Patterns in Addition
When we add numbers, we can find patterns that make addition easier and faster. Patterns in addition help us see how numbers behave when we add the same thing again and again.
In Class 2, we learn to spot addition patterns like adding 10, doubles, and how changing one number changes the sum.
What is Patterns in Addition - Class 2 Maths (Patterns (Grade 2))?
A pattern in addition is a rule that we can see when we add numbers in a particular way.
Common addition patterns:
- Adding 10: When we add 10, the tens digit goes up by 1 and the ones digit stays the same
- Adding 1: When we add 1, the number goes up by 1
- Doubles: When we add a number to itself (2+2, 3+3, 4+4...)
Solved Examples
Example 1: Example 1: Adding 10 Pattern
Question: Look at this pattern. What comes next?
5 + 10 = 15
15 + 10 = 25
25 + 10 = 35
35 + 10 = ?
Think:
- Each time we add 10
- The ones digit stays 5
- The tens digit goes up by 1
- 35 + 10 = 45
Answer: 35 + 10 = 45.
Example 2: Example 2: Doubles Pattern
Question: Continue the doubles pattern:
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = ?
Think:
- Each double is 2 more than the last double
- 4 + 4 = 8
Answer: 4 + 4 = 8. The pattern goes 2, 4, 6, 8, 10...
Example 3: Example 3: One Number Changes
Question: Look at this pattern:
3 + 1 = 4
3 + 2 = 5
3 + 3 = 6
3 + 4 = ?
Think:
- The first number stays 3
- The second number goes up by 1
- The sum also goes up by 1
- 3 + 4 = 7
Answer: 3 + 4 = 7.
Example 4: Example 4: Adding 5 Pattern
Question: Continue: 5, 10, 15, 20, ___
Think:
- 5 + 5 = 10, 10 + 5 = 15, 15 + 5 = 20
- Rule: keep adding 5
- 20 + 5 = 25
Answer: The next number is 25.
Example 5: Example 5: Sum Stays the Same
Question: Look at this pattern. What do you notice?
1 + 9 = 10
2 + 8 = 10
3 + 7 = 10
4 + 6 = 10
Think:
- The first number goes up by 1
- The second number goes down by 1
- The sum stays 10 every time!
Answer: When one number increases by 1 and the other decreases by 1, the sum stays the same.
Example 6: Example 6: Adding 10 to Different Numbers
Question: Ria notices:
12 + 10 = 22
23 + 10 = 33
45 + 10 = 55
67 + 10 = ?
Think:
- When we add 10, only the tens digit changes
- 67 + 10 = 77
Answer: 67 + 10 = 77.
Example 7: Example 7: Creating an Addition Pattern
Question: Aman starts with 4 and keeps adding 3. Write the first 5 numbers.
Think:
- Start: 4
- 4 + 3 = 7
- 7 + 3 = 10
- 10 + 3 = 13
- 13 + 3 = 16
Answer: The pattern is 4, 7, 10, 13, 16.
Key Points to Remember
- When you add 10, the tens digit increases by 1 and the ones digit stays the same.
- Doubles (2+2, 3+3, 4+4...) form a pattern — each answer is 2 more than the last.
- If one addend goes up by 1 and the other stays the same, the sum goes up by 1.
- If one addend goes up by 1 and the other goes down by 1, the sum stays the same.
- Addition patterns help us add faster and check our work.
Practice Problems
- Continue: 8 + 10 = 18, 18 + 10 = 28, 28 + 10 = ___, ___ + 10 = ___
- Write the doubles from 5 + 5 to 10 + 10.
- Look at the pattern: 6 + 1 = 7, 6 + 2 = 8, 6 + 3 = 9. What is 6 + 4?
- Start with 2 and keep adding 4. Write the first 6 numbers.
- Fill in: 5 + 5 = 10, 4 + ___ = 10, 3 + ___ = 10, 2 + ___ = 10
- What is 43 + 10? What is 53 + 10? What pattern do you see?
Frequently Asked Questions
Q1. What are patterns in addition?
Patterns in addition are rules we can see when we add numbers. For example, adding 10 always increases the tens digit by 1.
Q2. What happens when we add 10 to any number?
The tens digit goes up by 1 and the ones digit stays the same. For example, 34 + 10 = 44.
Q3. What is a doubles pattern?
A doubles pattern is when you add a number to itself: 1+1=2, 2+2=4, 3+3=6, 4+4=8. The answers go up by 2 each time.
Q4. How do addition patterns help us?
They help us add faster without counting each time. If we know 3+5=8, we know 3+6=9 because we just added 1 more.
Q5. What if one number goes up and the other goes down?
If one number goes up by 1 and the other goes down by 1, the sum stays the same. Example: 3+7=10 and 4+6=10.
Q6. Can I make my own addition pattern?
Yes! Pick a starting number and a rule (like add 3). Keep applying the rule to make your pattern. Example: 2, 5, 8, 11, 14.
