Supporting Materials
Getting to the Core of the Common Core:
Module 6: Decimal Fractions
Patricia Scavuzzo-Despagni, Ed.D.
Education Mathematics Curriculum Consulting (EMC2)
pscavu1@ pride.hofstra.edu
Name: _________________________________________________________
4.NF. 5
Date: ___________________________
Model Z is shaded to represent a value that is less than 1 whole.
Check all of the values below that are equivalent to shaded model.
___
30
100
Choose one of the letters you did not check. Explain why that fraction or
decimal is not equivalent to the shaded model above.
_____________________________________________________________________________________

___
3
10
_____________________________________________________________________________________
_____________________________________________________________________________________

___
0.03
_____________________________________________________________________________________
_____________________________________________________________________________________
0.30
_____________________________________________________________________________________
_____________________________________________________________________________________
___
3
100
_____________________________________________________________________________________
_____________________________________________________________________________________

 Elementary Mathematics Office • Howard County Public School System • 2013-2014
Name: ________________________________________________
Date: _____________
Select all equations that are true.
4
a. 10 = 0.04



17
b. 100 = 0.17
c.
9
= 0.09
100
6
d. 100 = 0.60

Name: ________________________________________________
Select all equations that are true.
4
a. 10 = 0.04




17
b. 100 = 0.17
c.
9
= 0.09
100
6
d. 100 = 0.60
 Elementary Mathematics Office • Howard County Public School System • 2013-2014
Date: _____________
Name:
Date:
4.NF.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.
Directions: Read each question. Select the answer.
1.
Which decimal represents the amount shaded on the
grid?
A
B
C
D
2.
A swimmer completed a lap in 28.76 seconds. What is his time in word form?
A
B
C
D
3.
5.8
5.80
5.08
5.18
Which number below is thirty-two and nine hundredths?
A
B
C
D
5.
Twenty-eight and seventy-sixth seconds
Twenty-eight and seventy-six hundredths seconds
Twenty-eight and seven hundred six seconds
Twenty-eight and seventy-six hundred seconds
Which choice represents the model to the right?
A
B
C
D
4.
0.34
0.43
0.75
0.57
3209
32.09
32.9
.3290
The chart shows the race times of 4 runners.
Which runner has a 9 in the tenths place of their time?
A
B
C
D
Roxy
Mandy
Jose
Li
Runner
Time
Roxy
94.25 seconds
Mandy
29.23 seconds
J ose
33.19 seconds
Li
30.90 seconds
Name: _________________________________________________________
4.NF.7
Date: ___________________________
Based on the two grids above, check all the equations that are true.
____________ 0.3 > 0.03
___________ 0.03 < 0.3
___________
__________ 0.03 = 0.3
0.3 < 0.03
____________ 3  3
10

100
__________
3
3

10 100

 Elementary Mathematics Office • Howard County Public School System • 2013-2014
Name: _________________________________________________________
4.NF.7
Place the two numbers to the right on the number line below.
Date: ___________________________
42. 5
42.0
42.35
43.0
Compare the two numbers on the line below using the symbols <, >, or =.
__________________________________________________________________
Explain your thinking on the lines below.
_________________________________________________________________________________________________________________
_________________________________________________________________________________________________________________
Name: _________________________________________________________
4.NF.7
Place the two numbers to the right on the number line below.
Date: ___________________________
42. 5
42.0
42.35
43.0
Compare the two numbers on the line below using the symbols <, >, or =.
__________________________________________________________________
Explain your thinking on the lines below.
_________________________________________________________________________________________________________________
_________________________________________________________________________________________________________________
 Elementary Mathematics Office • Howard County Public School System • 2013-2014
Name:
4.NF.7
Date:
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.
Directions: Read each question. Select the answer.
1.
2.
3.
4.
Which inequality is true?
A
17.034 > 17.340
B
22.403 > 22.199
C
38.189 > 38.307
D
44.772 > 49.127
Which set is in order from least to greatest?
A
11.89, 11.94, 11.58
B
11.58, 11.89, 11.94
C
D
11.94, 11.89, 11.58
11.58, 11.94, 11.89
Which inequality is true?
A
58.90 < 58.09
B
66.71 < 66.43
C
90.034 < 90.100
D
92.560 < 92.558
The chart shows the race times of 4 runners.
Which list is in order from least to greatest?
A
B
C
D
5.
Roxy, Mandy, Jose, Ming
Ming, Roxy, Mandy, Jose
Jose, Mandy, Roxy, Ming
Jose, Ming, Mandy, Roxy
Runner
Time
Roxy
32.255 seconds
Mandy
32.231 seconds
Jose
32.093 seconds
Ming
32.900 seconds
Runner
Time
Roxy
32.255 seconds
Mandy
32.231 seconds
Jose
32.093 seconds
Ming
32.900 seconds
The chart shows the race times of 4 runners.
Which runner’s time is the greatest?
A
B
C
D
Roxy
Mandy
Jose
Ming
Name: ___________________________________________________
4.NF. 6
Date: __________________
Check all the equations that are true. If the equation is not true, write the correct
sum in the box.
Check if
Correct
___________
___________
___________
Equation
Corrected Solution
2 tenths + 3 hundredths = 23 hundredth
5 hundredths + 5 tens = 10 hundredths
29 hundredths = 2 tenths + 9 hundredths
5 tenths + 22 hundredths = 27 hundredths
___________
90 hundredths = 9 hundredths
___________
Amy thinks 45 hundredths + 2 tenths is 47 hundredths. Do you agree or disagree
with her. Explain and/or use a model to prove your answer.
 Elementary Mathematics Office • Howard County Public School System • 2013-2014
Name: _________________________________________________________
4.NF. 5
Date: ___________________________
Check all the equations that are true. For those equations that are not
true, change the sum to make the equations true.
Check
Equation
___
70 2
90
 
100 10 100
___ 
7
2
9


10 100 100
___ 
7
2
27
 
100 10 100
___ 
70 2
72
 
100 10 100
___

Correct Sum
7 2
90
 
10 10 100

C
h
o
o
s
e
o
n
e
o
f
t
h
e
 Elementary Mathematics Office • Howard County Public School System • 2013-2014
l
e
t
t
Name: ___________________________________________________
4.NF. 6
Date: __________________
Check all the equations that are true. If the equation is not true, write the correct
sum in the box.
Check if
Correct
Equation
___________
___________

___________
___________
___________


Corrected Solution
9
2

 0.92
10 100
9
2

 0.92
100 100
70
0.50  0.2 
100
4
24

 0.28
100 100
60
 0.06
100

70
 0.7 .
100

Kim thinks
Do you agree or disagree with her. Explain and/or use a
model to prove your answer.

 Elementary Mathematics Office • Howard County Public School System • 2013-2014
Name: ________________________________________________
Which of the following expressions have a sum equal to
A.




6
31

10 100
7 19 2
b. 

10 100 10
c.
17
3 44
 
100 10 100
d.
33 28 4


100 100 10
e.
86 5

100 10
Date: _____________
91
?
100


Name: ________________________________________________
Which of the following expressions have a sum equal to
A.





6
31

10 100
7 19 2

b. 
10 100 10
c.
17
3 44
 
100 10 100
d.
33 28 4


100 100 10
e.
86 5

100 10
91
?
100

 Elementary Mathematics Office • Howard County Public School System • 2013-2014
Date: _____________