Math
Spring Operational 2015
Grade 3
PBA Item #12
Porch Measurements
0158-M00816
Prompt
Rubric
Task is worth a total of 3 points.
0158-M00816 Rubric Part A
Score Description
1
Student response includes the following element.
• Computation component = 1 point
o Machine Scorable: 42
0
Student response is incorrect or irrelevant.
0158-M00816 Rubric Part B
Score Description
2
Student response includes the following 2 elements.
• Reasoning component = 1 point
o Valid explanation of how to find the total area of the
porch or valid work for finding the total area
•
Computation component = 1 point
o Correct total area, 96
Sample Student Response:
I would find the area of each of the two sections of the porch, and
then I would add them together.
6 × 7 =
42
9 × 6 =
54
42 + 54 =
96
The total area of the porch is 96 square feet.
1
0
Student response includes 1 of the 2 elements.
Student response is incorrect or irrelevant.
Anchor Set
A1 – A6
A1
Part B: Score Point 2
Annotations
Anchor Paper 1
Part B Score Point 2
This response receives full credit. It includes each of the two required elements.
•
The student correctly shows work for finding the total area of the porch
(6 x 7 = 42 and 6 X 9 = 54, so 42 + 54 = 96). The work shows that the side lengths
of each rectangle are multiplied to calculate each area and that the two calculated
areas are added together to determine the total area of the porch.
•
The correct total area is given (96 square feet).
.
To obtain full credit, the response must provide the correct total area, and the work or
explanation must show that 1) the side lengths of each rectangle are multiplied to calculate
each area and 2) the two calculated areas are added together to determine the total area of
the porch.
A2
Part B: Score Point 2
Annotations
Anchor Paper 2
Part B Score Point 2
This response receives full credit. It includes each of the two required elements.
•
The student correctly shows work for finding the total area of the porch
(6 X 7 + 6 X 9 = 96). Although the areas of each part of the porch are not provided,
the work showing how the areas would be determined is sufficient to explain how to
find the total square feet.
•
The correct total area is given (96).
To obtain full credit, the response must provide the correct total area, and the work or
explanation must show that 1) the side lengths of each rectangle are multiplied to calculate
each area and 2) the two calculated areas are added together to determine the total area of
the porch. This response combines both these steps in one equation.
A3
Part B: Score Point 1
Annotations
Anchor Paper 3
Part B Score Point 1
This response receives partial credit. It includes one of the required elements.
•
The student correctly explains how to find the total area of the porch by providing two
values that are added together (I figured that out by adding 42 + 44). The second
porch area provided is incorrect (44), but that does not detract from explaining how a
total area could be found.
The student shows that the two areas must be added to find the total area but provides an
incorrect area for the new section of the porch, which leads to an incorrect total area (86).
A4
Part B: Score Point 1
Annotations
Anchor Paper 4
Part B Score Point 1
This response receives partial credit. It includes one of the required elements.
•
The correct total area is given (96).
The student does not explain or show work for finding the total area of the porch.
A5
Part B: Score Point 0
Annotations
Anchor Paper 5
Part B Score Point 0
This response receives no credit. It does not include any of the required elements.
The response provides an incorrect strategy of adding the side lengths (9 + 7 + 6 + 6 = 28)
in an attempt to find the total area; no attempt is made to find the individual areas of the
given shapes. An incorrect total area is provided (28).
A6
Part B: Score Point 0
Annotations
Anchor Paper 6
Part B Score Point 0
This response receives no credit. It does not include any of the required elements.
The response provides an incorrect strategy for finding the total area. The math work shown
is vague (6 + 7 + 6 + 9 = 28; 26 + 28 = 54; 54 ÷ 28 = 26). An incorrect total area is
given (26).
Practice Set
P101 - P105
P101
P102
P103
P104
P105
Practice Set
Paper
Score
P101
2
P102
1
P103
2
P104
0
P105
1