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STANDARDS

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US-NY

Math

New York Math

Grade 5: Number and Operations—Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

NY-5.NF.1

Fully covered
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

NY-5.NF.2

Fully covered
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

NY-5.NF.3

Fully covered
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

NY-5.NF.4

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

NY-5.NF.4.a

Fully covered
Interpret the product a/b × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.

NY-5.NF.4.b

Fully covered
Find the area of a rectangle with fractional side lengths by tiling it with rectangles of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

NY-5.NF.5

Interpret multiplication as scaling (resizing).

NY-5.NF.5.a

Mostly covered
Compare the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

NY-5.NF.5.b

Fully covered
Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case). Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number. Relate the principle of fraction equivalence a/b = a/b × n/n to the effect of multiplying a/b by 1.

NY-5.NF.6

Fully covered
Solve real world problems involving multiplication of fractions and mixed numbers.

NY-5.NF.7

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

NY-5.NF.7.a

Fully covered
Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.

NY-5.NF.7.b

Fully covered
Interpret division of a whole number by a unit fraction, and compute such quotients.

NY-5.NF.7.c

Fully covered
Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions.