Dot Image Math Routine: Fourth Grade
Common Core State Standards
Math 
Math 
4 
Grade 4 
NF 
Number & OperationsFractions 
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 & OperationsFractions 
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) 

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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.
Tch visited Kristin's Gray's school. Watch the video.
Teacher & School Info

Kristin Gray
 School Details
 Shields (Richard A.) Elementary School Lewes, DE
 Population
 722 students
 District Spending
 $14,381
Supporting Materials

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