Standard

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.

Student language:

• "I can create a number or shape pattern that follows a given rule."
• "I can notice different features of a pattern once it is created by a rule."

Explanation

About the Math, Learning Targets, and Rigor

Patterns and rules are related. A pattern is a sequence that repeats the same process over and over. A rule dictates what that process will look like. Students investigate different patterns to find rules, identify features in the patterns, and justify the reason for those features.

After students have identified rules and features from patterns, they need to generate a numerical or shape pattern from a given rule.

Resources

Videos

• Khan Academy (scroll to find 4.OA.5, click on a skill, find videos on left side in each skill)
• Learn Zillion
  • Videos
• Virtual Nerd

Extra Practice

• North Carolina Tasks
• Illustrative Math Tasks
• Howard County Tasks
  • Click on 4th grade at bottom, then 4.OA.5
• Common Core Sheets

Released Assessment Questions

PARCC

4.OA.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.

• Tasks do not require students to determine a rule; the rule is given.
• 75% of patterns should be number patterns.

Performance Indicators: 4.OA.5

Level 5: Exceeds Expectations

Generates a number or shape pattern that follows a given rule and identifies apparent features of the pattern that were not explicit in the rule itself and describes the rule for generating the number or shape pattern.

Level 4: Meets Expectations

Generates a number or shape pattern that follows a given rule and identifies explicit features of the pattern.

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