Virginia SOL 5.NS.2.b

Math5th GradeNumber and Number Sense

The Standard

Classify, compare, and contrast whole numbers up to 100 using the characteristics prime and composite.

Virginia Standards of Learning for Mathematics · The student will demonstrate an understanding of prime and composite numbers, and determine the prime factorization of a whole number up to 100.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students find factor pairs for whole numbers. They use those pairs to decide whether each number is prime or composite and explain how two numbers differ. They recognize that 1 is neither.

What Mastery Looks Like

A student lists complete factor pairs without repeats. They identify a prime number as having exactly two factors and a composite number as having more than two. They explain why 1 is neither.

Common Misconceptions

Students may think every odd number is prime or every even number is composite. They often call 1 prime because it has one factor. Some confuse factors with multiples or stop checking before finding all factor pairs.

How to Assess It

Exit ticket: List the factor pairs for 17 and 27, classify each number, and write one sentence comparing them. Explain why 1 belongs to neither group.

Lesson moves

Ways to Teach It

  1. Give pairs 36 counters and number cards; students build equal arrays for each number, record factor pairs, then label it prime or composite.

  2. Ask, “Is every odd number prime?” and have students use 9, 15, 17, and 21 as evidence in a written response.

  3. Play Prime or Composite Sort with cards 1 through 100; students place each card, then defend one choice by naming its factors.

  4. Plan equal rows for 29, 30, and 31 chairs, then connect possible arrangements to prime and composite labels.

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Printable 5.NS.2.b Worksheet

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