Multiplication Number String: Fourth Grade

Grade 4 / Math / Tch DIY
CCSS: Math.4.NF.B.4a Math.4.NF.B.4b

Common Core State Standards

Math

Math

4

Grade 4

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?


Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards

Math

Math

4

Grade 4

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?


Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100.

Download Common Core State Standards (PDF 1.2 MB)



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.

Tch visited Kristin's Gray's school. Watch the video.

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Common Core Standards
Math.4.NF.B.4a, Math.4.NF.B.4b

Supporting Materials

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  • Lesson Plan: Number String Planning Guide.PDF

  • Student Work: Student Journals.PDF

  • Reflection and Resources.PDF

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