Unit Fraction

Write an equation that matches the tape diagram.

18

x

x

x

Day 3

Write an equation that matches the tape diagram.

18

x

x

x

Day 3

Answer: 18 ÷ 3 = x

Student’s Turn: Identify the value of a digit

The Number: 30,140

The value of the digit 4 is (expanded notation) or (expanded form)

Day 3

The value of the digit ______ is

Lesson Objective

Demonstration of

Learning

I am learning to how to explain the
meaning of a unit fraction and compose
and decompose fractions into unit fractions.

3.3C and 3.3D

Given 3 problems, I will explain the
meaning of a unit fraction and compose
and decompose fractions into unit fractions
with 100% accuracy.

Academic Vocabulary

Representing Fractions

● compose
● decompose
● denominator
● equal parts
● fraction bar
● numerator
● part
● set

● strip diagram
● unit fraction
● whole unit

Unit Fractions

Draw and label each model with a unit fraction.

Draw the set of triangles and write an equation to represent the
shaded triangle as a sum of unit fractions.

Journal

Multiple Choice

$$I\ DO\$$

Models of fraction strips H and J are shown.

Model H Model J

Which statement about the models is true?

• The total number of equal parts in Model H is 6 so ⅙ of the model is shaded.

• Model H and Model J represent the same unit fraction, ⅙.

• The total number of parts in Model J is 6 so ⅙ of the model is shaded.

• The models cannot be compared because the whole units are different sizes.

Multiple Choice

$$WE\ \ DO$$

Models Y and X are shown.

Which statement about the models is true?

• Model Y shows four parts so ¼ of the whole circle is shaded.

• Model Y and Model X both show ¼ of the whole circle shaded.

• The shaded part of Model X is ⅓  because the sections are the same size.

• There are four equal parts in Model X so ¼ of the whole is shaded.

Fill in the Blank

$$I\ \ DO$$

Bijou drew a collection of apples. 

How can the unshaded apples in the collection be represented as a sum of unit fractions?

Fill in the Blank

$$WE\ \ DO$$

The puppies shown are from the same litter. They are offered for adoption by a dog rescue organization.

How can the white puppies from the litter be represented as a sum of unit fractions?

Y’all Do

The students labeled the shaded sections with the same fraction.

●

Can the same fraction represent both of the shaded sections?
Why or why not?

●

Which rectangle is a model of a unit fraction? What is the unit
fraction?

Two students each drew a rectangle. They divided each
rectangle into three parts and shaded a section as shown.

A B

Closure

●

What is a unit fraction?

●

Can all fractions be represented
with unit fractions? Why or why
not?

●

How can the model shown be
decomposed into unit fractions?