Math
Spring Operational 2015
Grade 4
PBA Item #12
Adding Mixed Numbers
M02080
Prompt
Rubric
Task is worth a total of 3 points.
M02080 Rubric
Score Description
3
Student response includes the following 3 elements.
•
Reasoning component = 2 points
o Valid explanation of errors in work shown
o Correct work shown or valid explanation given for finding
correct solution
•
Computation component = 1 point
o Correct solution,
(or equivalent)
Sample Student Response:
The fractions are incorrectly added. The student should not add
together the values in the denominator.
The correct way to do this problem is:
13 + 23 = 4 + 3 + 8 + 3
4
2
1
0
4
4
4
4
= 4+3+8+3
4
= 18
4
4
Or equivalent appropriate work or explanation.
Student response includes 2 of the 3 elements.
Student response includes 1 of the 3 elements.
Student response is incorrect or irrelevant.
Anchor Set
A1 – A8
A1
Score Point: 3
Annotations
Anchor Paper 1
Score Point 3
This response receives full credit. The response includes each of the three required
elements:
•
•
•
The response provides a valid explanation of the errors in the work shown (she added
the denominators).
or equivalent ( 4 24 ).
The response provides a correct solution of 18
4
The response shows correct work or provides a valid explanation for finding a correct
solution (The correct answer would be 1 34 + 2 34 = 44 + 34 + 84 + 34 = 4 24 ).
A2
Score Point: 3
Annotations
Anchor Paper 2
Score Point 3
This response receives full credit. The response includes each of the three required
elements:
•
The response provides a valid explanation of the errors in the work shown (The error
was that he can’t just add the denominators, they have to stay as the same
denominator of the addends).
•
The response provides a correct solution of
•
18
4
or equivalent ( 18
)
4
The response shows correct work or provides a valid explanation for finding a correct
solution ( 1 34 + 2 34
=
4 3 8 3 4 + 3 + 8 + 3 18
+ + + =
=
4 4 4 4 4+4+4+4
4
)
A3
Score Point: 2
Annotations
Anchor Paper 3
Score Point 2
This response receives partial credit. The response includes two of the three required
elements:
•
The response provides a valid explanation of the errors in the work shown (you do not
add the common denominators).
•
The response provides a correct solution of
18
4
or equivalent ( 18
).
4
The response does not show correct work or provide a valid explanation for finding a correct
solution.
A4
Score Point: 2
Annotations
Anchor Paper 4
Score Point 2
This response receives partial credit. The response includes two of the three required
elements:
18
4
or equivalent ( 4 42 )
•
The response provides a correct solution of
•
The response shows correct work or provides a valid explanation for finding a correct
solution ( 34 + 34 = 64 ,then 1 + 2 = 3, then 3 +
6
4
=3
6
4
=
4
2
4
).
The response attempts to explain the errors in the work shown (The work is not the best
way to show the answer) but it is not clear enough to express that the values in the
denominator should not be added together.
A5
Score Point: 1
Annotations
Anchor Paper 5
Score Point 1
This response receives partial credit. The response includes one of the three required
elements:
•
The response provides a valid explanation of the errors in the work shown (they added
the denominators when you are only supposed to add the numerators).
The response does not provide a correct solution of
18
4
or equivalent.
The response does not show correct work or provide a valid explanation for finding a correct
solution.
A6
Score Point: 1
Annotations
Anchor Paper 6
Score Point 1
This response receives partial credit. The response includes one of the three required
elements:
•
The response provides a correct solution of
18
4
or equivalent ( 4 42 )
The response does not provide a valid explanation of the errors in the work shown.
The response does not show correct work or provide a valid explanation for finding a correct
solution. The work shown ( 1 34 + 2 34 = 4 42 ) does not include intermediary work, which is
required to show how the correct solution was found.
A7
Score Point: 0
Annotations
Anchor Paper 7
Score Point 0
This response receives no credit. The response includes none of the three required elements:
The response does not provide a valid explanation of the errors in the work shown.
The response does not provide a correct solution of
18
4
or equivalent ( 3 68 )
The response does not show correct work or provide a valid explanation for finding a correct
solution.
A8
Score Point: 0
Annotations
Anchor Paper 8
Score Point 0
This response receives no credit. The response includes none of the three required elements:
The response attempts to explain the errors in the work shown but it is too vague to receive
)
credit (you cant do 18
16
2
)
The response does not provide a correct solution ( 1 16
The response does not show correct work or provide a valid explanation for finding a correct
solution.
Practice Set
P101 - P105
P101
P102
P103
P104
P105
Practice Set
Paper
Score
P101
2
P102
1
P103
3
P104
2
P105
0