Steps to add using the make a ten strategy

➕ Understanding the Make a Ten Strategy

The 'make a ten' strategy is a mental math technique used to simplify addition problems, especially when adding numbers that are close to ten. It involves breaking down one of the addends to create a ten with the other addend, making the addition easier to perform.

📜 History and Background

The 'make a ten' strategy is rooted in number sense and place value understanding. It's a foundational concept taught in early elementary grades to help students develop fluency with addition and subtraction. By manipulating numbers to create tens, students gain a deeper understanding of how numbers relate to each other.

🔑 Key Principles of the Make a Ten Strategy

• 🔢 Decomposition:
Breaking down one of the numbers into smaller parts.
• 🎯 Targeting Ten:
Identifying how much is needed to reach ten from the other number.
• ➕ Addition:
Combining the parts to form ten and then adding the remaining amount.

📝 Steps to Add Using the Make a Ten Strategy

• 🔍 Identify Numbers Close to Ten: Look for numbers that are easy to add to ten, like 8 or 9.
• 🧩 Decompose One Addend: Break down one of the addends so that one part will make ten with the other addend.
• 🤝 Make a Ten: Combine the part of the decomposed number with the other addend to make ten.
• ➕ Add the Remainder: Add the remaining part of the decomposed number to ten.

💡 Real-World Examples

Example 1: 8 + 5

1. Identify: 8 is close to 10.
2. Decompose: Break 5 into 2 + 3 (because 8 + 2 = 10).
3. Make a Ten: 8 + 2 = 10.
4. Add the Remainder: 10 + 3 = 13.

Example 2: 9 + 6

1. Identify: 9 is close to 10.
2. Decompose: Break 6 into 1 + 5 (because 9 + 1 = 10).
3. Make a Ten: 9 + 1 = 10.
4. Add the Remainder: 10 + 5 = 15.

➕ Practice Problems

• ❓ Problem 1: 7 + 5 = ?
• ❓ Problem 2: 6 + 8 = ?
• ❓ Problem 3: 9 + 4 = ?
• ❓ Problem 4: 8 + 7 = ?
• ❓ Problem 5: 5 + 9 = ?

✅ Solutions to Practice Problems

• 💡 Solution 1: 7 + 5 = 7 + (3 + 2) = (7 + 3) + 2 = 10 + 2 = 12
• 💡 Solution 2: 6 + 8 = 6 + (4 + 4) = (6 + 4) + 4 = 10 + 4 = 14
• 💡 Solution 3: 9 + 4 = 9 + (1 + 3) = (9 + 1) + 3 = 10 + 3 = 13
• 💡 Solution 4: 8 + 7 = 8 + (2 + 5) = (8 + 2) + 5 = 10 + 5 = 15
• 💡 Solution 5: 5 + 9 = 5 + (5 + 4) = (5 + 5) + 4 = 10 + 4 = 14

🧠 Conclusion

The 'make a ten' strategy is a powerful tool for developing number sense and mental math skills. By understanding how to decompose numbers and create tens, students can simplify addition problems and build a stronger foundation for more advanced mathematical concepts. Practice is key to mastering this strategy, so encourage students to use it regularly.