Lesson 11

Strategies for Dividing Decimals

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.A.3)
5.NBT.B
Perform operations with multi-digit whole numbers and with decimals to hundredths. (5.NBT.B.7)

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.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students explore the division of decimals. They solve division problems using patterns, models, and strategies based on their place value understanding.

Content in this Lesson

  • Dividing decimals using models and strategies [E8].
  • Estimating decimal quotients [E9].
  • Recognizing that in a multidigit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left [E5].
  • Explaining patterns in the placement of the decimal point when a decimal is divided by a power of ten [E6].
  • Representing numbers to the thousandths using symbols, words, area models, base-ten pieces, and expanded form [E1].
  • Finding a strategy [MPE2].
  • Estimating to check for reasonableness [MPE3].
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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

  • fraction circle pieces
  • base-ten pieces
  • calculator
  • My Decimal Strategies Menus completed in Lesson 8, optional

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Strategies for Dividing Decimals
Check-In:
Questions 27–30
and the corresponding
Feedback Box
Teacher Guide - digital
E6.
Explain the patterns in the number of zeros of the product when multiplying by a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of ten.
E8.
Multiply and divide decimals using models and strategies.
E9.
Estimate sums, differences, products, and quotients involving decimals and fractions.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.
MPE3.
Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.

Decimal Quiz
with Feedback Box
Teacher Guide - digital
E1.
Represent numbers to the thousandths using fractions, decimals, words, area models, base-ten pieces, number lines, and expanded form.
E3.
Compare and order decimals to the thousandths using place value understanding and benchmarks.
E4.
Round decimals using place value understanding.
E7.
Add and subtract decimals to the thousandths using models and strategies.
E8.
Multiply and divide decimals using models and strategies.
E9.
Estimate sums, differences, products, and quotients involving decimals and fractions.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.

DPP Item OO
Multiplication and Division Inventory
Teacher Guide - digital
E13.
Demonstrate fluency with the multiplication and division facts.