Lesson plan

9. Interpreting Remainders (FP)

teaches Common Core State Standards CCSS.Math.Content.4.MD.A.2 http://corestandards.org/Math/Content/4/MD/A/2
teaches Common Core State Standards CCSS.Math.Content.4.OA.A.3 http://corestandards.org/Math/Content/4/OA/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
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Lesson objective: Analyze real-world division problems to determine how to interpret a remainder.  

This lesson helps to build procedural skill with interpreting remainders in division word problems. Tape diagrams are used here because it supports students' understanding of the dividend, divisor, quotient, and remainder.  This work develops students' understanding that we can use addition, subtraction, multiplication, and division to solve multi-step measurement problems.

Students engage in Mathematical Practice 1 (Make sense and persevere) as they analyze the given information and explain the meaning of the problem.  Students should ask themselves, "Does this make sense?"  when interpreting what to do with remainders.  Additionally, this work engages in Mathematical Practice 2 (Reason abstractly and quantitatively) as they reason about how to use remainders in division problems and create a logical explanation for what to do with the remainders.    

Key vocabulary:

  • Dividend
  • Divisor
  • Quotient
  • Remainders

Special materials needed:

  • Possible mentor text, Remainder of One, by Elinot J. Pinzes
  • Smartboard, document camera, or overhead projector