Using Near Doubles to Add - Grade 2 Mathematics - Exercises with solutions

Master using near doubles to add: near doubles facts, doubles plus 1, doubles minus 1, and near doubles strategy through these 10 detailed exercises with verified solutions.

Solutions: Exercises 1 to 10
1 Basic near doubles
Exercise 1
What is 5 + 6?
Difficulty: Beginner Time: ~1 minute Skills: Near Doubles Strategy
Definition:

Near doubles: Addition problems where the numbers are consecutive (differ by 1)

Note: Near doubles can be solved using known doubles facts plus or minus 1.

Step-by-step near doubles method:
  1. Recognize that 6 is 1 more than 5
  2. Use the doubles fact: 5 + 5 = 10
  3. Add 1 more: 10 + 1 = 11
Original Problem
5 + 6
Near Doubles Strategy
5 + 5 + 1
Solution
11
Step 1: Recognize the pattern

5 and 6 are consecutive numbers (differ by 1)

Step 2: Use doubles fact

We know 5 + 5 = 10

Step 3: Add the difference

Since 6 is 1 more than 5, add 1 to the doubles result: 10 + 1 = 11

5 + 6 = 11
Final answer:

5 + 6 = 11

Applied rules:

• Near doubles: Consecutive numbers can use doubles strategy

• Strategy: Use doubles fact and adjust by the difference

• Memory tip: Near doubles are doubles ± 1

Related Examples:
  • 4 + 5: Use 4 + 4 = 8, then 8 + 1 = 9
  • 6 + 7: Use 6 + 6 = 12, then 12 + 1 = 13
  • 3 + 4: Use 3 + 3 = 6, then 6 + 1 = 7
Quick Tips:
  • Look for consecutive numbers in addition problems
  • Always use the smaller number for the doubles fact
  • Add 1 more than the doubles result
Frequently Asked Questions:

Q: What are near doubles?
A: Addition problems with consecutive numbers like 5+6 or 7+8.

Q: How do I solve near doubles?
A: Use the smaller number's doubles fact and add 1.

2 Doubles plus 1
Exercise 2
What is 7 + 8?
Difficulty: Beginner Time: ~1 minute Skills: Doubles Plus 1 Strategy
Definition:

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

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

Step-by-step doubles plus 1 method:
  1. Recognize that 8 is 1 more than 7
  2. Use the doubles fact: 7 + 7 = 14
  3. Add 1 more: 14 + 1 = 15
Original Problem
7 + 8
Doubles Plus 1
7 + 7 + 1
Solution
15
Step 1: Identify the relationship

8 is exactly 1 more than 7

Step 2: Use doubles fact

We know 7 + 7 = 14

Step 3: Add the extra one

Since 8 is 1 more than 7, add 1 to the doubles result: 14 + 1 = 15

7 + 8 = 15
Final answer:

7 + 8 = 15

Applied rules:

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

• Strategy: Use the smaller number's doubles fact and add 1

• Memory tip: This is the same as near doubles

Related Examples:
  • 6 + 7: Use 6 + 6 = 12, then 12 + 1 = 13
  • 9 + 10: Use 9 + 9 = 18, then 18 + 1 = 19
  • 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 7+8 or 9+10.

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
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 exactly 1 less than the other

Note: This strategy uses the doubles fact for the larger number 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:
  • 6 + 5: Use 6 + 6 = 12, then 12 - 1 = 11
  • 9 + 8: Use 9 + 9 = 18, then 18 - 1 = 17
  • 4 + 3: Use 4 + 4 = 8, then 8 - 1 = 7
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 larger number's doubles fact and subtract 1.

Solutions: Exercises 4 to 5
4 Identifying near doubles
Exercise 4
Is 9 + 10 a near doubles fact? What is the answer?
Definition:

Identifying near doubles: Recognizing when an addition problem has consecutive numbers

Note: Being able to identify near doubles quickly helps with mental math strategies.

Step-by-step identification method:
  1. Look at both numbers in the addition problem
  2. Check if they are consecutive (differ by 1)
  3. If yes, it's a near doubles fact
  4. Calculate: 9 + 10 = 19
Original Problem
9 + 10
Is it near doubles?
Yes
Solution
19
Step 1: Examine the numbers

9 and 10 are consecutive numbers (differ by 1)

Step 2: Identify the pattern

Since they are consecutive, this is a near doubles fact

Step 3: Solve using strategy

Use 9 + 9 = 18, then add 1: 18 + 1 = 19

9 + 10 = 19
Final answer:

Yes, 9 + 10 is a near doubles fact. The answer is 19.

Applied rules:

• Identification: Check if numbers differ by 1

• Pattern recognition: Near doubles use consecutive numbers

• Memory tip: Practice recognizing near doubles patterns

Related Examples:
  • 7 + 8: Yes, near doubles → 15
  • 6 + 7: Yes, near doubles → 13
  • 8 + 10: No, not near doubles (differ by 2)
Quick Tips:
  • Look for consecutive numbers in addition problems
  • Practice recognizing near doubles quickly
  • Use the smaller number for the doubles fact
Frequently Asked Questions:

Q: How do I know if an addition problem is a near doubles fact?
A: Check if the two numbers differ by exactly 1.

Q: What if the numbers differ by more than 1?
A: Then it's not a near doubles fact.

5 Missing numbers
Exercise 5
What number plus 8 equals 17?
Definition:

Missing number in near doubles: Finding the unknown addend in a near doubles equation

Note: This involves understanding that 17 is 1 more than double 8.

Step-by-step missing number method:
  1. Think: ? + 8 = 17
  2. Recognize this as a near doubles pattern
  3. 8 + 8 = 16, and 17 = 16 + 1
  4. So the missing number is 8 + 1 = 9
Original Problem
? + 8 = 17
Near Doubles Pattern
8 + 8 = 16, 17 = 16 + 1
Solution
9
Step 1: Understand the problem

We need to find what number added to 8 equals 17

Step 2: Recognize the near doubles pattern

8 + 8 = 16, and 17 is 1 more than 16

Step 3: Apply the pattern

Since 17 is 1 more than 16, the missing number is 8 + 1 = 9

Step 4: Verify

9 + 8 = 17 ✓

9 + 8 = 17
Final answer:

The number is 9

Applied rules:

• Missing number: Use known facts to find the unknown

• Near doubles pattern: Recognize that 17 is 1 more than double 8

• Verification: Always check by adding the answer to the known number

Related Examples:
  • ? + 6 = 13 → 6 + 6 = 12, so ? = 7 (since 13 = 12 + 1)
  • ? + 5 = 11 → 5 + 5 = 10, so ? = 6 (since 11 = 10 + 1)
  • ? + 7 = 15 → 7 + 7 = 14, so ? = 8 (since 15 = 14 + 1)
Quick Tips:
  • Look for near doubles patterns in missing number problems
  • Always verify by substituting back
  • Use number bonds to help visualize the problem
Frequently Asked Questions:

Q: How do I solve missing number problems with near doubles?
A: Recognize the near doubles pattern and adjust accordingly.

Q: What if the result isn't 1 more than double the known number?
A: Then it's not a near doubles pattern, use other strategies.

Solutions: Exercises 6 to 10
6 Fact families
Exercise 6
If 8 + 9 = 17, what are the other facts in this fact family?
Definition:

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

Note: Near doubles create standard fact families with four related facts.

Step-by-step fact family method:
  1. Start with the given addition fact: 8 + 9 = 17
  2. Write the related addition fact: 9 + 8 = 17
  3. Write the first subtraction fact: 17 - 8 = 9
  4. Write the second subtraction fact: 17 - 9 = 8
Given Fact
8 + 9 = 17
Related Addition
9 + 8 = 17
First Subtraction
17 - 8 = 9
Second Subtraction
17 - 9 = 8
Step 1: Identify the numbers involved

We have 8, 9, and 17 in our fact family

Step 2: Write the addition facts

8 + 9 = 17 and 9 + 8 = 17

Step 3: Write the subtraction facts

17 - 8 = 9 and 17 - 9 = 8

Step 4: Verify the relationships

8 + 9 = 17 ✓, 9 + 8 = 17 ✓, 17 - 8 = 9 ✓, 17 - 9 = 8 ✓

The complete fact family: 8 + 9 = 17, 9 + 8 = 17, 17 - 8 = 9, 17 - 9 = 8
Final answer:

The other facts in the family are: 9 + 8 = 17, 17 - 8 = 9, and 17 - 9 = 8

Applied rules:

• Fact family: Four related addition and subtraction facts using same numbers

• Inverse operations: Addition and subtraction are related

• Verification: Always check relationships between facts

Related Examples:
  • If 6 + 7 = 13: 7 + 6 = 13, 13 - 6 = 7, 13 - 7 = 6
  • If 4 + 5 = 9: 5 + 4 = 9, 9 - 4 = 5, 9 - 5 = 4
  • If 9 + 10 = 19: 10 + 9 = 19, 19 - 9 = 10, 19 - 10 = 9
Quick Tips:
  • Fact families show the connection between addition and subtraction
  • Knowing one fact helps you know three others
  • Use fact families to check your work
Frequently Asked Questions:

Q: What is a fact family with near doubles?
A: A group of related addition and subtraction facts using the same three numbers, including consecutive addends.

Q: How do fact families help with near doubles?
A: If you know an addition fact, you automatically know the related subtraction facts.

7 Word problem
Exercise 7
Maria had 13 stickers. She gave 6 to her friend. How many stickers does Maria have now?
Definition:

Word problem with near doubles: A real-world problem that involves numbers related to near doubles facts

Note: This problem connects to the near doubles fact 6 + 7 = 13.

Step-by-step word problem method:
  1. Identify the starting amount: 13 stickers
  2. Identify what is taken away: 6 stickers
  3. Recognize the near doubles connection: 13 is 1 more than double 6 (12)
  4. Use the relationship: 13 - 6 = 7
Starting Amount
13 stickers
Amount Given Away
6 stickers
Near Doubles Connection
13 = 6 + 6 + 1
Remaining Amount
7 stickers
Step 1: Identify what we know

Maria started with 13 stickers

Step 2: Identify what happened

She gave away 6 stickers

Step 3: Recognize the near doubles relationship

13 is 1 more than double 6 (since 6 + 6 = 12 and 13 = 12 + 1)

Step 4: Solve

13 - 6 = 7

Step 5: Answer the question

Maria has 7 stickers now

Maria has 7 stickers now
Final answer:

Maria has 7 stickers now

Applied rules:

• Problem solving: Identify key information

• Near doubles connection: Relate to known addition facts

• Subtraction: Taking away means subtraction

• Contextual answer: Include units in your answer

Related Examples:
  • Tom had 15 pencils, lost 7 → 15 - 7 = 8 (related to 7 + 8 = 15)
  • Sarah had 14 cookies, ate 6 → 14 - 6 = 8 (related to 6 + 8 = 14)
  • There were 12 birds, 5 flew away → 12 - 5 = 7 (related to 5 + 7 = 12)
Quick Tips:
  • Look for keywords like "gave", "lost", "used", "left" for subtraction
  • Connect to near doubles facts when possible
  • Always answer with a complete sentence
Frequently Asked Questions:

Q: How do I know when to use near doubles in word problems?
A: Look for numbers that are consecutive or nearly consecutive.

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

8 Patterns
Exercise 8
What pattern do you notice in these problems: 5 + 6 = 11, 6 + 7 = 13, 7 + 8 = 15?
Definition:

Near doubles pattern: A consistent relationship in consecutive addition problems

Note: Near doubles with consecutive numbers always result in odd numbers.

Step-by-step pattern recognition method:
  1. Look at the first numbers: 5, 6, 7 (increasing by 1)
  2. Look at the second numbers: 6, 7, 8 (increasing by 1)
  3. Look at the answers: 11, 13, 15 (odd numbers increasing by 2)
  4. Notice: consecutive additions always result in odd numbers
Pattern Sequence
5+6=11, 6+7=13, 7+8=15
Pattern Rule
Consecutive additions result in odd numbers
Next in Pattern
8+9=17
Step 1: Analyze the first addends

They increase: 5, 6, 7 (each is 1 more than the previous)

Step 2: Analyze the second addends

They increase: 6, 7, 8 (each is 1 more than the previous)

Step 3: Analyze the results

They increase: 11, 13, 15 (each is 2 more than the previous, all odd)

Step 4: Identify the pattern

When both addends increase by 1, the result increases by 2

Consecutive additions always result in odd numbers and increase by 2 each time
Final answer:

When adding consecutive numbers, the result is always odd and increases by 2 each time.

Applied rules:

• Pattern recognition: Consecutive additions always result in odd numbers

• Mathematical relationship: (n) + (n+1) = 2n+1 (always odd)

• Generalization: This pattern continues with larger consecutive numbers

Related Examples:
  • 8 + 9 = 17, 9 + 10 = 19, 10 + 11 = 21 (pattern continues)
  • All results are odd numbers
  • Each result is 2 more than the previous result
Quick Tips:
  • Near doubles always result in odd numbers
  • Recognizing patterns helps with memorization
  • Understanding patterns builds number sense
Frequently Asked Questions:

Q: Why do near doubles always result in odd numbers?
A: Because you're adding two consecutive numbers (one even, one odd), which always results in odd.

Q: What's the pattern in near doubles?
A: Consecutive numbers always add to odd numbers.

9 Mixed practice
Exercise 9
Solve: 9 + 9 + 1
Definition:

Mixed operations: Problems combining different addition strategies including doubles and near doubles

Note: This problem combines a doubles fact with adding 1 more.

Step-by-step mixed operations method:
  1. Solve the doubles first: 9 + 9 = 18
  2. Add the remaining number: 18 + 1 = 19
Original Problem
9 + 9 + 1
Doubles Part
9 + 9 = 18
Add Remaining
18 + 1 = 19
Final Answer
19
Step 1: Identify the doubles

First, solve 9 + 9 = 18

Step 2: Add the remaining number

Now we have 18 + 1 = 19

Step 3: Final answer

9 + 9 + 1 = 19

9 + 9 + 1 = 19
Final answer:

19

Applied rules:

• Sequential solving: Solve one operation at a time

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

• Strategy combination: This is equivalent to 9 + 10 (near doubles)

Related Examples:
  • 7 + 7 + 1: First 7 + 7 = 14, then 14 + 1 = 15 (equivalent to 7 + 8)
  • 8 + 8 + 1: First 8 + 8 = 16, then 16 + 1 = 17 (equivalent to 8 + 9)
  • 6 + 6 + 1: First 6 + 6 = 12, then 12 + 1 = 13 (equivalent to 6 + 7)
Quick Tips:
  • Solve doubles parts first in multi-step problems
  • Notice that 9 + 9 + 1 is the same as 9 + 10
  • Use this connection to solve near doubles problems
Frequently Asked Questions:

Q: How is 9 + 9 + 1 related to near doubles?
A: It's equivalent to 9 + 10, which is a near doubles fact.

Q: Should I solve left to right in mixed problems?
A: For addition, you can group numbers in any order.

10 Advanced near doubles
Exercise 10
What is 17 - 8?
Definition:

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

Note: This problem connects to the near doubles fact 8 + 9 = 17.

Step-by-step advanced near doubles subtraction method:
  1. Recognize that 17 is close to double 8 (which is 16)
  2. Think about the related near doubles fact: 8 + 9 = 17
  3. Therefore: 17 - 8 = 9
Original Problem
17 - 8
Near Doubles Connection
8 + 9 = 17
Solution
9
Step 1: Think about related near doubles fact

We know 8 + 9 = 17

Step 2: Apply to subtraction

If 8 + 9 = 17, then 17 - 8 = 9

Step 3: Verify

9 + 8 = 17 ✓

17 - 8 = 9
Final answer:

9

Applied rules:

• Near doubles connection: Use related addition facts to solve subtraction

• Inverse operations: Addition and subtraction are connected

• Verification: Always check with the inverse operation

Related Examples:
  • 15 - 7: Related to 7 + 8 = 15, so 15 - 7 = 8
  • 13 - 6: Related to 6 + 7 = 13, so 13 - 6 = 7
  • 19 - 9: Related to 9 + 10 = 19, so 19 - 9 = 10
Quick Tips:
  • Connect subtraction problems to related near doubles facts
  • Use addition facts to help with subtraction
  • Always verify by adding the answer to the number subtracted
Frequently Asked Questions:

Q: How do I solve advanced near doubles subtraction?
A: Think about the related near doubles addition fact.

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

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

Near Doubles: Addition problems where the numbers are consecutive (differ by 1), such as 5 + 6 or 7 + 8. These can be solved using known doubles facts plus or 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 Facts: Addition problems where the same number is added to itself (e.g., 5 + 5 = 10).

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

Addend: The numbers being added together in an addition problem.

Sum: The answer to an addition problem.

Core Rules and Principles:
  1. Near Doubles Rule: When numbers differ by 1, use the doubles fact and adjust by 1.
  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. Sequential Addition: When adding three or more numbers, look for doubles first to simplify the problem.
  5. Pattern Recognition: Near doubles always result in odd numbers.
Effective Strategies:
  • Doubles Plus 1: Use smaller number's doubles fact plus 1
  • Doubles Minus 1: Use larger number's doubles fact minus 1
  • Pattern Recognition: Look for consecutive numbers
  • Fact Families: Use related addition facts to solve subtraction
Common Mistakes to Avoid:
  • Not recognizing near doubles opportunities
  • Choosing the wrong number for the doubles fact
  • Mixing up when to add versus subtract
  • Forgetting that near doubles always result in odd numbers
  • Not checking answers using inverse operations
Memory Techniques:
  • Practice number bonds to 20 regularly
  • Use visual aids like counters or drawings
  • Create stories or rhymes to remember challenging facts
  • Connect near doubles to real-world situations
Checking Your Work:
  • Verify 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 Near Doubles: 3 + 4 = 7 (use 3 + 3 = 6, then 6 + 1 = 7)
  • Medium Near Doubles: 7 + 8 = 15 (use 7 + 7 = 14, then 14 + 1 = 15)
  • Advanced Near Doubles: 9 + 10 = 19 (use 9 + 9 = 18, then 18 + 1 = 19)
  • Mixed Operations: 8 + 8 + 1 = 17 (equivalent to 8 + 9)

Key Takeaways for Memorization

  • Near doubles always result in odd 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
  • Recognizing patterns speeds up computation
  • Practice leads to automaticity with basic facts
  • Understanding relationships helps with problem-solving
  • Fact families connect addition and subtraction
  • Regular practice builds fluency with near doubles
Key Laws, Methods, Rules, and Definitions
n + (n+1) = 2n+1 (near doubles), n + n = 2n (doubles)
Near Doubles and Doubles Structure
Key definitions:

Near Doubles: Addition of consecutive numbers (n + (n+1))

Doubles Plus 1: Addition where second number is 1 more than first (n + (n+1))

Doubles Minus 1: Addition where first number is 1 more than second ((n+1) + n)

Complete methodology:
  1. Identify the pattern: Recognize near doubles, doubles plus 1, or doubles minus 1
  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: Use number bonds to help with near doubles facts quickly.
Tip 2: For doubles plus 1, use the smaller number's doubles fact and add 1.
Tip 3: For doubles minus 1, use the larger number's doubles fact and subtract 1.
Tip 4: Near doubles always result in odd numbers.
Common errors: Not recognizing near doubles patterns, choosing wrong number for doubles fact.
Fluency building: Practice number bonds, use manipulatives, play math games.
Rules to remember:

• Near doubles always result in odd numbers

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

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

• Addition and subtraction are inverse operations

• For mixed operations, work from left to right

• Always check your work by adding or subtracting to verify

Rules and Methods for Near Doubles Addition
n + (n+1) = 2n+1, (n+1) + n = 2n+1
Near Doubles Formulas
Formula 1
Doubles Plus 1
n + (n+1) = 2n+1
Formula 2
Doubles Minus 1
(n+1) + n = 2n+1
Formula 3
Standard Doubles
n + n = 2n

Key Takeaways

  • Near doubles use consecutive numbers
  • Doubles plus 1 uses smaller number's doubles fact plus 1
  • Doubles minus 1 uses larger number's doubles fact minus 1
  • Near doubles always result in odd sums
  • Recognizing patterns accelerates problem-solving
  • Practice leads to automaticity with basic facts

Questions & Answers

Question: Why are near doubles important in math?

Answer: Near doubles are extremely important because they:

  • Build on known doubles facts for quick recall
  • 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
  • Provide efficient strategies for solving problems within 20

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

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

Answer: Here are effective strategies for mastering 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.

Remember, memorization comes after understanding, so make sure they understand what near doubles mean first.

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

Answer: Here are memory techniques for near doubles facts:

  • Practice regularly: Do a few minutes each day
  • Use rhythm and patterns: Notice that near doubles always result in odd numbers
  • Visualize: Picture consecutive groups
  • Connect to real life: Use examples like "I have 7 apples, you have 8 apples"
  • Use flashcards: Practice until automatic

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

Math Glossary

Near Doubles
Addition problems with consecutive numbers (differ by 1), like 5 + 6 or 7 + 8.
Doubles Plus 1
Addition where one number is exactly 1 more than the other (e.g., 5 + 6).
Doubles Minus 1
Addition where one number is exactly 1 less than the other (e.g., 6 + 5).
Doubles Facts
Addition problems where the same number is added to itself (e.g., 5 + 5).
Fact Family
A group of related addition and subtraction facts using the same numbers.
Addend
The numbers being added together in an addition problem.
Sum
The answer to an addition problem.

Elementary Math Educational Team

Certified Elementary Teachers & Curriculum Specialists

Our team of experienced elementary math teachers and curriculum developers creates research-based, student-friendly 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.