Using Doubles to Add and Subtract - Grade 2 Mathematics - Exercises with solutions

Master using doubles to add and subtract: doubles facts, near doubles, and doubles strategy for both operations through these 10 detailed exercises with verified solutions.

Solutions: Exercises 1 to 10
1 Basic doubles addition
Exercise 1
What is 6 + 6?
Difficulty: Beginner Time: ~1 minute Skills: Basic Doubles Facts
Definition:

Doubles facts: Addition problems where the same number is added to itself

Note: Doubles facts are foundational for mental math and help with other addition and subtraction strategies.

Step-by-step doubles method:
  1. Recognize that we're adding the same number twice
  2. Count the number of groups: 2 groups of 6
  3. Multiply: 2 × 6 = 12
Original Problem
6 + 6
Solution
12
Step 1: Recognize the pattern

We're adding 6 twice: 6 + 6

Step 2: Count the groups

2 groups of 6 objects: ⭐⭐⭐⭐⭐⭐ and ⭐⭐⭐⭐⭐⭐

Step 3: Add the groups

Total: 6 + 6 = 12 objects

6 + 6 = 12
Final answer:

6 + 6 = 12

Applied rules:

• Doubles: Same number added to itself

• Pattern: Doubles always result in even numbers

• Memory tip: Practice doubles facts until automatic

Related Examples:
  • 4 + 4 = 8 - Practice with smaller doubles
  • 7 + 7 = 14 - Practice with medium doubles
  • 3 + 3 = 6 - Practice with single digits
Quick Tips:
  • Doubles always result in even numbers
  • Memorize doubles facts for mental math speed
  • Use doubles to help with near doubles
Frequently Asked Questions:

Q: Why are doubles facts important?
A: They build fluency and help with other addition and subtraction strategies.

Q: What numbers can be doubled?
A: Any number can be doubled, but we focus on 1-10 for early grades.

2 Doubles plus 1 addition
Exercise 2
What is 6 + 7?
Difficulty: Beginner Time: ~1 minute Skills: Doubles Plus 1 Strategy
Definition:

Doubles plus 1: Addition problems where one number is 1 more than the other

Note: This strategy uses the doubles fact and adds 1 more to the result.

Step-by-step doubles plus 1 method:
  1. Recognize that 7 is 1 more than 6
  2. Use the doubles fact: 6 + 6 = 12
  3. Add 1 more: 12 + 1 = 13
Original Problem
6 + 7
Doubles Plus 1
6 + 6 + 1
Solution
13
Step 1: Identify the relationship

7 is exactly 1 more than 6

Step 2: Use doubles fact

We know 6 + 6 = 12

Step 3: Add the extra one

Since 7 is 1 more than 6, add 1 to the doubles result: 12 + 1 = 13

6 + 7 = 13
Final answer:

6 + 7 = 13

Applied rules:

• Doubles plus 1: One number is exactly 1 more than the other

• Strategy: Use doubles fact and add 1

• Memory tip: This is the same as near doubles

Related Examples:
  • 5 + 6: Use 5 + 5 = 10, then 10 + 1 = 11
  • 7 + 8: Use 7 + 7 = 14, then 14 + 1 = 15
  • 4 + 5: Use 4 + 4 = 8, then 8 + 1 = 9
Quick Tips:
  • Look for numbers that are 1 apart
  • Always use the smaller number for the doubles fact
  • Add 1 to the doubles result
Frequently Asked Questions:

Q: What is doubles plus 1?
A: Addition problems where one number is 1 more than the other, like 6+7 or 8+9.

Q: How is this different from regular near doubles?
A: Doubles plus 1 is a specific case of near doubles where the difference is exactly 1.

3 Doubles minus 1 addition
Exercise 3
What is 8 + 7?
Difficulty: Beginner Time: ~1 minute Skills: Doubles Minus 1 Strategy
Definition:

Doubles minus 1: Addition problems where one number is 1 less than the other

Note: This strategy uses the larger number's doubles fact and subtracts 1 from the result.

Step-by-step doubles minus 1 method:
  1. Recognize that 7 is 1 less than 8
  2. Use the doubles fact: 8 + 8 = 16
  3. Subtract 1: 16 - 1 = 15
Original Problem
8 + 7
Doubles Minus 1
8 + 8 - 1
Solution
15
Step 1: Identify the relationship

7 is exactly 1 less than 8

Step 2: Use doubles fact

We know 8 + 8 = 16

Step 3: Subtract the difference

Since 7 is 1 less than 8, subtract 1 from the doubles result: 16 - 1 = 15

8 + 7 = 15
Final answer:

8 + 7 = 15

Applied rules:

• Doubles minus 1: One number is exactly 1 less than the other

• Strategy: Use the larger number's doubles fact and subtract 1

• Memory tip: This is the reverse of doubles plus 1

Related Examples:
  • 5 + 4: Use 5 + 5 = 10, then 10 - 1 = 9
  • 9 + 8: Use 9 + 9 = 18, then 18 - 1 = 17
  • 6 + 5: Use 6 + 6 = 12, then 12 - 1 = 11
Quick Tips:
  • Look for numbers that are 1 apart
  • Use the larger number for the doubles fact
  • Subtract 1 from the doubles result
Frequently Asked Questions:

Q: What is doubles minus 1?
A: Addition problems where one number is 1 less than the other, like 8+7 or 6+5.

Q: How do I solve doubles minus 1?
A: Use the doubles fact for the larger number and subtract 1.

Solutions: Exercises 4 to 5
4 Doubles subtraction
Exercise 4
What is 12 - 6?
Definition:

Doubles subtraction: Subtraction problems where the subtrahend is half of the minuend

Note: Doubles subtraction facts use the same numbers as doubles addition facts.

Step-by-step doubles subtraction method:
  1. Recognize that 6 is half of 12
  2. Think about the related doubles fact: 6 + 6 = 12
  3. Therefore: 12 - 6 = 6
Original Problem
12 - 6
Related Doubles
6 + 6 = 12
Solution
6
Step 1: Identify the relationship

6 is exactly half of 12

Step 2: Think about doubles

We know 6 + 6 = 12

Step 3: Apply to subtraction

If 6 + 6 = 12, then 12 - 6 = 6

12 - 6 = 6
Final answer:

12 - 6 = 6

Applied rules:

• Doubles subtraction: The subtrahend is half of the minuend

• Inverse relationship: Addition and subtraction are connected

• Memory tip: Use doubles addition facts to solve subtraction

Related Examples:
  • 10 - 5: Since 5 + 5 = 10, then 10 - 5 = 5
  • 14 - 7: Since 7 + 7 = 14, then 14 - 7 = 7
  • 18 - 9: Since 9 + 9 = 18, then 18 - 9 = 9
Quick Tips:
  • Use doubles addition facts to solve doubles subtraction
  • The answer to doubles subtraction is always the same as the addend
  • These facts connect addition and subtraction
Frequently Asked Questions:

Q: What is doubles subtraction?
A: Subtraction problems where the number being subtracted is half of the starting number.

Q: How do I solve doubles subtraction?
A: Think of the related doubles addition fact and use it.

5 Doubles plus 1 subtraction
Exercise 5
What is 13 - 6?
Definition:

Doubles plus 1 subtraction: Subtraction problems where the minuend is 1 more than double the subtrahend

Note: This uses the doubles fact and adjusts for the extra 1.

Step-by-step doubles plus 1 subtraction method:
  1. Recognize that 13 is 1 more than double 6 (12)
  2. Think about the related doubles fact: 6 + 6 = 12
  3. Since 13 is 1 more than 12, the answer is 6 + 1 = 7
Original Problem
13 - 6
Doubles Relationship
13 = 6 + 6 + 1
Solution
7
Step 1: Analyze the relationship

13 is 1 more than 12 (which is double 6)

Step 2: Think about doubles

We know 6 + 6 = 12

Step 3: Adjust for the extra 1

Since 13 = 12 + 1, then 13 - 6 = 6 + 1 = 7

13 - 6 = 7
Final answer:

13 - 6 = 7

Applied rules:

• Doubles plus 1 subtraction: Minuend is 1 more than double subtrahend

• Strategy: Use doubles fact and add 1 to the result

• Memory tip: Connect to doubles addition facts

Related Examples:
  • 11 - 5: Since 5 + 5 = 10 and 11 = 10 + 1, then 11 - 5 = 5 + 1 = 6
  • 15 - 7: Since 7 + 7 = 14 and 15 = 14 + 1, then 15 - 7 = 7 + 1 = 8
  • 9 - 4: Since 4 + 4 = 8 and 9 = 8 + 1, then 9 - 4 = 4 + 1 = 5
Quick Tips:
  • Look for cases where the minuend is 1 more than double the subtrahend
  • Use the subtrahend as your base number
  • Add 1 to the subtrahend for the answer
Frequently Asked Questions:

Q: What is doubles plus 1 subtraction?
A: Subtraction where the starting number is 1 more than double the number being subtracted.

Q: How do I recognize this pattern?
A: Check if the minuend equals double the subtrahend plus 1.

Solutions: Exercises 6 to 10
6 Fact families
Exercise 6
If 8 + 8 = 16, what are the other three facts in this fact family?
Definition:

Fact family: A group of related addition and subtraction facts using the same three numbers

Note: Doubles create special fact families with only two unique numbers.

Step-by-step fact family method:
  1. Start with the doubles fact: 8 + 8 = 16
  2. Write the related addition fact: 8 + 8 = 16 (same as first)
  3. Write the first subtraction fact: 16 - 8 = 8
  4. Write the second subtraction fact: 16 - 8 = 8 (same as first subtraction)
Given Fact
8 + 8 = 16
Related Facts
16 - 8 = 8
Complete Family
8+8=16, 16-8=8
Step 1: Identify the numbers involved

We have 8, 8, and 16 in our fact family

Step 2: Write the addition facts

8 + 8 = 16 (there's only one unique addition fact with doubles)

Step 3: Write the subtraction facts

16 - 8 = 8 (there's only one unique subtraction fact with doubles)

Step 4: Verify the relationships

8 + 8 = 16 ✓ and 16 - 8 = 8 ✓

The complete fact family: 8 + 8 = 16 and 16 - 8 = 8
Final answer:

The other facts in the family are: 16 - 8 = 8

Applied rules:

• Fact family: Doubles facts create special families with only 2 unique facts

• Inverse operations: Addition and subtraction are related

• Verification: Always check relationships between facts

Related Examples:
  • 5 + 5 = 25? No, 5 + 5 = 10, so: 5 + 5 = 10, 10 - 5 = 5
  • 7 + 7 = 14, so: 14 - 7 = 7
  • 4 + 4 = 8, so: 8 - 4 = 4
Quick Tips:
  • Doubles fact families only have 2 unique facts instead of 4
  • The answer to the subtraction is always the same as the addend
  • Use fact families to connect addition and subtraction
Frequently Asked Questions:

Q: Why do doubles fact families only have 2 facts?
A: Because both addends are the same, there's only one addition and one subtraction fact.

Q: How do fact families help with math?
A: They show the connection between addition and subtraction.

7 Word problem
Exercise 7
Sarah has 14 cookies. She wants to share them equally with her sister. How many cookies will each person get?
Definition:

Word problem with doubles: A real-world problem that involves dividing equally or using doubles subtraction

Note: This problem involves finding half of 14, which relates to the doubles fact 7 + 7 = 14.

Step-by-step word problem method:
  1. Identify the total amount: 14 cookies
  2. Identify how many people are sharing: 2 people
  3. Recognize this as a doubles subtraction problem: 14 - 7 = 7
  4. Each person gets 7 cookies
Total Cookies
14
Number of People
2
Cookies per Person
7
Step 1: Identify what we know

Sarah has 14 cookies and wants to share equally with 1 sister

Step 2: Set up the problem

14 cookies divided between 2 people

Step 3: Use doubles connection

Think: What number added to itself equals 14? 7 + 7 = 14

Step 4: Solve

Each person gets 7 cookies

Step 5: Verify

7 + 7 = 14 ✓

Each person gets 7 cookies
Final answer:

Each person gets 7 cookies

Applied rules:

• Problem solving: Identify key information

• Doubles connection: Sharing equally connects to doubles facts

• Verification: Check by adding the shares

• Contextual answer: Include units in your answer

Related Examples:
  • 12 apples shared between 2: Each gets 6 (since 6 + 6 = 12)
  • 18 candies shared between 2: Each gets 9 (since 9 + 9 = 18)
  • 10 toys shared between 2: Each gets 5 (since 5 + 5 = 10)
Quick Tips:
  • Sharing equally often connects to doubles facts
  • Look for keywords like "equally", "shared", or "divided"
  • Always answer with a complete sentence
Frequently Asked Questions:

Q: How do I know if a word problem uses doubles?
A: Look for equal sharing, splitting in half, or dividing equally between 2.

Q: What if there are more than 2 people?
A: Then it's not a doubles problem but still involves division.

8 Patterns
Exercise 8
What pattern do you notice in these problems: 4 + 4 = 8, 5 + 5 = 10, 6 + 6 = 12?
Definition:

Doubles pattern: A consistent relationship in doubles facts

Note: Doubles always result in even numbers and follow a predictable pattern.

Step-by-step pattern recognition method:
  1. Look at the first numbers: 4, 5, 6 (increasing by 1)
  2. Look at the answers: 8, 10, 12 (even numbers increasing by 2)
  3. Notice: doubles always result in even numbers
  4. Pattern: number doubled = number × 2
Pattern Sequence
4+4=8, 5+5=10, 6+6=12
Pattern Rule
Doubles equal number × 2
Next in Pattern
7+7=14
Step 1: Analyze the inputs

The numbers being doubled: 4, 5, 6 (each increases by 1)

Step 2: Analyze the outputs

The results: 8, 10, 12 (each increases by 2, all even)

Step 3: Identify the pattern

Doubling any number equals that number times 2

Step 4: Predict next

Following the pattern: 7 + 7 = 14

Doubles always result in even numbers and equal the number × 2
Final answer:

When you double a number, you get an even number that equals the original number times 2.

Applied rules:

• Pattern recognition: Doubles always produce even numbers

• Mathematical relationship: Doubling equals multiplying by 2

• Generalization: n + n = 2n for any number n

Related Examples:
  • 7 + 7 = 14, 8 + 8 = 16, 9 + 9 = 18 (pattern continues)
  • All results are even numbers
  • Each result is double the input number
Quick Tips:
  • Doubles always result in even numbers
  • Doubling is the same as multiplying by 2
  • Recognizing patterns helps with memorization
Frequently Asked Questions:

Q: Why do doubles always result in even numbers?
A: Because you're adding the same number twice, which is the same as multiplying by 2.

Q: What's the pattern in doubles?
A: Any number doubled equals that number times 2.

9 Mixed operations
Exercise 9
Solve: 8 + 8 - 3
Definition:

Mixed operations: Problems combining addition and subtraction using doubles facts

Note: When addition and subtraction are in the same problem, we solve from left to right.

Step-by-step mixed operations method:
  1. Solve operations from left to right
  2. First: 8 + 8 = 16 (using doubles fact)
  3. Then: 16 - 3 = 13
Original Problem
8 + 8 - 3
First Operation
8 + 8 = 16
Second Operation
16 - 3 = 13
Final Answer
13
Step 1: Solve the first operation (left to right)

8 + 8 = 16 (using doubles fact)

Step 2: Solve the second operation

Now we have 16 - 3 = 13

Step 3: Final answer

8 + 8 - 3 = 13

8 + 8 - 3 = 13
Final answer:

13

Applied rules:

• Order of operations: For addition and subtraction, go left to right

• Sequential solving: Solve one operation at a time

• Doubles integration: Use known doubles facts in multi-step problems

• Verification: Check each step as you go

Related Examples:
  • 7 + 7 + 2: First 7 + 7 = 14, then 14 + 2 = 16
  • 6 + 6 - 4: First 6 + 6 = 12, then 12 - 4 = 8
  • 9 + 9 - 5: First 9 + 9 = 18, then 18 - 5 = 13
Quick Tips:
  • For mixed addition and subtraction, work left to right
  • Use doubles facts when you see repeated numbers
  • Keep track of your intermediate results
Frequently Asked Questions:

Q: Which operation do I do first in mixed problems?
A: For addition and subtraction, always work from left to right.

Q: How do I use doubles in mixed operations?
A: Solve the doubles part first, then continue with the remaining operations.

10 Advanced near doubles
Exercise 10
What is 15 - 8?
Definition:

Advanced near doubles: Subtraction problems where the minuend is close to double the subtrahend

Note: This problem can be solved using the doubles fact 8 + 8 = 16.

Step-by-step advanced near doubles method:
  1. Think about the doubles fact: 8 + 8 = 16
  2. Notice that 15 is 1 less than 16
  3. Since 16 - 8 = 8, then 15 - 8 = 7 (one less)
Original Problem
15 - 8
Reference Doubles
16 - 8 = 8
Adjustment
15 is 1 less than 16
Solution
7
Step 1: Think about the related doubles fact

We know 8 + 8 = 16, so 16 - 8 = 8

Step 2: Compare to our problem

Our problem is 15 - 8, which is 1 less than 16 - 8

Step 3: Apply the adjustment

Since 15 is 1 less than 16, our answer is 1 less than 8: 8 - 1 = 7

Step 4: Verify

7 + 8 = 15 ✓

15 - 8 = 7
Final answer:

7

Applied rules:

• Advanced near doubles: Use related doubles facts to solve

• Adjustment strategy: Modify the doubles result based on differences

• Verification: Always check with the inverse operation

Related Examples:
  • 14 - 7: Use 14 - 7 = 7 (exact doubles)
  • 13 - 6: Use 12 - 6 = 6, then 13 - 6 = 7 (1 more)
  • 17 - 9: Use 18 - 9 = 9, then 17 - 9 = 8 (1 less)
Quick Tips:
  • Look for doubles facts that are close to your problem
  • Adjust the doubles result based on the difference
  • Practice connecting addition and subtraction facts
Frequently Asked Questions:

Q: How do I solve advanced near doubles subtraction?
A: Use the closest doubles fact and adjust the result based on the difference.

Q: What if the numbers aren't close to doubles?
A: Use other strategies like counting back or making tens.

Detailed Summary: Using Doubles and Near Doubles
Key Concepts and Definitions:

Doubles Facts: Addition problems where the same number is added to itself (e.g., 5 + 5 = 10). These are foundational for mental math and help with other addition and subtraction strategies.

Near Doubles: Addition problems where the numbers are consecutive or differ by 1 (e.g., 5 + 6 = 11). This includes both doubles plus 1 and doubles minus 1.

Doubles Plus 1: Addition problems where one number is exactly 1 more than the other (e.g., 5 + 6 = 11). This is solved by using the smaller number's doubles fact and adding 1.

Doubles Minus 1: Addition problems where one number is exactly 1 less than the other (e.g., 6 + 5 = 11). This is solved by using the larger number's doubles fact and subtracting 1.

Doubles Subtraction: Subtraction problems where the subtrahend is half of the minuend (e.g., 12 - 6 = 6). These use the same numbers as doubles addition facts.

Fact Families: Groups of related addition and subtraction facts that use the same numbers, including doubles relationships.

Core Rules and Principles:
  1. Doubles Rule: When you double a number, the result is always even and equals the number × 2.
  2. Doubles Plus 1 Rule: Use the smaller number's doubles fact and add 1 more to the result.
  3. Doubles Minus 1 Rule: Use the larger number's doubles fact and subtract 1 from the result.
  4. Doubles Subtraction Rule: The answer to doubles subtraction is always the same as the number being subtracted.
  5. Sequential Addition/Subtraction: When solving problems with multiple operations, work from left to right.
  6. Pattern Recognition: Doubles and near doubles follow predictable patterns that aid in memorization.
Effective Strategies:
  • Doubles Strategy: Memorize doubles facts for quick recall
  • Doubles Plus 1: Use smaller number's doubles fact and add 1
  • Doubles Minus 1: Use larger number's doubles fact and subtract 1
  • Doubles Subtraction: Use the related addition fact
  • Pattern Recognition: Look for consecutive or repeated numbers
Common Mistakes to Avoid:
  • Confusing doubles with other addition facts
  • Forgetting that doubles always result in even numbers
  • Not recognizing near doubles opportunities
  • Mixing up when to add versus subtract
  • Choosing the wrong number for the doubles fact
  • Not adjusting properly for near doubles
Memory Techniques:
  • Practice doubles facts daily until automatic
  • Use visual aids like dot patterns or counters
  • Create rhymes or songs for difficult facts
  • Connect doubles to real-world situations
Checking Your Work:
  • Verify doubles by counting or using objects
  • Use inverse operations to check answers
  • Estimate to ensure answers are reasonable
  • Look for patterns to confirm accuracy
Progressive Examples:
  • Basic Doubles: 2 + 2 = 4, 3 + 3 = 6, 4 + 4 = 8
  • Doubles Plus 1: 3 + 4 = 7, 5 + 6 = 11, 7 + 8 = 15
  • Doubles Minus 1: 4 + 3 = 7, 6 + 5 = 11, 8 + 7 = 15
  • Doubles Subtraction: 8 - 4 = 4, 10 - 5 = 5, 14 - 7 = 7
  • Near Doubles: 4 + 5 = 9, 7 + 6 = 13, 9 + 8 = 17

Key Takeaways for Memorization

  • Doubles facts form the foundation for other addition and subtraction strategies
  • Doubles always result in even numbers
  • Doubles Plus 1 uses the smaller number's doubles fact plus 1
  • Doubles Minus 1 uses the larger number's doubles fact minus 1
  • Doubles subtraction always results in the same number as the subtrahend
  • Near doubles always result in odd numbers
  • Recognizing patterns speeds up computation
  • Practice leads to automaticity with basic facts
  • Understanding relationships helps with problem-solving
Key Laws, Methods, Rules, and Definitions
n + n = 2n (doubles), n + (n+1) = 2n+1 (near doubles)
Doubles and Near Doubles Structure
Key definitions:

Doubles: Addition of the same number to itself (n + n)

Near Doubles: Addition of consecutive numbers where the second is 1 more (n + (n+1))

Doubles Subtraction: Subtraction where subtrahend is half the minuend (2n - n = n)

Complete methodology:
  1. Identify the pattern: Recognize doubles, near doubles, or doubles subtraction
  2. Select the strategy: Use appropriate doubles-based method
  3. Apply the method: Execute the chosen strategy systematically
  4. Verify the result: Check by counting or using inverse operations
Tip 1: Memorize doubles facts (1+1 through 10+10) for quick recall.
Tip 2: Use doubles facts to solve near doubles quickly.
Tip 3: Doubles always result in even numbers.
Tip 4: Use the smaller number for doubles plus 1, larger number for doubles minus 1.
Common errors: Confusing doubles with other facts, mixing up plus/minus strategies.
Fluency building: Daily practice, flashcards, math games.
Rules to remember:

• Doubles facts are foundational for mental math fluency

• Doubles Plus 1 uses smaller number's doubles fact plus 1

• Doubles Minus 1 uses larger number's doubles fact minus 1

• Doubles subtraction always results in the same number as the subtrahend

• Doubles always result in even numbers

• Near doubles always result in odd numbers

• Pattern recognition improves computational speed

• Verification ensures accuracy

Rules and Methods for Doubles and Near Doubles
n + n = 2n, n + (n+1) = 2n+1, (n+1) + n = 2n+1
Core Formulas
Formula 1
Doubles
n + n = 2n
Formula 2
Doubles Plus 1
n + (n+1) = 2n+1
Formula 3
Doubles Minus 1
(n+1) + n = 2n+1
Formula 4
Doubles Subtraction
2n - n = n

Key Takeaways

  • Doubles facts form the foundation for other addition and subtraction strategies
  • Doubles Plus 1 uses the smaller number's doubles fact plus 1
  • Doubles Minus 1 uses the larger number's doubles fact minus 1
  • Doubles subtraction always results in the same number as the subtrahend
  • Near doubles always result in odd numbers
  • Recognizing patterns accelerates problem-solving
  • Practice leads to automaticity with basic facts
  • Understanding relationships helps with problem-solving

Questions & Answers

Question: Why are doubles and near doubles facts so important in math?

Answer: Doubles and near doubles facts are extremely important because they:

  • Build a strong foundation for mental math
  • Help with solving other addition and subtraction problems efficiently
  • Lead to faster computation and greater accuracy
  • Develop number sense and pattern recognition
  • Prepare students for multiplication concepts

Once you know your doubles facts automatically, you can use them to solve many other addition and subtraction problems quickly. For example, if you know 8 + 8 = 16, you can easily figure out 8 + 9 = 17.

Question: My child struggles with near doubles. How can I help them master these facts?

Answer: Here are effective strategies to help with near doubles:

  • Build on doubles: Make sure your child knows doubles facts well first
  • Use visual aids: Show with objects that 7 + 8 is the same as 7 + 7 + 1
  • Practice sequentially: Start with smaller numbers (3+4) before larger ones (8+9)
  • Make connections: Explain that near doubles are just doubles plus or minus 1
  • Play games: Use dice or cards to generate near doubles problems

Regular practice with concrete examples will help your child see the relationship and develop fluency with near doubles facts.

Question: How can I remember all these doubles and near doubles facts?

Answer: Here are memory techniques for doubles and near doubles:

  • Practice regularly: Do a few minutes each day
  • Use rhythm and rhyme: "6 + 6 is 12, that's a fact divine!"
  • Visualize: Picture two equal groups
  • Connect to real life: Eggs come in doubles (6+6=12), wheels on cars (2+2=4)
  • Use flashcards: Practice until automatic

Remember, doubles always result in even numbers, and near doubles always result in odd numbers. The more you practice, the easier they become!

Math Glossary

Doubles Facts
Addition problems where the same number is added to itself (e.g., 5 + 5 = 10).
Doubles Plus 1
Addition problems where one number is exactly 1 more than the other (e.g., 5 + 6).
Doubles Minus 1
Addition problems where one number is exactly 1 less than the other (e.g., 6 + 5).
Near Doubles
Addition problems with consecutive numbers (e.g., 5 + 6).
Doubles Subtraction
Subtraction problems where the subtrahend is half of the minuend (e.g., 12 - 6).
Fact Family
A group of related addition and subtraction facts using the same numbers.
Pattern Recognition
Identifying consistent relationships between numbers in mathematical operations.

Elementary Math Educational Team

Certified Elementary Teachers & Curriculum Specialists

Our team of experienced elementary math teachers and curriculum developers creates research-based, student-friendly doubles and near doubles resources. All content is aligned with Common Core State Standards for Mathematics and reviewed by mathematics education experts to ensure accuracy and pedagogical effectiveness for Grade 2 learners.