When is it a good time to practice addition 2 digit problems? Once students understand 1 digit addition problems, you can begin to have them add beyond 20. Of course, you should start with using base ten blocks or unifix cubes to model adding the tens and ones.
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Students need strategies for basic addition facts and an understanding of place value before practicing 2 digit addition problems. I like to begin by adding tens to a one digit problem and then adding tens to a two-digit number. This is where you start to see who understands the value of the digits in a two digit number and why using math tools to model what is happening is essential.
What are Addition Facts?
Facts with addends of 0-10 are considered basic facts. Sometimes, 0-9 are considered basic facts.
As math teachers, we want students to become fluent in single-digit addition and subtraction facts. We call these basic math facts because they provide the foundation for more complex problems.
Students should develop both automaticity and an understanding of math facts. Automaticity is a student’s ability to recall a fact effortlessly. In addition, we want our students to understand these essential facts.
Read more.. 3 Guaranteed and Fun Resources to Practice Addition 1 Digit Problems with Students
2 Digit Addition Standards
CCSS.MATH.CONTENT.1.NBT.C.4
Add within 100, including adding a two-digit number and a one-digit number and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.
CCSS.MATH.CONTENT.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.
CCSS.MATH.CONTENT.2.NBT.B.6
Add up to four two-digit numbers using strategies based on place value and properties of operations.
CCSS.MATH.CONTENT.2.NBT.B.7
Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.
CCSS.MATH.CONTENT.2.NBT.B.8
Mentally add 10 or 100 to a given number 100-900, and mentally subtract 10 or 100 from a given number 100-900.
CCSS.MATH.CONTENT.3.NBT.A.2
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
Addition Regrouping Strategies For 1st Grade
First, begin by using base ten blocks or unifix cubes. I like to start with unifix cubes because students can put 10 together and take 10 apart. Then, we can use a tens and ones place value chart to practice building numbers. Once students are comfortable with sums to 20, you can move beyond.
In first grade, students should be able to add a two digit number plus a one digit number. For example, 24 + 6. In addition, students should be able to add a two digit number and a multiple of 10. For example, 24 + 20.
Once students are comfortable using unifix cubes, you can use place value or base ten blocks with a place value chart.
Addition 2 Digit with Regrouping and No Regrouping Strategies
Base Ten Model for Double Digit Addition
When introducing two-digit addition, I always start with using unifix cubes if I can because students can build 10 and then break 10 apart.
Then, I like using base ten blocks and a place value mat inside a plastic sleeve. This allows students to write or draw using a dry-erase marker and can be used repeatedly.
Eventually, we will move to drawing the base ten blocks. Here is an example of how to use the strategy:
- Build or draw both addends with base ten blocks.
- Count the ones first and then the tens. This will help when regrouping is introduced later.
- Solve for the sum.
Expanded Form Method for Double Digit Addition
The second double digit addition strategy is to have students decompose the numbers and then add them. Students must again have a strong knowledge of place value and expanding numbers.
Each addend will be broken apart or decomposed into tens and ones. It helps students see that the tens place isn’t just a 6. Its value represents 60 or 6 tens. Here is an example of how the strategy works for 32 + 45:
- Expand the first addend. 32 becomes 30 + 2
- Expand the second addend and write it underneath the first. 45 becomes 40 and 5.
- Put together the ones. Then, put together the tens.
- Solve for the sum. 70 + 7= 77
Number Line Model for Double Digit Addition
Using an open number line to solve two-digit addition problems is highly beneficial.
This strategy focuses on students “hopping” along a number line to solve the sum of a given problem. Large hops are drawn for plus 10, and smaller hops are drawn for plus 1.
To help students visualize this strategy more, I first include base ten blocks. They can take them away when they are more comfortable with this strategy. Here is an example of the strategy:
- Draw an open number line.
- Write the larger addend at the start of the number line.
- Then, students use base ten blocks to build the other addended horizontally across the number line.
- Draw large hops over the tens for +10 and small hops over the ones for +1.
- They’ll skip count and write out the numbers to solve for the sum.
Addition 2 Digit No Regrouping and Regrouping
Introduce no regrouping two digit problems to start and then move to problems where students need to regroup.
Grade 2 Addition and Subtraction Word Problems
These slides have students model the addition and subtraction word problem with the place value chart and place value blocks. Then, enter the number sentence in the text boxes. These are word problems within 100 for all problem structures; some have regrouping, and some have no regrouping.
Addition 2 Digit Numbers with Regrouping and No Regrouping
Students should have opportunities to use a place value chart and base ten blocks when solving problems. You can use physical blocks or digital place value blocks.
Addition 2 Digit Worksheets and Slides
These addition 2 digit worksheets and slides have students use movable base ten blocks and a place value chart. There are regrouping and no regrouping problems within 100.
2 Digit Addition with No Regrouping Resources
Addition Regrouping Worksheet
Easy to Use Addition 2 Digit Worksheets
These addition 2 digit worksheets and slides have students use movable base ten blocks and a place value chart. There are regrouping and no regrouping problems within 100.
Adding Regrouping Worksheets and Slides
Addition With Regrouping Worksheets Free Resource (and No Regrouping)
Here are 6 slides and 6 addition 2 digit worksheets with Addition 2 Digit Word Problems. These ready-made interactive slides have a tens and ones place value chart and movable base ten blocks to help students solve the addition 2 digit no regrouping and regrouping problems.
Fun and Easy Addition 2 Digit Worksheets and Slides
These addition 2 digit worksheets and slides have students use movable base ten blocks and a place value chart. There are regrouping and no regrouping problems within 100.
2 Digit Addition Word Problems
Word problems connect math to the real world. Students will see the importance of solving 2-digit numbers and become more engaged. I also like to use literature to create problems so students can see the connection between reading and math.
Grade 2 Addition and Subtraction Word Problems
These slides have students model the addition and subtraction word problem with the place value chart and place value blocks. Then, enter the number sentence in the text boxes. These are word problems within 100 for all problem structures; some have regrouping, and some have no regrouping.
2 Digit Addition Additional Resources
Once students understand two digit addition in word problems, they can be introduced to two step word problems. These two step word problems use addition and subtraction.
Two Step Word Problems Addition and Subtraction
These two step word problems are addition and subtraction practice problems in digital and print form. Teach Addition and Subtraction 2 step word problems within 100 with different word problem structures.
Addition With Regrouping Worksheet Free Resource
Addition With Regrouping Worksheets Free Resource (and No Regrouping)
Here are 6 addition with regrouping and no regrouping worksheets and slides. These will help you practice two digit addition problems with digital math tools.
Addition 2 Digit Using Technology and Additional Resources
These addition problems have a digital place value chart and movable base ten blocks to solve two digit addition problems.
Try These Addition 2 Digit Worksheets
These addition 2 digit worksheets and slides have students use movable base ten blocks and a place value chart. There are regrouping and no regrouping problems within 100.
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2 Digit Addition Practice to Use with Students
When it comes to 2-digit addition strategies, we want students to understand the numbers rather than memorize a procedure. We want students to find the strategy that makes sense to them and then use it. In addition, we need to ensure we begin with the concrete stage of using math manipulatives and then progress to the representational and abstract stages.
- ☀Download this BONUS Guide with everything you need to cultivate a positive classroom community.
- ➕Includes definitions, lesson ideas, mindset surveys for students and teachers, and printable posters.
- 🧠💪Research shows a link between a growth mindset and math success. Kids with a growth mindset about their abilities perform better and are more engaged in the classroom.
- 👉Includes everything you need to start cultivating a more positive math classroom and students who love math. Download and get started today! Click here to download the Mindset Guide & Survey.
Students need an understanding of their basic facts and place value before introducing two digit addition problems. Students need to see that two-digit numbers comprise ten and ones. These fun and easy resources will help students practice addition 2 digit problems.
