Complete Mental Math Strategies for Adding in Grade 1

Master mental math strategies for adding: number bonds, addition facts, and mental computation techniques through comprehensive explanations and visual learning aids.

Mental Math Strategies for Adding: Examples 1 to 3
1 Counting On Strategy for Addition
Adding Strategy 1
Counting On: Add by starting with the larger number and counting forward
Definition:

Counting On Strategy: Starting with the larger number and counting forward by the amount of the smaller number

Counting On Method:
  1. Identify the larger number (start number)
  2. Keep the larger number in your head
  3. Count forward by the smaller number
  4. Track each count with fingers or in your mind
Problem
5 + 3
Start with 5
5
Count 3 more
6, 7, 8
Answer
8
Step 1: Identify the larger number

Between 5 and 3, 5 is larger, so we start with 5

Step 2: Keep 5 in your head

Think "5" and hold it in your mind

Step 3: Count forward 3 times

Count: 6 (that's 1), 7 (that's 2), 8 (that's 3)

Counting On Strategy
🧠
Hold 5
5
➡️
Count 3 more
6, 7, 8
✅
Final Answer
5 + 3 = 8
💡
Strategy
Start big, count small
0 2 4 6 8 10 12 14 16
5
6
7
8
5 + 3 = 8 (counting on: 5 → 6, 7, 8)
5
1
1
1
5 + 3 = 8
Final answer:

5 + 3 = 8

Mental Math Tip:

Always start with the bigger number when counting on. It's faster and easier to count a small number forward than a large number!

2 Making Tens Strategy for Adding
Adding Strategy 2
Making Tens: Use 10 as a benchmark number to simplify addition
Definition:

Making Tens Strategy: Using the benchmark number 10 to simplify addition by breaking apart numbers strategically

Problem
8 + 4
Make 10
8 + 2 = 10
Remaining
4 = 2 + 2
Answer
10 + 2 = 12
Step 1: Identify what's needed to make 10

From 8, we need 2 more to make 10

Step 2: Break apart the second number

Split 4 into 2 and 2 (because 2 + 2 = 4)

Step 3: Complete the calculation

(8 + 2) + 2 = 10 + 2 = 12

Making Tens Strategy
🎯
Goal
Make 10
8️⃣
Start with 8
Need 2 more
🔄
Break 4
2 + 2
✅
Answer
10 + 2 = 12
8 + 4 = (8 + 2) + 2 = 10 + 2 = 12
8
2
2
8 + 4 = 12
Final answer:

8 + 4 = 12

Mental Math Tip:

Practice number bonds to 10 until they become automatic. Knowing pairs that make 10 (1+9, 2+8, 3+7, 4+6, 5+5) will make this strategy fast and effective!

3 Doubles Plus One Strategy for Adding
Adding Strategy 3
Doubles Plus One: Use known doubles facts to solve nearby problems
Definition:

Doubles Plus One Strategy: Using known doubles facts to solve problems where one number is one more than the other

Problem
6 + 7
Think
6 + 6 + 1
Doubles Fact
6 + 6 = 12
Add One
12 + 1 = 13
Step 1: Recognize the relationship

7 is one more than 6, so we can use 6 + 6 and add 1

Step 2: Recall the doubles fact

6 + 6 = 12 (this should be memorized)

Step 3: Add the extra one

12 + 1 = 13

Doubles Plus One Strategy
🎲
Doubles
6 + 6 = 12
➕
Plus One
12 + 1 = 13
🎯
Original
6 + 7 = 13
💡
Strategy
Use known facts
6 + 7 = 6 + 6 + 1 = 12 + 1 = 13
6
6
1
12
1
6 + 7 = 13
Final answer:

6 + 7 = 13

Mental Math Tip:

Memorize doubles facts (1+1, 2+2, 3+3, etc.) as they form the foundation for many other mental math strategies!

Mental Math Strategies for Adding: Complete Summary
Comprehensive Mental Math Guide for Adding
Key Definitions

Mental Math: Performing mathematical calculations in your head without writing anything down or using tools.

Number Bonds: Pairs of numbers that add up to a specific total, especially 10.

Strategies: Different approaches to solving math problems mentally.

Core Principles for Adding

• Use Benchmarks: Use 10 as a reference point since it's easy to work with

• Start Big: Begin with the larger number when adding

• Break Down: Split numbers into smaller, more manageable parts

Mental Math Strategies for Adding

1. Counting On: Start with the larger number and count forward

2. Making Tens: Use 10 as a benchmark for addition

3. Doubles Plus One: Use doubles facts to solve nearby problems

4. Doubles Minus One: Use doubles facts for problems where one number is one less

5. Making Five: Use 5 as a benchmark number for smaller additions

Practice Techniques

Flashcards: Practice basic facts daily

Number Talks: Discuss different ways to solve problems

Games: Use math games to make practice fun

Common Challenges

• Getting overwhelmed with larger numbers

• Forgetting steps in multi-step problems

• Mixing up addition and subtraction

Success Factors

• Regular practice with basic facts

• Understanding the "why" behind strategies

• Flexibility in choosing approaches

Mental Math Strategies for Adding:
Counting On
Start with larger number, count forward
Making Tens
Use 10 as benchmark number
Doubles Plus One
Use known facts for nearby problems
Doubles Minus One
Use known facts for nearby problems
Making Five
Use 5 as benchmark number
Breaking Apart
Split numbers into manageable parts
Daily Mental Math Routine:

• Spend 5-10 minutes daily practicing mental math

• Start with easy problems and gradually increase difficulty

• Use multiple strategies to solve the same problem

Building Speed:

• Focus on accuracy first, then work on speed

• Practice number bonds until they become automatic

• Use visual imagery to help with calculations

Counting On
Start with larger number, count forward
Making Tens
Use 10 as benchmark number
Doubles Plus One
Use doubles facts for nearby problems
Doubles Minus One
Use doubles facts for nearby problems
Tip 1: Use your fingers when starting out, but gradually move to mental visualization.
Tip 2: Practice "number talks" - explain your thinking out loud.
Tip 3: Use real-life situations: "If I have 6 cookies and get 2 more, how many do I have?"
Tip 4: Check your mental math by using a different strategy.
Tip 5: Celebrate progress - mental math skills develop over time!
\(a + b = \text{mental calculation}\)
Where mental calculation uses strategies like counting on, making tens, or doubles facts
Mental Math Strategies for Adding: Examples 4 to 5
4 Doubles Minus One Strategy for Adding
Adding Strategy 4
Doubles Minus One: Use known doubles facts for nearby problems
Definition:

Doubles Minus One Strategy: Using known doubles facts to solve problems where one number is one less than the other

Problem
7 + 6
Think
7 + 7 - 1
Doubles Fact
7 + 7 = 14
Subtract One
14 - 1 = 13
Step 1: Recognize the relationship

6 is one less than 7, so we can use 7 + 7 and subtract 1

Step 2: Recall the doubles fact

7 + 7 = 14 (this should be memorized)

Step 3: Subtract the extra one

14 - 1 = 13

Doubles Minus One Strategy
🎲
Doubles
7 + 7 = 14
➖
Minus One
14 - 1 = 13
🎯
Original
7 + 6 = 13
💡
Strategy
Use known facts
7 + 6 = 7 + 7 - 1 = 14 - 1 = 13
7
7
14
7 + 6 = 13
Final answer:

7 + 6 = 13

Mental Math Tip:

This strategy works well when the two numbers are consecutive (one after the other) like 5+6, 7+8, 9+10!

5 Breaking Apart Strategy for Adding
Adding Strategy 5
Breaking Apart: Split numbers into smaller, more manageable parts
Definition:

Breaking Apart Strategy: Separating numbers into smaller parts to make addition easier

Problem
9 + 4
Break 9
9 = 5 + 4
Rewrite
5 + 4 + 4
Calculate
5 + 8 = 13
Step 1: Identify which number to break apart

We can break 9 into 5 + 4 to make the addition easier

Step 2: Rewrite the problem

Now we have 5 + 4 + 4

Step 3: Complete the calculation

5 + 4 + 4 = 5 + 8 = 13

Breaking Apart Strategy
🔄
Break 9
5 + 4
➕
Add 4
5 + 4 + 4
🎯
Simplify
5 + 8 = 13
✅
Answer
9 + 4 = 13
9 + 4 = (5 + 4) + 4 = 5 + 8 = 13
5
4
4
9
4
9 + 4 = 13
Final answer:

9 + 4 = 13

Mental Math Tip:

Look for ways to break apart numbers that make the problem easier. Sometimes breaking apart the larger number works better than the smaller one!

Questions & Answers

Question: My child seems to struggle with choosing which mental math strategy to use. How can I help them select the right one?

Answer: Here's how to help your child choose the right strategy:

  • Look at the numbers: If one number is close to 10, try making tens; if they're the same, use doubles
  • Practice decision-making: Ask "Which would be faster?" for different approaches
  • Use visual cues: Point out when numbers make convenient combinations
  • Encourage experimentation: It's okay to try different strategies

Start with the systematic approaches (counting on, making tens) and gradually introduce flexibility as they become more comfortable.

Question: How can I teach my students to be flexible with different mental math strategies for addition?

Answer: Build flexibility through varied practice:

  • Compare strategies: Solve the same problem multiple ways
  • Discuss efficiency: Talk about which strategy was fastest for each problem
  • Pattern recognition: Help students notice when certain numbers suggest specific strategies
  • Strategy choice activities: Present problems and ask which strategy they'd choose

Create anchor charts showing when to use each strategy. Flexibility develops with exposure to different problem types!

Question: Mental math is hard and I get confused. Should I just write everything down?

Answer: Mental math takes practice, and that's okay! Here's how to build confidence:

  • Start small: Practice with numbers 1-5 first
  • Use your fingers: It's okay to use fingers while learning
  • Take your time: Accuracy is more important than speed
  • Practice regularly: Even 5 minutes a day helps build skills

Mental math skills develop gradually. Writing things down is fine while you're learning - mental math will come with time and practice!