Lesson 2

Fractions and Decimals

Est. Class Sessions: 1–2
X

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.
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.

Students compare fractions and then use a new fraction circle piece, the hundredths, to help them to compare fractions that are not so easy. Students then use the hundredths circle to change fractions to decimals.

Content in this Lesson

  • Using fractions and decimals to represent the same quantity [E1].
  • Making connections among representations of decimals including fractions, area models, and words [E2].
  • Comparing fractions and decimals [E3].
  • 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].

Daily Practice and Problems C–D

C. Practice Your Facts

D. Logic at a National Park

X

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

  • scissors
  • fraction circle pieces

Materials for the Teacher

Materials Preparation

Prepare a Display of the Hundredths Circle Wheel. Prepare two copies the Large Hundredths Circles Master each on different color paper. Cut out each circle and cut along the dotted line. Fit the two different color circles together as shown in the Student Guide.

Assessment in this Lesson

Assessment Expectation Assessed

Fractions and Decimals
Check-In:
Questions 22–23
Student Guide
Page 367
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.
E3.
Compare and order decimals to the thousandths using place value understanding and benchmarks.