3.NF.A.3.a - Illustrative Mathematics

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Grade 3 Domain Number and Operations—Fractions Cluster Develop understanding of fractions as numbers. Standard Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. 3.NF.A.3

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

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a Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

b Recognize and generate simple equivalent fractions, e.g., $1/2 = 2/4$, $4/6 = 2/3$. Explain why the fractions are equivalent, e.g., by using a visual fraction model.

c Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express $3$ in the form $3 = 3/1$; recognize that $6/1 = 6$; locate $4/4$ and $1$ at the same point of a number line diagram.

d Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols $>$, =, or $<$, and justify the conclusions, e.g., by using a visual fraction model.

Tasks

Ordering Fractions View Details Jon and Charlie's Run View Details Comparing Fractions View Details Comparing Fractions with a Different Whole View Details Comparing Fractions with the Same Denominator, Assessment Variation View Details Comparing Fractions with the Same Numerators, Assessment Variation View Details Fraction Comparisons With Pictures, Assessment Variation View Details Snow Day View Details Halves, thirds, and sixths View Details Comparing Fractions Game View Details

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