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Number Pattern Exploration

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Number Pattern Exploration

Number Pattern Exploration

Number patterns and sequences illustration

🔢 Part 1: Number Patterns Recognition

1. Look at this number pattern: 3, 6, 9, 12, 15, _____, _____

What are the next two numbers in the pattern?

2. Circle the rule that describes the pattern above:

Add 3 each time

Add 6 each time

Multiply by 2 each time

Add 9 each time

3. Complete this growing pattern: 5, 10, 15, 20, _____, _____, _____
4. Which of these are examples of number patterns? Check all that apply:

2, 4, 6, 8, 10

7, 3, 9, 1, 5

100, 90, 80, 70, 60

1, 4, 9, 16, 25

📊 Part 2: Creating Your Own Patterns

5. Create a number pattern that starts with 4 and adds 7 each time. Write the first 6 numbers:
6. Draw a visual pattern using shapes or symbols that repeats every 3 items:
7. Create a decreasing number pattern starting from 50. Write your pattern and explain the rule:

Pattern: ________________________________________________

Rule: __________________________________________________

🧮 Part 3: Place Value and Number Structure

8. Order these whole numbers from smallest to largest:

4,567 987 10,234 3,456 8,901

9. Fill in the missing numbers in this counting pattern:

2,340 2,350 _______ _______ 2,380 _______ 2,400

10. Circle the number that is 1,000 more than 6,789:

6,799

7,789

6,889

16,789

🔍 Part 4: Pattern Rules and Mathematical Language

11. Match each pattern with its correct rule:
1. 8, 16, 24, 32, 40
2. 100, 95, 90, 85, 80
3. 2, 6, 18, 54, 162
4. 1, 4, 7, 10, 13
A. Subtract 5 each time
B. Add 8 each time
C. Multiply by 3 each time
D. Add 3 each time
12. Look at this pattern: 1, 1, 2, 3, 5, 8, 13, _____, _____

This is a special pattern called the Fibonacci sequence. Can you work out the rule and find the next two numbers?

💭 Part 5: Reflection and Problem Solving

13. Explain in your own words what makes a good number pattern:
14. If a pattern starts at 7 and the rule is "multiply by 2, then subtract 1", what would the first 5 terms be?
15. Challenge: Create a pattern using both addition and multiplication. Write your pattern and explain how it works:

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