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📚 Making Ten: A Closer Look
The 'making ten' strategy is all about breaking down numbers to create a ten, which is easier to work with. Think of it as building a friendly base for addition! For example, when adding $8 + 5$, you can break down the 5 into $2 + 3$. Then, add the 2 to the 8 to make 10. Finally, add the remaining 3 to the 10, giving you 13. It’s all about creating that easy-to-add ten!
- 💡Concept: Decompose numbers to form a ten.
- 🧮Example: $8 + 5 = 8 + (2 + 3) = (8 + 2) + 3 = 10 + 3 = 13$
- ➕Best Used When: One addend is close to 10 (6, 7, 8, or 9).
➕ Counting On: Understanding the Basics
Counting on is a more straightforward approach. You start with the larger number and simply count up the smaller number. For example, when adding $4 + 6$, you start with 6 and count up 4 more numbers: 7, 8, 9, 10. This method is simple to grasp and requires less number manipulation than making ten.
- 🌱Concept: Start with one number and count upwards.
- ✏️Example: $4 + 6$: Start at 6, then count 7, 8, 9, 10.
- 🔢Best Used When: Adding small numbers or when the difference between the numbers is small.
📊 Making Ten vs. Counting On: A Detailed Comparison
| Feature | Making Ten | Counting On |
|---|---|---|
| Definition | Breaking down numbers to create a ten. | Starting with one number and counting up. |
| Complexity | Requires more steps and understanding of number decomposition. | More direct and easier to understand initially. |
| Best Use Case | When one number is close to 10. | When adding small numbers or when the difference is small. |
| Efficiency | Can be faster with practice for larger numbers near 10. | Slower with larger numbers or bigger differences. |
| Mental Math | Develops number sense and flexibility. | Reinforces sequential counting skills. |
💡 Key Takeaways
- 🧠Number Sense: Making ten enhances number sense and decomposition skills.
- ⏱️Efficiency: Counting on is quick for small numbers, while making ten can be more efficient for numbers close to 10.
- ➕Flexibility: Both strategies are valuable and can be used depending on the specific problem and personal preference.
- 🎯Adaptability: Encourage students to try both and see which clicks best for them.
- 🌟Mastery: Mastery of both strategies offers greater flexibility and problem-solving abilities.
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