Doubles and Near Doubles Worksheets 2nd Grade for Grade 1 Students

Advanced doubles and near doubles addition strategies: comprehensive worksheets with step-by-step solutions, visual aids, and memorization techniques.

Worksheet Solutions: Exercises 1 to 3
1 Advanced Doubles Facts
Worksheet Exercise 1
Complete the advanced doubles facts:
5 + 5 = ?
6 + 6 = ?
7 + 7 = ?
8 + 8 = ?
Visual: 🟡🟡🟡🟡🟡 + 🟡🟡🟡🟡🟡 = 🟡🟡🟡🟡🟡🟡🟡🟡🟡🟡
Definition:

Advanced Doubles Facts: Higher number doubles facts (5+5 through 10+10) that build upon basic doubles

Advanced Doubles Strategy:
  1. Recognize that both numbers in the addition are the same
  2. Apply the multiplication shortcut: n + n = 2n
  3. Build upon previously learned doubles facts
  4. Use skip counting by 2s to verify results
Problem
5 + 5
Doubles Rule
5 × 2 = 10
Step 1: Identify the doubles pattern

Both numbers are 5, so this is an advanced doubles fact: 5 + 5

Step 2: Apply the multiplication shortcut

When adding the same number twice, multiply by 2: 5 × 2 = 10

Step 3: Count to verify

Count: 5, 6, 7, 8, 9, 10 (adding 5 more starting from 5)

Step 4: Build on previous knowledge

Remember: 4+4=8, so 5+5 is one more group of 2: 8+2=10

5 + 5 = 10
6 + 6 = 12
7 + 7 = 14
8 + 8 = 16
Final answers:

5 + 5 = 10, 6 + 6 = 12, 7 + 7 = 14, 8 + 8 = 16

Applied rules:

• Advanced Doubles Rule: n + n = 2n (multiply by 2)

• Pattern Recognition: Identifying when both addends are equal

• Building on Known Facts: Connecting advanced doubles to basic ones

2 Advanced Near Doubles Strategy
Worksheet Exercise 2
Complete the advanced near doubles:
6 + 7 = ?
7 + 8 = ?
8 + 9 = ?
9 + 10 = ?
Visual: 🔵🔵🔵🔵🔵🔵 + 🔵🔵🔵🔵🔵🔵🔵 = 🔵🔵🔵🔵🔵🔵🔵🔵🔵🔵🔵
Definition:

Advanced Near Doubles: Addition of consecutive higher numbers (6+7, 7+8, 8+9, 9+10)

Problem
6 + 7
Near Doubles
6 + (6+1) = 13
Step 1: Recognize the near doubles pattern

6 and 7 are consecutive numbers (one apart), so this is an advanced near doubles fact

Step 2: Use the doubles relationship

Think of 6 + 6 = 12, then add 1 more: 12 + 1 = 13

Step 3: Alternative counting method

Start at 6 and count 7 more: 6, 7, 8, 9, 10, 11, 12, 13

Step 4: Connect to visual representation

6 dots plus 7 dots equals 13 dots total

6 + 7 = 13
7 + 8 = 15
8 + 9 = 17
9 + 10 = 19
Final answers:

6 + 7 = 13, 7 + 8 = 15, 8 + 9 = 17, 9 + 10 = 19

Applied rules:

• Advanced Near Doubles Strategy: Use known doubles and adjust by 1

• Pattern Recognition: Numbers differ by 1

• Building on Known Facts: Leverage memorized doubles

3 Mixed Advanced Doubles and Near Doubles
Worksheet Exercise 3
Circle the doubles and underline the near doubles:
5 + 5, 6 + 7, 8 + 8, 9 + 10, 7 + 7
Visual: 🟠🟠🟠🟠🟠 + 🟠🟠🟠🟠🟠🟠 = 🟠🟠🟠🟠🟠🟠🟠🟠🟠🟠🟠
Definition:

Advanced Doubles vs Near Doubles: Recognizing the difference between identical addends and consecutive addends in higher numbers

Problem
Identify patterns
Doubles
5+5, 8+8, 7+7
Near Doubles
6+7, 9+10
Step 1: Identify the advanced doubles

Look for pairs with identical numbers: 5+5, 8+8, 7+7

Step 2: Identify the advanced near doubles

Look for consecutive numbers: 6+7, 9+10

Step 3: Calculate each

Doubles: 5+5=10, 8+8=16, 7+7=14

Near Doubles: 6+7=13, 9+10=19

Step 4: Connect to visual representation

Equal groups for doubles, one more for near doubles

Doubles: 5+5, 8+8, 7+7
Near Doubles: 6+7, 9+10
Final answer:

Doubles: 5+5, 8+8, 7+7 | Near Doubles: 6+7, 9+10

Applied rules:

• Pattern Recognition: Distinguish between identical and consecutive addends

• Classification: Categorizing problems by type

• Application: Using appropriate strategy for each type

Advanced Doubles and Near Doubles: Core Concepts & Worksheets
n + n = 2n
Doubles Formula
Advanced Doubles
n + n
n + n = 2n
Advanced Near Doubles
n + (n+1)
n + (n+1) = 2n + 1
Advanced Near Doubles
(n+1) + n
(n+1) + n = 2n + 1
Key definitions:

Advanced Doubles: Addition of identical higher numbers (5+5 through 10+10)

Advanced Near Doubles: Addition of consecutive higher numbers (6+7, 7+8, 8+9, 9+10)

Worksheets: Structured practice materials for skill reinforcement

Complete methodology:
  1. Identify the pattern: Recognize advanced doubles vs near doubles
  2. Apply the strategy: Use doubles facts for near doubles
  3. Calculate: Execute the addition
  4. Verify: Check your answer through counting or reverse operation
  5. Practice: Complete multiple worksheet exercises
Tip 1: Master basic doubles first (1+1 through 4+4) before advancing to higher numbers.
Tip 2: For advanced near doubles, find the smaller number and double it, then add 1.
Tip 3: Use visual aids like ten frames or number bonds to represent advanced facts.
Tip 4: Practice skip counting by 2s up to 20 to reinforce advanced doubles concept.
Common errors: Forgetting advanced doubles facts, miscounting with larger numbers, confusing near doubles with regular addition.
Worksheet benefits: Repetition builds fluency, visual representations aid understanding, structured practice ensures mastery of advanced facts.
Essential advanced facts to memorize:

• 5+5=10, 6+6=12, 7+7=14, 8+8=16, 9+9=18, 10+10=20

• Advanced near doubles: 5+6=11, 6+7=13, 7+8=15, 8+9=17, 9+10=19

Advanced Doubles & Near Doubles Worksheets
📋
Advanced Doubles Patterns

All advanced doubles results are even numbers

Results increase by 2 each time

Pattern: 10, 12, 14, 16, 18, 20

Advanced Near Doubles Patterns

All advanced near doubles results are odd numbers

Results increase by 2 each time

Pattern: 11, 13, 15, 17, 19

Advanced Worksheet Completion Strategy
1
Read
2
Identify
3
Recall
4
Solve
5
Check
Advanced Worksheet Benefits

Builds fluency with larger numbers

Strengthens mental math skills

Prepares for more complex addition

Practice Daily! Master Advanced Facts!
Worksheet Solutions: Exercises 4 to 5
4 Advanced Near Doubles with Larger Numbers
Worksheet Exercise 4
Solve the advanced near doubles using the doubles strategy:
8 + 9 = ? (think: 8 + 8 + 1 = ?)
9 + 10 = ? (think: 9 + 9 + 1 = ?)
7 + 8 = ? (think: 7 + 7 + 1 = ?)
Visual: ⚪⚪⚪⚪⚪⚪⚪ + ⚪⚪⚪⚪⚪⚪⚪⚪ = ⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪
Definition:

Advanced Near Doubles with Larger Numbers: Using doubles facts for the largest single-digit numbers (8+9, 9+10)

Problem
8 + 9
Doubles Base
8 + 8 = 16
Add One More
16 + 1 = 17
Step 1: Recognize the advanced near doubles pattern

8 and 9 are consecutive numbers (one apart), so this is an advanced near doubles fact

Step 2: Recall the related advanced doubles fact

8 + 8 = 16 (memorized advanced doubles fact)

Step 3: Add the extra amount

Since 9 is one more than 8, add 1 to the doubles result: 16 + 1 = 17

Step 4: Verify through alternative method

Count 9 more starting from 8: 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

8 + 9 = 17
9 + 10 = 19
7 + 8 = 15
Final answers:

8 + 9 = 17, 9 + 10 = 19, 7 + 8 = 15

Applied rules:

• Advanced Near Doubles Strategy: Use related doubles fact and adjust

• Building on Known Facts: Leverage memorized doubles for efficiency

• Addition Properties: Commutative and associative properties

5 Word Problems with Advanced Numbers
Worksheet Exercise 5
Sarah has 6 stickers. Her friend gives her 7 more stickers. How many stickers does Sarah have now?
Tom has 8 toy cars. He buys 8 more toy cars. How many toy cars does Tom have now?
Jake has 9 books. His sister gives him 10 more books. How many books does Jake have now?
Visual: 📚📚📚📚📚📚📚📚 + 📚📚📚📚📚📚📚📚 = 📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚📚
Definition:

Word Problem Application: Real-world context for advanced doubles and near doubles (6 and 7 are consecutive, 8 and 8 are identical, 9 and 10 are consecutive)

Problem 1
6 + 7
Doubles Base
6 + 6 = 12
Add One More
12 + 1 = 13
Step 1: Translate the word problem

"Sarah has 6 stickers and gets 7 more" means 6 + 7 = ?

Step 2: Recognize the near doubles pattern

6 and 7 are consecutive numbers (one apart), so this is an advanced near doubles fact

Step 3: Apply the near doubles strategy

Use the doubles fact: 6 + 6 = 12, then add 1 more: 12 + 1 = 13

Step 4: Interpret the result in context

Sarah has 13 stickers in total

Step 5: Solve the advanced doubles problem

Tom: 8 + 8 = 16 toy cars (advanced doubles fact)

Step 6: Solve the largest near doubles problem

Jake: 9 + 10 = 19 books (9 + 9 + 1 = 18 + 1 = 19)

Sarah: 6 + 7 = 13 stickers
Tom: 8 + 8 = 16 cars
Jake: 9 + 10 = 19 books
Final answers:

Sarah has 13 stickers. Tom has 16 toy cars. Jake has 19 books.

Applied rules:

• Problem Translation: Convert words to mathematical expressions

• Advanced Near Doubles Strategy: Use related doubles fact and adjust

• Contextual Understanding: Relate math back to real-world scenario

Complete Summary: Advanced Doubles and Near Doubles Mastery
n + n = 2n
Doubles Formula
Key definitions:

Advanced Doubles: Addition of identical higher numbers (5+5 through 10+10)

Advanced Near Doubles: Addition of consecutive higher numbers (6+7, 7+8, 8+9, 9+10)

Worksheets: Structured practice materials for skill reinforcement

Strategy: Use known doubles to solve near doubles efficiently

Complete methodology:
  1. Identify the pattern: Recognize advanced doubles vs near doubles
  2. Apply the strategy: Use doubles facts for near doubles
  3. Calculate: Execute the addition
  4. Verify: Check your answer through counting or reverse operation
  5. Practice: Complete multiple worksheet exercises
Tip 1: Master basic doubles first before advancing to higher numbers.
Tip 2: For advanced near doubles, find the smaller number and double it, then add 1.
Tip 3: Use visual aids like ten frames or number bonds to represent advanced facts.
Tip 4: Practice skip counting by 2s up to 20 to reinforce advanced doubles concept.
Common errors: Forgetting advanced doubles facts, miscounting with larger numbers, confusing near doubles with regular addition.
Memory aids: Songs, rhymes, visual patterns, and repeated practice.
Essential advanced facts to memorize:

• 5+5=10, 6+6=12, 7+7=14, 8+8=16, 9+9=18, 10+10=20

• Advanced near doubles: 5+6=11, 6+7=13, 7+8=15, 8+9=17, 9+10=19

Advanced Doubles & Near Doubles Mastery
🎯
Advanced Doubles Patterns

All advanced doubles results are even numbers

Results increase by 2 each time

Pattern: 10, 12, 14, 16, 18, 20

Advanced Near Doubles Patterns

All advanced near doubles results are odd numbers

Results increase by 2 each time

Pattern: 11, 13, 15, 17, 19

Advanced Doubles & Near Doubles Strategy Flow
1
Identify
2
Match
3
Recall
4
Calculate
5
Verify
Advanced Pattern Recognition

Advanced Doubles: Equal groups side by side

Advanced Near Doubles: One group has one more item

Practice Makes Perfect! Master Advanced Patterns!

Questions & Answers

Question: My child is struggling with advanced near doubles. Should we go back to basic doubles first?

Answer: Yes, absolutely! Advanced near doubles rely heavily on having a solid foundation with basic doubles. If your child is struggling:

  • Review basic doubles facts (1+1 through 4+4) until they're automatic
  • Practice the connection between basic doubles and near doubles first
  • Once basic facts are secure, gradually introduce advanced doubles (5+5 through 10+10)
  • Then move to advanced near doubles using the same strategy

The foundation is critical - without automatic recall of basic doubles, advanced near doubles become much more difficult. Take time to solidify the basics before moving forward.

Consider using visual aids like ten frames or number bonds to help your child see the relationships between numbers.

Question: How can I help students visualize advanced doubles and near doubles?

Answer: Visual representations are especially important for advanced facts! Here are techniques:

  • Ten frames: Fill two ten frames with the same number for doubles, or consecutive numbers for near doubles
  • Number bonds: Show the relationship between the parts and whole
  • Objects: Use counters, blocks, or manipulatives arranged in matching pairs for doubles, then add one extra for near doubles
  • Number lines: Show jumps of equal size for doubles, then one extra jump for near doubles

For advanced facts, consider using color-coding: use the same color for both groups in doubles, and a different color for the extra item in near doubles. This helps students see the relationship clearly.

Also encourage students to draw pictures or use their fingers as a backup strategy when working with larger numbers.

Question: What activities help students master advanced doubles and near doubles?

Answer: Effective activities for advanced facts include:

  • Advanced doubles dice game: Roll two dice and identify if they form a doubles fact
  • Flashcards: Mix basic and advanced doubles for cumulative practice
  • Number bond activities: Focus on the part-part-whole relationship
  • Story problems: Use word problems with larger numbers
  • Partner games: Students quiz each other on advanced facts

Incorporate movement by having students take steps or clap for each number when practicing. This kinesthetic approach helps with larger numbers.

Regular timed practice sessions can build fluency, but balance speed with accuracy. Start with untimed practice to ensure understanding before adding time pressure.