Algebraic Pattern Rules Worksheet
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Algebraic Pattern Rules Worksheet
📚 Part 1: Understanding Pattern Rules
WALT: We are learning to write algebraic rules for number patterns
Success Criteria: I can find the rule and write it using algebra
Pattern: 3, 5, 7, 9, 11...
Position (n): 1, 2, 3, 4, 5...
Step 1: Find the difference between terms: +2
Step 2: The rule starts with 2n
Step 3: Check: When n=1, 2×1=2, but we need 3, so add 1
Step 4: Rule = 2n + 1
10th term = ___________
a) The difference between terms is: ___________
b) The algebraic rule is: ___________
c) The 8th term would be: ___________
Which rule matches this pattern?
✏️ Part 2: Finding Your Own Rules
My rule: ___________
The 12th term: ___________
My rule: ___________
The 15th term: ___________
a) Write the algebraic rule: ___________
b) Use your rule to find the 20th term: ___________
c) Which position gives the term 101? ___________
🧠 Part 3: Pattern Reasoning
a) Write the first 5 terms: _______, _______, _______, _______, _______
b) Explain in your own words what this rule means:
Student A: 4n + 2
Student B: 2(2n + 1)
Are both rules correct? Explain your reasoning:
My pattern: _______, _______, _______, _______, _______, _______
Explain how you know your pattern is correct:
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