🔍 Part 1: Pattern Detective

1. Decode this number sequence to find the hidden message. Each number represents a letter position in the alphabet (A=1, B=2, C=3, etc.):

Code: 8, 5, 12, 12, 15

Hidden Message: _____ _____ _____ _____ _____

2. This code uses the pattern "multiply by 2, then add 1". If A=1, what letter does the number 15 represent?

G

H

I

J

3. Look at this pattern: 3, 6, 12, 24, 48... What mathematical rule creates this sequence?

4. Using the rule from question 3, what would be the next two numbers in the sequence?

Next numbers: _______ and _______

🎨 Part 2: Create Your Own Mathematical Code

5. Design your own coding rule using one of these mathematical operations:

Add a constant number

Multiply by a constant

Use position in sequence (1st, 2nd, 3rd...)

Combine two operations

6. Write your mathematical rule here:

7. Use your rule to encode this word: MATH

8. Create a coded message for a classmate using your rule. Write the numbers below:

9. What strategies did you use to identify the mathematical patterns in the codes?

10. Which type of mathematical rule would make the strongest (hardest to break) code?

Simple addition

Multiplication

Combined operations

Patterns that change

11. Challenge: Trade coded messages with a partner. Can you break their code? Explain your process: