Education Standards
OSPI Quadratic Instructional Task: Swim Center
Overview
This resource was created by the Washington Office of Superintendent of Public Instruction.
Task
OSPI Quadratic Instructional Task L
Quadratics; Standard F-IF.4, Claim 1, Claim 2C
Swim Center
Jose and Natalia work part time at the Summer Sun Swim Center.
The owner of the center wants to see how business is going. He studies last summer’s revenue (the money coming in), , over each week of the summer, .
Last summer:
- The revenue for week 1 was $2900.
- The maximum revenue was $6000 on week 8.
- On week 16, the revenue was $1600.
- The revenue was modeled by a quadratic function.
Sketch a graph of the function modeling the revenue.
Explain the meaning of the value of the positive -intercept in the context of this problem and write your answer in the space provided below your graph.
Rubric
Rubric
Question Number | Standard/Claim | Description |
L | F-IF.4/Claim 2 | A 2-point response demonstrates understanding of the standard and claim by doing the all the following:
(1, 2900), (8, 6000), and (16, 1600). Writes the -intercept means that the revenue is $0 or that the swim center is closed. |
A 1-point response demonstrates limited understanding of the standard and claim by doing one of the following:
(1, 2900), (8, 6000), and (16, 1600). Writes the -intercept means that the revenue is $0 or that the swim center is closed. | ||
A 0-point response demonstrates almost no understanding of the standard and claim. |
OSPI Quadratic Instructional Task Annotated Student Work
OSPI Quadratic Instructional Task L Annotated Student Work
Example 1
2-point response: The student has drawn a reasonably symmetrical graph through the designated points to earn the first bullet. The student explains there will be no revenue at Week 17 to earn Bullet 2.
Example 2
1-point response: The graph is not complete. It should be drawn to the y-axis. The meaning of the positive x-intercept meets Bullet 2.
Example 3
0-point response: The student has not graphed point (16, 1600) correctly and (1, 2900) is slightly off. The graph does not take the shape of a quadratic. (16, 6000) is not the lowest point on the graph nor the lowest revenue. Neither bullets are earned.