Lesson 2

Modeling Division

Est. Class Sessions: 2–3
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Mathematical Standards

5.NBT.B
Perform operations with multi-digit whole numbers and with decimals to hundredths. (5.NBT.B.6)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP4.
Model with mathematics.
MP6.
Attend to precision.
MP8.
Look for and express regularity in repeated reasoning.

Students develop conceptual models and flexible strategies for division by one- and two-digit divisors. They explore how to solve division problems using a column model, a rectangle model, and mental math strategies. 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 3.

Content in this Lesson

  • Developing models and methods to solve division problems.
  • Interpreting remainders [E3].
  • Estimating quotients.
  • Using flexible strategies and mental math to solve division problems.
  • Demonstrating understanding of division of multidigit numbers by one- and two-digit numbers using models [E1].
  • Estimating quotients for division of multidigit numbers by one- and two-digit numbers [E5].
  • Dividing multidigit numbers by one- and two-digit divisors using paper and pencil [E7].
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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

Supplies for Students

  • 40 connecting cubes or other counters such as pennies or beans
  • self-adhesive notes, optional

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed

Modeling Division
Check-In: Questions 14E–F
Student Guide
Page 302
E1.
Demonstrate understanding of division of multidigit numbers by one- and two-digit numbers using models.
E5.
Estimate quotients for division of multidigit numbers by one- and two-digit numbers.
E7.
Divide multidigit numbers by one- and two-digit divisors using paper and pencil.

Modeling Division
Check-In: Questions 23–29
Student Guide
Page 304
E1.
Demonstrate understanding of division of multidigit numbers by one- and two-digit numbers using models.
E3.
Interpret remainders from division of multidigit numbers.
E5.
Estimate quotients for division of multidigit numbers by one- and two-digit numbers.
E7.
Divide multidigit numbers by one- and two-digit divisors using paper and pencil.

DPP Item G
Fact Families for × and ÷
Teacher Guide - digital
E15.
Demonstrate fluency with the multiplication and division facts for the last six facts (4 × 6, 4 × 7, 4 × 8, 6 × 7, 6 × 8, 7 × 8).