mathematics review of expanded form and regrouping created by: tamara v. russell
TRANSCRIPT
![Page 1: Mathematics Review of expanded form and regrouping Created by: Tamara V. Russell](https://reader038.vdocuments.us/reader038/viewer/2022110304/551a200e550346862c8b46d5/html5/thumbnails/1.jpg)
mathematics
Review of expanded form and regrouping
Created by: Tamara V. Russell
![Page 2: Mathematics Review of expanded form and regrouping Created by: Tamara V. Russell](https://reader038.vdocuments.us/reader038/viewer/2022110304/551a200e550346862c8b46d5/html5/thumbnails/2.jpg)
Lesson Objective
Today we will see if you remember how to use expanded form as a strategy
for addition.
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Essential question
How do you break apart addends to add thousands, hundreds, tens and
then ones?
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vocabulary
• value – this is what a digit is worth based on its place within a number.
• expanded form – a way to write a number that shows the values of each digit of a number.
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reviewWhat is the value of the underlined
digit?
33
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reviewWhat is the value of the underlined
digit?
755
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reviewWhat is the value of the underlined
digit?
475400
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reviewWhat is the value of the underlined
digit?
19,98510,000
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Expanded form
• Now let’s review writing numbers in expanded form.
• Here is an example…
395 = 300 + 90 + 5
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review
• How do you write 281 in expanded form?
281 = 200 + 80 + 1
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review
• How do you write 3,561 in expanded form?
3,561 = 3,000 + 500 + 60 + 1
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review
• How do you write 8,309 in expanded form?
8,309 = 8,000 + 300 + 9
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review
• How do you write 45,897 in expanded form?
45,897 = 40,000 + 5,000 + 800 + 90 + 7
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Lesson
• You can use expanded form as a strategy to add numbers.
• For example…
375 = 300 + 70 + 5123 = 100 + 20 + 2497 = 400 + 90 + 7
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Practice
• Can you complete the following problem?
412= 400 + 10 + 2281= 200 + 80 + 1_____________________
_____ __________
+
693 = 600 + 90 + 3
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Practice
• Can you complete the following problem?
223= 200 + 20 + 3156= 100 + 50 + 6_____________________
_____ __________
+
379 = 300 + 70 + 9
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Practice
• Can you complete the following problem?
560= 500 + 60 + 0419= 400 + 10 + 9_____________________
_____ __________
+
693 = 900 + 70 + 9
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practice
Time for think, pair, share. First, complete lesson 7.1 on paper. Then work with a partner to share &
check your work.
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regrouping
• Sometimes you will need to regroup in order to add. You can still use the expanded form strategy.
• For example…
235 = 200 + 30 + 5135 = 100 + 30 + 5370 = 300 + 60 + 10
Take away a ten and then add ten
to the tens’ column
Ten plus 60 is?
70
10
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regrouping
• Let’s try that again….
235 = 200 + 30 + 5146 = 100 + 40 + 6381 = 300 + 70+ 11
Take away a ten and add ten to
the tens’ column
Ten plus 70 is?
80
10
1The answer
is….
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regrouping
• One more time…
425 = 400 + 20 + 5198 = 100 + 90 + 8623 = 500 + 110+ 13
Take away a ten and add ten to
the tens’ column
Ten plus 110 is?
20
10
3The answer
is….
Take away a hundred and add a
hundred to the hundreds’ column.
100
600
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White board practice
Use your whiteboards and markers for the next three
problems.
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practice
Using the expanded form method, solve the following problem.
421 + 329=
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practice
Using the expanded form method, solve the following problem.
531 + 396=
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practice
Using the expanded form method, solve the following problem.
1,348 + 529=
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Great Job!
Exit ticket: How do you break apart addends to add thousands, hundreds, tens and then ones? Respond on your
white board.