NY Next Generation Math NY-5.OA.3

Math5th GradeAnalyze patterns and relationships.

The Standard

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students generate two numerical patterns from two given rules. They compare corresponding terms, form ordered pairs, and graph those pairs on a coordinate plane.

What Mastery Looks Like

The student extends both patterns accurately and identifies a relationship between matching terms. The student writes and plots ordered pairs with coordinates in the correct order.

Common Misconceptions

Students may compare terms in different positions or switch coordinates when graphing. They may state the two rules but miss the relationship between corresponding terms.

How to Assess It

Give the rules add 2 starting at 1 and add 4 starting at 3. Ask students to generate five pairs, describe a relationship, and graph them.

Lesson moves

Ways to Teach It

  1. Build two term-by-term patterns with linking cubes, then record each matching pair in a table.

  2. Ask students what stays consistent between corresponding terms and how the graph shows it.

  3. Play Pattern Pair Relay by extending two rules and plotting each new ordered pair.

  4. Compare two savings plans that increase by different fixed amounts each week.

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