Virginia SOL 3.NS.3 (3rd Grade): Math Standard Explained, Lesson Ideas & Free Worksheet

Cluster contents

Knowledge and Skills in This Standard

3.NS.3 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

Teacher's field guide

What Students Need to Do: Students represent proper fractions, improper fractions, and mixed numbers with area, length, and set models. They name fractions as sums of unit fractions, decompose them, and connect improper fractions to mixed numbers. They compare amounts using benchmarks, numerator or denominator patterns, models, words, and symbols, and show equivalent fractions.
What Mastery Looks Like: Given 7/4, a student can build or draw seven fourths, write 1 3/4, and split it into valid sums. They correctly explain why 2/3 is greater than 2/8 and why 3/6 is less than 4/6. They can match equivalent area or length models, such as 1/2 and 4/8.
Common Misconceptions: Students often think 3/8 is greater than 3/4 because 8 is larger. They may count shaded pieces while ignoring unequal parts or different-sized wholes. They may treat improper fractions as invalid or rename 7/4 as 1 7/4 instead of 1 3/4.
How to Assess It: Exit ticket: Draw 7/4 on fraction bars, rename it, and decompose it two ways. Then shade an eighths strip equal to 1/2 and compare 3/8 with 1/2.

Lesson moves

Give pairs fraction strips to build 7/4, rename it as a mixed number, and record two decompositions.
Ask students to explain why 3/4 is greater than 3/8 even though 8 is larger, using a labeled sketch.
Play Fraction Sort by placing cards below, at, or above 1/2, then matching cards that show equivalent amounts.
Use a recipe card to decide whether seven quarter-cups of oats equals 1 3/4 cups, then sketch the scoops.

Free download

$Preview of the 3.NS.3 printable worksheet$

A ready-to-print activity worksheet aligned to 3.NS.3, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

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