Resource Overview Model the division of sets into two, three or four equal parts (fair shares). (QT‐N‐38) Skill or Concept: Represent fractions concretely and symbolically. (QT‐N‐114) Excerpted from: Conceptua Math 625 Second Street, #205, Petaluma, CA 94952 www.conceptuamath.com © Conceptua Math, LLC This resource may be available in other Quantile utilities. For full access to these free utilities, visit www.quantiles.com/tools.aspx.
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Sample Lesson Plan: Identifying Fractions
Unit of Study
Grade Level
NCTM Standards
Standards and Key Concepts
Fractions: Introduction to part/whole relationship
2-3
Understand numbers, ways of representing numbers, relationships among
numbers, and number systems.
x Develop an understanding of fractions as parts of unit wholes, as
parts of a collection, as locations on a number line, and as divisions
of whole numbers.
Big Idea
Fractions can be modeled
IEP Objectives
Given a fraction verbally, the student will create a model showing equal
parts (denominator) and the selected parts (numerator) with 80% accuracy
for three consecutive sessions.
Lesson Outcomes
Preparation:
1. Students will explain and model how fractions consist of equal parts
of a whole.
2. Students will divide models into equal parts and represent unit
fractions.
3. Students identify the number of equal parts in a whole and a unit
fraction represented in models.
Obtain a copy of either of the follow books:
How Many Ways Can You Cut a Pie by Jane Belk
Gator Pie by Louise Mathews
List the vocabulary words and definitions on the board or chart paper
Review the How to use the Identify Fractions tool video at
http://www.conceptuamath.com/fractions.html#IdentifyingFractions
Set up the Identify Fractions Tool:
Click the Hide/Show fraction button to hide the fraction number.
Select the pie model.
Overview:
This lesson plan introduces students to the basic concept of “fair shares” or dividing wholes into equal
parts. It introduces basic vocabulary related to a “real life” problem in which a whole is divided
equally to be shared. It is designed for use with the Free Tool from Conceptua Math for whole group
teacher facilitated instruction and with the premium tools from Conceptua Math for independent
practice and assessment.
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Sample Lesson Plan: Identifying Fractions
Activating Strategy
Advanced Organizer
Demonstrate
Model
Teacher Facilitation
Lesson Implementation
Introduce the book informing students that they will learn that fractions are a
way to describe how a whole can be divided into parts. In the story you will
learn how fractions can help the main character(s) share fairly.
Read the selected book aloud reinforcing the part/whole relationships
presented and the fact that as the pie is divided into more pieces, each piece
becomes smaller.
1. After reading the book, reinforce the vocabulary by linking the words
to concepts presented in the book. For example, be sure to point out
that the whole shown in the book is the whole pie and that in order for
the pie to be shared fairly each time the pie is divided it needs to be
divided equally so that each person (in this case animal) has the
same amount.
2. Model using the Indentifying Fractions tool how to divide a “pie” into
equal parts and have students name equal parts, halves, thirds,
fourths, fifths, sixths and eighths.
3. Show each fraction modeled in step 2 again. Introduce the concept of
unit fractions by asking how much of the whole each “animal” would
receive, shade in that part.
Vocabulary
Equal - The same amount or size
Fraction- equal part of the whole
Whole - The entire object.
Part - A part of a whole object or set
Guided Practice
Provide students with fraction circle manipulatives (bought or teacher made)
Have students select the circle that represents the amount provided by the
teacher. For example: find the circle that is divided into 6 equal parts.” Then
have students show and state the fraction name for unit fraction for each part.
If using an interactive white board, have students come up and use the
sliders and arrows to crate each unit fraction. Students do a “thumbs up” to
indicate if their model is correct.
Ask students if they think fractions are only used when working with Pies or
circles. Guide them through creating equal parts and unit fractions using
each of the other models.
Independent Practice
Assign students Theme 1 Topic 1 Activities to work on independently
Check for
Understanding
It is important that students be encouraged to discuss what they know about
fractions as they work independently. Ask questions to elicit responses that
require the use of the new vocabulary. Asking how do you know and why
questions can facilitate thinking more critically about fractions as they work
independently in the Conceptua Math student activities.
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Sample Lesson Plan: Identifying Fractions
Summarizing Strategy
Closure
Display one fraction using the Free Identifying Tool from Conceptua Math.
Have students state what they know about he model. List responses.
(For example: It is a ___ model. It has ___ parts. The parts are equal. One
part is called ___)
Assessment
Formative: Students write in their math journals describing what would
happen if squirrel had to share his pie with one more friend. How would they
share a pie with that many friends? How they know their method is fair?
What happens to the size of their pieces? Encourage them to include
drawings and use at least 2 of the new vocabulary words.
Summative: Review the Topic 1 Student performance data
Adaptations
Be sure accessibility features of the student activities are activated for
students who require supports to manipulate the models using alternate
methods.
Extending and
Refining
This lesson format can be used with a variety of children’s’ books that
emphasize the concept of equal shares. Books such as The Doorbell Rang
by Pat Hutchins can be used to reinforce equal shares using sets.
Follow-up lessons would introduce the fraction number by linking the model
to the fraction number and making the number visible.
This leads students into activities within Topic 2
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