Georgia 5.NR.3.2
The Standard
Compare and order up to three fractions with different numerators and/or different denominators by flexibly using a variety of tools and strategies.
Georgia's K-12 Mathematics Standards · Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide which fractions are smaller or larger and place up to three in order. They use models, benchmarks, or equivalent fractions to explain how they know.
What Mastery Looks Like
- Students correctly order three fractions and justify each comparison. They choose an efficient strategy, such as benchmarks, equivalent fractions, common denominators, fraction strips, or a number line.
Common Misconceptions
- Students may assume a larger denominator means a larger fraction, or compare only the numerators. They may also compare models with different-sized wholes or place fractions incorrectly around benchmarks such as one-half.
How to Assess It
- Ask students to order 5/8, 7/10, and 3/4 from least to greatest. Require a number line or benchmark explanation for two comparisons.
Lesson moves
Ways to Teach It
Give pairs fraction strips, then have students build and order 2/3, 3/4, and 5/8 on their desks.
Ask, “Which is greater, 5/6 or 7/9?” Students write a claim and defend it using a benchmark or equivalent fractions.
Play Fraction War with three cards per round, and award a point to the player who orders all three correctly.
Compare three recipe amounts, such as 2/3 cup, 3/4 cup, and 5/8 cup, and list them from least to greatest.
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Printable 5.NR.3.2 Worksheet

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Related Standards
- 3.NR.4.3
Represent fractions, including fractions greater than one, in multiple ways.
- 3.NR.4.2
Compare two unit fractions by flexibly using a variety of tools and strategies.
- 4.NR.4.6
Add and subtract fractions and mixed numbers with like denominators using a variety of tools.
- 4.NR.4.3
Compare two fractions with different numerators and/or different denominators by flexibly using a variety of tools and strategies and recognize that comparisons...
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