Dot Image Math Routine: 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 dot image gives students the opportunity to see connections between operations and visualize the properties of operations by counting a set of dots in many ways.

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Supporting Materials

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  • Lesson Plan: Dot Image Planning Guide.PDF

  • Student Work: Student Journals.PDF

  • Reflection and Resources.PDF

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Tch Special Dot Image Math Routine: Fourth Grade

Grade 4 / Math / Tch Diy

Dot Image Math Routine: Fourth Grade