Math Spring Operational Grade 8 PBA Item #14 Amount of Gasoline M20534

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1 Math Spring Operational 2015 Grade 8 PBA Item #14 Amount of Gasoline M20534

2

3 . Based on the unit prices, Gas Station P charges more for gasoline. The unit price for Gas Station P is $4.00 per gallon since the constant linear graph for Gas Station P shows the point (5, 20), which means it costs $20 for 5 gallons of gas. The table for Gas Station M shows that 10 gallons cost #38, so the unit price for Gas Station M is 38 / 10 = $3.80 per gallon.

4 Anchor Set A1 A8

5 A1 Score Point 3

6 Annotations Anchor Paper 1 Score Point 3 This response receives full credit. The response includes each of the three required elements: The response provides the correct unit price for both gas stations: (Gas Station P $4 dollars per gallon; Gas Station M $3.80 per gallon). The response provides a correct determination that Gas Station P charges more for gasoline (Gas Station P payes 20 cents more than Gas Station M because I compared the prices... to find how much money you use for one gallon at each station). The correct work for determining the unit price is provided (Gas Station P ; Gas Station M = ). = or

7 A2 Score Point 3

8 Annotations Anchor Paper 2 Score Point 3 This response receives full credit. The response includes each of the three required elements: The response provides the correct unit price for both gas stations: ($4 per gallon; $3.80 per gallon). Even though the prices are not labeled, the work provided determines that $4 per gallon is from Station P and $3.80 is from Station M. The response provides a correct determination that Gas Station P charges more for gasoline (gas station p charges more for each gallon of gasoline). The correct work for determining the unit price is provided (20 5) for Station P and (19 5) for Station M.

9 A3 Score Point 2

10 Annotations Anchor Paper 3 Score Point 2 This response receives partial credit. The response includes two of the three required elements: The response provides the correct unit price for both gas stations: (The unit price for the gasoline at gas station P is $4 per one gallon. The unit price at gas station M is $3.80 per gallon). The response provides a correct determination that Gas Station P charges more for gasoline (station P charges more money for gasoline). The work for determining the unit price is incorrect (work for station P: 5 20). For this element to receive credit, correct work or explanation for both stations must be provided.

11 A4 Score Point 2

12 Annotations Anchor Paper 4 Score Point 2 This response receives partial credit. The response includes two of the three required elements: The response provides the correct unit price for both gas stations: (Gas Station P they charge $4 per gallon; Gas Station M charges $3.80 per gallon). The response provides a correct determination that Gas Station P charges more for gasoline (Gas Station P charges more for gasoline per gallon). The work for determining the unit price is incomplete (19 5 = 3.80). The work for Gas Station P is not provided.

13 A5 Score Point 1

14 Annotations Anchor Paper 5 Score Point 1 This response receives partial credit. The response includes one of the three required elements: The response provides a correct determination that Gas Station P charges more for gasoline (Gas Station P charges more for gasoline). The unit price for both gas stations is missing. The explanation for determining the unit price is incomplete. Although the explanation does not provide the unit price, the information provided is sufficient to support which station charges more.

15 A6 Score Point 1

16 Annotations Anchor Paper 6 Score Point 1 This response receives partial credit. The response includes one of the three required elements: The response provides a correct determination that Gas Station P charges more for gasoline (Gas Station P charges more per gallon). This determination is based on partially correct information. The unit price for Station M is correct, and the work for Station M is correct. The unit price for Station P is incorrect. Although the explanation is flawed, it is sufficient for credit. The unit price for Gas Station P is incorrect (Gas Station P charges 5$ per gallon). For this element to receive credit, the correct unit price for both stations must be provided. The work for determining the unit price is incomplete (19 5 and getting 3.80). The work or explanation for Gas Station P is not provided. The work or explanation to find the unit price for both gas stations must be provided to receive credit.

17 A7 Score Point 0

18 Annotations Anchor Paper 7 Score Point 0 This response receives no credit. The response includes none of the three required elements: The unit price for both gas stations is missing. The determination that Gas Station P charges more for gasoline is incomplete. The determination is not based on unit price, and there is insufficient explanation to demonstrate why Gas Station P charges more. The work or explanation for determining the unit price is missing.

19 A8 Score Point 0

20 Annotations Anchor Paper 8 Score Point 0 This response receives no credit. The response includes none of the three required elements: The unit price for both gas stations is incomplete. The unit price for Station P is not provided. The determination that Gas Station P charges more for gasoline is incorrect (They all charge the same price of $3.80 per gallon). The work or explanation for determining the unit price is incomplete (19 5 = 3.8). The work for Station P is not provided.

21 Practice Set P101 - P105

22 P101

23 P102

24 P103

25 P104

26 P105

27 Practice Set Paper Score P101 3 P102 0 P103 2 P104 2 P105 1

Math Released Set 2015. Algebra 1 PBA Item #13 Two Real Numbers Defined M44105

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