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Intro to Regrouping (When Adding & Subtracting)
- Show lesson plan & teacher guide
- Show answers to discussion questions
- Show video only
- Allow visiting of other pages
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- How regrouping can help us solve an addition problem.
- How regrouping can help us solve a subtraction problem.
- We’ll explore how this knowledge can help us count sea shells, feed pets and even eat donuts!
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Discussion Questions
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Before VideoWhat are 3 different ways to show 88 using base-ten blocks?ANSWER
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Answers will vary. The total amount should be 88.
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10 ones blocks are equal to 1 tens block.
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Yes, I can exchange 50 of them for 5 tens blocks. Then I have 2 ones blocks left over.
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2 tens blocks plus 1 tens block is 3 tens blocks. 6 ones blocks plus 3 ones blocks is 9 ones blocks. 3 tens blocks and 9 ones blocks is 39, so 26 + 13 = 39.
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I can show 38 as 3 tens blocks and 8 ones blocks. 24 is 2 tens blocks and 4 ones blocks. I take away 2 tens from 3. 1 ten is left. I take away 4 ones from 8. 4 ones are left. I have 1 ten and 4 ones left, which is 14. 38 – 24 = 14.
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After VideoDo you need to regroup when you add 25 + 15?ANSWER
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Yes! After adding, I have 3 tens blocks and 10 ones blocks. 10 ones blocks can be regrouped into 1 tens block, so I have 4 tens blocks, or 40.
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No. 7 is greater than 2, so to subtract the ones, I can subtract 7 – 2. 4 is also greater than 1 so to subtract the tens, I can subtract 4 – 1. The answer is 35.
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Yes. 7 is less than 9, so I cannot subtract 7 – 9. I have to borrow a ten and regroup it as 10 ones. I take one of the 4 tens blocks and regroup it into 10 ones blocks. Now I have 3 tens blocks and 17 ones block. I need to subtract 1 ten and 9 ones. To subtract the ones, I can subtract 17 – 9. To subtract the tens, I can subtract 3 – 1. The answer is 28.
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Cathy got the right answer, but she did not have to regroup the two numbers into ones blocks first. She could have added together the tens and the ones, and then regrouped 10 of the ones into 1 ten.
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It does not help to regroup parts of 27. He should regroup 1 ten from 34 into 10 ones, because he needs more than 4 ones.
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Vocabulary
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Subtract
DEFINE
Find the difference between two amounts.
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Add
DEFINE
Put together two amounts.
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Place value
DEFINE
The value of each digit based on its position in a number.
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Ones place
DEFINE
Has a value of one.
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Tens place
DEFINE
Has a value of ten ones.
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Regrouping
DEFINE
Representing tens using ones, or representing ones using tens.
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Sum
DEFINE
The result of adding.
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Difference
DEFINE
The result of subtracting.
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Subtract
DEFINE
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Reading Material
Download as PDF Download PDF View as Separate PageWHAT IS INTRO TO REGROUPING (WHEN ADDING & SUBTRACTING)?You have learned before that 10 ones is equal to 1 ten. When you add, you can regroup 1 ten as 10 ones. When you subtract, you can regroup 10 ones as 1 ten.
To better understand Regrouping when Adding & Subtracting…
WHAT IS INTRO TO REGROUPING (WHEN ADDING & SUBTRACTING)?. You have learned before that 10 ones is equal to 1 ten. When you add, you can regroup 1 ten as 10 ones. When you subtract, you can regroup 10 ones as 1 ten. To better understand Regrouping when Adding & Subtracting…LET’S BREAK IT DOWN!
Place value
Place value tells us the value of each digit based on its position in a number. For example, 39 has 3 in the tens place and 9 in the ones place.
Place value Place value tells us the value of each digit based on its position in a number. For example, 39 has 3 in the tens place and 9 in the ones place.What is regrouping?
When we have more than 10 ones, we can regroup some of them to make a ten. For example, if we have 13 ones, we can regroup them as 1 ten and 3 ones.
What is regrouping? When we have more than 10 ones, we can regroup some of them to make a ten. For example, if we have 13 ones, we can regroup them as 1 ten and 3 ones.Regroup 53
53 is 5 tens and 3 ones. We can regroup 1 ten as 10 ones. 53 is 4 tens and 13 ones. 53 is also 53 ones. We can regroup 10 ones as 1 ten. 53 is 1 ten and 43 ones.
Regroup 53 53 is 5 tens and 3 ones. We can regroup 1 ten as 10 ones. 53 is 4 tens and 13 ones. 53 is also 53 ones. We can regroup 10 ones as 1 ten. 53 is 1 ten and 43 ones.Regroup when adding
Add 36 + 25. Add the ones: 6 ones + 5 ones = 11 ones. Regroup 11 ones to make 1 ten and 1 one. Add the tens: 3 + 2 = 5 tens. 5 tens + 1 ten + 1 one is 6 tens and 1 one, or 61. 36 + 25 = 61.
Regroup when adding Add 36 + 25. Add the ones: 6 ones + 5 ones = 11 ones. Regroup 11 ones to make 1 ten and 1 one. Add the tens: 3 + 2 = 5 tens. 5 tens + 1 ten + 1 one is 6 tens and 1 one, or 61. 36 + 25 = 61.Regroup when subtracting
Subtract 42 – 15. Try to subtract the ones. We can't take away 5 ones from 2 ones! Regroup 1 ten in 42 into 10 ones. Now we have 12 ones. 12 – 5 = 7 ones. Subtract the remaining tens. 3 tens – 1 ten = 2 tens. There are 2 tens and 7 ones left, or 27. 42 – 15 = 27.
Regroup when subtracting Subtract 42 – 15. Try to subtract the ones. We can't take away 5 ones from 2 ones! Regroup 1 ten in 42 into 10 ones. Now we have 12 ones. 12 – 5 = 7 ones. Subtract the remaining tens. 3 tens – 1 ten = 2 tens. There are 2 tens and 7 ones left, or 27. 42 – 15 = 27. -
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Practice Number Problems
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Use regrouping to solve 25 + 37.
Use regrouping to solve 73 – 45.
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