1. OAA Review Written Responses Sample 1 Sample 2 Sample 3 Sample 4

2. The brochure from Store-It-Yourself Storage shows the monthly cost for storage units. In your Answer Document, create a line graph that shows the relationship between unit size and cost per month. Write an equation that can be used to determine the per-square-foot cost of a storage unit with any number of square feet. Show or explain how you found your equation. Then, use your equation to determine how much it will cost Tom to rent a 10-by-12-foot storage unit from Store-It-Yourself Storage. Show or explain your work. Home

3. Sample score of 4 Sample score of 3 Sample score of 2 Sample score of 1 Sample score of 0 Home

4. This response received a score of 4 because it provides an adequate graph (the graph has axes correctly labeled “unit size (sq ft)” and “cost (p/month) in dollars” and shows the correct relationship), a correct equation for determining the cost of the storage unit (“.89x = y”) and the correct cost for renting a 10-by-12-foot storage unit (“It would cost Tom $106.80”) and shows work (“.89(120) = y” and “$106.8 = y”). Back

5. This response received a score of 3 because it provides an adequate graph (the graph has axes correctly labeled “unit size” and “Cost per Month (dollars)” and shows the correct relationship), a correct equation for determining the cost of the storage unit (“C = Sq0.89”) and the correct cost for renting a 10-by-12-foot storage unit (“120 sq ft = $106.80”) but does not show supporting work. Back

6. This response received a score of 2 because it provides the correct cost for renting a 10-by-12-foot storage unit (“$106.80”) and shows work (“22.25/25 x/120,” “2670/25 25x/25,” “106.8 = x”) but has an inadequate graph because the x-axis has inconsistent labeling, which makes the points incorrect, and no equation for determining the cost of the storage unit. Back

7. This response received a score of 1 because it provides an adequate graph (the graph has axes correctly labeled “Cost per Month” and “Unit Size” and the graph shows the correct relationship), but there is no equation for determining the cost of the storage unit and the cost for renting a 10-by-12-foot storage unit is incorrect (“It would cost Tom around $100 per month”). Back

8. This response received a score of 0 because it provides a bar graph and an incorrect cost for renting a 10-by-12-foot storage unit (“$134.40”) and does not provide a correct equation for determining the cost of the storage unit. Back

9. The number of points a football team scored in its first eight games are shown. The team scored 48 points in the ninth game. In your Answer Document, determine which measure of center (the mean, the median or the mode) will change the most after the team’s ninth game is added to the list. Show your work or explain your reasoning for selecting that measure of center. Home

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11. The response received a score of 2 because it provides all of the measures of center for both the 8 games (“Median 12.5... Mean 14. 75... Mode 12”) and the 9 games (“Median 13... Mean 18.4... Mode 12”), shows supporting work to find the median and the differences of each center of measurement (“Median 0.5... Mean 3.7... Mode 0”), and has a correct conclusion (“the mean will change the most after the ninth game”). Back

12. The response received a score of 1 because it provides adequate supporting work of a mean difference (“3.694”), mode difference (“no change”) and median difference (“.5”). The student does not provide a statement indicating which measure of center changes the most Back

13. The response received a score of 0 because it provides a correct statement indicating which measure of center changes the most (“the mean will be changed the most”) without any work or an explanation. Back

14. An auditorium has 5 sections of seats. Each section has between 190 and 210 seats. At a concert, 75% of the seats were occupied. In your Answer Document, estimate the number of occupied seats at the concert. Show or explain your estimation strategy. Home

15. Sample score of 2 Sample score of 1 Sample score of 0 Home

16. This response received a score of 2 because it provides a reasonable estimate of the number of occupied seats (“750 seats occupied”) with adequate supporting work (“200 seats x 5 sections = 1000 x.75 = 750”). Back

17. This response received a score of 1 because it provides an exact calculation for the number of occupied seats (“787.5”). Back

18. This response received a score of 0 because it provides an inaccurate estimate of the number of occupied seats (“about 158 seats are filled”), where the maximum estimate for one section is 157.5, with supporting work (“210 ·.75 = 157.5 = 158”). Back

19. The fastest kind of train in the world, a Maglev train, carries passengers 30 kilometers in just 8 minutes. In California, transportation officials want to build a Maglev train to take passengers from San Francisco to Los Angeles, a distance of 340 miles. Currently, this trip takes approximately 6 hours by car. The train will be built only if it will reduce travel time from San Francisco to Los Angeles by 50% or more. In your Answer Document, explain why a Maglev train should be built from San Francisco to Los Angeles. Use mathematical reasoning to support your statement, including all calculations. (1 kilometer = 0.62 mile) Home

20. Sample Score 4 Sample Score 3 Sample Score 2 Sample Score 1 Sample Score 0 Home

21. This response received a score of 4 because it provides an adequate argument for why funding of the train should be included in the state budget with supporting work shown (“It takes a car 6 hours to go 340 miles at 56.7 miles per hour and it only takes the train 2.4 hours to go 340 miles at 139.5 miles per hour which is more than 50% the rate of the car”). Back

22. This response received a score of 3 because it provides a vague argument for why funding of the train should be included in the state budget (“The train should be used because time is being reduced by over 50% It’s going from 6 hrs. to 2 hrs. 24 min”) but has accurate supporting work. Back

23. This response received a score of 2 because it provides a vague argument for why funding of the train should be included in the state budget (“They should build this train because first of all it would only take 56.24 minutes to get there which is about 64% faster then the normal 360 minutes that it would take to travel by car”) but has flawed supporting work. Back

24. This response received a score of 1 because it provides a correct statement about building the train (“A Maglev Train should be built from San Fransisco to Los Angeles Because If the train carries passengers 30 kilometers in 8 minutes, Divide 30 By 8 and you get 3.75. So, the Train travels 3.75 Kilometers per minute. Multiply Because it takes about 6 hours to get there you get 360. Now take, you Get 96. So, if you take a Maglev train to get from San Fransisco to L.A., It would only take you 1.6 hours to get there, which is less than 50%”) but has flawed supporting work. Back

25. This response received a score of 0 because it provides flawed and incomplete work with no statement of whether the train should be built. Back