Lesson 3

Modeling Division

Est. Class Sessions: 2
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Mathematical Standards

4.NBT.B
Use place value understanding and properties of operations to perform multi-digit arithmetic. (4.NBT.B.6)
4.OA.A
Use the four operations with whole numbers to solve problems. (4.OA.A.3)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP4.
Model with mathematics.

Students develop conceptual models and flexible strategies for division by single-digit divisors. They explore two conceptual models for solving division problems: a column model and a rectangle model. These methods build on the estimation strategies developed in the previous lesson. They also build a foundational understanding for the partial quotients method presented in Lesson 6.

Content in this Lesson

  • Developing models and methods to solve division problems with multidigit numbers by 1-digit numbers [E1].
  • Showing connections between multiplication and division (e.g., fact families, using multiplication to divide) [E2].
  • Interpreting remainders [E4].
  • Using flexible strategies and mental math to solve division problems.
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide  
Student Activity Book    

Teacher Resources

 Teacher Guide - digital    

Materials for the Teacher

Display of Dividing Into Columns (Student Activity Book) Pages 505–506, optional
Display of How Far Down the Hall? (Student Activity Book) Pages 507–508, optional
Display of Division Strategies Menu (Student Guide) Reference
Unit 12 Assessment Record

Assessment in this Lesson

Assessment Expectation Assessed
Modeling Division
Check-In: Questions 19–24
Student Guide
Page 540
E1.
Demonstrate understanding of division of multidigit numbers by 1-digit numbers using models.
E3.
Show connections between multiplication and division (e.g., fact families, using multiplication to divide).
E4.
Interpret remainders from division of multidigit numbers.