math released item 2019 algebra ii games and movies rental … · 2020-07-24 · video games (movie...

Math

Released Item 2019

Algebra II

Games and Movies Rental 3056-M44176

Anchor Set A1–A10

With Annotations

Prompt

Rubric

Rubric

A1 Part A: Score Point 3 Part B: Score Point 3

Annotation

Anchor Paper 1 Part A: Score Point 3 This response receives full credit. The student includes each of the three required elements:

• The student correctly determines the cost of renting movies and video games (movie . . .$4.50; video game . . . $5.75).

• The student correctly determines how much Keith will spend ($16).

• The student correctly explains the answer by identifying the values (one movie costs $4.50 to rent and one video game costs $5.75 to rent . . . the cost of a movie and two video games would come out to $16) (If the problem is set up into a system of equations)

Part B: Score Point 3 This response receives full credit. The student includes each of the three required elements:

The student correctly determines the total cost of renting two movies and three video games ($26.25).

The student correctly determines the individual rental cost ($5.25).

• The student correctly explains the answer by identifying the values (2 movies and 3 video games from the first store cost $26.25 . . . the cost for both a movie and a video game is $5.25) and by describing how to find the individual cost (If . . . 2 movies and 3 video games from the first store cost $26.25 to rent, this would mean that it also costs the same for the second store. This makes the first equation 2𝑥𝑥𝑥𝑥 + 3𝑦𝑦𝑦𝑦 = 26.25 . . . the second equation would be 𝑥𝑥𝑥𝑥 = 𝑦𝑦𝑦𝑦); either would be credited as the explanation.

A2 Part A: Score Point 3 Part B: Score Point 2

Annotation

Anchor Paper 2 Part A: Score Point 3 This response receives full credit. The student includes each of the three required elements

• The student correctly determines the cost of renting movies and video games (movies . . . $4.50; games . . . $5.75).

• The student correctly determines how much Keith will spend (16).

• The student correctly explains the answer by identifying the values (movies are $4.50 and games are $5.75 Keith will spend 16 dollars). (4.50 + 5.75(2) = 16)

Part B: Score Point 2 This response receives partial credit. The student includes two of the three required elements:

• The student correctly determines the individual rental cost (5.25).

• The student correctly explains the answer by describing how to find the individual cost (i took the known amount from the other store added and divided by five).

No credit is given for the total cost: the value is not shown.

A3 Part A: Score Point 3 Part B: Score Point 0

Annotation

Anchor Paper 3 Part A: Score Point 3 This response receives full credit. The student includes each of the three required elements:

• The student correctly determines the cost of renting movies and video games (movie . . . $4.50; game . . . $5.75).

• The student correctly determines how much Keith will spend ($16).

• The student correctly explains the answer by identifying the values (Keith will spend $16 . .. 1 movie is $4.50 and 1 game is $5.75) and by describing how to find the individual costs (3m + 2g = 25; 2(2m + 1g = 14.75). You have to use elimination to find out how much each is worth).

Part B: Score Point 0 This response receives no credit. The student includes none of the three required elements.

No credit is given for the total cost: no value is shown.

No credit is given for the individual cost: the value is incorrect.

No credit is given for the explanation: the procedure described is incorrect (I used the fees . . . to find out how much 2 movies and 3 games were worth. Then i divided by 2 to get how much 2 movies were then divided by 2 again to see how much 1 movie was).

A4 Part A: Score Point 2 Part B: Score Point 3

Annotation

Anchor Paper 4 Part A: Score Point 2 This response receives partial credit. The student includes two of the three required elements:

• The student correctly determines the cost of renting movies and video games (x = movie’ . . . x = 4.5; y = videogame . . . y = 5.75).

• The student correctly explains the answer by showing and describing work to find the individual costs (Iused a sytem of equations [with correct work to solve the system]).

No credit is given for the total cost: the value is incorrect.

Part B: Score Point 3 This response receives full credit. The student includes each of the three required elements:

• The student correctly determines the total cost of renting two movies and three video games (26.25).

• The student correctly determines the individual rental cost ($5.25).

• The student correctly explains the answer by showing and describing work to find the individual cost ([shows work to find the total, then divides by 5 and explains the work] I used a third exponent “z” to represent the cost . . . I used the values of x and y from part A).

Incorrectly referring to the variable as an exponent is considered imprecise mathematical language; if the entire response were otherwise completely correct, Part B would lose a precision point for this error. Because Part A is receiving less than the top score, the response is not completely correct, so no precision point is lost.

A5 Part A: Score Point 2 Part B: Score Point 1

Annotation

Anchor Paper 5 Part A: Score Point 2 This response receives partial credit. The student includes two of the three required elements:

• The student correctly determines how much Keith will spend (sixteen dollars).

• The student correctly explains the answer by describing the procedure to find all of the values (To find this you first have to solve a system of equations . . . When I solved the system i used the method of elimination).

No credit is given for the individual costs: the values are not shown.

Part B: Score Point 1 This response receives partial credit. The student includes one of the three required elements:

• The student correctly explains how to find the individual costs (determine the cost of 2movies 3 video gamesset that answer equal to 5x).

No credit is given for the total cost or the individual cost: the values are not correct.

A6 Part A: Score Point 2 Part B: Score Point 0

Annotation

Anchor Paper 6 Part A: Score Point 2 This response receives partial credit. The student includes two of the three required elements:

• The student correctly determines the cost of renting movies and video games (movie . . . $4.50; game . . . $5.75).

• The student correctly determines how much Keith will spend (16).

No credit is given for the explanation:

Part B: Score Point 0 This response receives no credit. The student includes none of the three required elements.

No credit is given for the total cost: the value is incorrect.

No credit is given for the individual cost or the explanation: neither is presented.

A7 Part A: Score Point 1 Part B: Score Point 1

Annotation

Anchor Paper 7 Part A: Score Point 1 This response receives partial credit. The student includes one of the three required elements:

• The student correctly determines how much Keith will spend based on the values found for movies and video games (about 17$ [1 movie at 4 plus 2 games at 6.50 = 17]).

No credit is given for the individual costs: the values are incorrect.

No credit is given for the explanation: with incorrect values for the individual costs, the explanation would need to describe a correct procedure to find them.

Part B: Score Point 1 This response receives partial credit. The student includes one of the three required elements:

• The student correctly explains how to find the individual cost of $5 after explaining that the total was $25 (25, the total price, divided by 5, the number of movies and videogames, is 5 the cost of each movie and video game).

No credit is given for the total cost or the individual cost: the values are not correct. Using a total cost of $25 has oversimplified the problem and the costs based on this interpretation are not credited.

A8 Part A: Score Point 1 Part B: Score Point 0

Annotation

Anchor Paper 8 Part A: Score Point 1 This response receives partial credit. The student includes one of the three required elements:

• The student correctly determines how much Keith will spend (16).

No credit is given for the individual costs or the explanation: neither is presented.

Part B: Score Point 0 This response receives no credit. The student includes none of the three required elements.

No credit is given for the total cost or the individual cost: the values are not correct. Using a total cost of $25 has oversimplified the problem and the costs based on this interpretation are not credited.

No credit is given for the explanation: the response does not clearly explain that $25 is the total cost for renting 2 movies and 3 video games.

A9 Part A: Score Point 0 Part B: Score Point 1

Annotation

Anchor Paper 9 Part A: Score Point 0 This response receives no credit. The student includes none of the three required elements.

No credit is given for the individual costs: the values are incorrect.

No credit is given for the total cost: although it is correct based on the values found for movies and video games, the same cost is shown for both, which oversimplifies the problem.

Part B: Score Point 1 This response receives partial credit. The student includes one of the three required elements:

• The student correctly explains how to find the individual cost of $5 after explaining that the total was $25 (calvin got 3 movies and 2 video games and spent 25$ 25 divided by 5 is 5 so each video game and each movie is 5 $).

No credit is given for the total cost or the individual cost: although they are correct based on the values in Part A, using individual costs of $5 in Part A has oversimplified the problem and the costs based on these values are not credited.

A10 Part A: Score Point 0 Part B: Score Point 0

Annotation

Anchor Paper 10 Part A: Score Point 0 This response receives no credit. The student includes none of the three required elements.

No credit is given for the individual costs: the values are incorrect.

No credit is given for the total cost: the total is not shown.

No credit is given for the explanation: while the initial two equations are correct, the work that is performed (dividing 25 by 3, then dividing that number by 2) follows an incorrect procedure and is not credited.

Part B: Score Point 0 This response receives no credit. The student includes none of the three required elements.

No credit is given for the total cost or the individual cost: the values are incorrect and are incorrect based on Part A.

No credit is given for the explanation: the work that is performed (dividing 25 by 2, then dividing that number by 3) follows an incorrect procedure and is not credited.

Practice Set P1–P9

No Annotations Included

P1

P2

P3

P4

P5

P6

P7

P8

P9

Practice Set

Paper Score

P1 2,3

P2 1,1

P3 1,0

P4 0,0

P5 1,0

P6 3,1

P7 0,1

P8 3,2

P9 2,3