Chapter 6: Division

Standards for Mathematical Content in the CCSSM  

In the domain of Operations and Algebraic Thinking (K–Grade 5), students represent and  solve problems about division and they understand the relationship between multiplication  and division. In the domain of Number and Operations in Base Ten (K–Grade 5), students  use place value understanding and properties of operations to perform and become fluent  in multidigit division. In the domains of Number and Operations—Fractions (Grades 3–5)  and The Number System (Grades 6–8), students extend their understanding of whole  number division to divide fractions by fractions and to divide with negative numbers.  

Standards for Mathematical Practice in the CCSSM  

Opportunities to engage in all eight of the Standards for Mathematical Practice described  in the CCSSM occur throughout the study of division. The following standards may be  especially appropriate for emphasis while studying division: 

• 4 Model with mathematics. Students engage in this practice when they solve a  real-world problem by formulating a numerical division problem and then solve and  interpret the solution to the numerical division problem appropriately to solve the  original real-world problem.

• 5 Use appropriate tools strategically. Students engage in this practice when they  use methods for recording multidigit division strategically and when they use strip  diagrams, double number lines, tables, or the connection between multiplication  and division to reason about and solve fraction division problems.  

• 6 Attend to precision. Students engage in this practice when they think carefully  about how to interpret a remainder in a problem-solving situation and when they  distinguish between the meaning of 3, 4 and of 3/4 and yet also recognize the connection between these expressions.  (From Common Core Standards for Mathematical Practice. Published by Common  Core Standards Initiative.