Solved problems using the make a ten strategy for addition

➕ Understanding the 'Make a Ten' Strategy

The 'Make a Ten' strategy is a mental math technique used to simplify addition, especially when one of the numbers is close to 10. Instead of adding directly, you break down one number to help the other reach 10, making the addition easier. This leverages our natural comfort with the number 10.

📜 A Brief History

The 'Make a Ten' strategy isn't tied to a specific historical figure, but it's rooted in number sense and place value understanding, concepts that have been part of mathematical education for centuries. Its origins lie in the practical need to simplify calculations before the advent of calculators.

🔑 Key Principles of Making a Ten

• 🎯 Identify the Number Close to 10: Look for a number that is easy to 'make' into a 10.
• 🔨 Break Down the Other Number: Decompose the second number into two parts, one of which will help the first number reach 10.
• 🤝 Form the 10: Add the appropriate part to the first number to make 10.
• ➕ Add the Remainder: Add the remaining part of the second number to 10.

🧮 Practical Examples

Let's illustrate with a few examples:

Example 1: 8 + 6

1. 🎯 8 is close to 10.
2. 🔨 Break down 6 into 2 + 4 (because 8 + 2 = 10).
3. 🤝 8 + 2 = 10.
4. ➕ 10 + 4 = 14. Therefore, 8 + 6 = 14.

Example 2: 7 + 5

1. 🎯 7 is close to 10.
2. 🔨 Break down 5 into 3 + 2 (because 7 + 3 = 10).
3. 🤝 7 + 3 = 10.
4. ➕ 10 + 2 = 12. Therefore, 7 + 5 = 12.

Example 3: 9 + 4

1. 🎯 9 is close to 10.
2. 🔨 Break down 4 into 1 + 3 (because 9 + 1 = 10).
3. 🤝 9 + 1 = 10.
4. ➕ 10 + 3 = 13. Therefore, 9 + 4 = 13.

💡 Tips and Tricks

• 🔢 Practice Regularly: The more you practice, the faster you'll become.
• ✍️ Write It Down: Initially, writing down the steps can help solidify your understanding.
• 🎲 Use Manipulatives: Use objects like beads or blocks to visually represent the numbers.

📝 Practice Quiz

Solve these problems using the 'Make a Ten' strategy:

1. 6 + 8
2. 5 + 7
3. 9 + 2
4. 8 + 4
5. 7 + 6
6. 6 + 5
7. 9 + 3

✅ Conclusion

The 'Make a Ten' strategy is a powerful tool for simplifying addition. By understanding the principles and practicing regularly, you can improve your mental math skills and approach addition problems with greater confidence.