Maryland Math 5.AT.B.3.b

Math5th GradeAlgebraic Thinking

The Standard

Generate two numerical patterns using two given rules and identify relationships between corresponding terms.

Maryland College and Career Ready Standards for Mathematics (2025) · ANALYZE PATTERNS AND RELATIONSHIPS.

Teacher's field guide

What Students Need to Do: Students use two starting numbers and two rules to make number patterns. They match terms by position and describe how each pair is related.
What Mastery Looks Like: Given a pattern starting at 1 and adding 3, and another starting at 2 and adding 6, a student lists five terms in each. They show that every term in the second list is twice its match.
Common Misconceptions: Students may match terms with the same value instead of terms in the same position. They may also assume that doubling the amount added makes every term double, without checking the starting numbers.
How to Assess It: Exit ticket: Start one pattern at 2 and another at 5. Add 3 to each four times, then describe how the matching terms are related.

Lesson moves

Set out two rows of counters starting with 1 and 2; add 2 and 4 counters each round, then compare matching rows.
Write two lists starting at 2 and 3, adding 4 and 8; ask, "Is every term in the second list double its match?"
Hand out rule cards, such as start at 2 and add 3 or start at 5 and add 3; partners race to find five pairs.
Track two savings jars for four weeks, adding $3 to one and $6 to the other each week; compare their totals.

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