Virginia SOL 4.NS.3.e
The Standard
Represent equivalent fractions with denominators of 12 or less, with and without models.*
Virginia Standards of Learning for Mathematics · The student will use mathematical reasoning and justification to represent, compare, and order fractions (proper, improper, and mixed numbers with denominators 12 or less), with and without models.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students create and recognize different fraction names for the same amount. They use models or multiply and divide the numerator and denominator by the same number.
What Mastery Looks Like
- Given 3/4, a student can name 6/8 and 9/12, then prove each match with a model. The student can also find a missing numerator or denominator by using the same factor.
Common Misconceptions
- Students may multiply or divide only the numerator, or add the same number to both parts. They may think a larger denominator means a larger fraction. Unequal model sections can also lead to false matches.
How to Assess It
- Exit ticket: Complete 2/3 = __/12, draw a model proving the match, and explain how both numbers changed.
Lesson moves
Ways to Teach It
Fold paper strips into halves, fourths, sixths, and twelfths, then stack them to find sections with equal lengths.
Ask students to explain why multiplying both parts of 2/3 by 4 keeps the fraction’s value unchanged.
Play a matching game with fraction cards, picture models, and number lines showing equal values.
Use measuring cups to show that two 1/4-cup scoops hold the same amount as one 1/2-cup scoop.
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Printable 4.NS.3.e Worksheet
A ready-to-print activity worksheet aligned to 4.NS.3.e, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.NS.1.a
Use concrete and pictorial models to represent fractions with denominators that are thirds, eighths, and factors of 100 in their equivalent decimal form.*
- 6.NS.1.c
Represent and determine equivalencies among fractions (proper or improper) and mixed numbers that have denominators that are 12 or less or factors of 100 and pe...
- 4.NS.3.f
Compose and decompose fractions (proper and improper) and/or mixed numbers with denominators of 12 or less, in multiple ways, with and without models.*
- 5.NS.1.c
Identify equivalent relationships between decimals and fractions with denominators that are thirds, eighths, and factors of 100 in their equivalent decimal form...
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