Name __________________________
L ea rn i n g Obj e cti v e
Today, we will represent1 decimal numbers as fractions.
1 show
CFU
What are we going to do today?
What does represent mean?
Acti va t e ( o r p r o vi de ) P ri o r K n o wl edg e
On O
esnO
esne O O
s n n
De D
es es
cimecDe
c
i
almaimDe De
Te T
nt enTe Pol PalcPimcim
hs thnt T Tin oi o a al
Hu H
s hsen etn nt inltP Po
H
ndun u
t
oi in
re drndH Hu ths hs
nt t
dt edreun n
d
h
d
Th T
s thsthdre re
ouhoTh
s dt dt
sausou T Th
hs hs
ndansaho ou
thdtndus sa
s hsthan n
s dt dt
hs hs
Use the place value chart to properly read the following decimal numbers.
Teacher
0
3
Student
0
7
Teacher
0
2
7
Student
0
2
5
Teacher
0
0
1
9
Student
0
0
6
3
CFU
Teacher reads a decimal number. Students read a decimal number.
Students, you already know how to use place value of numbers to read decimals.
Today, reading a decimal aloud will help you represent it as a fraction.
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Co n c e pt D ev el opm e n t
On O
es neOn
s es O O
De D
ne ne
cimecDe
s
cimD D s
i
m
a
Te T
l
e
nt enTe Poali Pael cPimcim
hs thnt nTtoino a al
Hu H
s hTsen en t inlt Po Po
ndunHu
th th
int int
re drnd H H
dt edreu un s s
hs thdnt d d
Th T
s hsredred
ouhoTh
t h t hs
sausou T T
s
ndansaho ho
th dtndus us
s hstha an
snd dt
t h hs
s
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading the decimal
number.
1
10
1
100
0
7
0
2
5
0
0
6
1
1,000
3
7
10
25
100
063
1,000
7 tenths
25 hundredths
63 thousandths
Same Amount
CFU
Use your knowledge of money to explain
why 0.50 is the same as ½.
Use your knowledge of money to explain
why 0.75 is the same as ¾.
0.25
is the
same as
25  1
100 4
$0.25 is the same as ¼ of a dollar.
In your own words, how are decimal numbers and fractions similar?
Decimal numbers and fractions are similar because _________.
In your own words, how are decimal numbers and fractions different?
Decimal numbers and fractions are different because _________.
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading
the decimal number.
Represent decimal numbers as fractions.
Step #1: Identify the digit in the lowest place value. (underline)
Step #2: Read the decimal number aloud.
Step #3: Write the decimal number as a fraction.
Step #4: Reduce the fraction to lowest terms, if needed.
1) What is the decimal 0.7 written as a
fraction?
Fraction form:
1
10
1
100
1
1, 000
2) What is the decimal 0.3 written as a
fraction?
Fraction form:
3) What is the decimal 0.59 written as a
fraction?
Fraction form:
4) What is the decimal 0.41 written as a
fraction?
Fraction form:
5) What is the decimal 0.331 written as a
fraction?
Fraction form:
On O
es neOn
s es O O
De D
ne ne
cimecDe
s s
c
i
almaimDe De
Te T
nt enTe Poli Pal cPimcim
hs thnt T Tntoino a a
Hu H
s hsen en t inlt P l Po
ndunHu
oi in
th th
n
nt t
re dr d H H
dt edreun un s s
hs thdt d d
Th T
r
s hsred ed
ouhoTh
th ths
sausou T T
s
ndansaho ho
th dtndus us
s hsthan an
s d dt
th hs
s
Ski l l Dev el o pm en t /G u i ded P ra cti c e
6) What is the decimal 0.113 written as a
fraction?
Fraction form:
CFU
(#3) How did I/you know how to write the decimal number as a fraction?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading
the decimal number.
Represent decimal numbers as fractions.
Step #1: Identify the digit in the lowest place value. (underline)
Step #2: Read the decimal number aloud.
Step #3: Write the decimal number as a fraction.
Step #4: Reduce the fraction to lowest terms, if needed.
7) What is the decimal 0.8 written as a
fraction?
Fraction form:
1
10
1
100
1
1, 000
8) What is the decimal 0.6 written as a
fraction?
Fraction form:
9) What is the decimal 0.25 written as a
fraction?
Fraction form:
On O
es neOn
s es O O
De D
ne ne
cimecDe
s s
c
i
almaimDe De
Te T
nt enTe Poli Pal cPimcim
hs thnt T Tntoino a a
Hu H
s hsen en t inlt P l Po
ndunHu
oi in
th th
n
nt t
re dr d H H
dt edreun un s s
hs thdt d d
Th T
r
s hsred ed
ouhoTh
th ths
sausou T T
s
ndansaho ho
th dtndus us
s hsthan an
s d dt
th hs
s
Ski l l Dev el o pm en t /G u i ded P ra cti c e ( c on t i n u ed)
10) What is the decimal 0.75 written as a
fraction?
Fraction form:
CFU
(#3) How did I/you know how to write the decimal number as a fraction?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Imp o rta n c e
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading the decimal
number.
1. Representing decimal numbers as fractions will help you understand how to
convert decimal numbers into a percent.
Convert the decimal number to a percent.
1.
0 48
ones
tenths hundredths
 48 = 48 %
100
2. Representing decimal numbers as fractions will help you understand the
meaning of decimal quantities.
William has 0.6 of a pound of carrots.
What is the fraction of a pound that he has?
3
0.6  of a pound of carrots
5
3. Representing decimal numbers as
fractions will help you do well on tests.
CFU
Does anyone else have another reason why it is important to represent decimal numbers as fractions?
(pair-share) Why is it important to represent decimal numbers as fractions? You may give me one of my
reasons or one of your own. Which reason is most important to you? Why?
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Concept Closure
On O
es neOn
s es O O
De D
ne ne
cimecDe
s s
c
i
almaimDe De
Te T
nt enTe Poli Pal cPimcim
hs thnt T Tntoino a a
Hu H
s hsen en t inlt P l Po
ndunHu
oi in
th th
nt t
re drnd H H
dt edreun un s s
hs thdt d d
Th T
r
s hsred ed
ouhoTh
th ths
sausou T T
s
ndansaho ho
th dtndus us
s hsthan an
s d dt
th hs
s
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading
the decimal number.
1
10
1
100
1
1, 000
Cassandra got two problems correct out of three.
Write a message to Cassandra about what she should have done
to get the correct answer.
Ski l l C l osu r e
Represent decimal numbers as fractions.
Step #1: Identify the digit in the lowest place value. (underline)
Step #2: Read the decimal number aloud.
Step #3: Write the decimal number as a fraction.
Step #4: Reduce the fraction to lowest terms, if needed.
1) What is the decimal 0.9 written as
a fraction?
Fraction form:
2) What is the decimal 0.13 written as
a fraction?
Fraction form:
Su mm ar y C l o su r e
What did you learn today about representing decimal numbers as fractions?
Day 1 ________________________________________________________________
_____________________________________________________________________
Day 2 ________________________________________________________________
_____________________________________________________________________
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading
the decimal number.
Represent decimal numbers as fractions.
Step #1: Identify the digit in the lowest place value. (underline)
Step #2: Read the decimal number aloud.
Step #3: Write the decimal number as a fraction.
Step #4: Reduce the fraction to lowest terms, if needed.
1) What is the decimal 0.1 written as a
fraction?
Fraction form:
Fraction form:
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
1
100
1
1, 000
2) What is the decimal 0.5 written as a
fraction?
4) What is the decimal 0.11 written as a
fraction?
Fraction form:
5) What is the decimal 0.457 written as a
fraction?
DataWORKS Educational Research
1
10
Fraction form:
3) What is the decimal 0.07 written as a
fraction?
Fraction form:
On O
es neOn
s es O O
De D
ne ne
cimecDe
s s
c
i
almaimDe De
Te T
nt enTe Poli Pal cPimcim
hs thnt T Tntoino a a
Hu H
s hsen en t inlt P l Po
ndunHu
oi in
th th
n
nt t
re dr d H H
dt edreun un s s
hs thdt d d
Th T
r
s hsred ed
ouhoTh
th ths
sausou T T
s
ndansaho ho
th dtndus us
s hsthan an
s d dt
th hs
s
Name ___________________
In d ep en d en t P ra cti c e
6) What is the decimal 0.239 written as a
fraction?
Fraction form:
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading
the decimal number.
Represent decimal numbers as fractions.
Step #1: Identify the digit in the lowest place value. (underline)
Step #2: Read the decimal number aloud.
Step #3: Write the decimal number as a fraction.
Step #4: Reduce the fraction to lowest terms, if needed.
7) What is the decimal 0.4 written as a
fraction?
Fraction form:
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
1
10
1
100
1
1, 000
8) What is the decimal 0.6 written as a
fraction?
Fraction form:
9) What is the decimal 0.15 written as a
fraction?
Fraction form:
On O
es neOn
s es O O
De D
ne ne
cimecDe
s s
c
i
almaimDe De
Te T
nt enTe Poli Pal cPimcim
hs thnt T Tntoino a a
Hu H
s hsen en t inlt P l Po
ndunHu
oi in
th th
n
nt t
re dr d H H
dt edreun un s s
hs thdt d d
Th T
r
s hsred ed
ouhoTh
th ths
sausou T T
s
ndansaho ho
th dtndus us
s hsthan an
s d dt
th hs
s
Name ___________________
In d ep en d en t P ra cti c e ( co n ti n u ed)
10)What is the decimal 0.36 written as a
fraction?
Fraction form:
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading
the decimal number.
Represent decimal numbers as fractions.
Step #1: Identify the digit in the lowest place value. (underline)
Step #2: Read the decimal number aloud.
Step #3: Write the decimal number as a fraction.
Step #4: Reduce the fraction to lowest terms, if needed.
1) What is the decimal 0.16 written as a
fraction?
Fraction form:
Fraction form:
Fraction form:
1
1, 000
2) What is the decimal 0.05 written as a
fraction?
4) What is the decimal 0.2 written as a
fraction?
6) What is the decimal 0.6 written as a
fraction?
Fraction form:
7) What is the decimal 0.319 written as a
fraction?
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
1
100
Fraction form:
5) What is the decimal 0.08 written as a
fraction?
DataWORKS Educational Research
1
10
Fraction form:
3) What is the decimal 0.147 written as a
fraction?
Fraction form:
On O
es neOn
s es O O
De D
ne ne
cimecDe
s s
c
i
almaimDe De
Te T
nt enTe Poli Pal cPimcim
hs thnt T Tntoino a a
Hu H
s hsen en t inlt P l Po
ndunHu
oi in
th th
n
nt t
re dr d H H
dt edreun un s s
hs thdt d d
Th T
r
s hsred ed
ouhoTh
th ths
sausou T T
s
ndansaho ho
th dtndus us
s hsthan an
s d dt
th hs
s
Name ___________________
P eri odi c R evi ew 1
8) What is the decimal 0.35 written as a
fraction?
Fraction form:
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading
the decimal number.
Represent decimal numbers as fractions.
Step #1: Identify the digit in the lowest place value. (underline)
Step #2: Read the decimal number aloud.
Step #3: Write the decimal number as a fraction.
Step #4: Reduce the fraction to lowest terms, if needed.
1) What is the decimal 0.29 written as a
fraction?
Fraction form:
Fraction form:
Fraction form:
1
1, 000
2) What is the decimal 0.3 written as a
fraction?
4) What is the decimal 0.173 written as a
fraction?
6) What is the decimal 0.24 written as a
fraction?
Fraction form:
7) What is the decimal 0.7 written as a
fraction?
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
1
100
Fraction form:
5) What is the decimal 0.45 written as a
fraction?
DataWORKS Educational Research
1
10
Fraction form:
3) What is the decimal 0.06 written as a
fraction?
Fraction form:
On O
es neOn
s es O O
De D
ne ne
cimecDe
s s
c
i
almaimDe De
Te T
nt enTe Poli Pal cPimcim
hs thnt T Tntoino a a
Hu H
s hsen en t inlt P l Po
ndunHu
oi in
th th
n
nt t
re dr d H H
dt edreun un s s
hs thdt d d
Th T
r
s hsred ed
ouhoTh
th ths
sausou T T
s
ndansaho ho
th dtndus us
s hsthan an
s d dt
th hs
s
Name ___________________
P eri odi c R evi ew 2
8) What is the decimal 0.37 written as a
fraction?
Fraction form:
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
A decimal number and a fraction both represent part of a whole.
• Decimal numbers and fractions can represent the same amount.
• Any decimal number can be changed into a fraction by properly reading
the decimal number.
Represent decimal numbers as fractions.
Step #1: Identify the digit in the lowest place value. (underline)
Step #2: Read the decimal number aloud.
Step #3: Write the fraction form of the decimal number.
Step #4: Reduce the fraction to lowest terms, if needed.
1) What is the decimal 0.15 written as a
fraction?
3) What is the decimal 0.13 written as a
fraction?
Fraction form:
Fraction form:
1
1, 000
2) What is the decimal 0.04 written as a
fraction?
4) What is the decimal 0.155 written as a
fraction?
6) What is the decimal 0.28 written as a
fraction?
Fraction form:
7) What is the decimal 0.3 written as a
fraction?
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
1
100
Fraction form:
5) What is the decimal 0.009 written as a
fraction?
DataWORKS Educational Research
1
10
Fraction form:
Fraction form:
Fraction form:
On O
es neOn
s es O O
De D
ne ne
cimecDe
s s
c
i
almaimDe De
Te T
nt enTe Poli Pal cPimcim
hs thnt T Tntoino a a
Hu H
s hsen en t inlt P l Po
ndunHu
oi in
th th
n
nt t
re dr d H H
dt edreun un s s
hs thdt d d
Th T
r
s hsred ed
ouhoTh
th ths
sausou T T
s
ndansaho ho
th dtndus us
s hsthan an
s d dt
th hs
s
Name ___________________
P eri odi c R evi ew 3
8) What is the decimal 0.8 written as a
fraction?
Fraction form:
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.
Blank Page
DataWORKS Educational Research
(800) 495-1550 • www.dataworks-ed.com
©2012 All rights reserved.
Comments? [email protected]
5th Grade Number Sense 1.2 (5Q)
Interpret percents as a part of a hundred; find decimal and percent equivalents
for common fractions and explain why they represent the same value; compute
a given percent of a whole number.
Lesson to be used by EDI-trained teachers only.