Advanced Number Pattern Exploration

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Mathematical patterns and sequences illustration

🔍 Part 1: Pattern Detective Challenge

Instructions: Work with your partner to solve these advanced number patterns. Show your working and explain your thinking!

1. Find the next three numbers in this doubling pattern:

3, 6, 12, 24, _____, _____, _____

2. This pattern uses mixed operations. What are the next two numbers?

2, 6, 18, 54, _____, _____

Pattern rule: _________________________________

3. Complete this division pattern and explain the rule:

1000, 200, 40, 8, _____, _____

4. Challenge pattern - find the rule!

1, 4, 9, 16, 25, _____, _____

Hint: Think about what operation creates these numbers from 1, 2, 3, 4, 5...

📊 Part 2: Create Your Own Patterns

5. Design a multiplication pattern starting with 4:

Your pattern: 4, _____, _____, _____, _____, _____

Rule explanation: ________________________________

6. Create a pattern that uses TWO different operations (like +5, then ×2):

Your pattern: _____, _____, _____, _____, _____, _____

Operations used: _________________________________

7. Flow Chart Challenge: Create a flow chart for this pattern: 5, 15, 45, 135

8. Write a simple formula for the pattern 7, 14, 21, 28, 35...

If the position number is n, then the pattern number = _______

Test your formula: Position 6 should give _____ (check: 6 × 7 = 42)

🎯 Part 3: Extension Thinking

9. Real-world pattern: A bacteria culture doubles every hour. If you start with 50 bacteria, how many will there be after 5 hours?

Hour 0: 50 Hour 1: _____ Hour 2: _____ Hour 3: _____ Hour 4: _____ Hour 5: _____

10. Create the most challenging pattern you can think of and challenge another pair to solve it:

Your super-challenging pattern: _____, _____, _____, _____, _____, ?

The rule (keep this secret until they guess!): ________________________________

Advanced Number Pattern Exploration

Advanced Number Pattern Exploration

🔍 Part 1: Pattern Detective Challenge

📊 Part 2: Create Your Own Patterns

🎯 Part 3: Extension Thinking

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