# Series: Math Routines with Kristin Gray: Fourth Grade

Math.4.NF.B.4a

Common core State Standards

• Math:  Math
• NF:  Number & Operations--Fractions
• B:  Build fractions from unit fractions
• 4a:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

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).

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.)

c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
<br />
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.

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Math.4.NF.B.4b

Common core State Standards

• Math:  Math
• NF:  Number & Operations--Fractions
• B:  Build fractions from unit fractions
• 4b:
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

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).

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.)

c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
<br />
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.

## Multiplication Number String: Fourth Grade

Grade 4 / Math / Tch DIY
Math.4.NF.B.4a | Math.4.NF.B.4b

A number string is a series of mathematical expressions organized in a way that encourages students to build on their thinking as the string progresses.

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### Tch DIY: Fourth Grade Math Routines

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#### School Details

Shields (Richard A.) Elementary School
910 Shields Avenue
Lewes DE 19958
Population: 723

Data Provided By: #### Teachers Kristin Gray
Math / Kindergarten 1 2 3 4 5 / Teacher

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