16.a 4.NF.B.4.A 4.NF.B.4a Math.4.NF.4a 4.NF.B.4.A 4.NF.4.a 4.NF.4a 4.NF.4.a 4.NF.4.a 4.NF.4.a 4.NF.B.4.a 16.b 4.NF.B.4.B 4.NF.B.4b Math.4.NF.4b 4.NF.B.4.B 4.NF.4.b 4.NF.4b 4.NF.4.b 4.NF.4.b 4.NF.4.b 4.NF.B.4.b 4.NF.B.4.b CC.2.1.4.C.2 M04.A-F.2.1.5 M04.A-F.2.1.6 MA.4.FR.2.4 MA.4.AR.1.3

Multiply by Fractions 4th Grade

Alabama Course of Study Standards: 16.a
Model and explain how a non-unit fraction can be represented by a whole number times the unit fraction. Example: 9/8 = 9 × 1/8
Arkansas Academic Standards: 4.NF.B.4.A
Understand a fraction a/b as a multiple of 1/b (e.g., Use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4))
Arizona - K-12 Academic Standards: 4.NF.B.4a
Understand a fraction a/b as a multiple of 1/b. In general, a/b = a × 1/b.
Common Core State Standards: Math.4.NF.4a or 4.NF.B.4.A Kentucky Academic Standards (KAS): 4.NF.4.a Mississippi College- and Career-Readiness Standards: 4.NF.4a
Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
North Carolina - Standard Course of Study: 4.NF.4.a
Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than one.
New York State Next Generation Learning Standards: 4.NF.4.a
Understand a fraction a/b as a multiple of 1/b. e.g., Use a visual fraction model to represent 5/4 as the product 5 × 1/4, recording the conclusion with the equation 5/4 = 5 × 1/4.
Ohio's Learning Standards: 4.NF.4.a
Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4) or 5/4 = (1/4) + (1/4) + (1/4) + (1/4) + (1/4).
Wisconsin Academic Standards: 4.NF.B.4.a
Understand a fraction as a group of unit fractions or as a multiple of a unit fraction. For example, 5/4 can be represented visually as 5 groups of 1/4, as a sum of unit fractions 1/4 + 1/4 + 1/4 + 1/4 + 1/4, or as a multiple of a unit fraction 5 × 1/4.
Alabama Course of Study Standards: 16.b
Extend previous understanding of multiplication to multiply a whole number times any fraction less than one. Example: 4 × 2/3 = (4 × 2)/3 = 8/3
Arkansas Academic Standards: 4.NF.B.4.B
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number (e.g., Use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5 (In general, n × (a/b) = (n × a)/b))
Arizona - K-12 Academic Standards: 4.NF.B.4b
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a whole number by a fraction. In general, n × a/b = (n × a)/b.
Common Core State Standards: Math.4.NF.4b or 4.NF.B.4.B Kentucky Academic Standards (KAS): 4.NF.4.b Mississippi College- and Career-Readiness Standards: 4.NF.4b
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
North Carolina - Standard Course of Study: 4.NF.4.b
Solve word problems involving multiplication of a fraction by a whole number.
New York State Next Generation Learning Standards: 4.NF.4.b
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a whole number by a fraction. e.g., use a visual fraction model to express 3 × 2/5 as 6 × 1/5, recognizing this product as 6/5 In general, n × a/b = (n × a) / b.
Ohio's Learning Standards: 4.NF.4.b
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
Tennessee Academic Standards: 4.NF.B.4.b
Understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a whole number by a fraction. For example, use a visual fraction model to express 3 × 2/5 as 6 × 1/5, recognizing this product as 6/5. (In general, n × a/b = (n × a)/b = (n × a) × 1/b.)
Wisconsin Academic Standards: 4.NF.B.4.b
Represent a whole number times a non-unit fraction (e.g., 3 × 2/5) using visual fraction models and understand this as combining equal groups of the non-unit fraction (3 groups of 2/5) and as a collection of unit fractions (6 groups of 1/5), recognizing this product as 6/5.
Pennsylvania Core Standards: CC.2.1.4.C.2
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Pennsylvania Core Standards: M04.A-F.2.1.5
Multiply a whole number by a unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number).
Pennsylvania Core Standards: M04.A-F.2.1.6
Multiply a whole number by a non-unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number).
Florida - Benchmarks for Excellent Student Thinking: MA.4.FR.2.4
Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.
Florida - Benchmarks for Excellent Student Thinking: MA.4.AR.1.3
Solve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.

Multiply by Fractions

Alabama Course of Study Standards: 16.a

Model and explain how a non-unit fraction can be represented by a whole number times the unit fraction.Example: 9/8 = 9 × 1/8

Arkansas Academic Standards: 4.NF.B.4.A

Understand a fraction a/b as a multiple of 1/b (e.g., Use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4))

Arizona - K-12 Academic Standards: 4.NF.B.4a

Understand a fraction a/b as a multiple of 1/b. In general, a/b = a × 1/b.

Common Core State Standards: Math.4.NF.4a or 4.NF.B.4.A

Kentucky Academic Standards (KAS): 4.NF.4.a

Mississippi College- and Career-Readiness Standards: 4.NF.4a

Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

North Carolina - Standard Course of Study: 4.NF.4.a

Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than one.

New York State Next Generation Learning Standards: 4.NF.4.a

Understand a fraction a/b as a multiple of 1/b.e.g., Use a visual fraction model to represent 5/4 as the product 5 × 1/4, recording the conclusion with the equation 5/4 = 5 × 1/4.

Ohio's Learning Standards: 4.NF.4.a

Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4) or 5/4 = (1/4) + (1/4) + (1/4) + (1/4) + (1/4).

Wisconsin Academic Standards: 4.NF.B.4.a

Understand a fraction as a group of unit fractions or as a multiple of a unit fraction.For example, 5/4 can be represented visually as 5 groups of 1/4, as a sum of unit fractions 1/4 + 1/4 + 1/4 + 1/4 + 1/4, or as a multiple of a unit fraction 5 × 1/4.

Alabama Course of Study Standards: 16.b

Extend previous understanding of multiplication to multiply a whole number times any fraction less than one.Example: 4 × 2/3 = (4 × 2)/3 = 8/3

Arkansas Academic Standards: 4.NF.B.4.B

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number (e.g., Use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5 (In general, n × (a/b) = (n × a)/b))

Arizona - K-12 Academic Standards: 4.NF.B.4b

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a whole number by a fraction. In general, n × a/b = (n × a)/b.

Common Core State Standards: Math.4.NF.4b or 4.NF.B.4.B

Kentucky Academic Standards (KAS): 4.NF.4.b

Mississippi College- and Career-Readiness Standards: 4.NF.4b

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

North Carolina - Standard Course of Study: 4.NF.4.b

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

New York State Next Generation Learning Standards: 4.NF.4.b

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a whole number by a fraction.e.g., use a visual fraction model to express 3 × 2/5 as 6 × 1/5, recognizing this product as 6/5In general, n × a/b = (n × a) / b.

Ohio's Learning Standards: 4.NF.4.b

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

Tennessee Academic Standards: 4.NF.B.4.b

Understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a whole number by a fraction. For example, use a visual fraction model to express 3 × 2/5 as 6 × 1/5, recognizing this product as 6/5.(In general, n × a/b = (n × a)/b = (n × a) × 1/b.)

Wisconsin Academic Standards: 4.NF.B.4.b

Represent a whole number times a non-unit fraction (e.g., 3 × 2/5) using visual fraction models and understand this as combining equal groups of the non-unit fraction (3 groups of 2/5) and as a collection of unit fractions (6 groups of 1/5), recognizing this product as 6/5.

Pennsylvania Core Standards: CC.2.1.4.C.2

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

Pennsylvania Core Standards: M04.A-F.2.1.5

Multiply a whole number by a unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number).

Pennsylvania Core Standards: M04.A-F.2.1.6

Multiply a whole number by a non-unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number).

Florida - Benchmarks for Excellent Student Thinking: MA.4.FR.2.4

Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.

Florida - Benchmarks for Excellent Student Thinking: MA.4.AR.1.3

Solve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.

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Model and explain how a non-unit fraction can be represented by a whole number times the unit fraction.
Example: 9/8 = 9 × 1/8

Understand a fraction a/b as a multiple of 1/b.
e.g., Use a visual fraction model to represent 5/4 as the product 5 × 1/4, recording the conclusion with the equation 5/4 = 5 × 1/4.

Understand a fraction as a group of unit fractions or as a multiple of a unit fraction.
For example, 5/4 can be represented visually as 5 groups of 1/4, as a sum of unit fractions 1/4 + 1/4 + 1/4 + 1/4 + 1/4, or as a multiple of a unit fraction 5 × 1/4.

Extend previous understanding of multiplication to multiply a whole number times any fraction less than one.
Example: 4 × 2/3 = (4 × 2)/3 = 8/3

Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a whole number by a fraction.
e.g., use a visual fraction model to express 3 × 2/5 as 6 × 1/5, recognizing this product as 6/5
In general, n × a/b = (n × a) / b.

Understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a whole number by a fraction. For example, use a visual fraction model to express 3 × 2/5 as 6 × 1/5, recognizing this product as 6/5.
(In general, n × a/b = (n × a)/b = (n × a) × 1/b.)