Math
Spring Operational 2015
Grade 3
PBA Item #13
Carpet and Walkways
M00553
Prompt
Rubric
Task is worth a total of 4 points.
M00553 Rubric
Score Description
4
Student response includes the following 4 elements.
 Reasoning component = 4 points
o The area of the carpet with supporting work
o The area of Walkway A with supporting work
o The area of Walkway B with supporting work
o The total area with supporting work
Sample Student Response:
The area of the carpet is 9 x 7 = 63 square feet.
The area of Walkway A is 3 x 7 = 21 square feet.
The area of Walkway B is 3 x 12 = 36 square feet.
When you add them together to get the area of both tile
walkways and the carpet, you get 120 square feet because
63 + 21 + 36 = 120 (or similar explanation).
Note: When labels are not presented, the elements are scored in the
same order as the prompt. The carpet is addressed first, the
walkways next (in either order), and the total last.
3
2
1
0
Student
Student
Student
Student
response
response
response
response
includes 3 of the 4 elements.
includes 2 of the 4 elements.
includes 1 of the 4 elements.
is incorrect or irrelevant.
Anchor Set
A1 – A10
A1
Score Point 4
Annotations
Anchor Paper 1
Score Point 4
This response receives full credit. The response includes each of the four
required elements.

The student provides the area of the carpet with supporting work
(7 x 9 = 63 carpet).

The area of Walkway A with supporting work (7 x 3 = 21 tile walkway
A).

The student provides the area of Walkway B with supporting work
(3 x 12 = 36 tile walkway B).

The student provides the total area of the living room with supporting
work (63 + 21 + 36 = 120).
The student must provide the correct area and the supporting work to receive
credit for each of the elements. The student is permitted to provide the value
for the area in the work.
The student is not required to label the unit of measurement [square feet] to
receive credit.
A2
Score Point 4
Annotations
Anchor Paper 2
Score Point 4
This response receives full credit. The response includes each of the four required elements.

The student provides the area of the carpet (area of the carpet is 63) with supporting
work (7 x 9 = 63).

The student provides the area of Walkway A (area of tile walkway A is 21) with
supporting work (7 x 3 = 21).

The student provides the area of Walkway B (area of tile walkway B is 36) with
supporting work (12 x 3 = 36).

The student provides the total area (total area of everything is 120) with supporting
work (63 + 36 + 21 = 120).
The student must provide the correct area and the supporting work to receive credit for
each of the elements.
The student is not required to label the unit of measurement [square feet] to receive credit.
A3
Score Point 3
Annotations
Anchor Paper 3
Score Point 3
This response receives partial credit. The response includes 3 of the 4 required elements.

The student provides the area of the carpet (Carpet = 63) with supporting work
(7 x 9 = 63). The supporting work, which calculates the width of the carpet (7 + 2 =
9), is not required to receive credit for this element.

The student provides the area of Walkway A (Tile A = 21) with supporting work
(7 x 3 = 21).

The student provides the area of Walkway B (Tile B = 36) with supporting work
((10 x 3) + (2 x 3), 30 + 6 = 36). The student converted the width of 12 into correct
factors (10 and 2), multiplied both by the length of 3, and added the results together
for the total area. This is an acceptable method of multiplication.
The response does not provide a total area.
The student is not required to label the unit of measurement [square feet] to receive credit.
A4
Score Point 3
Annotations
Anchor Paper 4
Score Point 3
This response receives partial credit. The response includes 3 of the 4 required elements.

The student provides the area of the carpet with supporting work (7 x 9 = 63).

The student provides the area of Walkway A with supporting work (7 x 3 = 21).

The student provides the total area of the living room with supporting work
(10 x 12 = 120). Instead of adding the areas of the parts of the room, the student
calculates the area of the entire room. This is an acceptable strategy.
The response provides an incorrect area of Walkway B (9 x 3 = 27).
Note: The student has not identified which element is being addressed for any of the
responses [carpet, Walkway A, Walkway B, total]. Since the responses are provided in the
same order as the item, it is clear which part of the item is being addressed for each
element.
The student is not required to label the unit of measurement [square feet] to receive credit.
A5
Score Point 2
Annotations
Anchor Paper 5
Score Point 2
This response receives partial credit. The response includes 2 of the 4 required elements.

The student provides the area of the carpet with supporting work (9 x 7 = 63).

The student provides the area of Walkway B with supporting work (3 x 12 = 36).
The response does not provide an area for Walkway A and does not provide the total area.
Note: When the student has not identified which part of the item is being addressed, the
responses are scored in the order provided in the item. In this case, the first equation
addresses the carpet, and the second equation addresses one of the walkways. Since the
area of Walkway A is not provided, the second equation addresses Walkway B.
The student is not required to label the unit of measurement [square feet] to receive credit.
A6
Score Point 2
Annotations
Anchor Paper 6
Score Point 2
This response receives partial credit. The response includes 2 of the 4 required elements.

The student provides the area of the carpet with supporting work (7 x 9 = 63).

The student provides the area of Walkway B with supporting work (12 x 3 = 36).
The response provides an incorrect area for Walkway A (10 x 3 = 30) and does not provide a
total.
The student is not required to label the unit of measurement [square feet] to receive credit.
A7
Score Point 1
Annotations
Anchor Paper 7
Score Point 1
This response receives partial credit. The response includes 1 of the 4 required elements.

The student provides the area of Walkway A with supporting work (7 x 3 = 21).
The response provides incorrect areas for the carpet (7 x 3 = 21) and Walkway B
(3 x 3 = 9). The response provides an incorrect total area of the living room
(7 x 3 x 3 = 27), which does not use the areas provided for the carpet and walkways in the
previous steps and does not add the areas together.
The student is not required to label the unit of measurement [square feet] to receive credit.
A8
Score Point 1
Annotations
Anchor Paper 8
Score Point 1
This response receives partial credit. The response includes 1 of the 4 required elements.

The student provides the area of Walkway A with supporting work (7 x 3 = 21).
The response does not provide an area for the carpet, provides an incorrect area for
Walkway B (7 x 6 = 42), and does not provide a total.
The student is not required to label the unit of measurement [square feet] to receive credit.
A9
Score Point 0
Annotations
Anchor Paper 9
Score Point 0
This response receives no credit. It does not include any of the required elements.
The response does not provide the area of the carpet.
Even though the response includes the correct areas for Walkway A (21) and Walkway B
(36), it does not include the supporting work required to obtain credit. The response must
provide the area and the supporting work to receive credit for each of the elements.
It provides an incorrect total area, which does not include the carpet (21 + 36 = 57 tiles).
A10
Score Point 0
Annotations
Anchor Paper 10
Score Point 0
This response receives no credit. It provides none of the required elements.
The response provides an incorrect area for the carpet (The area of the carpet is— 7 ft.), an
incorrect area for Walkway A (Tile walkway A is— 3 ft), and an incorrect area for Walkway B
(Tile walkway B is— 3 ft). It does not provide a total.
Practice Set
P101 - P105
P101
P102
P103
P104
P105
Practice Set
Paper
Score
P101
2
P102
4
P103
1
P104
3
P105
1