Math Released Item Grade 4 PBA Item #17 Number of Baskets VF565302

Transcription

1 Math Released Item 2015 Grade 4 PBA Item #17 Number of Baskets VF565302

2 Prompt

3 Rubric Task is worth a total of 6 points. VF Rubric Part A Score Description 2 Student response includes the following 2 elements. Modeling component = 1 point o Valid equation that can be used to find the total number of baskets made Computation component = 1 point o Correct total number of baskets made, 54 Sample Student Response: = 54 Notes: A variety of equations are possible, however, each equation must include an equal sign (or say equals ) to show the relationship between the two quantities. Students can earn the computation point if they solve an incorrect equation correctly. 1 Student response includes 1 of the 2 elements. 0 Student response is incorrect or irrelevant. VF Rubric Part B Score Description 2 Student response includes the following 2 elements. Modeling component = 1 point o Machine Scored: Valid key that can be used to complete the given picture graph, 2, 3, or 6 Modeling component = 1 point o Machine Scored: Correctly completed picture graph based on the chosen key 1 Student response includes 1 of the 2 elements. 0 Student response is incorrect or irrelevant.

4 VF Rubric Part C Score Description 2 Student response includes the following 2 elements. Modeling component = 2 points o Valid explanation of how student chose a key o Valid explanation of how student used the chosen key to determine the number of basketballs to place in the graph for each player Sample Student Response: All of the numbers in the table are divisible by 3, so I made one basketball equal 3 baskets made. One basketball equals 3 baskets. Tony made 6 baskets and 6 3 = 2 so I used 2 basketballs in his row. Michael and Dennis made 18 baskets each and 18 3 = 6 so I used 6 baskets in each of their rows. Scott made 12 baskets and 12 3 = 4 so I used 4 baskets in his row. Notes: A variety of explanations are valid as long as the student shows a clear understanding of how to create a key based on the data given. Valid mathematical language should be used to show understanding. If a computation mistake is made, the modeling points can still be awarded if the explanation is sound. The response does not have to show mathematical computations or work. An explanation of a reasonable method of how the key was used is sufficient to receive credit. 1 Student response includes 1 of the 2 elements. 0 Student response is incorrect or irrelevant.

5 Anchor Set A1 A10

6 A1 Part A: Score Point 2 Part C: Score Point 2

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8 Annotations Anchor Paper 1 Part A: Score Point 2 This response receives full credit. The response includes each of the two required elements. The response provides the correct total number of baskets made (54). The response provides a valid equation to find the total number of baskets made ( = 54). Part C: Score Point 2 This response receives full credit. The response includes each of the two required elements. The response provides a valid explanation for how the key was chosen in Part B (your 3 times table you can look at your 3 and it goes to 3, 6, 9, 12, 15, look at the table chart it goes by 3). The response provides a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player (it goes by 3 so I put tony 2 balls michel 6 balls scott 4 balls and dennis 6 balls).

9 A2 Part A: Score Point 2 Part C: Score Point 2

10 Annotations Anchor Paper 2 Part A: Score Point 2 This response receives full credit. The response includes each of the two required elements. The response provides the correct total number of baskets made (54). The response provides a valid equation to find the total number of baskets made ( = 54). Part C: Score Point 2 This response receives full credit. The response includes each of the two required elements. The response provides a valid explanation for how the key was chosen in Part B (all of the numbers in the chart can be divided by 2). The response provides a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player (I divided each piece of data by 2).

11 A3 Part A: Score Point 2 Part C: Score Point 1

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13 Annotations Anchor Paper 3 Part A: Score Point 2 This response receives full credit. The response includes each of the two required elements. The response provides the correct total number of baskets made (54). The response provides a valid equation to find the total number of baskets made ( = 54). Part C: Score Point 1 This response receives partial credit. The response includes one of the two required elements. The response provides a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player ( 6 1 = 6 so put 1 basketball. 6 3 = 18 so i put 3. so i multiply 6 times something equils the number of baskets shot). The response does not provide a valid explanation for how the key was chosen in Part B.

14 A4 Part A: Score Point 1 Part C: Score Point 2

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16 Annotations Anchor Paper 4 Part A: Score Point 1 This response receives partial credit. The response includes one of the two required elements. The response provides a valid equation to find the total number of baskets made ( =?). The response does not provide a total number of baskets made. Part C: Score Point 2 This response receives full credit. The response includes each of the two required elements. The response provides a valid explanation for how the key was chosen in Part B (because [all] of the numbers even). The response provides a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player (i counted the basketballs by 2).

17 A5 Part A: Score Point 2 Part C: Score Point 0

18 Annotations Anchor Paper 5 Part A: Score Point 2 This response receives full credit. The response includes each of the two required elements. The response provides the correct total number of baskets made (54). The response provides a valid equation to find the total number of baskets made ( = 54). The series of preceding equations clarify why 42 is used in the equation. Part C: Score Point 0 This response receives no credit. The response includes none of the two required elements. The response provides an insufficient explanation for how the key was chosen in Part B (i look at the game before and add it up and got it). The response does not provide an explanation of how the key was used to determine the number of basketballs to place in the graph for each player.

19 A6 Part A: Score Point 0 Part C: Score Point 2

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21 Annotations Anchor Paper 6 Part A: Score Point 0 This response receives no credit. The response includes none of the two required elements. The response does not provide the total number of baskets made. The response does not provide a valid equation to find the total number of baskets made. An equation must include an equal sign [or state equals] between two quantities. Part C: Score Point 2 This response receives full credit. The response includes each of the two required elements. The response provides a valid explanation for how the key was chosen in Part B (3 goes in to 6, 18, and 12). The response provides a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player (For Tony, I put 2 balls because 3 2 = 6... For Michael and Dennis, I put 6 balls because 3 6 = for Scott, I put 4 balls because 4 3 = 12 ).

22 A7 Part A: Score Point 1 Part C: Score Point 0

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24 Annotations Anchor Paper 7 Part A: Score Point 1 This response receives partial credit. The response includes one of the two required elements. The response provides a valid equation [with an incorrect solution] to find the total number of baskets made ( = 52). The response does not provide the correct total number of baskets made (52). Part C: Score Point 0 This response receives no credit. The response includes none of the two required elements. The response does not provide a valid explanation for how the key was chosen in Part B. The response does not provide a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player. The response restates the number of basketballs placed in the picture graph.

25 A8 Part A: Score Point 0 Part C: Score Point 1

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27 Annotations Anchor Paper 8 Part A: Score Point 0 This response receives no credit. The response includes none of the two required elements. The response does not provide the correct total number of baskets made (48). The response does not provide a valid equation to find the total number of baskets made. The final step of the process of equations is incorrect; should have been added instead of , which provided the incorrect total number of baskets made (30+18=48). Part C: Score Point 1 This response receives partial credit. The response includes one of the two required elements. The response provides a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player (one bsscetball equels 3 baskets so 2 went on Tony, 6 went on Michael, 4 went on Scott, and 6 went on Dennis). The response does not provide a valid explanation for how the key was chosen in Part B.

28 A9 Part A: Score Point 0 Part C: Score Point 0

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30 Annotations Anchor Paper 9 Part A: Score Point 0 This response receives no credit. The response includes none of the two required elements. The response does not provide the total number of baskets made. The response does not provide a valid equation to find the total number of baskets made. Part C: Score Point 0 This response receives no credit. The response includes none of the two required elements. The response does not provide a valid explanation for how the key was chosen in Part B. The response does not provide a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player.

31 A10 Part A: Score Point 0 Part C: Score Point 0

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33 Annotations Anchor Paper 10 Part A: Score Point 0 This response receives no credit. The response includes none of the two required elements. The response does not attempt to provide the total number of baskets made. The response does not provide a valid equation to find the total number of baskets made. Part C: Score Point 0 This response receives no credit. The response includes none of the two required elements. The response does not provide a valid explanation for how the key was chosen in Part B. The response does not provide a valid explanation of how the key was used to determine the number of basketballs to place in the graph for each player.

34 Practice Set P101 - P105

35 P101

36 P102

37 P103

38 P104

39 P105

40 Practice Set Paper Score P101 2,1 P102 2,2 P103 0,1 P104 1,2 P105 1,1