NY Next Generation Math NY-3.NF.3.d
The Standard
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons rely on the two fractions referring to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare fractions that share a numerator or denominator by reasoning about their size. They use >, =, or < and compare fractions referring to the same whole.
What Mastery Looks Like
- The student explains that 3/8 is less than 3/4 because fourths are larger than eighths. The student supports each comparison with a model or size argument.
Common Misconceptions
- Students may assume a larger denominator makes a larger fraction. They may compare shaded regions from different-sized wholes as if the wholes were equal.
How to Assess It
- Give 3/4 and 3/8 with equal-sized fraction strips. Ask students to insert a comparison symbol and justify the result.
Lesson moves
Ways to Teach It
Build pairs of fractions with equal-sized strips, then compare pieces with the same numerator or denominator.
Ask students why 2/3 is greater than 2/6 even though 6 is larger than 3.
Play Fraction Compare with same-numerator and same-denominator card pairs.
Compare two equal-sized garden plots with different fractions planted and decide which planted area is larger.
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Printable NY-3.NF.3.d Worksheet
A ready-to-print activity worksheet aligned to NY-3.NF.3.d, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- NY-4.NF.2
Compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same w...
- NY-4.NF.7
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record th...
- NY-3.NF.3
Explain equivalence of fractions and compare fractions by reasoning about their size.
- NY-3.NF.3.a
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
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