What is Carryover?
When we add two numbers and the answer is 10 or more, we need to carry over! This means we have more than 9, so we make a group of 10.
Think of it like this: If you have 10 candies, you can put them in one big bag. That bag represents the “tens place.”
Method 1: Using Your Fingers and Counting
Let’s learn with an example: 8 + 5
Step-by-Step:
-
Start with the first number (8)
- Hold up 8 fingers or imagine 8 objects
-
Add the second number (5)
- Count 5 more: 9, 10, 11, 12, 13
-
The answer is 13!
- Notice: We went past 10!
- 13 = 1 ten and 3 ones
Practice This Way:
- 7 + 6: Start at 7, count 6 more → 8, 9, 10, 11, 12, 13 = 13
- 9 + 4: Start at 9, count 4 more → 10, 11, 12, 13 = 13
Method 2: Making a Ten (The Bridge Method)
This is a super trick! We break one number into parts to make 10 first.
Example: 8 + 5
Think: How many do I need to make 10?
- I have 8
- I need 2 more to make 10 (because 8 + 2 = 10)
- Break the 5 into 2 and 3 (because 2 + 3 = 5)
- First add: 8 + 2 = 10
- Then add the rest: 10 + 3 = 13
Visual Picture:
8 + 5 = ?
8 + (2 + 3) = ?
(8 + 2) + 3 = ?
10 + 3 = 13 ✓
More Examples:
Example: 7 + 6
- I have 7, I need 3 to make 10
- Break 6 into 3 and 3
- 7 + 3 = 10
- 10 + 3 = 13
Example: 9 + 7
- I have 9, I need 1 to make 10
- Break 7 into 1 and 6
- 9 + 1 = 10
- 10 + 6 = 16
Method 3: Using Objects or Drawings
This helps you SEE the carryover!
Example: 6 + 8
Step 1: Draw 6 circles: ○ ○ ○ ○ ○ ○
Step 2: Draw 8 more circles: ○ ○ ○ ○ ○ ○ ○ ○
Step 3: Make groups of 10:
- Put a box around 10 circles: [○ ○ ○ ○ ○ ○ ○ ○ ○ ○]
- Count what’s left: ○ ○ ○ ○
Step 4: Answer: 1 box of ten + 4 extra = 14
You can use:
- Blocks or cubes
- Pennies or buttons
- Drawings of dots or stars
Understanding Place Value
When we write the answer, we need to know about place value:
TENS | ONES
1 | 3
13 means:
- 1 in the TENS place (1 group of ten)
- 3 in the ONES place (3 single ones)
Writing It Down:
8
+ 5
---
13
The “1” goes in the tens place, the “3” goes in the ones place.
Tips and Tricks
✓ Tip 1: Doubles Plus One
If you know your doubles, use them!
- 7 + 8: Think “7 + 7 = 14, plus 1 more = 15“
- 6 + 7: Think “6 + 6 = 12, plus 1 more = 13“
✓ Tip 2: Start with the Bigger Number
It’s easier! Instead of 3 + 9, think 9 + 3
- Start at 9, count 3 more: 10, 11, 12 = 12
✓ Tip 3: Use a Number Line
Draw a line with numbers 0-20. Jump forward!
0--1--2--3--4--5--6--7--8--9--10--11--12--13--14--15--16--17--18
↑
Start at 8, jump 5 times → land on 13
✓ Tip 4: Remember “Friends of 10”
These pairs make 10:
- 1 + 9 = 10
- 2 + 8 = 10
- 3 + 7 = 10
- 4 + 6 = 10
- 5 + 5 = 10
When you know these, making tens is easy!
How to Avoid Common Errors
❌ Error 1: Forgetting to carry over
Wrong: 8 + 7 = 5 (they forgot the ten!) Right: 8 + 7 = 15 (1 ten and 5 ones)
How to avoid: Always check if your answer is bigger than 9!
❌ Error 2: Counting wrong
Wrong: Starting at 8, counting “8, 9, 10, 11, 12” for 8 + 5 Right: Starting at 8, counting “9, 10, 11, 12, 13” for 8 + 5
How to avoid: Remember, start counting AFTER the first number!
❌ Error 3: Mixing up place values
Wrong: Writing 8 + 5 = 31 (instead of 13) Right: 8 + 5 = 13
How to avoid: The TENS digit is always smaller when adding single digits!
❌ Error 4: Rushing
How to avoid:
- Take your time
- Use fingers, objects, or drawings
- Check your answer by counting backward
Parent/Teacher Notes
Key Concepts to Reinforce:
- Carryover happens when the sum is 10 or greater
- The maximum sum of two single digits is 9 + 9 = 18
- Building strong number sense (especially understanding 10) is crucial
- Use manipulatives extensively at this stage
- Celebrate effort and progress, not just correct answers
Activities to Try:
- Use ten-frames (2×5 grids) to visualize numbers
- Play card games where they add two cards
- Use dominoes to practice addition
- Create story problems: “You have 8 apples, friend gives you 5 more…”
Remember: Every child learns at their own pace. Be patient and make it fun! 🌟
