Virginia SOL 2.PFA.1.a

Math2nd GradePatterns, Functions, and Algebra

The Standard

Identify and describe repeating and increasing patterns.

Virginia Standards of Learning for Mathematics · The student will describe, extend, create, and transfer repeating and increasing patterns (limited to addition of whole numbers) using various representations.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students decide whether a sequence repeats a set group or grows by adding whole numbers. They explain the rule using words, numbers, shapes, sounds, or movements.

What Mastery Looks Like

A student can classify a sequence as repeating or growing and explain why. The student names the repeating group or states the amount added each time.

Common Misconceptions

Students may focus only on the next item instead of finding the group that repeats. They may call any sequence that gets larger a pattern, even when there is no clear addition rule.

How to Assess It

Show △ ○ ○ △ ○ ○ and 4, 7, 10, 13. Ask students to label each pattern type and write or tell its rule.

Lesson moves

Ways to Teach It

  1. Give pairs colored cubes to build red-blue-blue-red-blue-blue and towers of 2, 4, 6, 8 cubes, then explain each rule.

  2. Display square-circle-circle-square-circle-circle and ask, “What repeats, and how do you know?” Then compare it with 2, 5, 8, 11.

  3. Play Pattern Sort: students draw sequence cards, place them under repeating or growing, and earn a point by stating the rule.

  4. Examine photos of floor tiles, brick walls, and stacked cans; students mark a repeating or growing arrangement and explain its rule.

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Printable 2.PFA.1.a Worksheet

Preview of the 2.PFA.1.a printable worksheet

A ready-to-print activity worksheet aligned to 2.PFA.1.a, with an answer key for the teacher on its own page. No account needed.

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