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Learning Goal

Part of: Generate and analyze patterns1 of 1 cluster items

Generate a number or shape pattern that follows a given rule

4.OA.C.5

**4.OA.C.5**: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

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4.OA.C.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

What you'll learn

  1. Generate a number sequence given a starting number and a rule (e.g., "start at 1, add 3" produces 1, 4, 7, 10, 13, ...)
  2. Extend a shape pattern by identifying the repeating unit and continuing it
  3. Identify features of a generated pattern that are not explicitly stated in the rule (e.g., the terms alternate between odd and even numbers)
  4. Explain informally why an observed feature will continue to hold for all terms in the sequence (e.g., odd + 3 = even, even + 3 = odd, so alternation continues)
  5. Distinguish between the rule that generates a pattern and the features that emerge from it

Slides

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Slides

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