Lesson 6

Using Circle Pieces

Est. Class Sessions: 3
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.3)

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.
MP4.
Model with mathematics.
MP7.
Look for and make use of structure.

Students build on their understanding of fraction concepts by exploring circle pieces as area models to represent fractions. They name fractions given different unit wholes, identify the unit whole when given a fraction, write number sentences to describe configurations of circle pieces, and represent fractions larger than 1.

Content in this Lesson

  • Representing fractions using circle pieces [E1].
  • Using numbers and words to name fractions [E2].
  • Recognizing that equal fractional parts of a unit whole are the same size [E1].
  • 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 the whole [E4].
  • Writing number sentences to describe configurations of fraction pieces [E6].
  • Representing fractions greater than one as mixed numbers or improper fractions using area models [E5].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide

Teacher Resources

 Teacher Guide - digital

Supplies for Students

fraction circle pieces: red, pink, yellow, blue, orange, aqua, green, purple
plastic bags to store fraction circle pieces, optional

Materials for Teachers

Unit 8 Assessment Record
Display set of fraction circle pieces

Assessment in this Lesson

Assessment Expectation Assessed

Using Circle Pieces
Questions 1–5
Student Guide
Pages 322–323
E1.
Represent fractions using area models (circle pieces, fraction strips, drawings) and number lines.

Using Circle Pieces
Check-In: Questions 14–19
Student Guide
Pages 325–326
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.

Using Circle Pieces
Check-In: Questions 33–34
Student Guide
Page 330
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.

Using Circle Pieces
Homework section
Student Guide
Pages 330–331
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).
E9.
Compare and order fractions using area models, number lines, and one-half as a benchmark.
E10.
Add and subtract fractions with like denominators using area models.