PBA - Sample Student Resources - Item 11

Math
Spring Operational 2015
Grade 7
PBA Item #11
Earnings for Monday
VF650458
Task is worth a total of 3 points.
VF650458 Rubric
Score
3
Description
Student response includes the following 3 elements.

Computation component = 1 point+
o

Correctly calculates how much money was earned on Monday:
$158
Modeling component = 2 points
o
Correctly models a process for determining the total number
of hours worked
Note: It is not necessary to show the total hours of 9.25 if the
two correct subtotals are given.
o
Correctly models a process for determining the total dollar
amount earned, including overtime
Sample Student Response
Rita worked from 8:15 a.m. to 12:45 p.m., or 4½ hours before lunch.
She worked from 1:30 p.m. to 6:15 p.m., or 4¾ hours after lunch.
The total time Rita worked on Monday was 4½ + 4¾ = 9¼ hours.
Rita worked 1¼ hours beyond 8 hours, so she is paid overtime for that
time. Rita is paid $16 per hour for the first 8 hours she worked and
$161½  = $24 per hour for the 1¼ overtime hours she worked.
The total dollar amount she earned on Monday is
$16 (8) + $24(1¼) = $128 + $30 = $158.
Notes:
o The student may receive a total of 2 modeling points if the modeling
processes are correct but the student makes one or two
computational errors resulting in an incorrect answer.
2
The student may receive a total of 1 modeling point if the modeling
processes are correct but the student makes more than two
computational errors resulting in an incorrect answer.
Student response includes 2 of the 3 elements.
1
Student response includes 1 of the 3 elements.
0
Student response is incorrect or irrelevant.
o
Anchor Set
A1 – A8
A1
Score Point 3
Annotations
Anchor Paper 1
Score Point 3
This response receives full credit. The student includes each of the three required elements:

The response provides the correct calculation of how much money Rita earned for the
time she worked on Monday ($158.00).

The response provides a correct process for determining the total number of hours
worked. (8:15 AM – 12:45 pm = work = 4 ½ hours, 12:45 – 1:30 = lunch = 45 min,
1:30 – 6:15 = work = 4 h 45 min, 9 hours 15 min).

The response provides a correct process for determining the total dollar amount
earned, including overtime (8 X 16 = $128, $128 + 24 + 6 = $158).
A2
Score Point 3
Annotations
Anchor Paper 2
Score Point 3
This response receives full credit. The student includes each of the three required elements:

The response provides a correct calculation of how much money Rita earned for the
time she worked on Monday ($158).

The response provides a correct process for determining the total number of hours
worked (8:15 to 12:45 = 4 ½ hours, 1:30 to 6:15 = 4 ¾ hours).

The response provides a correct process for determining the total dollar amount
earned, including overtime (8 × 16 = $128, $ 16/2 = 8, $8 + $16 = $24, (11/4) × 24 =
$30, $128 + $30 = $158).
A3
Score Point 2
Annotations
Anchor Paper 3
Score Point 2
This response receives partial credit. The student includes two of the three required
elements:

The response provides a correct process for determining the total number of hours
worked, with a calculation error (I went from 8:15am to 12:45pm and got 5 hours and
30 minutes…..and I figured that it was at 1:30 when she finished her break. Then she
worked until 6:15pm which was another 4 hours and 45 minutes. After adding the
time up I got a total 10 hours -15 minutes.).

The response provides a correct process for determining the total dollar amount
earned, including overtime, and follows from the previous calculation error (I then
multiplyed by $16.00 for the first 8 hours. Then $24 for the last 2 hours and 15
minutes and added them up, and got $182.00).
The response does not provide a correct calculation of how much money Rita earned for the
time she worked on Monday ($182.00).
A4
Score Point 2
Annotations
Anchor Paper 4
Score Point 2
This response receives partial credit. The student includes two of the three required
elements:

The response provides a correct calculation of how much money Rita earned for the
time she worked on Monday (158).

The response provides a correct process for determining the total number of hours
worked (4 hours and 30 minutes = $72, 4 hours and 45 minutes = $86).
The response does not provide a correct process for determining the total dollar amount
earned, including overtime ($72 + $86 = $158). There is no work shown for $72 or $86.
A5
Score Point 1
Annotations
Anchor Paper 5
Score Point 1
This response receives partial credit. The student includes one of the three required
elements:

The response provides a correct process for determining the total number of hours
worked (She took a 45 minute break which would equal to 1:30 p.m. . . . 4 hours and
30 minutes + 4 hours and 45 minutes 9 hours 15 minutes is how long she worked).
The response does not provide a correct calculation of how much money Rita earned for the
time she worked on Monday.
The response does not provide a correct process for determining the total dollar amount
earned, including overtime.
A6
Score Point 1 Annotations
Anchor Paper 6
Score Point 1
This response receives partial credit. The student includes one of the three required
elements:

The response provides a correct process for determining the amount earned for one
hour of overtime ($16 x 1.5 = $24).
The response does not provide a correct process for determining the total number of hours
worked (8:15 am – 12:45 = 5 hours, 1:00pm + 45 min lunch break = 1:45pm 1:45pm –
6:16pm = 4 hours). This is not the same as a calculation error, since not using minutes is
below grade level.
The response does not provide a correct calculation of how much money Rita earned for the
time she worked on Monday.
A7
Score Point 0
Annotations
Anchor Paper 7
Score Point 0
This response receives no credit. The student includes none of the three required elements.
The response does not provide a correct process for determining the total number of hours
worked.
The response does not provide a correct process for determining the total dollar amount
earned, including overtime.
The response does not provide a correct calculation of how much money Rita earned for the
time she worked on Monday. Some relevant numbers are shown, but the steps are difficult
to follow since there is no labeling or description of parts.
A8
Score Point 0
Annotations
Anchor Paper 8
Score Point 0
This response receives no credit. The student includes none of the three required elements.
The response does not provide a correct process for determining the total number of hours
worked.
The response does not provide a correct process for determining the total dollar amount
earned, including overtime.
The response does not provide a correct calculation of how much money Rita earned for the
time she worked on Monday.
Practice Set
P101 - P105
P101
P102
P103
P104
P105
Practice Set
Paper
Score
P101
2
P102
0
P103
1
P104
3
P105
2