Math Grade 4 Unit 5
Fractions and Decimals
“I Can” Help My Student
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I can express a fraction with denominator 10 as an equivalent
fraction with a denominator 100 (NF.5)
I can write decimal fractions with denominators of 10 and 100
as using decimal notation (NF.6)
I can locate decimals to hundredths on a number line (NF.6)
I can add two fractions with the respective denominators 10
and 100 (NF.5)
I can compare two decimals to hundredths (NF.7)
I can explain the reasoning for decimal comparisons and
express their relationship using the symbols, >, <, or = (NF.7)
I can justify comparisons using visual models (NF.7)
Key Words to Know
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Fraction: A number used to name a part of a group or a part of
a whole.
Denominator: The bottom portion of a fraction that tells the
number of equal parts need for a whole.
Numerator: The top portion of a fraction explaining the
number of parts being considered.
Decimal: A number that uses place value and a decimal point
to show values less than one, such as tenths, hundredths, and
so on.
Decimal point: A period used
in decimal numbers to
separate the whole number
part from the decimal part.
Equivalent decimals: two or
more decimals (or fractions) that name the same amount.
Tenths: 2 place values to the right of a decimal point.
Hundredths: 3 place values to the right of a decimal point.
Parent Guide
What your student should know & do at home
Important Understandings and Concepts
What should my student already know before I begin…
• Able to find equivalent fractions
and represent them using models.
• Able to locate fractions and their
equivalents on a number line.
• Able to compare whole numbers according to their
place value.
• Able to explain their reasoning for whole number
comparisons.
Learning at a Glance
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Students will represent values such as 0.32 or
32/100 on a number line. 32/100 is more
than 30/100 (or 3/10) and less than 40/100
(or 4/10). It is closer to 30/100 so it would be
placed on the number line near that value.
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Students will to make
connections between
fractions and decimals. They
should be able to write
decimals for fractions with
denominators of 10 or 100.
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Students should be able to express decimals to the hundredths as the sum of two
decimals or fractions.
Math Grade 4 Unit 5
Fractions and Decimals
Parent Guide
What your student should know & do at home
Sample Problems
How Can You Help Your Student?
1) Ron says 0.17 is greater than 0.4. Kym says Ron is wrong. Who is
right? Justify your answer with written explanation and a visual
model.
Kym is correct. Ron is wrong to say that 0.17 is
greater than 0.4. When I think of 0.17, I think
of the fraction 17/100. The decimal 0.4
represents 4/10, or 40/100. I know that 40/100
is more than 17/100, so 0.4 is more than 0.17.
A possible visual model could look like the one
shown on the left.
Interactive Learning Lessons
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http://www.freewebs.com/weddell/fractions-decimals%202%20bars.swf: This
website connects fractions to their decimal representation, using both pictures and
numbers.
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http://www.ixl.com/math/grade-3/convert-between-decimals-and-fractions:
Interactive practice converting between decimals and mixed numbers.
LearnZillion websites with interactive lessons:
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Adding Fractions with Denominators of 10 and 100:
https://learnzillion.com/lessons/351-add-fractions-with-tenths-and-hundredthsdenominators
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Create Equivalent Fractions with a Grid Model:
https://learnzillion.com/lessons/2970-generate-equivalent-fractions-using-a-gridmodel
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http://www.decimalsquares.com/dsGames/games/beatclock.html: Students get to
race against time or a partner writing the correct decimal for a given model. (One
whole is represented by a large square divided into 100 small squares.) For fourth
grade, choose “beginner” when playing this game.
http://www.decimalsquares.com/dsGames/games/concentration.html: Students
play a concentration game matching decimal numbers in the tenths (in red) with
decimal numbers in the hundredths (in red).
Playing games is a wonderful way to practice skills at home in a fun environment.
Stack-n-Pack books contain several math games covering math concepts from
Kindergarten through High School. Stack-n-Pack card games may be checked out
from your school (contact your school’s Parent Liaison) or purchased online: Stackn-Pack Mathematics Card Games for K-HS .
Stack-n-Pack Grades 3 – 5: Multiplication Facts Game
2) Decimal Sort
Interactive Learning Games
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Recommended Children’s Literature
If You Were a Fraction
Full House: Invitation to Fractions
By: Dayle Dodds
By: Trisha Shaskan
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