3.OA.9: Identifying Arithmetic Patterns

Challenge Worksheet
I can identify arithmetic patterns and explain them using properties of operations.

Problem 1

Create your own arithmetic pattern with a rule of +13. Explain why this pattern works and give 8 terms.

Problem 2

Analyze these two patterns: A) 2, 5, 8, 11... B) 3, 6, 12, 24... Compare their rules and predict the 10th term of each.

Problem 3

Investigate: Can you create a pattern where each term is found by adding AND multiplying? Show your example.

Problem 4

Design a real-world situation that follows the pattern 25, 50, 75, 100... Explain the context and continue the pattern.

Problem 5

Compare these patterns: 4, 8, 12, 16... and 4, 8, 16, 32... How are they similar and different?

Problem 6

Create a decreasing pattern that starts at 200 and has a rule of -15. Explain when the pattern reaches zero.

Problem 7

Investigate this pattern: 1, 1, 2, 3, 5, 8, 13... What's special about it? Find the next three terms.

Problem 8

Design a pattern using the multiplication table for 7. Explain how multiplication creates arithmetic patterns.

Problem 9

Analyze: If a pattern starts at 6 and increases by 9 each time, what will the 20th term be? Show your method.

Problem 10

Create a word problem where the solution involves finding a pattern. Solve it and explain the pattern's importance.