Lesson 3

Paper-and-Pencil Division

Est. Class Sessions: 2–3
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Mathematical Standards

5.NBT.A
Understand the place value system. (5.NBT.A.1)
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.

A paper-and-pencil method of division called the partial quotients method is reviewed. Students continue to estimate quotients and interpret remainders.

Content in this Lesson

  • Estimating quotients [E5].
  • Checking division with multiplication [MPE4].
  • Showing connections between models and strategies for multidigit division [E2].
  • Interpreting remainders from division of multidigit numbers [E3].
  • Dividing numbers that are multiples of ten [E6].
  • 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

  • calculator
  • scissors
  • envelope to store cards

Materials for the Teacher

Materials Preparation

Digit Cards. Ask students to cut apart the Digit Cards 0–9 from copies of the Master and store them in an envelope.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Paper-and-Pencil Division
Check-In: Question 6–10
Student Guide
Pages 311–312
E2.
Show connections between models and strategies for multidigit division.
E3.
Interpret remainders from division of multidigit numbers.
E6.
Divide numbers that are multiples of ten.
E7.
Divide multidigit numbers by one- and two-digit divisors using paper and pencil.

Paper-and-Pencil Division Quiz
with Feedback Box
Teacher Guide - digital
E2.
Show connections between models and strategies for multidigit division.
E3.
Interpret remainders from division of multidigit numbers.
E6.
Divide numbers that are multiples of ten.
E7.
Divide multidigit numbers by one- and two-digit divisors using paper and pencil.
MPE3.
Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
MPE4.
Check my calculations. If I make mistakes, I correct them.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.

DPP Item I
Dividing with Zeros
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).