?
9. Compare the value of the digit 3 in 321,456 to the value of the digit 3
in 231,687.
The
value of the 3 in 321,456 is 10 times as much as in 231,687.
_________________________________________________________
10. Compare the value of the digit 6 in 64,287 to the value of the digit 6
in 46,287.
_________________________________________________________
The
value of the 6 in 64,287 is 10 times as much as in 46,287.
11. Compare the value of the digit 8 in 87,196 to the value of the digit 8
in 78,161.
_________________________________________________________
The
value of the 8 in 87,196 is 10 times as much as in 78,161.
12. Compare the value of the digit 3 in 137,126 to the value of the digit
3 in 123,216.
_________________________________________________________
The
value of the 3 in 137,126 is 10 times as much as in 123,216.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Relevance
Place value: The place is the position of a digit in a number.
The value is the worth of the digit due to its position.
• A digit in any place represents 10 times as much as it does in the place to its right.
1 Recognizing place and value of multi-digit numbers will help you understand
the value of money.
A hundred dollar bill is
worth $100
A ten dollar bill is worth
$10
A hundred dollar bill is worth 10 times as much as a
ten dollar bill.
2 Recognizing place and value of multi-digit numbers will help you do well on tests.
Sample Test Question:
10. How much greater is the value of the digit 5 in 583,607
than the value of the digit 5 in 352,601?
A
B
C
D
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10 times
100 times
1,000 times
10,000 times
CFU
Does anyone else have another
reason why it is relevant to
recognize place and value of
multi-digit numbers? (PairShare) Why is it relevant to
recognize place and value of
multi-digit numbers? You may
give one of my reasons or one
of your own. Which reason is
more relevant to you? Why?
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Place value: The place is the position of a digit in a number.
The value is the worth of the digit due to its position.
• A digit in any place represents 10 times as much as it does in the place to its right.
Skill Closure
Recognize place and value in a multi-digit number.
1 Read the question to find which digit to identify. (underline)
2 Identify that digit in the number. (circle)
3 Identify the place of the digit. (write) Hint: Use the place value chart.
4 Determine the value of the digit. (write)
1. What is the value of the digit 4?
3 6 5, 4 0 9
hundreds
4 is in the ______________
place.
400
The value of 4 in 365,409 is _________.
2. Which digit is in the ten thousands
place?
7 2 8, 9 5 3
2 is in the _______________
ten thousands place.
___
2 in 728,953 is ________.
20,000
The value of ___
Word Bank
place value
position
worth
multi-digit
number
Access Common Core
Compare the value of the digit 7 in 73,208 to the value of the digit 7 in 37,208.
The value of the 7 in 73,208 is 10 times as much as in 37,208.
Summary Closure
What did you learn today about recognizing place and value in a multi-digit number?
(Pair-Share) Use words from the word bank.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Independent Practice
Place value: The place is the position of a digit in a number.
The value is the worth of the digit due to its position.
• A digit in any place represents 10 times as much as it does in the place to its right.
Recognize place and value in a multi-digit number.
1 Read the question to find which digit to identify. (underline)
2 Identify that digit in the number. (circle)
3 Identify the place of the digit. (write) Hint: Use the place value chart.
4 Determine the value of the digit. (write)
1. What is the value of the digit 8?
3 5 8, 6 0 2
2. What is the value of the digit 8?
2 7 8, 5 3 4
thousands
8 is in the ______________
place.
thousands
8 is in the ______________
place.
8,000
The value of 8 in 358,602 is _________.
8,000
The value of 8 in 278,534 is ________.
3. Which digit is in the ten thousands place?
7 2, 0 6 3
7 is in the _______________
ten thousands place.
___
7 in 72,063 is __________.
70,000
The value of ___
4. Which digit is in the hundreds place?
3 9, 7 5 2
7 is in the _______________
hundreds
___
place.
7 in 39,752 is __________.
700
The value of ___
Application
Compare the value of the digit 6 in 64,849 to the value of the digit 6 in 46,849.
The value of the 6 in 64,849 is 10 times as much as in 46,849.
S: ____________________________________________________________
Compare the value of the digit 9 in 27,934 to the value of the digit 9 in 27,394.
The value of the 9 in 27,934 is 10 times as much as in 27,394.
S: ____________________________________________________________
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Periodic Review 1
1. What is the value of the digit 6?
6 2 8, 5 4 7
2. What is the value of the digit 1?
8 1 6, 2 7 9
6 is in the ______________
hundred thousands place.
ten thousands place.
1 is in the ______________
600,000
The value of 6 in 628,547 is _________.
10,000
The value of 1 in 816,279 is ________.
3. Which digit is in the thousands place?
6 2, 6 9 3
4. Which digit is in the ten thousands place?
6 0 6, 4 7 1
2 is in the _______________
thousands
___
place.
2 in 62,693 is __________.
2,000
The value of ___
0 is in the _______________
ten thousands place.
___
0 in 606,471 is __________.
0
The value of ___
Access Common Core
8 1 6, 2 7 9
1. Using the same digits as the number above, write a number in which the
digit 6 has a value 10 times as much as the digit 6 in the number above.
861,279 (answers will vary)
2. Using the same digits as above, write a number in which the digit 1 has
a value 10 as much as the digit 1 in the number above.
168,279 (answers will vary)
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Periodic Review 2
1. What is the value of the digit 7?
4 4 0, 6 7 3
tens
7 is in the ______________
place.
70
The value of 7 in 440,673 is _________.
2. Which digit is in the hundred thousands
place?
4 3 5, 2 1 0
4 is in the hundred
thousands place.
___
_______________
4 in 435,210 is ________.
400,000
The value of ___
Access Common Core
1. Manny has 35,821 stamps. How many groups of a thousand stamps could he make? How many
would be left over?
Manny could make 35 groups of 1,000 stamps and 821 would be left over.
2. Noemi has 12,219 coins. How many groups of a thousand coins could she make? How many
would be left over?
Noemi could make 12 groups of 1,000 coins and 219 would be left over.
3. Mallory has 58,174 sports cards. How many groups of a thousand sports cards could she
make? How many would be left over?
Mallory could make 58 groups of 1,000 sports cards and 174 would be left over.
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Periodic Review 3
1. What is the value of the digit 5?
2. Which digit is in the hundreds place?
6 1 4, 8 7 5
7 9 3, 4 2 7
ones
5 is in the ______________
place.
4 is in the _______________
hundreds
___
place.
5
The value of 5 in 614,875 is ________.
4 in 793,427 is ________.
400
The value of ___
Access Common Core
1. Choose Yes or No to show whether each statement is true about the number.
648,771
1a. 8 is in the tens place.
1b. The value of the digit 6 is 600,000.
1c. The value of the 7 in the tens place is 10 times as
much as the 7 in the hundreds place.
O Yes O No
O Yes O No
O Yes O No
2. Choose Yes or No to show whether each statement is true about the number.
139,926
2a. 1 is in the hundreds place.
2b. The value of the digit 2 is 20.
2c. The value of the 9 in the thousands place is 10
times as much as the 9 in the hundreds place.
O Yes O No
O Yes O No
O Yes O No
3. Choose Yes or No to show whether each statement is true about the number.
902,523
3a. 5 is in the tens place.
3b. The value of the digit 9 is 90,000.
3c. The value of the 2 in the thousands place is 10
times as much as the 2 in the tens place.
©2013 All rights reserved.
O Yes O No
O Yes O No
O Yes O No
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
EDI – Cognitive, Teaching, and English Learner Strategies
Learning Objective: We will recognize place and value in a multi-digit number.
Cognitive Strategies
Elaboration
Teaching Strategies
Demonstration
Language Strategies
Academic
Targeted
Vocabulary
Content
recognize, position, represent, identify, determine
place value
Support
Multiple-Meaning
Synonym
Vocabulary
Strategy
Definition
position, represent, identify
recognize, place value, determine
Homophone
Internal Context Clue
Listen, Speak
Similar Sounds
Read
Tracked Reading
Write
Writing
Content Access Strategies
Comprehensible
Input
Cognates
Graphic Organizer
Contextual Clues
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Contextualized
Definitions
Pictures
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.
Blank Page
©2013 All rights reserved.
CCSS 4th Grade Numbers and Operations in Base Ten 1.0
Recognize place and value in a multi-digit number.
Lesson to be used by EDI-trained teachers only.