Lesson 7

Workshop: Many Ways to Show a Fraction

Est. Class Sessions: 2
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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.
MP4.
Model with mathematics.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

Students explore representations of fractions: numbers, words, circle pieces, rectangles, fraction strips, and number lines. They play a game using circle pieces that develops flexibility representing fractions. This workshop lesson provides opportunities for students to address missing concepts, practice skills, or extend their learning as needed.

Content in this Lesson

  • Representing fractions using area models (circle pieces, fraction strips, drawings) [E1].
  • Locating fractions on a number line [E1].
  • Using words and numbers to name fractions [E2].
  • Recognizing that equal fractional parts of a unit whole are the same size, although not necessarily the same shape [E8].
  • Recognizing that the same fractional parts of different-sized unit wholes are not equal [E3].
  • Identifying the unit whole when given a fractional part of a whole [E4].
  • Naming and representing fractions greater than one as mixed numbers and improper fractions using models (fraction strips, circle pieces, and number lines) [E5].
  • Making connections among representations of fractions, including symbols, words, area models, and number lines [E7].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide
Student Activity Book
  • Showing Fractions
    Self-Check:
    Q# 1, 16, 23, 32
    Pages 259, 268, 270, 272
    and
    Self-Check with menu for Fraction Fill
    Page 276

Teacher Resources

 Teacher Guide - digital

Supplies for Student Pairs

colored pencils or crayons, optional
two sets of fraction circle pieces for Fraction Fill
clear plastic spinner or a paper clip and pencil

Materials for the Teacher

Display of Fraction Fill 1 Game Board (Student Activity Book) Page 279
Display of Fraction Fill 1 Spinner (Student Activity Book) Page 281
Unit 8 Assessment Record
Display set of fraction circle pieces
clear plastic spinner or a paper clip and pencil

Materials Preparation

Spinners. If you do not have clear plastic spinners to place over the Fraction Fill spinners, students can use paper clips and pencils. Straighten out one end of the paper clip, and place a pencil through the curved end. Then put the point of the pencil on the center of the spinner, and spin the paper clip around the pencil, using the straightened end as the pointer.

Assessment in this Lesson

Assessment Expectation Assessed

Showing Fractions
Self-Check:
Questions 1, 16, 23, 32
Student Activity Book
Pages 259, 268, 270, 272
E1.
Represent fractions using area models (circle pieces, fraction strips, drawings) and number lines.
E2.
Use words and numbers to name fractions.
E3.
Recognize that the same fractional parts of different-sized unit wholes are not equal.
E4.
Identify the unit whole when given a fractional part of a whole.
E5.
Name and represent fractions greater than one as mixed numbers and improper fractions using models (fraction strips, circle pieces, number lines).
E7.
Make connections among representations of fractions including symbols, words, area models, and number lines.

Showing Fractions
Self-Check with menu for Fraction Fill
Student Activity Book
Page 276
E6.
Write number sentences from area models of fractions
(e.g., 1/2 = 3/6, 1/3 + 1/3 = 2/3, 1/3 + 1/3 + 1/3 = 1/3 × 3).