Making 10 to Add 9 for Grade 1 Students

Master making 10 to add 9: comprehensive exercises with step-by-step solutions, visual aids, and memorization techniques.

Making 10 to Add 9: Exercises 1 to 3
1 Making 10 with 9 + 2
Exercise 1
Solve: 9 + 2 = ?
Use the making 10 strategy: Break 2 into 1 + 1 to make 10 with 9.
Visual: 🟡🟡🟡🟡🟡🟡🟡🟡🟡 + 🟡 = 🟡🟡🟡🟡🟡🟡🟡🟡🟡🟡 + 🟡
Definition:

Making 10 Strategy: A mental math technique where you break apart one number to make 10 with the other number, then add the remainder.

Making 10 Solution Steps:
  1. Identify the first number: Look at 9
  2. Determine what's needed to make 10: 9 needs 1 more to make 10
  3. Break apart the second number: Split 2 into 1 and 1
  4. Make 10: Add 9 + 1 = 10
  5. Add the remainder: 10 + 1 = 11
Problem
9 + 2
Break 2
1 + 1
Make 10
9 + 1 = 10
Step 1: Identify how many more 9 needs to make 10

9 needs 1 more to make 10 (9 + 1 = 10)

Step 2: Break apart 2

Split 2 into 1 and 1 (2 = 1 + 1)

Step 3: Make 10

Add 9 + 1 = 10

Step 4: Add the remainder

10 + 1 = 11

Step 5: State the final answer

9 + 2 = 11

9 + 2 = 11
Final answer:

9 + 2 = 11

Applied rules:

• Number Bonds: Know that 9 + 1 = 10

• Decomposition: Break 2 into 1 + 1

• Associative Property: Rearrange for easier calculation

2 Making 10 with 9 + 4
Exercise 2
Solve: 9 + 4 = ?
Use the making 10 strategy: Break 4 into 1 + 3 to make 10 with 9.
Visual: 🟡🟡🟡🟡🟡🟡🟡🟡🟡 + 🟡 = 🟡🟡🟡🟡🟡🟡🟡🟡🟡🟡 + 🟡🟡🟡
Definition:

Making 10 with 9: The strategy works best when adding 9 to another number, since 9 is only 1 away from 10.

Problem
9 + 4
Break 4
1 + 3
Make 10
9 + 1 = 10
Step 1: Determine what 9 needs to make 10

9 needs 1 more to make 10 (9 + 1 = 10)

Step 2: Break apart 4

Split 4 into 1 and 3 (4 = 1 + 3)

Step 3: Create the 10

Add 9 + 1 = 10

Step 4: Add the remaining amount

10 + 3 = 13

Step 5: Provide the answer

9 + 4 = 13

9 + 4 = 13
Final answer:

9 + 4 = 13

Applied rules:

• Number Bonds: Know that 9 + 1 = 10

• Decomposition: Break 4 into 1 + 3

• Strategic Addition: Use 10 as a benchmark number

3 Practice with 9 + 5
Exercise 3
Solve: 9 + 5 = ?
Use the making 10 strategy: Break 5 into 1 + 4 to make 10 with 9.
Visual: 🟡🟡🟡🟡🟡🟡🟡🟡🟡 + 🟡 = 🟡🟡🟡🟡🟡🟡🟡🟡🟡🟡 + 🟡🟡🟡🟡
Definition:

Number Bonds: Pairs of numbers that combine to make a specific total (in this case, to make 10).

Problem
9 + 5
Break 5
1 + 4
Make 10
9 + 1 = 10
Step 1: Identify how many 9 needs to make 10

9 needs 1 more to make 10 (9 + 1 = 10)

Step 2: Break apart 5

Split 5 into 1 and 4 (5 = 1 + 4)

Step 3: Form the 10

Add 9 + 1 = 10

Step 4: Add the leftover amount

10 + 4 = 14

Step 5: Give the final result

9 + 5 = 14

9 + 5 = 14
Final answer:

9 + 5 = 14

Applied rules:

• Number Bond Knowledge: Know that 9 + 1 = 10

• Subtraction for Remainder: Calculate what's left after making 10

• Place Value Understanding: 10 is a base unit for easier addition

Making 10 to Add 9: Core Concepts
9 + b = (9 + 1) + (b - 1) = 10 + (b - 1)
Making 10 with 9 Formula
Making 10 with 9
9 + b
Break b into 1 + (b-1) where 9 + 1 = 10
Number Bonds
9 + 1 = 10
Always use 1 from the other number
Strategy
10 + (b - 1)
Where b-1 is the remainder
Key definitions:

Making 10 Strategy: Breaking apart one number to create 10 with the other number

Adding 9: Since 9 is 1 away from 10, always take 1 from the other number

Decomposition: Breaking numbers into smaller, more manageable parts

Complete making 10 with 9 process:
  1. Identify the first number: Look at 9
  2. Determine what's needed: 9 always needs 1 more to make 10
  3. Break apart the second number: Split it into 1 and the remainder
  4. Make 10: Add 9 + 1 = 10
  5. Add remainder: Add the leftover amount to 10
  6. State answer: Provide the final sum
Tip 1: When adding 9, always take 1 from the other number to make 10.
Tip 2: 9 + anything = 10 + (that number - 1).
Tip 3: Use visual aids like ten frames to see the relationships.
Tip 4: Practice breaking apart numbers to reinforce the concept.
Common errors: Taking the wrong amount from the second number, forgetting to add the remainder to 10.
Success factors: Knowing that 9 + 1 = 10, practicing decomposition, visualizing the process.
Making 10 with 9 rules:

• 9 + 2 = 10 + 1 = 11 • 9 + 3 = 10 + 2 = 12 • 9 + 4 = 10 + 3 = 13

• 9 + 5 = 10 + 4 = 14 • 9 + 6 = 10 + 5 = 15 • 9 + 7 = 10 + 6 = 16

Making 10 to Add 9 Guide
📚
Making 10 with 9

Always take 1 from the other number

9 + b = 10 + (b-1)

Example: 9 + 5 = 10 + 4 = 14

Pattern Recognition

9 + 2 = 11 (same digits)

9 + 3 = 12 (digits increased by 1)

9 + 4 = 13 (digits increased by 1)

Making 10 with 9 Process
1
Identify
2
Take 1
3
Make 10
4
Add
Making 10 Benefits

Makes addition easier

Built on number sense

Uses 10 as benchmark

Practice Making 10 with 9! Always Take 1 from the Other Number!
Advanced Making 10 with 9: Exercises 4 to 5
4 Making 10 with 9 + 6
Exercise 4
Solve: 9 + 6 = ?
Use the making 10 strategy: Break 6 into 1 + 5 to make 10 with 9.
Visual: ⚪⚪⚪⚪⚪⚪⚪⚪⚪ + ⚪ = ⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪ + ⚪⚪⚪⚪⚪
Definition:

Making 10 with 9: The strategy works with any number added to 9 by taking 1 from the other number.

Problem
9 + 6
Break 6
1 + 5
Make 10
9 + 1 = 10
Step 1: Identify how many 9 needs to make 10

9 needs 1 more to make 10 (9 + 1 = 10)

Step 2: Break apart 6

Split 6 into 1 and 5 (6 = 1 + 5)

Step 3: Create the 10

Add 9 + 1 = 10

Step 4: Add the remaining amount

10 + 5 = 15

Step 5: State the final answer

9 + 6 = 15

9 + 6 = 15
Final answer:

9 + 6 = 15

Applied rules:

• Number Bonds: Know that 9 + 1 = 10

• Decomposition: Break 6 into 1 + 5

• Strategic Addition: Use 10 as a benchmark number

5 Word Problem with Making 10
Exercise 5
Sarah has 9 stickers. Her friend gives her 7 more stickers. How many stickers does Sarah have now? Use the making 10 strategy.
Visual: 📝📝📝📝📝📝📝📝📝 + 📝 = 📝📝📝📝📝📝📝📝📝📝 + 📝📝📝📝
Definition:

Real-Life Making 10: Applying the making 10 strategy to word problems and practical situations.

Problem
9 + 7
Break 7
1 + 6
Make 10
9 + 1 = 10
Step 1: Translate the word problem

"Sarah has 9 stickers and gets 7 more" means 9 + 7 = ?

Step 2: Identify how many 9 needs to make 10

9 needs 1 more to make 10 (9 + 1 = 10)

Step 3: Break apart 7

Split 7 into 1 and 6 (7 = 1 + 6)

Step 4: Form the 10

Add 9 + 1 = 10

Step 5: Add the remainder

10 + 6 = 16

Step 6: Answer in context

Sarah has 16 stickers now

Sarah has 16 stickers now.
Final answer:

Sarah has 16 stickers now.

Applied rules:

• Problem Translation: Convert words to mathematical expressions

• Strategy Application: Use making 10 in real contexts

• Contextual Understanding: Relate math back to the situation

Complete Summary: Making 10 to Add 9 Mastery
9 + b = 10 + (b - 1)
Making 10 with 9 Formula
Key definitions:

Making 10 Strategy: Breaking apart one number to create 10 with the other number

Adding 9: Since 9 is 1 away from 10, always take 1 from the other number

Decomposition: Breaking numbers into smaller, more manageable parts

Strategic Addition: Using 10 as a benchmark for easier calculation

Complete making 10 with 9 process:
  1. Identify the first number: Look at 9
  2. Determine what's needed: 9 always needs 1 more to make 10
  3. Break apart the second number: Split it into 1 and the remainder
  4. Make 10: Add 9 + 1 = 10
  5. Add remainder: Add the leftover amount to 10
  6. State answer: Provide the final sum
Tip 1: When adding 9, always take 1 from the other number to make 10.
Tip 2: 9 + anything = 10 + (that number - 1).
Tip 3: Use visual aids like ten frames to see the relationships.
Tip 4: Practice breaking apart numbers to reinforce the concept.
Common errors: Taking the wrong amount from the second number, forgetting to add the remainder to 10.
Success factors: Knowing that 9 + 1 = 10, practicing decomposition, visualizing the process.
Making 10 with 9 rules:

• 9 + 2 = 10 + 1 = 11 • 9 + 3 = 10 + 2 = 12 • 9 + 4 = 10 + 3 = 13

• 9 + 5 = 10 + 4 = 14 • 9 + 6 = 10 + 5 = 15 • 9 + 7 = 10 + 6 = 16

Making 10 to Add 9 Mastery
🎯
Making 10 with 9

Always take 1 from the other number

9 + b = 10 + (b-1)

Example: 9 + 5 = 10 + 4 = 14

Pattern Recognition

9 + 2 = 11 (same digits)

9 + 3 = 12 (digits increased by 1)

9 + 4 = 13 (digits increased by 1)

Making 10 with 9 Process
1
Identify
2
Take 1
3
Make 10
4
Add
Strategy Success

Master number bonds

Practice decomposition

Visualize the process

Apply to word problems

Master Making 10 with 9! Always Take 1 from the Other Number!

Questions & Answers

Question: Why is the making 10 strategy particularly useful when adding 9?

Answer: The making 10 strategy is especially effective with 9 because:

  • Only 1 away from 10: 9 needs just 1 more to make 10, so it's always easy to take 1 from the other number
  • Predictable pattern: 9 + b = 10 + (b-1), which creates a clear pattern for students
  • Simple decomposition: Only need to break apart 1 from the other number, not complex splitting
  • Easy mental math: Once students know 10 + something, they can easily add to that

This makes addition with 9 much simpler and more reliable than counting on from 9.

The strategy builds confidence and fluency with 9 additions specifically.

Question: How do I teach students the pattern when adding 9?

Answer: The pattern with adding 9 is very consistent:

  • 9 + 2 = 11: The sum is 1 more than the second number
  • 9 + 3 = 12: The sum is 1 more than the second number
  • 9 + 4 = 13: The sum is 1 more than the second number
  • General rule: 9 + b = (b+1) more efficiently calculated as 10 + (b-1)

Show students that 9 + something is like adding 10 to that number and then subtracting 1. This creates a reliable pattern they can count on.

Practice with multiple examples to help them recognize and internalize this pattern.

Question: What activities help students master making 10 when adding 9?

Answer: Effective activities for making 10 with 9 include:

  • 9 + ? flashcards: Focus specifically on 9 addition facts
  • Pattern recognition games: Have students identify the pattern (sum is 1 more than second number)
  • Ten frame activities: Show 9 dots filled, then add more to see the making 10 process
  • Partner activities: Students take turns giving each other 9 + ? problems
  • Real-life applications: Use word problems that naturally involve adding 9

Incorporate games that make practice fun, like "Race to 10" when adding 9. Regular, short practice sessions are more effective than long, infrequent ones.

Use multiple representations - concrete objects, visual models, and abstract equations - to build strong conceptual understanding.