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Today, I’m going to be sharing two wonderful methods to teach addition and subtraction computations with regrouping. These methods provide concrete representations that will aid the child when he or she moves on to the regular (paper and pen) way of computing. These methods are great for children who are struggling with these concepts or as a review. Basically you could use these methods for any of the elementary grades. And of course, you could use these to teach simple addition and subtraction as well.

*Note: Before teaching addition, child must have an understanding of place value and that 10 units can be exchanged for one ten block.*

## Addition with Regrouping

**Method 1: Use Place Value Ten Blocks **

This is how you can teach addition with regrouping using the ten blocks (we use the Math U see Place Ten Blocks). I’ll show you how to use this method to solve few problems. I usually model a few problems out loud to demonstrate. If the child is having difficulty placing the units and tens in the right place, then draw a simple chart like this one for them to use as a guide.

Problem #1) **23 + 8**

- Using the ten blocks, make the addends. “So I’m going to need 2 tens and 3 units to make 23, and also 8 units to make 8.” “We always start with the units so I’m going to make the 8 units and then the 2 tens.” I like to arrange the units in 2s so it’s easy to visualize a group of 10 and to reinforce skip counting by 2s.
- Then slide all the units and tens together. Look at the units, and count. “Oh, there are 11 units all together because 3 +8 = 11. “In an addition problem, I need to regroup if there are 10 units or 10 tens. So I have enough to regroup and exchange the 10 units to a 10 block. I’m going to go the bank (where the rest of the place ten blocks are kept) and exchange 10 units for a 10 block.”
- Then insert the new 10 in the tens column. “Now, I’ve 3 tens and 1 unit which equals 31.” “So, 23 + 8 = 31. The sum is 31.”

Problem #2) **24 + 46.**

- “We’ve to first make the 2 addends. To make 24, I need 2 tens and 4 units and to make 46, I need 4 tens and 6 units.” “we always start with the units, then the tens.”
- Then slide all units and tens together. Count the units: “4+6=10. Remember, in an addition problem, I need to regroup if there are 10 units or 10 tens. So, I need to regroup and exchange the 10 units for a 10 block. I’m going to the bank and exchange 10 units for a 10 block.”
- Then insert the new 10 in the tens column. “Now, I’ve 7 tens and no units which equals 70. So, 24+46=70. The sum is 70.”

### Method 2: Use Montessori Stamp Game

I absolutely love this Stamp Game. Through the stamp game, students can understand how addition, subtraction, multiplication and division works. Use the same principles and terminologies mentioned above. I’ve demonstrated the same two problems using the Stamp Game.

**23 + 8**Make the addends, 23 and 8. Slide the units together.- Regroup and exchange 10 units for 1 ten from the bank. The sum is equal to 31.

Problem 2)** 24 + 46**

## Subtraction with regrouping

### Method 1: Use Place Value Method

Problem 1) **14 – 8 **

- Familiarize the child with the terms
(a quantity or number from which another is to be subtracted),**minuend**(a quantity or number to be subtracted from another). 14 is the minuend and 8 is the subtrahend.**subtrahend** - “I’m going to make my minuend which is 14. So I’ll need 1 ten and 4 units. I’ll get the 4 units first and then the ten. My subtrahend is 8 units but I can’t take 8 from 4. So I’ve to regroup. Regrouping in subtraction means borrowing. I’m going to go to my neighbor, the tens and borrow. I’ve to exchange the ten block to 10 units from the bank. I’m going to put the ten block in the bank and exchange it for 10 units.
- “I’m going to add these 10 units to the 4 units making it 14 units. Now I can subtract or take away 8 from 14.
- “I’m left with 6. So the difference is 6. 14 – 8 =6.”

Problem #2) **54-36**

- “I’m going to make my minuend which is 54. So I take 4 units and 5 tens.” “Can I take 6 from 4? No! So I’ve to regroup which means I’ve to go to my neighbor, the tens, and borrow. I’m going to exchange one ten for ten units.”
- “Now I’ve 14 units (10+4) and I can take away 6 from 14. I’m left with 8 units. Next, I go to my tens and take away 3 which leaves me with 1 ten.” “So, the difference is 18. 54-36=18.”

### Method 2: Using Montessori Stamp Game

Problem 1) **14 – 8**

- Familiarize the child with the terms
(a quantity or number from which another is to be subtracted),**minuend**(a quantity or number to be subtracted from another). 14 is the minuend and 8 is the subtrahend.**subtrahend** - “I’m going to make my minuend which is 14. So I’ll need 1 ten and 4 units. I’ve to start with my units so I’ll get the 4 units first and then the ten. My subtrahend is 8 units but I can’t take 8 from 4. So I’ve to regroup. Regrouping in subtraction means borrowing. My neighbor, the tens, has enough so I’m going to borrow. I’ve to exchange the ten block to 10 units from the bank. I’m going to put the ten block in the bank and exchange it for 10 units.
- “I’m going to add these 10 units to the 4 units making it 14 units. Now I can subtract or take away 8 from 14.
- “The difference is 6.”

Problem #2) **54-36**

- “I’m going to make my minuend which is 54. So I take 4 units and 5 tens.” “Can I take 6 from 4? No! So I’ve to regroup which means I’ve to go to my neighbor, the tens, and borrow. I’m going to exchange one ten for ten units.”
- “Now I’ve 14 units (10+4) and I can take away 6 from 14. I’m left with 8 units. Next, I go to my tens and take away 3 which leaves me with 1 ten.” “So, the difference is 18. 54-36=18.”

You could also show regrouping on the paper (traditional way) while employing any of these methods if you think your child is ready. Hope you will utilize these methods with your children when they learn addition and subtraction.

#### Click Here to purchase The Montessori Stamp Game

#### Click Here to purchase Differentiated Place Value Blocks (Please note that we use the Math U see Place Value Set)

Heather says

Anu, great idea. Just used my blocks today ( math u see) to do similar, not farmilar with the stamp game though, thanks for a great blog.

Anu says

Thank you Heather!

Nancy Tirrell says

Great ideas! I’ve always had a hard time teaching this in a concrete way that kids can easily understand.