Lesson 4

Hundredths

Est. Class Sessions: 2–4
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Mathematical Standards

4.NF.C
Understand decimal notation for fractions, and compare decimal fractions. (4.NF.C.5, 4.NF.C.6, 4.NF.C.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.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make sense of structure.

Students use various representations to develop their understanding of decimals through hundredths. They build on their previous experiences with base-ten pieces, number lines, metersticks, and money. Students also explore a Hundredths Chart. They play a game to practice naming and representing hundredths.

Content in this Lesson

  • Making connections between different representations of decimals (concrete, pictorial, verbal, and symbolic) [E7].
  • Representing decimals using base-ten pieces, number charts, and number lines (metersticks) [E5].
  • Comparing and ordering decimals using models [E8].
  • Using words and numbers to read and write decimals to hundredths [E6].
  • Using common fractions and decimals to represent the same quantity [E7].
  • Reading and writing decimals to the hundredths [E6].
  • Adding and subtracting 0.1 and 0.01 [E9].
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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 Student Groups

100–300 pennies, centimeter connecting cubes, or other counters

Supplies for Student Pairs

base-ten pieces (2 packs, 14 flats, 30 skinnies, 50 bits)
2 metersticks

Materials for the Teacher

Display of the Hundredths Chart (Student Activity Book) Page 421
100 Chart Master (Teacher Guide) optional
Display of Hundredths, Hundredths, Hundredths Game Board (Student Activity Book) Page 425
Display set of base-ten pieces, optional
Display of Math Practices (Student Guide) Reference
Unit 10 Assessment Record
toy car or ball
2 or 3 metersticks

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Linda's Base-Ten Pieces
Student Activity Book and corresponding Feedback Box
Pages 427–430
E5.
Represent decimals using area models, number lines, and base-ten pieces.
E6.
Use words and numbers to read and write decimals to the hundredths.
E8.
Compare and order decimals to the hundredths using models.
MPE1.
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.

Hundredths and Tenths Quiz
with Feedback Box
Teacher Guide - digital
E4.
Measure length to the nearest meter and hundredth of a meter (centimeter).
E5.
Represent decimals using area models, number lines, and base-ten pieces.
E6.
Use words and numbers to read and write decimals to the hundredths.
E8.
Compare and order decimals to to the hundredths using models.