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STANDARDS

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US-NY

Math

New York Math

Grade 4: Number and Operations—Fractions

Extend understanding of fraction equivalence and ordering.

NY-4.NF.1

Fully covered
Explain why a fraction a/b is equivalent to a fraction (a × n)/(b × n) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

NY-4.NF.2

Fully covered
Compare two fractions with different numerators and different denominators. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions.

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

NY-4.NF.3

Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

NY-4.NF.3.a

Mostly covered
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

NY-4.NF.3.b

Fully covered
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions.

NY-4.NF.3.c

Fully covered
Add and subtract mixed numbers with like denominators.

NY-4.NF.3.d

Fully covered
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

NY-4.NF.4

Apply and extend previous understandings of multiplication to multiply a whole number by a fraction.

NY-4.NF.4.a

Fully covered
Understand a fraction a/b as a multiple of 1/b.

NY-4.NF.4.b

Fully covered
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a whole number by a fraction.

NY-4.NF.4.c

Fully covered
Solve word problems involving multiplication of a whole number by a fraction.

Understand decimal notation for fractions, and compare decimal fractions.

NY-4.NF.5

Fully covered
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.
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NY-4.NF.6

Fully covered
Use decimal notation for fractions with denominators 10 or 100.

NY-4.NF.7

Fully covered
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 the results of comparisons with the symbols >, =, or <, and justify the conclusions.