Lesson 11

Workshop: More Than, Less Than, or Equal To

Est. Class Sessions: 1
X

Mathematical Standards

4.NF.A
Extend understanding of fraction equivalence and ordering. (4.NF.A.1, 4.NF.A.2)
4.NF.B
Build fractions from unit fractions. (4.NF.B.4)

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.

Students explore comparing, ordering, and finding equivalent fractions using a variety of representations. This workshop lesson provides opportunities for students to revisit concepts in new contexts, practice skills, apply concepts, or extend their learning.

Content in this Lesson

  • Finding equivalent fractions using area models [E8].
  • Comparing and ordering fractions using area models and number lines [E9].
  • Making connections among representations of fractions, including symbols, words, area models, and number lines [E7].
  • Naming and representing fractions greater than one as mixed numbers or improper fractions [E5].
  • Communicating solution strategies [MPE2, MPE5].
  • Representing fraction comparisons with symbols (e.g., <, >, =) [E7].

Daily Practice and Problems KK–LL

KK. Fact Family Quiz

LL. Fraction Order

X

Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide
  • Workshop: More Than, Less Than, or Equal To
    Self-Check: Questions 1–5
    Page 358,
    Self-Check: Question 16
    Page 362, and Check-In: Question 15
    Page 361
Student Activity Book

Teacher Resources

 Teacher Guide - digital

Supplies for Students

fraction circle pieces
Index cards, self-adhesive notes, or small sheets of paper, one per student

Materials for the Teacher

Benchmark Number Line created on chart paper in Lesson 9. See Materials Preparation.
Unit 8 Assessment Record
Math Facts Class Record
Display set of fraction circle pieces

Materials Preparation

Display of a Benchmark Number Line. If you did not make this display in Lesson 9, draw a Benchmark Number Line on a large piece of chart paper. Label the number line with 0, 1/2, and 1. Trace fraction circle pieces to create pictures of 0, 1/2, and 1 whole as shown in Figure 1. Note that the red circle is the unit whole. This number line will be used throughout the lesson to order and compare fractions.

Figure 1: Display of Benchmark Number Line on chart paper

TIMS Tip

Spray the chart paper for the class Benchmark Number Line with low-tack spray adhesive to create a large surface that is always sticky, like a self-adhesive note. You will be able to easily place, move, and remove fractions from the number line without additional tape or glue.

Assessment in this Lesson

Assessment Expectation Assessed Math Practice Assessed

Workshop: More Than, Less Than, or Equal To
Self-Check:
Questions 1–5 and 16
Student Guide
Pages 358 and 362
E8.
Find equivalent fractions using area models (circle pieces, fraction strips, drawings) and multiplication and division strategies.
E9.
Compare and order fractions using area models, number lines, and one-half as a benchmark.

Workshop: More Than, Less Than, or Equal To
Check-In:
Question 15
Student Guide
Page 361
and the corresponding Feedback Box
Teacher Guide - digital
E8.
Find equivalent fractions using area models (circle pieces, fraction strips, drawings) and multiplication and division strategies.
E9.
Compare and order fractions using area models, number lines, and one-half as a benchmark.
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.

Ordering Fractions
Self-Check:
Question 1
Student Activity Book
Page 309
E7.
Make connections among representations of fractions including symbols, words, area models, and number lines.
E9.
Compare and order fractions using area models, number lines, and one-half as a benchmark.

DPP Item KK
Fact Family Quiz
Teacher Guide - digital
E13.
Determine the unknown number in a multiplication or division sentence relating three whole numbers for the 9s facts.