Virginia SOL 3.NS.3.h
The Standard
Represent equivalent fractions with denominators of 2, 3, 4, 5, 6, 8, or 10, using region/area models and length models.
Virginia Standards of Learning for Mathematics · The student will use mathematical reasoning and justification to represent and compare fractions (proper and improper) and mixed numbers with denominators of 2, 3, 4, 5, 6, 8, and 10), including those in context.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use shaded shapes, fraction strips, and number lines to show two fractions that name the same amount. They explain matches by comparing equal lengths or areas from same-sized wholes.
What Mastery Looks Like
- Given 1/2, students can build and label matches such as 2/4, 3/6, 4/8, and 5/10. Their models use equal parts, represent the same whole, and show matching amounts.
Common Misconceptions
- Students may count partition lines instead of parts, make unequal parts, or compare models built from different-sized wholes. They may assume a larger denominator means a larger fraction, or multiply only the numerator or denominator.
How to Assess It
- Exit ticket: Draw a rectangle and a number line to prove that 2/3 equals 4/6. Label both fractions and explain why they are equal.
Lesson moves
Ways to Teach It
Give students fraction strips for halves, thirds, fourths, sixths, and eighths; students align strips and record three equivalent fraction equations.
Show equal-sized circles shaded 1/2 and 3/6; ask, “How can different numbers name the same amount?”
Play Equivalent Fraction Match with cards showing symbols, shaded rectangles, and number-line points; students keep sets after explaining each match.
Draw same-sized brownie pans cut into halves, fourths, and eighths; label servings that give two people equal amounts.
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Printable 3.NS.3.h Worksheet
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Related Standards
- 2.NS.3.f
Compare unit fractions for halves, fourths, eighths, thirds, and sixths using words (greater than, less than or equal to) and symbols (>, <, =), with region/are...
- 3.NS.3.g
Compare two fractions (proper or improper) and/or mixed numbers with like denominators of 2, 3, 4, 5, 6, 8, and 10 (e.g., 3 6 < 4 6 ) using words (greater than,...
- 3.NS.3.f
Compare two fractions (proper or improper) and/or mixed numbers with like numerators of 2, 3, 4, 5, 6, 8, and 10 (e.g., 2 3 > 2 8 ) using words (greater than, l...
- 4.NS.3.e
Represent equivalent fractions with denominators of 12 or less, with and without models.*
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