📚 What are Repeating Patterns?
Repeating patterns are sequences where elements repeat in a predictable order. Think of it like a dance where the steps keep coming back in the same sequence!
- 🔄 Definition: A pattern that has a core sequence that repeats.
- 🎨 Example: Red, Blue, Red, Blue, Red, Blue... The core sequence is "Red, Blue."
- 🎵 Real-World Application: The pattern of notes in a song's chorus.
🌱 What are Growing Patterns?
Growing patterns are sequences where the elements change and increase (or sometimes decrease) in a predictable way. Imagine a plant growing taller each day!
- 📈 Definition: A pattern that changes according to a rule, usually increasing or decreasing.
- 🔢 Example: 1, 3, 5, 7, 9... Each number increases by 2.
- 🧱 Real-World Application: Stacking blocks to make a tower taller and taller.
📊 Repeating vs. Growing Patterns: A Side-by-Side Comparison
| Feature |
Repeating Patterns |
Growing Patterns |
| Definition |
A sequence with a core that repeats. |
A sequence that changes and increases (or decreases). |
| Core |
Has a repeating core. |
Does not have a repeating core. |
| Change |
Elements stay the same within the repeating core. |
Elements change according to a rule. |
| Examples |
ABC, ABC, ABC... or Square, Circle, Square, Circle... |
2, 4, 6, 8... or 1, 4, 9, 16... |
| Rule |
The rule is to repeat the core sequence. |
The rule defines how the pattern changes (e.g., add 2, multiply by 3). |
💡 Key Takeaways
- 🔍 Repeating patterns have a core sequence that repeats without change.
- 🌱 Growing patterns change according to a specific rule, increasing or decreasing.
- ➕ Understanding both types of patterns helps build a strong foundation in math and problem-solving!