

Unit 4 Decimal
Fractions Grade 4 Math 

Unit Length and Description: 20 days In unit 4, students extend their
understanding of finding equivalent fractions to change fractions with a
denominator of 10 to a denominator of 100.
As students prepare for their initial work with decimal numbers, previous
experiences with building equivalent fractions should support their work of
changing tenths to hundredths. As they
connect fractions to decimal representations, students should realize that
decimal place value units are special fraction units: 0.7, 7 tenths, and are different representations for the same
number. During this unit, students extend
their work with whole number place value to include decimal places on the
place value chart. Students are
provided with many experiences to show concrete representations and numerical
representations of decimals, and read decimal numbers to hundredths. Students explore adding and
subtracting tenths plus hundredths using models and visual
representations. Fluency makes an
important role in this unit as students begin to add and subtract fractions
with unlike units, for example, 3 tenths + 4 hundredths = 30 hundredths + 4
hundredths. As students begin to
understand the relationship among decimals places, they use models and visual
representations to compare decimals that refer to the same whole. Finally, students apply their understanding
of decimal fractions to solve measurement word problems. 

Standards:


Enduring Understandings: ·
Fractions
can be expressed as decimals. ·
Decimals
can be represented visually and in written form. ·
Decimals
are a part of the base ten system. ·
Tenths
can be expressed using an equivalent fraction with a denominator of 100. · Comparisons of two decimals are only valid when the two decimals refer to the same whole. 
Essential Questions: ·
What
is a decimal fraction and how can it be represented? ·
How
are decimal numbers and decimal fractions related? ·
How
can I model decimals fractions using the baseten and place value system? ·
What
are the characteristics of a decimal fraction? ·
What
patterns occur on a number line made up of decimal fractions? ·
When
we compare two decimals, how do we know which has a greater value? 



4.NF.A.5 Express a fraction with denominator 10 as an equivalent
fraction with denominator 100, and use this technique to add two fractions
with respective denominators 10 and 100.
For example, express 3/10 as 30/100, and add 3/10 + 4/100 =
34/100. (Students who can generate
equivalent fractions can develop strategies for adding fractions with unlike
denominators in general. But addition
and subtraction with unlike denominators in general is not a requirement at
this grade.) Activities
and Resources ·
Equivalent Fractions with a Denominator of 100 Problems Tasks ·
Model Z Illustrative
Mathematics ·
How Many Tenths and Hundredths? ·
Expanded Fractions and Decimals ·
Adding Tenths and Hundredths Online
Resources Teachers please be aware that many
free online resources are supported by advertisements. Although they may be
excellent for use with students, we as educators are legally obligated to
make sure our students are not exposed to these advertisements. Please screen
all online resources before showing to students. If a game has a “full
screen” mode or requires that you begin the game to move past the ads, please
do so before allowing student access. ·
Thinking Blocks – Model and Solve Fraction Word Problems ·
Thinking Blocks – Modeling Tool ·
Decimal Number Bonds, Make 1 Illuminations LearnZillion ·
Express Fractions with a Denominator of 10 as Equivalent to Fractions
with Denominators of 100 ·
Express a Fraction with Denominator 10 as an Equivalent Fraction with
Denominator 100 ·
Convert Between Fractions and Decimals ·
Comparing Decimal Fractions and Understanding Notation (Unit) * Contain
standards from more than one domain 4.NF.A.6 Use decimal notation for fractions with denominators 10 or
100. For example, rewrite 0.62 as
62/100; describe a length as 0.62 meters; locate 0.62 on a number line
diagram. Activities
and Resources ·
Decimals: Hundredths Grids 1 ·
Decimals: Hundredths Grids 2 Tasks ·
Show What You Know:
Multiple Representations of Decimals and Fractions ·
Expanding Decimals with Money Illustrative
Mathematics ·
How Many Tenths and Hundredths? ·
Expanded Fractions and Decimals Online
Resources Teachers please be aware that many
free online resources are supported by advertisements. Although they may be
excellent for use with students, we as educators are legally obligated to
make sure our students are not exposed to these advertisements. Please screen
all online resources before showing to students. If a game has a “full
screen” mode or requires that you begin the game to move past the ads, please
do so before allowing student access. o Thinking Blocks – Model and Solve Fraction Word Problems o Thinking Blocks – Modeling Tool o Place Value Number Line (choose decimal
place) Gizmos ·
Modeling Decimals (Area and Grid Models) ·
Treasure Hunter (Decimals on the Number Line) Illuminations ·
What’s the (Decimal) Point?:
Using Models to Understand Decimal Place Value LearnZillion ·
Use
Decimal Notation for Fractions with Denominators 10 or 100 Convert
Between Fractions and Decimals 4.NF.B.7 Compare two decimals to hundredths
by reasoning about their size.
Recognize that comparisons are valid only when the two decimals refer
to the same whole. Record the results of
comparisons with the symbols >, =, or <, and justify the conclusions,
e.g., by using a visual model. Activities
and Resources ·
Decimal Squares Tasks llustrative Mathematics Online
Resources Teachers please be aware that many
free online resources are supported by advertisements. Although they may be
excellent for use with students, we as educators are legally obligated to
make sure our students are not exposed to these advertisements. Please screen
all online resources before showing to students. If a game has a “full
screen” mode or requires that you begin the game to move past the ads, please
do so before allowing student access. LearnZillion ·
Compare Two Decimals to Hundredths 4.MD.A.2 Use the four
operations to solve word problems involving distances, intervals of time,
liquid volumes, masses of objects, and money, including problems involving
simple fractions or decimals, and problems that require expressing measurements
given in a larger unit in terms of a smaller unit. Represent measurement
quantities using diagrams such as number line diagrams that feature a
measurement scale. Activities
and Resources ·
Meter Stick Compare Fractions Online
Resources Teachers please be aware that many
free online resources are supported by advertisements. Although they may be
excellent for use with students, we as educators are legally obligated to
make sure our students are not exposed to these advertisements. Please screen
all online resources before showing to students. If a game has a “full
screen” mode or requires that you begin the game to move past the ads, please
do so before allowing student access. ·
Thinking Blocks – Modeling Tool LearnZillion ·
Represent
Fractional Distance Measurement Quantities Using Diagrams ·
Represent
Quantities of Money by Using Diagrams ·
Convert
Larger Units to Smaller Units in Money Problems 