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Spacecraft Algebraic Patterns

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Spacecraft Algebraic Patterns

🚀 Part 1: Pattern Recognition

WALT: We are learning to recognise and write algebraic rules for patterns in spacecraft designs.

1. A rocket designer adds panels in this pattern: 5, 8, 11, 14, 17...

What is the common difference? ______

2. The algebraic rule for the pattern above is:

3n + 2

3n + 5

5n + 3

n + 3

3. A spacecraft has bolts following the pattern: 4, 8, 12, 16, 20...

The algebraic rule is: b = ______

If there are 7 panels, how many bolts? ______

4. Which patterns follow the rule 2n + 3? (Tick all that apply)

5, 7, 9, 11, 13...

3, 6, 9, 12, 15...

5, 7, 9, 11, 13...

2, 5, 8, 11, 14...

🛸 Part 2: Design Your Own Spacecraft Pattern

5. Create your own spacecraft component pattern:

Step 1: Choose a component (windows, panels, bolts, etc.): _______________

Step 2: Write your pattern sequence (at least 5 terms):

_____, _____, _____, _____, _____

Step 3: What is the common difference? ______

Step 4: Write your algebraic rule: _______________

6. Test your rule:

If n = 6, your component count = ______

If n = 10, your component count = ______

7. Explain why patterns are useful for spacecraft designers:

⭐ Part 3: Challenge Questions

8. Extension: A space station has sections following the pattern 15, 12, 9, 6...

This is a decreasing pattern. The algebraic rule is: _______________

9. Draw and label your spacecraft design below. Show how your pattern from Part 2 applies:
10. Real-world connection: If each bolt costs $2 and you use the pattern b = 4n, what is the cost for 8 panels?

Success Criteria - I can:

□ Identify the common difference in a linear pattern

□ Write an algebraic expression for a pattern (e.g., 3n + 1)

□ Use the expression to predict values in a pattern

□ Create my own algebraic rule for a spacecraft design

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