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Mathematics Review of expanded form and regrouping Created by: Tamara V. Russell.

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Presentation on theme: "Mathematics Review of expanded form and regrouping Created by: Tamara V. Russell."— Presentation transcript:

1 mathematics Review of expanded form and regrouping Created by: Tamara V. Russell

2 Lesson Objective Today we will see if you remember how to use expanded form as a strategy for addition.

3 Essential question How do you break apart addends to add thousands, hundreds, tens and then ones?

4 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.

5 review What is the value of the underlined digit? 33

6 review What is the value of the underlined digit? 7575 5

7 review What is the value of the underlined digit? 475 400

8 review What is the value of the underlined digit? 19,98510,000

9 Expanded form Now lets review writing numbers in expanded form. Here is an example… 395 = 300 + 90 + 5

10 review How do you write 281 in expanded form? 281 = 200 + 80 + 1

11 review How do you write 3,561 in expanded form? 3,561 = 3,000 + 500 + 60 + 1

12 review How do you write 8,309 in expanded form? 8,309 = 8,000 + 300 + 9

13 review How do you write 45,897 in expanded form? 45,897 = 40,000 + 5,000 + 800 + 90 + 7

14 Lesson You can use expanded form as a strategy to add numbers. For example… 375 = 300 + 70 + 5 123 = 100 + 20 + 2 497 = 400 + 90 + 7

15 Practice Can you complete the following problem? 412= 400+ 10+ 2 281 = 200+ 80+ 1 _____________________ _____ + 693 = 600 + 90 + 3

16 Practice Can you complete the following problem? 223= 200+ 20+ 3 156 = 100+ 50+ 6 _____________________ _____ + 379 = 300 + 70 + 9

17 Practice Can you complete the following problem? 560= 500+ 60+ 0 419 = 400+ 10+ 9 _____________________ _____ + 693 = 900 + 70 + 9

18 practice Time for think, pair, share. First, complete lesson 7.1 on paper. Then work with a partner to share & check your work.

19 regrouping Sometimes you will need to regroup in order to add. You can still use the expanded form strategy. For example… 235 = 200 + 30 + 5 135 = 100 + 30 + 5 370 = 300 + 60 + 10 Take away a ten and then add ten to the tens column Ten plus 60 is? 70 10

20 regrouping Lets try that again…. 235 = 200 + 30 + 5 146 = 100 + 40 + 6 381 = 300 + 70+ 11 Take away a ten and add ten to the tens column Ten plus 70 is? 80 10 1 The answer is….

21 regrouping One more time… 425 = 400 + 20 + 5 198 = 100 + 90 + 8 623 = 500 + 110+ 13 Take away a ten and add ten to the tens column Ten plus 110 is? 20 10 3 The answer is…. Take away a hundred and add a hundred to the hundreds column. 100 600

22 White board practice Use your whiteboards and markers for the next three problems.

23 practice Using the expanded form method, solve the following problem. 421 + 329=

24 practice Using the expanded form method, solve the following problem. 531 + 396=

25 practice Using the expanded form method, solve the following problem. 1,348 + 529=

26 Great Job! Exit ticket: How do you break apart addends to add thousands, hundreds, tens and then ones? Respond on your white board.


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