Subtraction two digit with regrouping: Grade 2 worksheet — subtract 2digit numbers, with regrouping
Posted onSubtraction With Regrouping — Definition, 2digit, 3digit & 4digit Subtraction With Regrouping, Subtraction of Decimal With Regrouping
Subtraction with regrouping helps in understanding and performing subtractions easily using the concept of regrouping, which is also known as carrying or borrowing. It is an important skill to master, which forms the basis of arithmetic. Subtraction with regrouping can be performed by keeping the place value in mind. Let us learn more about this concept.
1.  What is Subtraction With Regrouping? 
2.  Subtraction With Regrouping Steps 
3.  2Digit Subtraction With Regrouping 
4.  3Digit Subtraction With Regrouping 
5.  4Digit Subtraction With Regrouping 
6.  Subtraction of Decimals With Regrouping 
7.  FAQs on Subtraction With Regrouping 
What is Subtraction With Regrouping?
Subtraction with regrouping is a process of arranging two or more large numbers vertically to find the difference between the two given numbers. Regrouping is the process of making groups of tens when adding or subtracting twodigit numbers (or more) which is another name for carrying and borrowing. In subtraction with regrouping, we will encounter borrowing more often where we take away one number from the corresponding place value. Subtraction is mainly used when the bottom number is higher than the top number.
Subtraction with regrouping is considered extremely helpful in daily life such as when we are dealing with money like shopping, when we want to measure time like calculating the exact time from a different time zone, and when we want to measure distance. When we subtract two numbers, we use some terms which are used in the subtraction expression:
 Minuend: The number from which the other number is subtracted.
 Subtrahend: The number which is to be subtracted from the minuend.
 Difference: The final result after subtracting the subtrahend from the minuend.
The subtraction formula is written as: Minuend — Subtrahend = Difference.
Let us look at an example: Find the difference between 8 and 6.
Therefore, 8 — 6 = 2.
Subtraction With Regrouping Steps
Subtraction with regrouping is also known as subtraction with borrowing. When the minuend is smaller than the subtrahend, we use the regrouping method. While regrouping, we borrow 1 number from the preceding column to make the minuend bigger than the subtrahend. Here are the steps used while subtracting numbers with regrouping:
 Step 1: Arrange the numbers according to their place value in a vertical manner.
 Step 2: Start subtracting the digits at one’s place. If the number in the bottom is higher than the top number, we will borrow 1 from the tens column which will be combined to the number at the one’s place.
 Step 3: After giving 1 to the one’s place, the number at the ten’s place will reduce by one number. Now, subtract the numbers at the one’s place.
 Step 4: We follow step 2 with the rest of the numbers in 2digit and more numbers. As and when we borrow, we subtract the numbers simultaneously.
 Step 5: Subtract the last number to find the final difference.
2Digit Subtraction With Regrouping
2digit subtraction with regrouping can be performed by using the steps mentioned above. The place value for 2digit numbers is ones and tens. Let us look at an example and solve it along with the steps for a better understanding. Subtract 29 from 65.
Step 1: Arrange the numbers according to their place value with the greater number on top. So 5 and 9 are in the one’s place and 2 and 6 are in the ten’s place.
Step 2: We begin with the one’s place. Since 5 is smaller than 9, we borrow 1 from the ten’s place i. e. 6 which becomes 5.
Step 3: The 1 that is borrowed makes 5 as 15. Hence, 15 — 9 = 6.
Step 4: Once we have subtracted the one’s place, move on to the ten’s place. 5 — 2 = 3.
Hence, the difference between 65 and 29 is 36.
3Digit Subtraction With Regrouping
3digit subtraction with regrouping is also performed in a similar manner as the onedigit and the 2digit numbers. The place value for 3digit numbers is hundreds, tens, and ones. Let us look at an example for a better understanding. Subtract 314 from 157.
Step 1: Arrange the numbers according to their place value with the greater number on top. So 4 and 7 are at the one’s place, 1 and 5 are at the ten’s place, and 3 and 1 are at the hundred’s place.
Step 2: We begin with the one’s place. Since 4 is smaller than 7, we borrow 1 from the ten’s place i.e. 1 which reduces to 0.
Step 3: The 1 that is borrowed makes 4 as 14. Hence, 14 — 7 = 7.
Step 4: Follow step 2 again with the ten’s and hundred’s place by borrowing 1 from each of the numbers which makes it, 3 at the hundred’s place will reduce to 2 and 0 at the ten’s place makes it 10. Subtract all the numbers to find the difference.
Hence, the difference between 314 and 157 is 157.
4Digit Subtraction With Regrouping
4digit subtraction with regrouping is performed in a similar manner as the onedigit, 2digit, and 3digit numbers. Since this is 4digits, the place values are thousands, hundreds, tens, and ones. Let us look at an example, Subtract 3678 from 8162.
 Step 1: Arrange the numbers according to their place value. Start subtracting the digits at ones place. We can see that 8 is greater than 2. So, we will borrow 1 from the tens column which will make it 12. Now, 12 — 8 = 4 ones.
 Step 2: After giving 1 to the one’s column in the previous step, 6 becomes 5. Now, let us subtract the digits at the tens place (5 — 7). Here, 7 is greater than 5, so we will borrow 1 from the hundreds column. This will make it 15. So,15 — 7 = 8 tens.
 Step 3: In step 2 we had given 1 to the tens column, so we are left with 0 at the hundreds place. To subtract the digits on the hundreds place, i.e., (0 — 6) we will borrow 1 from the thousands column. This will make it 10. So, 10 — 6 = 4 hundreds.
 Step 4: Now, let us subtract the digits at the thousands place. After giving 1 to the hundreds column, we have 7. So, 7 — 3 = 4.
Therefore, the difference between the two given numbers is 8162 — 3678 = 4484.
Subtraction of Decimals With Regrouping
In order to solve subtraction of decimals with regrouping, follow the given steps:
 Step 1: Arrange the numbers according to their place value, with the decimal point.
 Step 2: Write zeroes in the places wherever the length of decimal numbers is not the same.
 Step 3: Now subtract the decimal numbers with the same steps used for the other digits and find the output to subtraction.
For example: Subtract 56.24 from 7.57.
Related Topics
Here are a few topics related to subtraction with regrouping, take a look.
 Subtraction with Complex Numbers
 Addition and Subtraction of Decimals
 Addition and Subtraction of Integers
 Addition With Regrouping
FAQs on Subtraction With Regrouping
What is Subtraction With Regrouping?
Subtraction with regrouping is considered the process of arranging 2 or more numbers vertically to find out the difference between these two numbers. Regrouping or borrowing is the process of taking away a number from the next number placed in the next place value. Subtraction with regrouping is one of the most important aspects that we encounter in daily life as well.
What is the Subtraction Formula?
When we subtract two numbers or when subtraction numbers with regrouping, we use some terms which are used in the subtraction expression:
 Minuend: The number from which the other number is subtracted.
 Subtrahend: The number which is to be subtracted from the minuend.
 Difference: The final result after subtracting the subtrahend from the minuend.
The subtraction formula is written as: Minuend — Subtrahend = Difference. For example: 9 — 2 = 7. 9 is the minuend, 2 is the subtrahend, and 7 is the difference.
What are the Steps to 2Digit Subtraction With Regrouping?
2digit subtraction with regrouping is done with 2digit numbers with the place value of ones and tens. The steps to subtraction with regrouping is very simple, here they are:
 Arrange the numbers according to their place value in a vertical manner.
 Start with the one’s place. If the number in the bottom is higher than the top number, borrow 1 from the tens column that gets combined to the one’s place number. Subtract the number at the one’s place.
 Since a number is borrowed from the ten’s place, the number reduces. We follow step 2 with the rest of the numbers in 2digit numbers. As and when we borrow, we subtract the numbers simultaneously.
 Subtract the last number to find the final difference.
What are the Steps to 3Digit Subtraction With Regrouping?
3digit subtraction with regrouping is done in a similar manner to the 2digits. While subtracting 3digits with regrouping, we consider 3 place values i.e. one’s, ten’s, and hundred’s. During the process of subtraction, we borrow one number from the corresponding place value that is combined with the lower number. Here are the steps:
 Arrange the numbers according to their place value in a vertical manner.
 Start with the one’s place. If the number in the bottom is higher than the top number, borrow 1 from the tens column that gets combined to the one’s place number. Subtract the number at the one’s place.
 Since a number is borrowed from the ten’s place, the number reduces. We follow step 2 with the rest of the numbers in 3digit numbers.
 Subtract the last number to find the final difference.
What are the Steps to 4Digit Subtraction With Regrouping?
4digit subtraction with regrouping is a similar process as used for 2digit numbers and 3digit numbers. Here the place values are one’s, ten’s, hundred’s, and thousand’s. The steps are as follows:
 Arrange the numbers according to their place value in a vertical manner.
 Start with the one’s place. If the number in the bottom is higher than the top number, borrow 1 from the tens column that gets combined to the one’s place number. Subtract the number at the one’s place.
 Since a number is borrowed from the ten’s place, the number reduces. We follow step 2 with the rest of the numbers in 4digit numbers.
 Subtract the last number to find the final difference.
What are the Steps to Subtraction With Regrouping of Decimals?
In order to solve subtraction of decimals with regrouping, follow the given steps:
 Arrange the numbers according to their place value, with the decimal point.
 Write zeroes in the places wherever the length of decimal numbers is not the same.
 Now subtract the decimal numbers with the same steps used for the other digits and find the output to subtraction.
4 Methods for Teaching Double Digit Subtraction Without Regrouping
Second grade is a very important year when it comes to fact fluency. This is the time when they are learning to become familiar with twodigit addition and subtraction facts. In my previous post, I shared four addition strategies that I focus on Today, I’ll be sharing four subtraction strategies used for introducing double digit subtraction without regrouping.
Just like introducing 2digit addition, I expose my students to multiple strategies and models they can use to solve subtraction problems. We spend lots of time focusing on WHY something is done before we teach HOW something is done. Giving students choice in their learning by providing them with multiple ways solve problems is helping them succeed. Flexibility is key because every child learns differently.
The Texas TEK for twodigit subtraction states:
2.4B: Add up to four twodigit numbers and subtract twodigit numbers using mental strategies and algorithms based on place value and properties of operations.
The Common Core Standard for twodigit subtraction states:
2.NBT.B.5: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
Note that the bolded text above says nothing about the standard algorithm we learned growing up years ago. Keep reading to learn about four subtraction strategies I introduce and teach my students when focusing on double digit subtraction without regrouping. Also, note that these strategies will not focus on regrouping. Students need a strong understanding of place value AND simple subtraction before moving onto that task.
At the beginning of our subtraction unit, I always make this anchor chart. As we learn a new strategy, such as double digit subtraction without regrouping, it is added to our whole group chart. My students keep a matching copy of this in their math journal to use later on when they need extra support.
Now let’s break down these four strategies for double digit subtraction without regrouping
Before we get started, I want you to make sure you are familiar with the vocabulary that will be used.
Throughout this post, you will hear the terms minuend, subtrahend, and difference. In the problem 6733=34, 67 is the minuend, 33 is the subtrahend, and 34 is the difference.
Base Ten Model
When introducing double digit subtraction without regrouping, I always start with the base ten models. In addition to using base ten blocks, I also teach them to draw the blocks out on paper. This is because students won’t always have access to manipulatives, but they will have a pencil and paper. I always give my students a place value mat placed inside a plastic sleeve. This allows students to also write or draw using a dry erase marker and they can be used over and over again. Here is how this strategy works using the example 5915=44
 Build/draw out the minuend (59) with base ten blocks.
 Take away the amount of the subtrahend (15). Remove 5 ones blocks and 1 tens block.
 Count the remaining blocks left and solve for the difference.
For students to draw out this strategy it works the same way. We draw “sticks” to represent the tens and “dots” to represent the ones. I also teach them to take away or cross out the ones first followed by the tens. This will help when regrouping is introduced later on.
Expanded Form Method
The second subtraction strategy that I introduce is the Expanded Form Method. Your students need a strong understanding of place value and expanding numbers for them to be successful using this strategy.
The minuend and subtrahend of the subtraction problem will be expanded and lined up vertically. I always have my students circle the minus sign to help them remember to subtract rather than add.
Here is how it works using the example 8643.
Expand the minuend. >>> 80+6
Expand the subtrahend and write it vertically underneath the minuend. >>> 40+3
Circle the minus sign.
Subtract and solve vertically based on place value starting with the ones, then the tens.
Solve for the difference. >>> 40+3=43
Number Line Model
The number line model subtraction strategy tends to be more challenging for students. They need a strong knowledge of mental math and skip counting for this method to come easily for them.
I often use skip counting as a warmup for our math block. Example: Have students stand in a circle. Choose a student to go first and skip count by 10’s starting with the number 35. The first person says 35, the next says 45, and so on. For the ones that struggle I will often let them hold a hundred chart in their hand to help. You can have them do this counting forwards or backward.
Another way to squeeze in counting practice is to have them chant while they are lining up. Example: Class, let’s skip count by 2’s as we line up. We will start with the number 40 and see how high we can count. When everyone is lined up correctly, we will stop. The number line strategy focuses on students “hopping” and “skipping” backward on a number line to solve for the difference of a given problem. I call the 10’s hops, and the 1’s skips.
I’ve also found it helpful for students to write out their steps before solving the problem.
Here is how it works using the example 5726.
 Draw an open number line.
 Write the minuend at the end of the number line. >>> 57
 Determine how many hops and skips you need to take.
 The subtrahend is 27. You need to draw 2 large hops and 6 small skips.
 Skip count backward to solve for the difference.
 5726=31
Standard Algorithm
This traditional method is probably how you learned twodigit subtraction growing up and is what our children’s parents are most familiar with.
For this strategy, students need to line up both numbers vertically underneath each other. The minuhend (larger number) goes on top and the subtrahend (smaller number) goes on the bottom. They will subtract the ones place first and then the tens place to solve for the difference.
One tip that can be helpful when first learning this strategy is to have students use a highlighter to highlight the ones place or have them circle the numbers in the ones place first. This helps them visualize where they need to start first. This concept can be more complicated for them than we realize because they are trained to read and write from left to right.
Double Digit Subtraction without Regrouping Recap:
At the end of our unit, we always make these Subtraction Strategy Flipbooks to help us review. They can keep these to use later as a reference when needed.
Whew! That may seem like a lot of information to process.
We all learn concepts in different ways and the subtraction strategies that I have shared are what I have found to be beneficial for my own students. There is no right or wrong strategy when it comes to solving twodigit subtraction problems.
Allow your students to choose the method that works best for them and have them stick with it. Once they have found a method that they are comfortable with, it is important to provide them with multiple opportunities to practice.
Below are some resources that you may find helpful.
Addition and Subtraction without Regrouping Unit This unit features 10 days worth of handson and engaging activities for your students to practice all the subtraction strategies for double digit subtraction without regrouping that I have listed above. There are daily addition and subtraction word problems, interactive notebook prompts, subtraction without regrouping games and so much more.
Want to save these subtraction strategies ideas for later? Pin the image below!
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Teaching Strategies for 2Digit Addition and Subtraction
Below, you will find different strategies for 2digit addition and subtraction. In 2nd grade, students will begin adding 2digit and 3digit problems with regrouping. Here are ways to break down these problems so that students have different ways to solve the problems. Since students learn in different ways, it’s important to show them different methods to learning. You’ll find concrete strategies, mental math strategies, and even algorithm methods for pencil and paper solving. As you teach your students each method, give them the freedom to pick and choose the method that works best for them.
Common Core Standards for 2Digit Addition and Subtraction
Let’s take a look at the standards that focus specifically on these next few strategies. You can certainly use these strategies in first grade (without regrouping) and third grade, too. However, the specific standard in focus here is 2.NBT.5, which focuses all on fluently adding and subtracting using place value strategies.
 2nd Grade 2.NBT.5: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
 Focused standardsbased resource: 2.NBT.5 and 2.NBT.5 Regrouping Bonus
BaseTen Blocks: Strategy 1
The first two digit addition and subtraction strategy that I’m going to discuss is actually a kid’s favorite. Using base ten blocks to add and subtract two digit numbers is a very concrete model for students to use. It’s very easy for them to visually see the process of putting together the tens and ones plus the act of regrouping is a lot easier to visually see here as well.
One way that I like to have the students using base ten blocks is to do two things. The first would be to actually use base ten blocks as they’re adding and subtracting for every single problem. The next option would be to draw sticks and circles to represent tens and ones if your classroom is limited on base ten block materials. If you give students a whiteboard it is very easy for them to draw out every single problem that they without using base ten blocks. But ideally they will have their hands on those manipulatives to visually see their problems being solved.
BreakApart: Strategy 2
Strategy number 2 is all about the breakapart method which also could be known as the expanded form method. The reason I called it the break apart math just because the students are actually taking apart the two digit and splitting it into tens and ones. Then they’re going to add the tens from each number and the ones from each number and make their math a little bit easier. It does get a bit difficult when students have to do some regrouping on their addition or subtraction problem so that is definitely a big step that you have to teach when using this strategy.
Here are two ways that I use the break apart strategy for two different levels. In the picture at the bottom you see my remediation group activity which give the students a more scaffolded view of breaking apart there two digit where’s to add together. In the picture at the top, you see what I would give my on level or my enrichment group. They have to draw a problem and solve it on their own without the scaffolded boxes for them to guide them and breaking apart their numbers.
Give and Take: Strategy 3
Our third 2digit addition and strategy would be the giveandtake method. The process of this method is different between the addition and subtraction problems. So it is important that you give the students a lot of practice here. When you have an addition problem if you take two from one number you have to add two to the other number. However, on a subtraction problem if you take two from one number you have to take two from the second number as well.
This strategy does practice because the students really have to focus on which strategy fits with addition or subtraction. Giving them lots of handson ways to practice is one suggestion. It’s also very important to teach the strategy of finding the number that’s closest to a 10 to make their problem as easy as they can.
Open Number Line: Strategy 4
Open number lines are the fourth strategy for 2digit addition and subtraction problems. An open number line is where students have make jumps in order to represent adding or subtracting tens and ones. On a subtraction problem the students will begin on the biggest number. Then, they will jump back the number that they are supposed to subtract. When a student makes these jumps, they will represent the tens with a bigger jump and the ones with smaller jumps. It is important that the students label each of these jumps at the bottom of the number line. This will help them see the act of taking 10/1 or adding 10/1.
Standard Algorithm: Strategy 5
My final 2digit addition subtraction strategy is the standard algorithm. The standard algorithm is lining up the addition or subtraction problem vertically where the tens and ones are stacked on top of each other. This can be done with or without regrouping. I do suggest breaking up your lessons into teaching the standard algorithm without regrouping first. And then once your kids master that then you can start teaching standard algorithm with regrouping.
It’s very important to give your students lots of ways to practice each strategy. Some ways are handson partner activities. Other ways maybe independent worksheets where students have to show what they’ve learned so far on their own. I also think it’s very important to tie in writing with every single strategy. If you’re having the students explain their place value strategies in writing, I think that’s a very strong way of practicing and understanding that strategy in their mind.
Looking for 2digit addition and subtraction resources?
These standardsbased resources break down the standard and teach the students how to add and subtract 2digit numbers with and without regrouping. It focuses on each strategy for a minilesson. All of the images you see above in this blog post come from the 2.NBT.5 unit. The regrouping bonus unit is for remediation if you need to take a step back and teach your students how to regroup when adding and subtracting.
2.NBT.5 Add & Subtract 2Digit Numbers
2.NBT.5 Bonus Regrouping
Need it DIGITALLY?
I have created a few activities in readymade Google Slides. These 2Digit Addition and Subtraction activities are for second grade.
 2nd Grade Digital Activity: 2Digit Addition
 2nd Grade Digital Activity: 2Digit Subtraction
Thanks for reading all about addition and subtraction strategies. Hopefully, this blog post helped you find ways to introduce this big math skill into easier steps for your students.
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2 Digit Addition and Subtraction Without Regrouping
Teaching 2 digit addition and subtraction without regrouping is fun because kids get to add and subtract «big» numbers. It makes them feel so smart and can be a huge confidence booster for students!
Since there is no regrouping, all students are essentially doing is two addition to 10 problems, or two subtraction within 10 problems, that happen to be next to each other. 🙂
An awesome trick is to teach them to point out their pointing finger. Place it on top of the 2 numbers in the tens place and simply solve the addition problem in the ones place. For example, in this yellow worksheet, they’d use their finger to cover 1 + 2 so all they see is 8 + 0. How easy is 8 + 0?! Then have them cover 8+0 while they can only see and solve 1 + 2. SO easy!! They’ll be amazed at how they added 2 big numbers. 🙂 🙂 So 18 + 20 is actually just 8+0 and 1+2, which they already know how to do. This is a HUGE confidence builder to introduce it this way!
2 Digit Addition and Subtraction Without Regrouping Using Place Value
I highly recommend using cubes as place value blocks to show them what 2 digit addition and subtraction without regrouping is actually doing.
This will also come waaaay in handy once you DO start regrouping, because they can physically move cubes to regroup! Such an amazing lesson and visual representation of what regrouping is. 🙂
As you can see in the picture above, have them first look at the 2 numbers they are adding. 23 and 34. So they’d build 23 with cubes, in the form of place value blocks. Then, build 34 with cubes. Each ten is a stack of 10 cubes, as if they were place value blocks. This shows them the 2 numbers they want to put together. Then, they literally put them together by putting the tens with the tens and the ones with the ones. Count it up & they have the answer to the addition problem! 🙂
You could also use actual place value blocks since they’re smaller & the «tens» are already made, but I highly recommend having them build «tens» out of 10 cubes themselves. It’s great place value practice AND will be really helpful if you also use cubes for teaching regrouping whereas you can’t separate/add to the «tens» blocks when they’re actual place value blocks.
For those of you who use my math units, you may notice that’s a Level B worksheet! 🙂 All my math units have 3 levels of worksheets for each concept included in the unit so you can differentiate easily. B is where you’d expect a first grader to be. A is extra support. C is for a challenge.
If you have students who need a little bit of support, you can also teach them that they can DRAW place value blocks any time they need support. This is great practice for everyone and a GREAT strategy to teach all of your students for how to check their work, especially if they have to take any end of the year tests!
You can also use this same strategy for subtraction!
Have them build the first number. Here, it’s 55 and, as you can see, 55 is built on the side of the worksheet in cubes. I recommend NOT connecting the cubes for ones by the way. Have them show them as «ones» like this, where they are separate entities. Especially for subtraction problems.
After they’ve built 55, they look at what number is being subtracted. 24. So they would simply remove 4 ones and 2 tens from this in order to get their answer! 🙂 Such an awesome way to show exactly what is happening when they’re doing 2 digit subtraction.
Again, GREAT place value practice! If they need more work on place value, 2 digit addition and subtraction will be difficult, even without regrouping, so if that is the case, I recommend doing all of the activities from my big First Grade Place Value Math Unit to really solidify their knowledge of tens and ones. Play the games and do the activities over and over (don’t worry, they’re so fun!!) until they really get it down.
You can also give them a worksheet that shows what to do. For support if needed, they can draw the tens and ones blocks and cross the ones out that they are subtracting. This is a great way to visually show them what they’re doing and makes an awesome math small groups lesson! Again, great place value review and awesome for continuing to build their number sense. I love that this shows them what they’re actually doing when subtracting.
Fun Games and Centers for 2 Digit Addition and Subtraction without Regrouping
You can also let them have the support of cubes when doing math centers for 2 digit addition and subtraction!
Let’s say they were doing a center game like this where they take a card, solve it, and write the answer on their recording sheet. You could absolutely let them have cubes to help them solve. It really helps build their confidence to be able to «check» their work and «see» that it is correct. Plus, it’s so fun to play with cubes! 🙂 Again, I do NOT recommend letting them connect them. Have «tens» be connected ahead of time and are NOT disconnected ever. And the ones are by themselves. Tell them to pretend like the tens are glued if you need to, haha!
I have several sets of these to practice each 2 Digit Addition and Subtraction Without Regrouping skill by the way! I recommend putting the regular 2 digit addition in one little box like this. Then, the 2 digit + 1 digit cards in 1 box. The 2 digit — 1 digit in 1 box. Then, the 2 digit subtraction cards where both numbers are 2 digits in 1 box. The multiples of 10 in 1 box. The 10 more and 10 less in 1 box. And so on! This makes SO many different centers that you can pull out and put away super easily!
My favorite thing about that is they will know what to do each time, but it’s for a slightly different and new skill! Let’s say you use the 10 more and 10 less version of these cards and they do an entire center for that. Well, when you later teach multiples of 10 (30+50) and use the exact same center format (cards look the same, recording sheet looks the same), they’ll know exactly what to do and can focus only on learning the brand new skill! 🙂 This is something I constantly talk about for my Phonics No Prep Packs for each phonics sound. Each sound has the SAME activities so, every week, you may be introducing a new sound but your kids already know how to do all of the activities so they can focus only on learning the new phonics skill and not spend time/mental effort figuring out HOW to do it. Love love love that. AND you don’t have to give directions. How amazing does that sound?!?!? So, whenever possible, consistent activities are AWESOME. Especially in 1st grade, 2nd grade, and kindergarten!
I also love theme centers! How cute are these little monkeys and their bananas? You match the bananas with the addition problem that matches the sum on the monkey! Then, they write the problems under each monkey on their recording sheet.
As you can kind of see in this picture (on the left), I put a student friendly directions sheet with each center so you can set it out at the center. This allows the center to be more independent and reminds kids what to do. It also tells any adult who walks in your room what the students are working on — if they’re coming in to help, for example. There is also a teacher directions version of the directions page for each center. This helps explain how to play the center and sometimes fun tips for more ways to play and how to differentiate when possible!
Keeping up with the zoo animals theme, there is a subtraction version with elephants and peanuts!
For both of these centers, the kids are doing SO. MUCH. MATH. to sort the foods under the animals but probably won’t realize it because it’s so cute and fun.
Both of these also have the problems in a horizontal way so that makes it a little harder! I think kids should learn how to solve vertical first. They can learn how to line the numbers up to easily solve. THEN, once they feel confident with that, introduce horizontal.
I recommend letting them use a piece of paper to rewrite the horizontal problems as vertical. Teaching them to line the two 2 digit numbers up is SUCH a great skill to teach them! They can use an extra piece of blank paper to convert them.
For example, if you gave them a worksheet like this, they may think it looks hard. Show them how to change 26 + 62 to having them on top of each other on a new piece of paper (or on the back of their worksheet) to make it easier to solve. Vertical will make it 6+2 and 2+6. Way easier!
You can also have them bring out the cubes again! Anything they need to feel successful, I recommend! But I do definitely think it’s important to teach them how to rewrite horizontal math problems into vertical ones.
2 Digit Addition and Subtraction Without Regrouping Mixed Review Practice
I also think it is super important to have a lot of mixed practice for addition and subtraction. That’s why there is literally an entire concept inside my 2 digit addition and subtraction math unit for it. It’s really important that they look at the symbol, so they know what to do, so I like to provide a lot of worksheets and activities where they have to look to see if they’re adding or subtracting.
This would be an easy time to bring out the cubes again and ask them — are you combining the 2 sets of cubes or taking away cubes?
You can also do mixed practice by simply giving them addition pages sometimes and subtraction pages sometimes. It wouldn’t be a math post from me without a little cutting and gluing! 🙂
I genuinely think having to glue answers down makes kids think harder about their answers. It’s hard to unglue paper so they work more thoughtfully, I feel like.
Plus it’s fun! I love that they can move around their answers. I recommend teaching them to cut out all the answers first, place them (so if one doesn’t make sense, they know to check all of them to figure out which one they did incorrectly), THEN glue. This teaches them so many great skills!
I like to have a page like this for every concept so it’s a center your students are used to doing! For example, if you’re learning adding and subtracting 2 digit and 1 digit numbers, you’d also do a page like this for that.
It will look familiar to them. Like a page they’ve already done and were successful with. So a new, «hard» topic doesn’t seem so intimidating to them. 🙂
Another quick tip I have is to print «boring» worksheets on colorful paper! 2 Digit Addition and Subtraction Without Regrouping is kind of a bland concept compared to the other super fun ones kids learn in K2, but it is SO important. And one they need a ton of repetition and practice with in order to master. One super easy way to make it a little more fun is to print the worksheets on color paper!
You could tell them they earn a specific color. For example, if they finish a regular worksheet on white paper, they get to do a COLOR one. Ooooh! They’ll be EXCITED to finish worksheets! 🙂 It really is great practice. You could also put these in sheet protectors so you don’t waste a lot of color paper. Then, they get to use dry erase markers and will love it even more! There are so many ways to make a worksheet fun. Kids LOVE using dry erase markers on sheet protectors so you could definitely do that. AND then you’d also get to reuse these so you’re printing and preparing less!
All of these activities I’ve shown here for 2 Digit Addition and Subtraction Without Regrouping (and so much more) are included in my First Grade Math Unit 13 on TpT!
If you’re familiar with my math units, they are PACKED with fun, differentiated worksheets for each concept in 3 levels (A, B, and C) and centers for each concept too! Also cut and paste worksheets AND an assessment at the end of the unit to review all the concepts. I always include 3 versions of the assessment so you can do one before, during, and after. You can also save them for end of the semester/quarter/period/year assessments if you’re required to do that for report cards! 🙂
You can always look at the cover of my math units to see what’s included. The First Grade Math Unit 13 (which could also be used in 2nd grade) has the following concepts:
— 2 Digit Addition
— 2 Digit Subtraction
— 2 Digit Mix
— 2 Digit and 1 Digit Addition and Subtraction
— 10 more and 10 less
— Adding and Subtracting Multiples of 10
This one is absolutely packed with 2 Digit Addition and Subtraction Without Regrouping Worksheets and Activities — here are just a few of the practice pages:
I highly recommend using worksheets for practice and teaching. You can see the level of any worksheets in the top right corner inside of a star (see the A in the star on the page on top here?) so you can quickly grab what each student/child needs.
If a worksheet is taking them a long time — or they seem frustrated — go down a level. A is easiest, B is where most of your students will be, and C is for a challenge.
If you have students that finish their work quickly who love doing classwork and always ask for more or what’s next, having the C level pages for each worksheet that you do is sooo nice to have!
The wonderful thing about having worksheets in 3 levels is you can meet each student where they are at, then go to the next level when they’re ready so everyone can get to the challenge level in a way that supports them along the way! 🙂 I usually try to make the challenge level conceptually more challenging, where they have to think a little bit more, rather than simply more math problems, but for something so straightforward like 2 digit addition, sometimes it’s simply more problems on the page. Which, again, for your kids who finish their work quickly but enjoy doing work, it’s perfect for them!
My goal with differentiating is always for the kids to be practicing the SAME skill, but at THEIR level. The level that challenges them a little, but not too much, not too little. 🙂
I also try to make the pages look really similar too, so it’s not obvious, they simply got a different one. All of these look fun and are 2 different levels, for example!
Anyway! Then do the fun centers and games for review and more practice! I love math games and centers for each concept because they don’t realize how much practice they’re actually doing. Especially centers you can reuse over and over. You can also always bring them back out later in the year to review them again.
Thank you so much for reading! I hope this gave you some fun new ideas for teaching 2 Digit Addition and Subtraction Without Regrouping. If you’d like to see another post for how to use these same strategies to teach regrouping, let me know! I’d also love to hear from you on whatever platform you love the most! I am on almost all of them! 🙂
Again, you can get ALL of these activities that I showed in
First Grade Math Unit 13: 2 Digit Addition and Subtraction Without Regrouping
(which you could also use in 2nd grade or in any grade where you’re trying to support your students with 2 digit addition and subtraction, including the concepts within that such as 10 more and 10 less, 2 digit and 1 digit addition and subtraction, and multiples of 10)
Definitely click this to follow me on TpT though! You don’t want to miss when I post brand new stuff because it’s often at a deep discount for being the first to see/get it! 🙂
I also have FREE math and phonics groups on FB for teaching first grade (K and 2nd grade teachers are welcome too! I think you’d still get a ton of fun ideas!) so join those if you want a lot more tips and also exclusive free stuff for group members! I love chatting with you all in those so we’d love for you to join us! You can also simply follow my FB page! I absolutely love sharing tips to make your teaching life easier, more fun, and more organized. So if you love that too — and are always looking for fun new phonics, math, writing, and classroom management tips — then I’d love to share mine with you!
If you want to «pin» this post to read later, you can pin ANY of the pictures from this post onto your boards! 🙂 I also took a second to make these 2 pins for you so it says what the post is about, if you prefer that! Hopefully they’ll help you quickly remember this post!
and
I also have this page that has an organized list of my blog posts, so you can use it to quickly find any math, phonics, writing, or classroom management topic you need! 🙂
I hope that’s helpful!! Thank you again for stopping by my blog! I so appreciate you taking the time to read my teaching ideas and I hope you enjoyed them!
Subtract 2Digit Numbers by Using Place Value — Math Games
Subtract 2Digit Numbers by Using Place Value — Math Games — SplashLearn
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Subtract 2Digit Numbers by Using Place Value
Dive deep into the world of math by subtracting 2digit numbers by using place values.
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SUBJECTS & TOPICS
Give your child food for the mind with this game on subtraction. Concepts like subtraction can be confusing for kids, but with practice they can gradually get more comfortable. The game aims to build proficiency in subtraction using place value chart as a tool.
Explore Amazing Games on Subtract within 100 with Regrouping
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Subtraction
Use Place Value to Subtract
Take the first step towards building your math castle by practicing to use place values to subtract.
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Subtraction
Subtract By Regrouping
Learn to solve math problems through subtracting by regrouping.
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Subtraction
Subtract the Numbers by Regrouping
Begin the exciting journey of becoming a math wizard by learning to subtract numbers by regrouping.
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Subtraction
Complete the Subtraction Sentences
Use your subtraction skills to complete the subtraction sentences.
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Subtraction
Subtract 2Digit Numbers by Using Place Value
Dive deep into the world of math by subtracting 2digit numbers by using place values.
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Subtraction
Subtract 2Digit Numbers by Regrouping
Learn to solve math problems by subtracting 2digit numbers by regrouping.
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Subtraction
Subtract Numbers by Regrouping
Enter the madness of mathmultiverse by exploring how to subtract numbers by regrouping.
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Subtraction
Complete Subtraction Sentences by Regrouping
Enjoy the marvel of mathmultiverse by learning to complete subtraction sentences by regrouping.
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Discover Fun Games on Subtraction With Regrouping
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Subtraction
Remove and Match the Number
Enjoy the marvel of mathmultiverse by exploring how to remove and match the number.
PreK
K
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Subtraction
Take Away to Match the Number
Apply your knowledge of subtraction to take away to match the number.
PreK
K
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Subtraction
Find One Less
Unearth the wisdom of mathematics by learning how to find one less.
PreK
K
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Subtraction
Subtraction with Pictures
Shine bright in the math world by learning how to subtract with pictures.
PreK
K
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Subtraction
Subtract Using Pictures
Shine bright in the math world by learning how to subtract using pictures.
PreK
K
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Subtraction
Find the Difference Using Models
Ask your little one to find the difference using models to play this game.
PreK
K
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Subtraction
Subtract and Match the Number
Begin the exciting journey of becoming a math wizard by learning to subtract and match the number.
PreK
K
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Subtraction
Subtraction Equations
Unearth the wisdom of mathematics by learning how to complete subtraction equations.
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Subtraction
Subtraction Symbol
Take the first step towards building your math castle by practicing the subtraction symbol.
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Subtraction
Solve Subtraction Scenarios
Apply your knowledge to solve subtraction scenarios.
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Subtraction
Represent Subtraction
Learn to solve math problems by representing subtraction.
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Subtraction
Solve Subtraction Sentences
Enjoy the marvel of mathmultiverse by exploring how to solve subtraction sentences.
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Subtraction
Use Subtraction Sentences to find the difference
Dive deep into the world of subtraction by using subtraction sentences to find the difference.
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Subtraction
Identify the Difference
Let your child see the world through mathcolored shades with our ‘Identify the Difference’ game!
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Subtraction
Solve Word Problems to Find the Difference
Kids must solve word problems to find the difference to practice subtraction.
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Find Engaging Games on Subtraction
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Subtraction
Make the Subtraction Sentence
Take a deep dive into the world of math by making subtraction sentences.
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Subtraction
Choose the Correct Expression
Have your own maththemed party by learning how to choose the correct expression.
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Subtraction
Count to Tell One Less
Take a look at how to count to tell ‘one less’ with this subtraction game.
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Subtraction
Subtraction Scenario
Take a look at subtraction scenarios with this game.
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Subtraction
Subtract using Counters
Begin the exciting journey of becoming a math wizard by learning how to subtract using counters.
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Subtraction
Take Away Scenario
Use your subtraction skills to solve ‘Take Away’ scenarios.
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Subtraction
Identify One Less within 10
Add more arrows to your child’s math quiver by identifying one less within 10.
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Subtraction
Determine One Less
Have your own maththemed party by learning how to determine ‘one less’.
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Subtraction
Word Problems on Subtraction
Add more arrows to your child’s math quiver by solving word problems on subtraction.
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Subtraction
Identify the Objects Left
Take the pressure off by simplifying subtraction by identifying the objects left.
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Subtraction
Word Problems on Take Away
Kids must solve word problems on ‘Take Away’ to play.
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Subtraction
Subtract Two Numbers (Up to 5)
Take a deep dive into the world of math by subtracting two numbers (up to 5).
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Subtraction
Subtract Within 5
Practice the superpower of subtraction by learning how to subtract within 5.
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Subtraction
Finding the Difference (within 10)
Ask your little one to find the difference (within 10) to play this game.
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Subtraction
Subtract the Numbers (within 10)
Unearth the wisdom of mathematics by learning how to subtract numbers (within 10).
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Related Worksheets
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Subtraction
Complete Subtraction Sentence Using Pictures
Help your child revise subtraction by completing subtraction sentences using pictures.
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Subtraction
Represent Subtraction Sentences
Make math practice a joyride by solving problems to represent subtraction sentences.
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Subtraction
Use Pictures to Subtract
Learners must use pictures to subtract to enhance their math skills.
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Subtraction
Subtraction Word Problems with Pictures
Print this worksheet to practice subtraction word problems with pictures like a math legend!
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Subtraction
Subtraction Sentence Worksheet
Pack your math practice time with fun by revising subtraction sentences.
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Subtraction
Complete the Subtraction Equation
Reveal the secrets of math wizardry by practicing to complete the subtraction equation.
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Subtraction
Solve Subtraction Sentences Using Pictures
Pack your math practice time with fun by solving subtraction sentences using pictures.
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Subtraction
Subtraction Problems on Take Away
In this worksheet, learners will get to practice subtraction problems on ‘Take Away’.
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Subtraction
Solve Subtraction Problems using Apples
Pack your math practice time with fun by solving subtraction problems using apples.
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Subtraction
Subtract using Objects
Combine math learning with adventure by solving to subtract using objects.
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Subtraction
Represent and Solve Subtraction Equations
Use this printable worksheet to represent and solve subtraction equations.
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Subtraction
Add and Subtract
Be on your way to become a mathematician by practicing to add and subtract.
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Subtraction
Identify the Correct Subtraction Sentence
Focus on core math skills with this fun worksheet by identifying the correct subtraction sentence.
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Subtraction
Subtraction on 10frames
Use this printable worksheet to practice subtraction on 10frames to strengthen your math skills.
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Subtraction
Represent Subtraction Sentence on 10frames
Put your skills to the test by practicing to represent subtraction sentences on 10frames.
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How to Teach Those Tricky 2 Digit Subtraction Strategies
As part of common core, we give students many strategies to help them find the answer to 2 digit subtraction problems. I like how these 2 digit subtraction strategies give students choices on how they can solve a problem. They help build meaning and number sense within the operation.
But here’s the thing… They can be a lot! Sometimes our curriculum goes too fast for students and they don’t quite master them and end up confused. That is why I am sharing the way I teach these strategies and the activities I give to my students to help them get the practice they need.
Before we get started, for students to truly be successful with these strategies they need a solid foundation with math facts. If students have to take time to recall or figure out a math fact, it can get them confused for what they are doing with the 2 digit subtraction strategy.
So no worries, I’ve got something special for you. I’m sharing my 7 Steps to Ensure Math Fact Fluency in a free workbook for 1st and 2nd grade teachers. Download your free copy here.
Okay, let’s get started with the 2 digit subtraction strategies I teach in my classroom.
2 digit subtraction strategies can be tricky for students, but there are little tricks you can do to help students build number sense and understanding when it comes to these 2 digit subtraction strategies.
Hundreds Chart
First, we have students working with a hundred’s chart for them to solve 2 digit subtraction problems. For this strategy, I really need to make sure that students understand the patterns with the hundreds chart.
I want my students to know that if they go up on the hundred’s chart, they are subtracting by tens. They need to know if they go left on the hundred’s chart, they are subtracting by by ones.
This 2 digit subtraction strategy helps students use patterns to solve them math problems.
When I have my students look at a 2 digit subtraction problem like 7235, I first ask what number we start with on the hundred’s chart. They need to know with subtraction, we have to start with the bigger number.
Then I ask how many tens are in 35. Three tens. So we go up three rows on the hundreds chart. We still need to take away the ones in 35. How many ones are in 35? There are 5 ones. So we go left 5 ones. We land on 37 so that is our answer.
I have students get lots of practice with this. It’s important that they have plenty of space on clean hundreds charts to not get confused. So I have them work on hundred chart worksheets and fun scoot activities. They can be used as centers or whole group activities. Find these Subtraction Hundreds Chart Activities here.
Open Number Line
With this 2 digit subtraction strategy, students make jumps back on a number line. They can also count on to subtract on a number line. This can be confusing to students at first, but if they have a good foundation with fact families, it makes sense that they can use addition to subtract. To learn more about fact families, read this blog post: 3 Reasons You Need To Teach Fact Families
The open number line 2 digit subtraction strategy can be extra tricky for students. That is why I give my students lots of practice with this 2 digit subtraction strategy.
For teaching this strategy, I draw a number line on the board and write an equation. Let’s use the example of 6324. I show my students that if we are counting back on the number line, I will start by putting 63 on the right side.
Then I ask how many tens are in 24. There are 2 tens so I will make two jumps back and label them.
Next I ask how many ones are in 24. There are 4 ones so I will make 4 jumps back and label them. I landed on 39 so that is the answer.
Students really need a lot of practice with this strategy. I find it helpful when I give them enough space on a number line and remind them to leave spaces in between their numbers so they can actually read their writing.
I have my students practice with worksheets and scoot activities. Find the 2 Digit Subtraction Number Line Activities resource I use here.
Break Apart
This 2 digit subtraction strategy is often a favorite with my students. In this strategy, students break the number being subtracted into tens and ones. Then break apart the ones another time if needed to get down to the next tens to make it easy.
The break apart strategy is a student favorite in my classroom!
This takes some practice. I just start by having my students practice break apart the ones so that they can get to the next tens. For example, I may show them if we have 459, I’m going to break apart the 9 into 4 and 5. Then I can think about it as 455=40 and 404=36.
Then I’ll add the tens into it, like 4519. They would just take away a ten first so it would look like 4510=35. 355=30. 304=26.
I like to provide my students with worksheets that have boxes that help them think about breaking apart the number. Find the worksheets and other activities I give my students here.
Tens and Ones Chart
This strategy is the regular 2 digit subtraction algorithm. For students to truly understand the meaning behind the steps, we use models, draw pictures, and then just use numbers.
When it comes to 2 digit subtraction with regrouping, students needs lots of practice with models, pictures, and using tens and ones charts.
I like to show my students when we need to regroup. I often say something like, “If I have 5 ones, can I take away 8? Nope, I need to regroup.”
Find the worksheets and activities I use to help students answer 2 digit subtraction with regrouping here.
I hope that you have found many tips in helping students master these 2 digit subtraction strategies. It comes by teaching to build number sense and giving students a lot of practice. Find all of my 2 digit addition and subtraction strategies all in one bundle here.
For more on how to teach 2 digit addition strategies, read this blog post: 2 Digit Addition Strategies That Work
For extra help for getting students to fluently add and subtract 2 digit numbers, they need to be fluent in math facts 120. Download my free workbook for help: 7 Steps to Ensure Math Fact Fluency.
Download it here.
Addition and subtraction of twodigit numbers — techniques with examples — ROSTOV CHILDREN’S HELP CENTER No. 7
Contents
Lesson 30. Written methods for adding and subtracting twodigit numbers without passing through a dozen — Mathematics — Grade 2
Mathematics
Lesson No. 30. Written techniques for adding and subtracting twodigit numbers without going through ten0002 — How to write twodigit addition without jumping through ten.
Glossary on the topic:
The sum of the place terms is the representation of a twodigit number as the sum of its places (tens and ones).
Algorithm — sequence of actions (steps)
Addition is the union of objects into one whole. The result of adding numbers is a number called the sum of numbers (terms).
Basic and additional literature on the topic of the lesson (exact bibliographic data with page numbers):
 Mathematics. Grade 2 Textbook for educational organizations. In 2 hours, Part 2 / M. I. Moro, M. A. Bantova, G. V. Beltyukova and others — 5th ed. — M .: Education, 2014. — p.4.
 Mathematics. Workbook. Grade 2 Textbook for educational organizations. In 2 hours, Part 2 / M. I. Moro, M. A. Bantova — 6th ed., revised. — M .: Education, 2016. — p.3.
 For those who love mathematics. Handbook for students of educational organizations. M. I. Moro, S. I. Volkova — 9th ed. — M .: Education, 2014. — p.16.
 Mathematics. Notebook of educational achievements. Textbook for educational organizations. S. I. Volkova — M.: Education, 2017. — p.40, 41.
Theoretical material for selfstudy
Let’s find the value of the expression 25 + 43 in different ways:
 using graphical models:
+
=
we will use the general rule for adding twodigit numbers. Let’s replace the number with the sum of digit terms, add tens to tens, and units to units: 68
 we use counting sticks:
+
=
No matter how we add it up, the result is the same — 68 . But all these calculations are large and cumbersome. When adding twodigit numbers, it is more convenient to write the solution of examples in a column. Then it is easier to calculate the sum. Please note that the numbers are written under each other, the cells are not skipped.
Find the sum of the numbers 36 and 23 . Numbers are written one under the other so that tens are written under tens and units under units.
On the left, a plus sign is placed between the numbers. A line is drawn under the numbers, below which the amount will be recorded.
Remember, written addition starts with units.
Add 6 units and 3 units. We get 9 units. We write 9 under the units.
Now add up the tens. 3 tens and 2 tens equals 5 tens. We write 5 under the tens. Now you can read what the sum is equal to. The sum is fifty nine.
A handout will help you to perform written addition.
Conclusion:
When writing the addition of twodigit numbers within 100 without passing through the category, we will rely on the bit composition of the numbers. Numbers are written in a column without skipping cells, tens under tens, units under units. Dozens will be added to tens, and ones to units. The result is written under the numbers, under the line, without gaps in the cells.
Training tasks.
1. Choose examples that are correct.
Correct answers: No. 2, No. 3
2. Calculate and place a card with the answer in each box.
Addition and subtraction of twodigit numbers. Problems in Mathematics Grade 2
Problem 1
There are 20 days left until the end of March. How many days have already passed?
Solution:
 1) 31 — 20 = 11
 Answer: 11
Task 2
After the dressmaker has used up 8 spools of thread, she has 4 spools of white, black and colored thread. How many spools of thread did she have at first?
Solution:
 1) 3 * 4 = 12
 2) 8 + 12 = 20
 Expression: 3 * 4 + 8 = 20
 Answer: 20
Problem 3
There are only 2 houses in a certain kingdom. In the first house there are 7 children and 6 adults, and in the second house there are 17 people, of which 9 are adults. Make up questions for this condition according to the scheme and sing them. What else can you ask?
Solution:
 1) Make questions according to the scheme.
 Which house has more children and by how many?
 17 — 9 = 8 (Children in the second house)
 8 — 7 = 1
 How many people are there in the first and second houses?
 7 + 6 = 13 (Total people in the first house)
 17 + 13 = 30
 2) What else can you ask?
 Which house has more people and by how many?
 Which house has more adults and by how many?
Problem 4
Misha invited Kolya to his garden where apples and pears were ripening. Misha picked 8 apples and 5 pears, and Kolya picked 3 apples and 9pears Misha ate 6 of his fruits, and Kolya ate 4 of his. The rest of the fruits they picked, each boy carried home. Which of them brought home more fruit and by how much? What else can you find out?
Solution:
 1) 8 + 5 = 13 (Misha tore off)
 2) 9 + 3 = 12 (Sorval Kolya)
 3) 13 — 6 = 7 (Misha carried home)
 4) 12 — 4 = 8 (Kolya carried home)
 5) 8 — 7 = 1
 Answer: Kolya brought home 1 more piece of fruit.
What else can you find out?
 How many more apples did Misha pick than pears? 8 — 5 = 3
 How many more pears did Kolya pick than apples? 9 — 3 = 6
 Who picked more fruit and how much? 13 — 12 = 1
 Who picked more apples and how many? 8 — 3 = 5
 Who picked more pears and how much? 9 5 = 4
Problem 5
The kids sat on the bench. Thumbelina — takes 1 cm, Dunno — 6 cm, and Dr. Pilyulkin — 8 cm. Will they all fit if the bench is 2 dm long?
Solution:
 1) 1 + 6 + 8 = 15
 2) 2 dm = 20 cm
 3) 20 cm > 15 cm.
 Answer: The little ones will fit on the bench.
Problem 6
The height of the gnome is 43 cm, and the length of his bed is 4 dm 8 cm. Will the gnome fit on the bed?
Solution:
 1) 4 in. 8 cm = 48 cm
 2) 43 cm < 48 cm
 Answer: The bed is longer than the height of the gnome, so the gnome will fit on the bed.
Problem 7
The sum of the lengths of all sides (perimeter) of a triangle is 9 dm 8 s One side is 3 dm and the other is 26 cm. Find the length of the third side.
Solution:
 1) 3 dm = 30 cm
 2) 30 + 26 = 56
 3) 9 in. 8 cm = 98 cm
 4) 98 — 56 = 42
 Answer: 42 see
Problem 8
One side of the triangle is 7 cm, the second is 8 cm, and the third is 4 cm more than the second side. Find the perimeter of the triangle.
Solution:
 1) 8 + 4 = 12
 2) 12 + 7 + 8 = 27
 Answer: 27
Problem 9
 Solve examples. What do you notice?
Solution:
 1)
Material from L. G. Peterson’s book “Mathematics Second Grade. Part 2″.
Link to the author’s website:
www.sch4000.ru
Algorithm for addition and subtraction of twodigit numbers
Lesson 40. . Algorithm Address and subtraction numbers 9000 – 14, 82 + 18, 100 – 820002 Subject.
1. Solve the problem.
Timur attended 50 classes in the sports section in the first quarter, and 13 less in the second. How many classes did he attend in two quarters?
1. Solve the problem.
Timur attended 50 classes in the sports section in the first quarter, and 13 less in the second. How many classes did he attend in two quarters?
1. Solve the problem.
Timur attended 50 classes in the sports section in the first quarter, and 13 less in the second. How many classes did he attend in two quarters?
Date: 



9000  9000 2. 1.1.1.1.2.8.8. Apply the algorithm for adding and subtracting twodigit numbers.  
Lesson objectives 
All students will: Many students will: apply the addition and subtraction algorithm in writing. Some students will: perform all calculations without error, find or write examples of calculations of this type. 

Success criteria 
Student: Finds the values of expressions like: 34+23, 5723; 27+34.6127; 47+33. 8047 

Languages 
Students can: Comment written and subtracting twodigit numbers according to the algorithm. Subject vocabulary and terminology: Algorithm for written addition and subtraction of twodigit numbers without passing through ten. 

Descriptors 
Student — selects the answer to find the result of the addition operation — selects the answer to find the result of the difference of numbers of the computational method of the form 5723; — selects the answer to find the result of the addition action of the computational method of the form 27+34; — selects the answer to find the result of the difference of numbers computational reception of the form 6127; — selects the answer to find the result of the addition action of the computational method of the form 47+33; — selects the answer to find the result of the difference of numbers of the computational method of the form 8047. 

Inculcation of values 
Inculcation of responsibility, independence0406  
03 
(K) Motivation. The teacher tells the topic of the lesson and asks:
in a circle, section? (responsibility, independence).
During the conversation, the students remember what they need for this: memorize, collect and bring everything you need for classes; — organize your time in such a way that you can do everything. Students come to the conclusion that the ability to count will help them develop these qualities. Today we will go to the country of Sportland and find out what sports clubs there are in this country. You have an evaluation sheet on your desks. We will not only travel, but also complete assignments.0003 5. Write down the number in which 4 dec. 8 units 6. How much must be added to 10 to get 17? 7. Yesterday the student read 29 pages, and today 3 pages less. How many pages did the student read today? 8 How many threes are there in 6? 9. There were 18 notebooks on the table, 10 of them were put away in the cupboard. How many notebooks are left on the table? 

1025 
Opening new. I’m in a hurry to train, I fight skillfully in a kimono. I need a black belt, Because I love … Task No. 3 from the textbook, students perform in a column, in accordance with the algorithm. At the end, make a check. Selfemployed work. Page 21 No. 3 1,2 columns) Offers several examples similar to the previous task for individual execution, followed by selfexamination according to the standard (sample). Identifies children who have made mistakes. Offers to find a way out of the difficulty 
Textbook P.2021. 

26 35 
Application new. On the squares of the board The kings brought the shelves together. None for regimental combat No cartridges, no bayonets. Solution of the problem Timur attended 50 classes in the sports section in the first quarter, and 13 less in the second. How many classes did he attend in two quarters? Fizminutka 
Notebook 

Work on previously learned Players in this sport Solution of equations x + 400 = 600 s — 300 = 500 The team conquers here, if the ball does not drop by the ball. . He flies with a pitch accurately Not at the goal — through the net. and a site, not a field In athletes in … Work on the textbook 

3640 
Reflect. Success Tree 

Differentiation In terms of independence and volume of completed tasks 
The teacher conducts a formative evaluation. 
Health and compliance with safety precautions Charging for the eyes Physmine «Dance» 

Reflection Was the objectives of the lesson /academic purposes? Did all students achieve their learning goals? If not achieved, why do you think? Was the analysis carried out correctly? Were you able to use your time effectively during the lesson? Were there deviations from the lesson plan and why? 
Written addition and subtraction of twodigit numbers.
F
To repeat the written addition and subtraction algorithm.
What do we need to work on?
2 min
1. Restore the order of actions.
Task: restore the written calculation algorithm + and —
I write units under units, tens under tens…
2. Reserve task.
3. Compose and solve the problem.
Task: Make a problem according to the scheme and solve it.
34 + 23
? — 41
?
1) come up with 3 examples of addition and subtraction of twodigit numbers, write them in a column and solve;
4) practicing the ability to solve examples http://pedsovet. su/load/5392 — NS: Interactive simulators for addition and subtraction
Evaluation sheet for students _______________________________________________
Mathematics lesson 
Date ___________ 
Class 2 

9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 009 
Written addition and subtraction of twodigit numbers . 

Reference: 
Mathematics textbook for grade 2 — Almaty, «Atamura», 2013. (T.K.Ospanov, K.A.Eresheva, Sh.Kh.Kurmanalina, M.V.Markina) 

General goals: 
1. Create conditions for practicing the ability to perform written addition and subtraction using the appropriate algorithm. 2. Develop communicative competence through dialogue, enrich students’ vocabulary. To form an active civic position of the student. 

Tasks: 


Learning outcomes: 
Pupils know the digit composition of numbers, written addition and subtraction algorithms for twodigit numbers.  
Organization class 3 min . 
The class begins with a greeting from the students. Psychological attitude to the lesson. — On such a beautiful winter day I’m very glad to see you, Let’s say it loud together — We are all a team, super class! — Well done. Sit down. During the lesson, we will try to prove that we are a really closeknit team, ready for any challenge. — Very serious trials are ahead of every citizen of Kazakhstan. — What big sporting event will take place in our country literally in 2 days? – Winter Universiade — Quite right! We will talk about it in more detail in class. Well, for now, we will hold a mathematical competition. Each member of the class must strive to win today and receive an award. At the end of the lesson, we will reveal the winners of the mathematical competition. Are you ready for the test? Wish you luck. Biathlon, * Curling, * HOSTOSKENT, ball hockey (new sports included in the Universiade) — take the group for successful work in the group. 

I Stage — Call Purpose Cumulative conversation: 
9000 9000 5 min. 
Date entry. Calligraphic minute — As skaters draw beautiful patterns on ice, so we will calligraphically write the number 26 line. Exchange notebooks, find the most beautiful number 99 written by your neighbor and underline it. U. – Guys, what are your bands called? U. Why do we use these words today? D. — Because these are winter sports. — The new year 2017 has just begun, and a largescale sports festival is already on the nose. Meet the Winter Universiade 2017! Thousands of young athletes — the beauty and pride of university youth from dozens of countries — will join the fight this January on the sports grounds of Kazakhstan’s Almaty. Many of them are future contenders for the “adult” team: history remembers many famous champions who won their first Olympic medal while in student status. So do not miss live broadcasts and keep fists for «ours». Who knows, maybe we will witness the rise of a new star?! The 28th Winter Universiade will be hosted by the former capital of Kazakhstan, Almaty. In its sports arenas, students from all over the world will take part in competitions from January 28 to February 8. There will be hockey battles, curling, snowboarding and biathlon competitions for two weeks. In total, the tournament is designed for 13 sports, which will be held among men and women. – Today, while completing the tasks of the lesson, we will check whether you have the qualities of real athletes? — What qualities should an athlete have? (to be strong, dexterous, attentive, quickwitted) — But let’s not forget about our math lesson. — What branch of mathematics are we studying? – written methods of addition and subtraction – What is the object of study in today’s lesson? – methods of addition and subtraction — What methods of addition and subtraction do you know? – oral and written — What methods have we not worked out yet enough? – written — Formulate the topic of today’s lesson. — Written methods for adding and subtracting twodigit numbers . — What do we already know ? – different ways + and — and their corresponding algorithms – Then what is the purpose of the lesson ? — practice writing addition and subtraction using the appropriate algorithm. – Why do you need to be able to do this? (To correctly + and — twodigit numbers, and then apply this ability in practice, i.e. in life) — How will we plan our work in the lesson? — What shall we do first? What then? Work plan. — Let’s remember algorithms + and . — I will work out ways to calculate . — I will check myself. — I will rate myself. ( Make up a work plan according to the scheme.)


II stage — Comprehension 
5 min. 
U. – What do you need to know in order to correctly perform addition and subtraction? D. Know the theory well. — Athletes do not become champions immediately, they train for a very long time. Now we are going to do a math workout. Look carefully at the pictures according to which you were divided into groups? What is painted on them? What do these words mean? (sports) Good! We all know such sports as figure skating, hockey, crosscountry skiing. What is biathlon? (Biathlon is a kind of winter biathlon, which includes crosscountry skiing and rifle shooting.) Here we will play now, and I will find out who is the most attentive among us. I Restore the order of actions. (Individual work). Task: restore the written calculation algorithm + and — *Add (subtract) units… *Write the result under tens… *Read the answer. . *Write units under units, tens under tens… *Add (subtract) tens… 3 result write in units. KEY TO VERIFICATION – mutual check in pairs 1. I write units under units, tens under tens… 2. I add (subtract) units… 3. I write the result under units. 4. I add (subtract) dozens … 5. I write the result under the dozens … 6. I read the answer … 

9000 3 min. 
Selfassessment based on model response. Completion of the evaluation sheet ( Annex 1 ). The number of points corresponds to the number of correct words. 

Reflection 
2 min 

Physminet 
1 min 
Well done, you have worked well. All competitions have breaks. Here we are going to rest a little. Let’s tell you how we live. “Good” physical minute Is it good that the sun is shining? (mimic the sun) 

Development of practical skills. group work individual work 
— The competition continues. — Can everyone skate? We will take part in the short track. Short track speed skating. Now we will find out if you have the second magical quality of athletes — speed. Skaters draw monograms with skates And the Earth is surprised by the dexterity of athletes School is in full swing, and every day goes Kazakh athletes go forward, forward, forward! — And now let’s continue our math training, according to the second paragraph of the lesson plan. II Solution of 1) Task: Complete calculations on the chain 67 28 42 63 18 25 36 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 27 schoolcollection.edu.ru/dlrstore/95bbf00b54994ae1a3e70a5c8f03464e/%5BNSMATH_23357%5D_%5BIM_048%5D. html KEY TO VERIFICATION — check on slide 2 ) Reserved reference. 9min. 
Selfassessment based on model response. Filling out an evaluation sheet. Appendix 1 

Reflection 
for which the task was sent? The ability to add and subtract twodigit numbers in writing. What do we need to work on? 

Physmine 
1 min 
Winter For prevention, we need to do a massage. Repeat the movements after me. Soothing the forehead Soothing the spout So that the eyes can see everything So that the ears can hear everything So that the neck does not get tired So that the chest breathes easily We need to do a massage We are very happy with our health! Lead a healthy lifestyle and be healthy! 

Creative task. Group work. 
5 min 
III Problem solving — Snowboarding is a winter sport, descending from snowcovered slopes and mountains on a special equipment — a snowboard. Attention! — You need to get down the mountain without making mistakes Task: Write a problem according to the scheme and solve it. 34 + 23 ? — 41 ? KEY TO VERIFICATION — mutual verification in the group Arrived — ? 34+23 Settled in – 41h. 41 Remaining — ?h. 34+23=57 (hours) 5741=16 (hours) Answer: there are 16 people left. 5 min. 
Mutual assessment in groups according to the model answer. Completing the evaluation sheet. — Well, now it’s time to sum up. What have you achieved today? – What topic did we work on today at the lesson? — Written methods for adding and subtracting twodigit numbers . — What was your goal? — practice writing addition and subtraction using the appropriate algorithm. — Have we achieved this goal? — Yes. — Review scorecards. Put the final score and translate it into an assessment. Pay attention to those tasks in which there are shortcomings. — Rate yourself. If everything worked out for you, everything was clear to you, then attach a flag to the pedestal with the first place, if something was a little incomprehensible to you, to 2nd place, and if you didn’t understand anything at all, then to 3rd place. 

Homemade Task (Upon Selection) 9 
1 min. 
1) come up with 3 examples of addition and subtraction of twodigit numbers, write them in a column and solve; 2) 3) color the picture 

1 point 

2 
Solution of examples
Task: Complete the calculations on the chain 
The ability to perform a written addition, and the corresponding appropriation, the corresponding compliance. 
All examples are correctly solved 
4 points 

3 examples are correctly solved0009 Org. moment. 2) Knowledge update. Game «Decoder». A minute of calligraphy. Differentiated operation with cross checking . Summing up a mini summary. Oral account. The game «Who is faster!» Summing up mini total. Statement of the learning task. 
The bell has rung for us! Everyone stood up nicely at their desks, Greeted politely, Sit quietly, backs straight. Let’s all breathe lightly. Let’s start the math lesson. Today we are going on a journey to a mysterious city. You will find out what kind of city this is by deciphering the message of the inhabitants of this city, working in groups. — So, which city are we going to visit today? Let’s start our journey from Numeric Street. Residents of Chislovaya Street have prepared for you very interesting facts about the science of mathematics that you did not know before. But they will tell these interesting facts after you correctly complete their tasks. Guys, are you ready to do the tasks? 1. Find the pattern and write down the following number: 15,10,20,15,25,… What can you say about this number? 2. From the numbers 3,15,1,10,20,7,72,21,30,48,9,17,71,100,98. Write down in order: — who has red squares on the table — all singledigit numbers in descending order. — who has blue squares on the table — twodigit numbers in ascending order. Let’s check the work. Swap notebooks, pick up pencils. One student names the numbers, all the rest check. (There is also a test standard on the board) Evaluate the work in the fields. — Raise your hand, those who have not made mistakes. — Raise your hand those who made 12 mistakes. I recommend others to be more careful. What number was not written down by either one or the second group? Why? Guys, you have completed all the tasks of the inhabitants of Numeric Street and now you will find an interesting fact about numbers. Let’s continue our journey. The next people to meet us are the residents of Counting Street. They also prepared interesting facts of mathematics for us, but first we need to complete the tasks. — What tasks do you think the residents of Counting Street prepared for us? — Absolutely right! 1) Answer the questions: — what number is greater than 7 by 5? — what number is less than 9 by 3? — find the sum of the numbers 3 and 9; — find the sum of the numbers 7 and 7; — find the difference between numbers 11 and 4. 2) The game «Who is faster!» (Examples are written on the board for each row, the students, on a signal, begin to solve examples and write down answers according to the relay race principle. Which row finishes faster and without mistakes wins.) Upon completion of the task, the correctness of the task is checked and the winners are determined. — What do all these examples have in common? Guys, you have completed all the tasks of the residents of Counting Street and now you will find an interesting fact about the score. Guys, tell me, what numbers did we work with? What tasks shall we set for ourselves at the lesson today? What shall we repeat? What skills will we strengthen? 
Children greet each other. Children work in groups, decipher the word. Zanimatika 20 — twodigit, — round, — even, — consists of 2 des. 100
Oral account Pupils verbally respond:
9000 9000 6 9000 12 14,0009 7 90 10 10 50 40 60 70 90 9000 9000 9000 50 80 Code and subtraction of round numbers. doubledigit we will continue to learn to add twodigit numbers algorithm for adding twodigit numbers application of the algorithm when solving examples and problems, 
L. UUD (motivation to work, student motivation) 
II . Operational and executive Work in pairs. Solution of examples with explanation. Differentiated independent work. Summing up a mini summary. Fizminutka Problem solving workbook page 26. No. 7. Group work. Creative work with a task in pairs Workbook p. 27, No. 10. Summing up a mini summary. Frontal operation. Independent work Workbook p. 27, No. 9 Summing up a mini summary. Problem solving orally. Textbook page . 72 No. 20 Independent solution of examples Workbook p. 26, No. 6 
As in the rest of the streets, surprises await us. To do this, you need to be careful and correctly solve examples. What examples did we solve in the previous lesson? Recall the algorithm for written addition of twodigit numbers. To do this, working in pairs, restore the algorithm for written addition of twodigit numbers. Adding units. (the number of units of the amount — I write under units, and I remember 1d ) I write … (units under units, dozens under tens) I fold tens of Reply: … I increase Number quantity number tens per 1 . I write the result under tens. — Why do you need to know the algorithm? Look at the examples on the blackboard: — In which examples can you perform calculations orally? — In what examples will we solve, writing in a column? Solve these examples with explanation. Please list the answers you received in ascending order. And now I’ll check how you learned to apply the algorithm yourself. — those who have red squares on their desk solve the examples written on the board. — those with blue squares — perform No. 5 on page 68. Let’s check how you did this task: — those who have red squares — check on their own according to the standard from the board. — those with blue squares — subtract the answer of the second example from the answer of the first example, if you got 34, then you solved the examples correctly. Stand up those who correctly solved the examples. — Well done! We have worked hard, and the inhabitants of Propriny Lane have already prepared an interesting fact. Now let’s rest a little. The sun hid behind a cloud — But this is just for fun! And we will all spend together Sports minute: We will clap our hands And stomp a little. Once — sat down, two — stood up, Three — bent down and got Right handle shoe, 900 ceiling Let’s sit down one more time! Now let’s sit down. We’re a little tired, Let’s rest for a minute. Gained strength and set off. Now we are on Zadachnaya Street, where we will solve problems. Open the workbook on page 26. Z. No. 7. There are 24 cows, several calves and 3 bulls in the herd. Is it possible to find out how many animals are in the herd? — read the condition of the problem in unison. — is it possible to answer the question of the problem? — why? Prove it! What needs to be done to solve the problem? Working in groups, add the required data and solve the problem. Let’s check what problems you got and how you solved them. (representatives of the groups are heard). Let’s continue and solve the following problem in r. p. 27, h. No. 10. Before dinner, there were * glasses of juice in the jug. After dinner, there were *glasses of juice left in the jug. How many glasses of juice did you drink at lunch? What is the problem about? What are the main words? What is known? What do you need to find? What action will we find how many glasses of juice we drank at dinner?. Now, working in pairs, insert the numerical data of the problem and solve the resulting problem. Several pairs are listened to to check the execution. Before moving on to the next street, an interesting fact from the inhabitants of Zadachnaya street. Look closely at the screen. What do you see? — What are the numbers of figures that are quadrilaterals. Find the pentagons. Remember what is the axis of symmetry? Draw an axis of symmetry for each figure in task No. 9, page 27 (workbook). But the inhabitants of Geometric street offer you to solve puzzles. What do we need to solve puzzles? Here we are on the central square of the city of Zanimatika. It was called Logical, because without logic in mathematics there is no way to cope. — Let’s check how we can think, draw conclusions. Each of the three girls — Valya, Galya and Dasha — holds one gladiolus: red, white, yellow. Valya’s is neither red nor white, and Gali’s is not a red gladiolus. What color is Dasha’s gladiolus? — Read the problem. Who can answer? You coped with the task, and now show how you learned to solve examples, but not simple ones, but with missing numbers. R.t. Page 26 No. 6 6 * 5 * 43 * 5 + + + * 7 * 6 000 2 * 9000 99 88 72 100 Let’s see how you did. What are the numbers that you inserted in example 1, 2,3,4. If you have such numbers, then you completed the task without errors. Well done! 
Written addition of twodigit numbers (general case) 1. I am writing… (ones under units, tens under tens) 2. Adding units. (the number of units of the sum — I write under the units, and I remember 1d ) 3. I add tens. 4. I increase the number of tens by 1 . I write the result under tens. 5. Answer: … To solve examples correctly 0009 29 53 36 + + 27 77 80 9000 77 80 9000 000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 9000 000 72 34 No Insufficient data, unknown number of calves. Add data About the juice of , they drank, were left as much as , remained and how much ,
Geometric figures 9000 9000.9000 1.3,4. 6 Logical thinking V.G.D. cr. 2 2 7 3 3 29 5 
P UUD independent creation of ways to solve problems of a creative and exploratory nature based on the method of reflexive selforganization construction of a logical chain of reasoning synthesis — making the whole out of parts; comparison. K UUD expressing one’s thoughts with sufficient completeness and accuracy taking into account different opinions, coordinating different positions in cooperation formulating and arguing one’s opinion in communication (K) P UUD search and selection of necessary information; object analysis; synthesis summing up under the concept K UUD — making a decision; — Possession of monologue and dialogic speech P UUD the ability to analyze, the ability to navigate in one’s knowledge system, P UUD the ability to add twodigit numbers according to the algorithm. analysis, synthesis, generalization, analogy, comparison, seriation, classification; Healthsaving technologies P UUD extracting the necessary information from mathematical texts P UUD building a logical chain of reasoning P UUD Partialsearch work, analysis, synthesis of necessary information. C UUD expressing one’s thoughts with sufficient completeness and accuracy R UUD group work; — control of partner’s evaluation and actions; Interaction, ability to cooperate. K UUD cooperate in the joint solution of the problem P UUD analysis of the problem, establishing the relationship between the condition and the question of the problem, choosing and explaining the choice of action — Consciously choose the sign of the arithmetic operation to solve the problem K UUD — cooperation with a friend; — assessment and selfassessment; — argumentation of one’s opinion. R UUD — control and selfcontrol P UUD analysis, synthesis, comparison, generalization, analogy, classification P UUD Convert information from one form to another models independent creation of activity algorithms R UUD control, correction, evaluation K UUD reaching agreements and agreeing on a common solution R UUD be able to evaluate the correctness of the performance of an action 
Online test in Mathematics on the topic Addition and subtraction of twodigit numbers
The oldest branch of mathematical science, arithmetic, is associated with the study of the properties of numbers, actions and rules of calculation. Basic knowledge of computational skills for addition and subtraction of twodigit numbers was laid down in the first grade. The second class is a new stage in the acquisition of knowledge and skills related to familiar arithmetic operations. Carrying out such actions must be mastered and brought to automatism and conscious skill, because they are used in other sections of mathematics. A test can become an assistant and interpreter of the laws of addition and subtraction.
For the successful solution of test questions, it is important to know firmly what twodigit numbers are, what digits have in their composition, addition rules. Tasks repeat and consolidate the theoretical material, practical examples of the test contribute to the development of the ability to solve expressions of the studied type. Test questions highlight and determine the order of actions when adding two numbers, in which, as a result, ten is obtained from units. An example in practice controls the mastery of the computational process in writing and in oral counting.
Subtraction also has its own laws and rules, which are repeated and reinforced with the help of test exercises. The student must figure out how to act if there are not enough units in the minuend to subtract the subtrahend. The solution of the example indicates the solution of the problem, makes it possible to develop logical thinking, memory and attentiveness. The test prepares students for an independent search for solutions to examples and problems, teaches them to carefully study mathematical laws and apply them in practical constructions.
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Grade 1. Maths. Adding and Subtracting TwoDigit Numbers without Crossing a Place — Adding and Subtracting TwoDigit Numbers without Crossing a Place
Teacher’s Comments
In this lesson, we will learn how to add and subtract twodigit numbers without crossing a place.
Read Shaukat Galiyev’s funny poem:
My father and I are learning to count —
Add and subtract.
— Here are two apples for you, —
Dad says —
And now to two apples
I add three.
How much has it become?
— It’s five!
— For the answer I put «five»!
Taking three back…
How much has it become?
— It’s not enough!
You know, dad, I’m 9 again0342
Wanted to add.
And what mathematical symbols help us to add and subtract?
Of course, these are «+» and ««.
Solve the problem:
Teams «Leader» and «Start» played basketball.
«Leader» scored 46 goals, and «Start» — 23 goals.
How many goals did both teams score in the game?
What action will we use to solve this problem?
That’s right, additions, i.e. you need to add the numbers 46 and 23: 46 + 23.
Recall how the components are called when added.
The numbers that we add are the terms, the result of the addition is the sum.
In the number 46 there are 4 tens and 6 ones, so the sum of the bit terms will look like this: = 20 + 3
Let’s add these numbers.
How to do it?
To add twodigit numbers, add tens to tens and ones to ones.
We get:
46 + 23 = (40 + 20) + (6 + 3)
40 + 20 = 60
6 + 3 = 9
So 46 + 23 = 69 (heads).
Answer: both teams scored 69 goals in total.
And if we change the question of the problem, for example, which team scored more goals and by how much?
The solution of the problem will change, it is necessary to subtract the number 23 from the number 46: 46 — 23.
What are the names of the components when subtracting?
The number from which we subtract is the minuend, the subtract is the subtrahend, and the result is the difference.
Subtract 23 from 46.
Both numbers are two digits.
We already know that 46 is 4 tens and 6 ones, and 23 is 2 tens and 3 ones. We subtract in the same way as we add, subtract tens from tens, and units from ones.
We get:
46 — 23 = (40 — 20) + (6 — 3)
40 — 20 = 20
6 — 3 = 3
So 46 — 23 = 23 (goals).
Answer: The Leader team scored 23 more goals.
Consider other cases.
 Take the numbers 46 and 3.
The number 46 is twodigit, and 3 is onedigit.
Then, when adding and subtracting these numbers, only units will be added and subtracted, while tens remain the same.
46 is 4 tens and 6 ones.
So, we get:
46 + 3= 40 + (6 + 3) = 49
46 — 3 = 40 + (6 — 3) = 43
2. Take the numbers 46 and 20. Both numbers are twodigit . But the number 20 is a round number, i.e. contains 0 units, so it is enough to add or subtract tens, and leave the units the same, since when adding a number to zero, the same number is obtained.
46 + 20 = (40 + 20) + 6 = 66
46 — 20 = (40 — 20) + 6 = 26
the digit must be added to tens by tens, to units — units.
2. When subtracting twodigit numbers without passing through the digit, subtract tens from tens, and units from ones.
3. When adding or subtracting a twodigit and onedigit number without passing through the category, we add only ones, and the tens remain the same.
4. When adding or subtracting twodigit numbers, one of which is a round number, it is enough to add tens, and units remain unchanged.
SOURCES
Lesson 2: Two and threedigit addition
/en/additionsubtraction/introductiontoadd/content/
Adding Large Numbers
As we saw in the Introduction to Addition section, you can often use , counting , and , visual effects , to solve basic addition problems. For example, imagine that 3 people are going on a trip and 2 others decide to join. To find out how many people have gone in total, you can imagine the situation like this:
Once you look at the problem visually, you can count and see that 5 people go on a trip.
What if you have a big problem to solve? Imagine that several groups of people are going somewhere together. 30 a person rides on one bus, and 21 rides on another. We could write this as 30 + 21.
It might not be worth solving this problem by counting. First of all, no matter how you decide to count, it will probably take quite some time to resolve the issue. Imagine drawing pencil marks on page 30 and 21, or counting as many small items! Secondly, the actual counting of objects can take quite a long time, and you may even lose count.
For this reason, when people solve a large addition problem, they formulate the problem in such a way that it is easier to solve it step by step. Let’s look at the problem we discussed above, 30 + 21 .
We see that 30 + 21 and mean the same thing. They are just spelled differently.
Solving Stacked Addition Problems
All you need to solve addition problems is the skills learned in the Introduction to Addition section.

Let’s try this problem, 24 + 12.

To solve the addition problem, start by adding the farthest digits to from the right of .

In this case, that means we’ll add 4 and 2.

As with any addition problem, we can use counting to help us add. Since our first number is 4, we’ll start with four objects.

We’re adding 4 to 2, so we’ll use two more objects.

We can count to get a total of 6. We know that 4 + 2 = 6.

Write 6 under the line. It’s important to put directly below the numbers we just added.

Next, we’ll add numbers to to the left of from the ones we just added. These are 2 and 1.

We will use two objects to represent 2.

Then we will add one object to represent 1.

When we count, we get 3.

Let’s write 3 under the line, under 2 and 1.

Done! We have 36 in total, or thirtysix.

Let’s look at another problem, just for practice. This time we will solve 62 + 5.

Let’s start by adding the numbers on the right, 2 and 5.

2 + 5 equals 7. the numbers on the left. The top number is 6, but there is nothing below it.

6 plus nothing equals 6, so we write 6 under the line.

We have 67 in total, or sixtyseven.
As you have seen, addition problems are always solved from on the right to on the left. This means that you always start by adding the digits to the right of .
Try it!
Solve the following addition problems. Then check your answer by typing it in the field.
Adding very large numbers
Accumulation addition can also be used for addition big numbers . No matter how many digits the numbers you add, you add them the same way: from right to left.

Let’s try to add two 3 digit numbers . We’ll end this expression with 213 + 406.

As always, we’ll start with the rightmost digits . Here it means we will solve 3 + 6.

3 + 6 is 9, so we will write 9 directly below 3 and 6.1 and 0. Don’t forget to put it directly below the digits we just added, to on the left of 9.

Finally, let’s add the next set of digits, 2 and 4. 6. Write 6 under the bar, under 2 and 4.

Problem solved. In total we have 619, or six hundred and nineteen. 213 + 406 = 619.
Try it!
Add those big numbers. Then check your answer by typing it in the field.
Using the carrier
On the last page you practiced adding numbers vertically. Some problems require an additional step. For example, let’s consider the following problem:
Our first step is to add the numbers on the right — 5 and 9 . However, you may notice that there is no space to write the sum 14 . When the sum of the two digits in the math problem is greater than 9 , the usual way of adding numbers does not work. You will have to use a technique called carrying .

Let’s see how it works. We’ll try this problem, 25 + 39.

As usual, we’ll start by adding the digits to the right of . Here it is 5 and 9.

5 + 9 is equal to 14, but there is no space to write both digits of 14 under 5 and 9. dash … then we write the left digit, 1, until the next set of digits in the problem.

Do you see what we’ve done? Our sum was 14. We put the 4 under the line, and moved the 1 and placed it above the next set of numbers.

Next we’ll add the left digits. Since we have 1, we will add that as well.

1 + 2 + 3 is 6, so we’ll write 6 under the line.

Done. 25 + 39 = 64.

Let’s practice with one more problem: 178 + 42.

As usual, we’ll start by adding numbers to the right. Here 8 + 2.

8 + 2 equals 10, so it looks like we’ll have to carry.

0 stays under 8 and 2.

Move 1 and place it above the next set of numbers on the left.

Now move to the left to add the next set of numbers. Since we moved 1, add it as well.

1 + 7 + 4 = 12.

Place the correct number, 2, under the added digits.

Take 1 and place it above the next column on the left.

To finish, add this column. Don’t forget to include the 1 we just migrated.

1 + 1 + nothing equals 2, so we’ll write 2 under 1.

Done. Our answer is 220. 178 + 42 = 220.
9004 3
Keep an eye on the different numbers as you transfer. If you are writing down problems, be sure to write the missing numbers in small print above the column of numbers on the left.
Try it!
Solve these problems by transferring. Then check your answer by typing it in the field.
Practice!
Practice adding these tasks. You will have to use a carry to solve some problems. There are 4 task sets with 3 tasks each.
Set 1
Set 2
Set 3
Set 4
/en/additionsubtraction/video/content addition/
Double Digit Subtraction with Rearrangement — 2nd Grade Math
Learn to Subtract Double Digit Numbers with Rearrangement
Imagine you are working through 2 levels of your favorite video game. You earn 62 points for a total of . At level 1, you scored 28 points. How much did you score in Level 2?
How can we solve this problem? 🤔
Subtract! ✅
62 — 28 = ?
Do you remember the first step when subtracting two digit numbers?
That’s right! You stack the numbers vertically with the largest on top!
Start subtracting from the Units column.
But what happens when the number at the bottom is greater than the number at the top? 🤔
We can make a rearrangement of .
This is how the numbers 62 and 28 are grouped.
When we regroup , we change the grouping to 62. This allows us to take some value from one place and pass it to another place that needs more.
This is also called by borrowing .
Take one ten from the Tens column and add it to the Units column.
Now we have 5 tens and 12 ones at the top of our equation.
We don’t need to regroup 28, number at the bottom.
Now we can subtract the «Units» column.
12 — 8 equals 4.
We write this in Units.
Now let’s subtract the tens.
Remember, you only have 5 tens left.
5 — 2 equals 3.
Our final answer is 34.
You scored 34 points in level 2.
Great job!
Review
Let’s try subtraction again.
31 — 15 = ?
First, let’s write the equation as a column .
Excellent. Can we subtract in the units column?
No!
We need to regroup!
Now let’s subtract the Units.
Great job! Let’s move on to tens.
That’s it! Good job!
Watch and learn
How to teach 2digit addition to first graders in math
Once first graders have grasped the idea of ordinal value and understood the concept of basic addition, it is quite easy to move on to adding two numbers, with or without rearrangement. Using manipulative and visual hints in the learning process makes it even easier to understand.
Start with concrete
Whether you’re using counting cubes, craft sticks, or any other tangible item, learning how to add twodigit numbers with counting tools at the beginning will make later learning less confusing. Use rubber bands to make bundles of 10 craft sticks and use them with loose singles to create practice challenges. For example, help your budding mathematician show 13 + 4 by adding a bunch of tens and three single sticks together, and then adding four more single sticks before counting them all to find the sum. When she gets comfortable with this practice and consistently finds the answer, she will be ready to move on to a more abstract form of the problem.
TCharts for visual cues
Start with twodigit addition with problems written vertically. This makes it easier to align the items in the units column and the 10s column. Draw a TChart and name the right column «ones» and the left column «tens». You can print them out and then cover the page with clear contact paper to reuse it. Then help your child write the numbers in the appropriate columns. For example, in problem 11 + 64, he must write 11 with a 1 in each column. Immediately below it, he should write 4 in the units column and 6 in the 10 column.
Adding numbers together
Now your child is ready for the actual addition. Use an index card, piece of paper, or your hand to close column 10s on the left. Have your student add the numbers they see to the units column on the right and write it below the problem in the same column. Then move the cover and ask her to add the 10s column in the same way. Show her that adding two numbers is just two unambiguous tasks once she has everything lined up.
Expand to rearrangement
Start in the same way as for addition without rearrangement, using the manipulative explanation of concept, and then proceed to the tchart. This time, your child will write the amount in the units column by writing the numbers in the appropriate columns. For 17 + 27 he writes 4 in the ones column and 1 in the 10 column for 7 + 7 = 14. Now he adds the three numbers in the tens column and writes four, resulting in 44. After he has mastered this method, show him that he can write «transferred» tens at the top of the table column, not below it. problem, and still add them together.
Twodigit subtraction lesson plan  Count Fast
OVERVIEW AND PURPOSE
The fifth week of the 2nd Grade CountFast program focuses on common strategies for subtracting twodigit numbers using mental quick counting. (Subtraction with «borrow» or «exchange» and subtraction without borrowing. ) The decks of cards should be sent home with the students each day for extra practice at home with the parent. Every week a new deck is introduced, and the student leaves the previous deck at home to continue practicing.
EDUCATIONAL STANDARDS
 NCTM Standard: Develop fluency in basic number combinations for addition and subtraction
 NCTM Standard: Understanding the effects of integer addition and subtraction
 CCCC.MATH.CONTENT.2.NBT.B.5
Freely add and subtract within 100 using strategies based on positional value, operation properties, and/or relationships between addition and subtraction. TASKS
 Develop strategies for quickly solving twovalued subtraction equations by understanding the process of «borrowing» or «exchanging» when needed.
MATERIALS REQUIRED
One deck of twodigit subtraction cards for each student. This deck is designed for school and home use. Discuss the daily routine and expectations of bringing the deck home and returning it to school each day.
Double Digit Subtraction — Day 1
Teacher Model/Straight : Introduce students to this week’s deck of cards. Today you will work with yellow cards in the deck. The tasks on the cards are written horizontally. Discuss/show with students how these same problems are written vertically with ones and tens columns as taught in grades 1—. Review first the process of subtracting the ones column and then subtracting the tens column. By looking at the horizontal representation of the tasks (on the cards), show students that they can quickly look at the numbers in the units position of each number to determine if the unit will be subtracted without having to borrow from the tens group. For all yellow cards, unit calculations do not require any «borrowing» or «trading».
Of course, there are other methods that students can use for quick mental counting. Some students may find it faster to factor the numbers and subtract those smaller parts. (23 — 11 can be considered as 20 — 10 — 3 — 1, or 20 — 10 4, or 23 — 10 — 1). Encourage students to use the fastest mental calculation method for their way of thinking.
Student activity : Pair students and ask each pair to use one deck to work with. Ask them to get yellow cards . Students turn over one card at a time and see which of the partners will solve the problem faster, be sure to explain to their partner how he came to the answer.
Homework : Students will practice solving the YELLOW card problems with their parents as quickly as possible.
Double Digit Subtraction — Day 2
Teacher Model/Direct : Get familiar with the concept of subtracting two digit numbers when there is no need to «borrow» or «trade». Today look at the BLUE set of cards in the student deck. Direct them to notice that on each blue card the answer when subtracting digits instead of units is zero. This makes it quick and easy to subtract numbers in the tens place and add a zero at the end to get the final difference. For example, 31–11 can be quickly solved by noticing that the ones digits (1–1) will be 0. This just leaves subtracting the tens digits (3–1, which is 2) and then adding 0 after that answer (2) to get 20 as final difference.
Student Activity : Repeat activity from Day 1 using the BLUE cards from the deck. Students should encourage partners to talk to each other in the process and celebrate each other’s progress.
Homework : Students will practice mentally calculating the blue cards with their parents.
Double Digit Subtraction — Day 3
Teacher Model/Straight : Review the strategies learned on days 1 and 2. Today, use the GREEN/GOLD cards in the deck to quickly subtract numbers when there is a need to «borrow» or «exchange». ‘ to get an answer. Reteach what it looks like when the tasks are written vertically, and not horizontally, as on cards. Review the concept of subtracting the highest (or first) number where we SHOULD start. The bottom (or second) number is what we DESTROY. Sometimes the top (or first) number doesn’t have enough ones to subtract the bottom (or second) number. And — we know that the commutative property doesn’t work for subtraction, so we can’t just rearrange the numbers to make it «easier». Look at borrowing or swapping from the tens group to look at the original number in a different way without changing its value. (42–29requires an exchange because we cannot subtract 9 units from 2 units. To subtract, we must rewrite 42 as 3 tens and 12 ones.) This lesson can take three days to fully teach so that students can mentally process this process.
Some students look at problems differently (for example, 42 — 29 can be solved by subtracting 20 from 42, then subtracting 9 more; OR subtracting 30 from 42, then adding one). Have students use whichever method is FASTER suits their way of thinking.
Student Activity : Pair the students together and ask them to use the GREEN/GOLD cards from the deck to take turns quickly mentally subtracting twodigit numbers using «swap» or «decomposition». Students should encourage each other to talk about the process used and celebrate each other’s progress.
Homework : Students and parents will practice quick mental calculation of GREEN/GOLD cards.
Double Digit Subtraction — Days 4 and 5
On days 4 and 5, review the three calculation strategies in your head and practice with each set of colors. Students can even mix color sets and explain what strategy was used to solve each problem as they compete against their partners. The students will do the same at home with their parents these days. You can use these days to continue working on your trading concept.
As an optional challenge, students can play a griddle tournament in which all yellow, blue, and green/gold cards are mixed together. Partners can turn one card over, as they did in CountFast 12, and see who «wins» each card, solving the problem faster than anyone else. The winners move on to the next round/opponent and the dropouts must support those who are still competing. Celebrate together this challenging week!
Teaching video