Solved Exercises on Using Doubles Facts for Grade 1

Master using doubles facts: addition strategies with visual infographics, step-by-step solutions, and practice problems.

Doubles Facts Concepts & Visuals
USING DOUBLES FACTS SUMMARY

Definition: Doubles facts are addition equations where the same number is added to itself (e.g., 3 + 3 = 6).

Core Rules:

  • Doubles facts: Adding the same number twice (e.g., 4 + 4, 7 + 7)
  • Near doubles: Adding consecutive numbers (e.g., 4 + 5, 7 + 8)
  • Memorize basic doubles facts (1+1 through 10+10)
  • Use doubles facts to solve near doubles problems

Methods: Start with known doubles facts and adjust by 1 for near doubles.

Examples: 5 + 5 = 10 (double), so 5 + 6 = 11 (near double)

Tips: Practice doubles facts regularly, use visual models, and connect to real-life situations.

🔢 Doubles Facts Strategy
Use known doubles to solve addition problems
Definition:

Doubles Facts: Addition equations where the same number is added to itself (e.g., 2 + 2, 6 + 6).

Using Doubles Method:
  1. Recognize the doubles fact within the problem
  2. Recall the doubles fact from memory
  3. Adjust for differences if needed (near doubles)
  4. Calculate the final answer
1 + 1 = 2
2 + 2 = 4
3 + 3 = 6
4 + 4 = 8
5 + 5 = 10
6 + 6 = 12
Key Rules:

• Memorize doubles facts from 1+1 to 10+10

• Use doubles to solve near doubles (e.g., 5+6 = 5+5+1)

• Recognize patterns in doubles facts

• Apply to subtraction as well

Tip 1: Practice doubles facts daily until they become automatic.
Tip 2: Use visual models like counters or drawings to reinforce doubles.
Tip 3: Connect doubles facts to real-life situations (eyes, hands, etc.).
Solution: Exercises 1 to 3
1 Basic Doubles
Exercise 1
4 + 4 = ?
Strategy:

Doubles Fact: Adding the same number to itself.

+
=
Step 1: Recognize the doubles fact

This is 4 + 4, a doubles fact

Step 2: Recall the doubles fact

4 + 4 = 8 (memorized fact)

Step 3: State the answer

4 + 4 = 8

4 + 4 = 8
Final answer:

4 + 4 = 8

Applied rules:

• Doubles Recognition: Identify when both addends are the same

• Memorization: Recall basic doubles facts

• Application: Use known facts to solve problems quickly

2 Near Doubles
Exercise 2
5 + 6 = ?
Strategy:

Near Doubles: Use known doubles to solve problems with consecutive numbers.

+
=
Step 1: Identify the near doubles pattern

5 + 6 are consecutive numbers (near doubles)

Step 2: Use the doubles fact

5 + 5 = 10 (known doubles fact)

Step 3: Adjust for the difference

6 is 1 more than 5, so add 1 to the doubles answer

Step 4: Calculate the final answer

5 + 6 = (5 + 5) + 1 = 10 + 1 = 11

5 + 6 = 11
Final answer:

5 + 6 = 11

Applied rules:

• Near Doubles Recognition: Identify consecutive addends

• Doubles Connection: Use known doubles fact as base

• Adjustment: Add or subtract difference from doubles answer

3 Advanced Doubles
Exercise 3
7 + 8 = ?
Strategy:

Near Doubles: Use known doubles fact 7 + 7 to solve 7 + 8.

Step 1: Recognize the near doubles pattern

7 + 8 are consecutive numbers

Step 2: Use the doubles fact

7 + 7 = 14 (known doubles fact)

Step 3: Adjust for the difference

8 is 1 more than 7, so add 1 to the doubles answer

Step 4: Calculate the final answer

7 + 8 = (7 + 7) + 1 = 14 + 1 = 15

7 + 8 = 15
Final answer:

7 + 8 = 15

Applied rules:

• Pattern Recognition: Identify consecutive addends

• Doubles Application: Use known fact as foundation

• Incremental Adjustment: Add difference to doubles result

Solution: Exercises 4 to 5
4 More Doubles Practice
Exercise 4
6 + 6 = ?
Strategy:

Doubles Fact: Adding the same number to itself.

Step 1: Recognize the doubles fact

This is 6 + 6, a doubles fact

Step 2: Recall the doubles fact

6 + 6 = 12 (memorized fact)

Step 3: State the answer

6 + 6 = 12

6 + 6 = 12
Final answer:

6 + 6 = 12

Applied rules:

• Doubles Recognition: Identify when both addends are the same

• Memorization: Recall basic doubles facts

• Application: Use known facts to solve problems quickly

5 Near Doubles Challenge
Exercise 5
9 + 10 = ?
Strategy:

Near Doubles: Use known doubles fact 9 + 9 to solve 9 + 10.

Step 1: Recognize the near doubles pattern

9 + 10 are consecutive numbers

Step 2: Use the doubles fact

9 + 9 = 18 (known doubles fact)

Step 3: Adjust for the difference

10 is 1 more than 9, so add 1 to the doubles answer

Step 4: Calculate the final answer

9 + 10 = (9 + 9) + 1 = 18 + 1 = 19

9 + 10 = 19
Final answer:

9 + 10 = 19

Applied rules:

• Pattern Recognition: Identify consecutive addends

• Doubles Application: Use known fact as foundation

• Incremental Adjustment: Add difference to doubles result

Questions & Answers

Question: Why do we need to learn doubles facts? They seem easy, but why are they important?

Answer: Great question! Doubles facts are super important because they're building blocks for more complex math:

Benefits of doubles facts:

  • They're fast and easy once memorized
  • They help with near doubles (like 6 + 7 = 6 + 6 + 1)
  • They build number sense and patterns
  • They're used in subtraction too (10 - 5 = ? because 5 + 5 = 10)

Think of doubles facts like secret shortcuts that make all addition faster and easier!

Question: My child understands doubles facts but struggles with near doubles. How can I help?

Answer: This is very common! Here are strategies to help your child with near doubles:

Teaching approaches:

  • Use visual models: Show 5 dots + 5 dots, then add 1 more dot to make 5 + 6
  • Connect to doubles: Say "We know 5 + 5 = 10, so 5 + 6 is just one more!"
  • Practice with manipulatives: Use blocks, counters, or fingers
  • Create stories: "If I have 4 + 4 cookies and get 1 more, I have 4 + 5"

The key is helping your child see the connection between doubles and near doubles.

Question: What if I forget a doubles fact? How can I figure it out?

Answer: If you forget a doubles fact, here are backup strategies:

Backup methods:

  • Count all: Count each number separately (e.g., 3 + 3: count 1,2,3 then 4,5,6)
  • Count on: Start with the first number and count up by the second (3 + 3: start at 3, count 4,5,6)
  • Use a smaller doubles fact: If you know 2 + 2 = 4, then 3 + 3 is 4 + 2 = 6
  • Use fingers or objects: Show the numbers with fingers or count physical objects

With practice, the doubles facts will become automatic, but these methods help while you're learning!