Lesson 3

Many Ways to Show 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)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
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 represent decimals to the thousandths using circle pieces, grids, base-ten pieces, number lines, symbols, and words. They make connections between the decimal representations.

Content in this Lesson

  • Representing numbers to the thousandths using circle pieces, grid models, base-ten pieces, and number lines [E1].
  • Representing numbers to the thousandths using symbols and words [E1].
  • Making connections among representations of decimal numbers to the thousandths [E2].
  • 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].
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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
  • Hundredths Circle Wheel from Lesson 2
  • base-ten pieces
  • scissors
  • markers
  • flat toothpicks

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed

Many Ways to Show Decimals
Check-In:
Question 12
Student Guide
Page 374
E1.
Represent numbers to the thousandths using fractions, decimals, words, area models, base-ten pieces, number lines, and expanded form.
E2.
Make connections among representations of decimals including fractions, words, area models, base-ten pieces, number lines, and number sentences.
E5.
Recognize 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.

Show Decimals
Student Activity Book
Pages 301–304
E1.
Represent numbers to the thousandths using fractions, decimals, words, area models, base-ten pieces, number lines, and expanded form.
E2.
Make connections among representations of decimals including fractions, words, area models, base-ten pieces, number lines, and number sentences.
E5.
Recognize 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.