Printable Calculation Strategies Worksheets:
Subtraction Strategies
Multiplication Strategies
Division Strategies

Free printable and online math worksheets to help students learn how to apply the different addition strategies or short cuts to solving problems.

Addition is a fundamental operation in mathematics, and there are various strategies that can help make it more efficient for students. Here are some addition strategies and worksheets:

1. Counting On: Start with the larger number and count on by the value of the smaller number. For example, for 7+4, you start with 7 and count on 4 more: 8, 9, 10, 11.

2. Doubles and Near Doubles: Use knowledge of doubles (e.g., 7+7) to solve related problems (e.g., 7+8 by adding one more).
Adding Doubles (eg. 3 + 3)

3. Know the basic Addition Facts: Memorize and recall these facts quickly.
Addition within 10 (eg. 3 + 5)
Addition within 20 (eg. 6 + 8)

4. Use of Known Facts: Knowing basic addition facts can help students quickly solve more complex problems by building on what they already know. For example, if they know 5+3 then they also know 15+3.

5. Make Ten: Break down one of the numbers to make a ten. For example, for 8+7, you can break down 7 into 2 and 5, making it 8+2+5 to make a ten: 10+5=15.
Make 10 strategy (eg. 67 + 4)
Make 100 Strategy (eg. 440 + 280)

6. Using Number Lines: Visualize the numbers on a number line and move along the line to add. It helps to see the distance between numbers.

7. Place Value: Break down numbers into place values (e.g., tens and ones) and add each place value separately.
Addition Facts to 20 (eg. 12 + 5)
Add 10 to a 2-digit number (eg. 10 + 24)
Add Whole Tens (eg. 50 + 60)
Add Tens to a 2-digit number (eg. 60 + 34)

8. Expanded Form: Express numbers in expanded form (e.g., 46=40+6) and then add the corresponding parts.

9. Commutative Property: Use the commutative property to rearrange numbers for easier addition. For example, 7+8 is the same as 8+7.
Add 3 numbers (make 10) (eg. 5 + 3 + 5)
Add 3 single digit numbers (eg. 4 + 7 + 8)

Compensation Addition (eg. 98 + 79)

11. Arrow Addition Break down one of the numbers into smaller chunks and add the numbers in steps.
Arrow Addition (eg. 450 + 360)

12. Regrouping (Carrying): For multi-digit numbers, regrouping is used to carry over the value when the sum exceeds 9 in a particular place.
2-digit + 1-digit (eg. 48 + 5)
2-digit + 2-digit (eg. 64 + 29)
3-digit + 2-digit (eg. 543 + 39)
3-digit + 3-digit (eg. 648 + 594)

13. Estimation: Round numbers to the nearest ten or hundred for quick mental calculation before finding the exact sum.
Round to nearest 10 (3-digit) (eg. 725 -> 730)
Round to nearest 100 (3-digit) (eg. 651 -> 700)
Round to nearest 10 or 100 (3-digit)

Encourage students to explore and use different addition strategies based on their understanding and comfort level. Mastery of these strategies contributes to a strong foundation in arithmetic and mental math skills.

Have a look at this video if you need help on how to use some of the addition strategies.

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.