Math Released Item Grade 5. Expressions with Same Value 4054-M03251

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1 Math Released Item 2018 Grade 5 Expressions with Same Value 4054-M03251

2 Anchor Set A1 A8 With Annotations

3 Prompt

4 Score Description 4054-M03251 Rubric Part A 1 This part of the item is machine-scored. Reasoning component = 1 point Sample Student Response: B, C, E 0 Student response is incorrect or irrelevant. Score Description 4054-M03251 Rubric Part B 3 Student response includes the following 3 elements. Reasoning component = 2 points o Valid explanation of how the value of each letter was determined o Valid explanation of how to find the quotient using the area model Computation component = 1 point o Correct number for each letter in the model Sample Student Response: The value of Q is 150 since 10 x 15 = 150. Then, from within the area model, = 3195 The value of S is 3 since 15 x 3 = 45 So, = 213 And 15 x 213 = 3195 Since division undoes multiplication, = 213. Or other valid response.

5 2 Student response includes 2 of the 3 elements. 1 Student response includes 1 of the 3 elements. 0 Student response is incorrect or irrelevant.

6 A1 Score Point 3

7 Annotation Anchor Paper 1 Part B: Score Point 3 This response receives full credit. It includes each of the three required elements: Correct numbers given for the letters represented in the area model (Q = 150 and S = 3). Correct explanation of how the value of each letter was determined (Q had to equal 150 because the two outside numbers, 15 and 10, multiplyed equaled 150. That also meant that S had to be 3 because 15 3 = 45). Correct explanation of how to find the quotient using the area model (adding the numbers ontop of the boxes which would be which equals 213 so that means that 3, = 213). Note: The prompt asks the student to provide the expression, 3,195 15, as part of the explanation.

8 A2 Score Point 3

9 Annotation Anchor Paper 2 Part B: Score Point 3 This response receives full credit. It includes each of the three required elements: Correct numbers given for the letters represented in the area model (Q = 150, S = 3). Correct explanation of how the value of each letter was determined (I determined the value of the Q by doing the equation: = 150. I determined the value of S by doing the equation: = 3). Correct explanation of how to find the quotient using the area model (3, = 200. Then you would do the next problem = 10. Next you would figure out the equation = 3. Add 200, 10, and 3. You should get 213 as your quotient to 3, = 213).

10 A3 Score Point 2

11 Annotation Anchor Paper 3 Part B: Score Point 2 This response receives partial credit. It includes two of the three required elements: Correct numbers given for the letters represented in the area model (Q = 150 and S = 3). Correct explanation of how the value of each letter was determined (15 10 = 150 and = 3). The correct explanation of how to find the quotient using the area model is provided ( = 213), but the expression, 3,195 15, required as a part of the explanation, is not provided.

12 A4 Score Point 2

13 Annotation Anchor Paper 4 Part B: Score Point 2 This response receives partial credit. It includes two of the three required elements: Correct numbers given for the letters represented in the area model (Q I got 150, S I got 3). Correct explanation of how the value of each letter was determined (I determined Q by doing which got me 150. The way I determined 3 was I did which got me 3). The explanation of how to find the quotient using the area model is incomplete (So the way to determine your quotient is to do 3, and get an answer of 213). The required expression is provided but how the area model is used to find the quotient is not explained.

14 A5 Score Point 1

15 Annotation Anchor Paper 5 Part B: Score Point 1 This response receives partial credit. It includes one of the three required elements: Correct explanation of how the value of each letter was determined (15 10 = 160, = 3 or 3 15 = 45). Note: The explanation for how the value of each letter was found can receive credit even if the value of Q or S is incorrect. When an incorrect value for Q or S is provided credit is lost in the first element. The numbers that the letters represent in the area model are partially correct. The answer for S is correct (S =3), but the answer for Q (Q =160) is incorrect. In order to receive credit for the first element, both values need to be correct. The explanation of how to find the quotient using the area model is incorrect ( = 395).

16 A6 Score Point 1

17 Annotation Anchor Paper 6 Part B: Score Point 1 This response receives partial credit. It includes one of the three required elements: Correct numbers given for the letters represented in the area model (Q = 150, S = 3). The explanation of how the value of each letter was determined is not provided. The explanation of how to find the quotient using the area model is incorrect (the problems that are on top of the box are based on how much was left). This does not explain how to determine the quotient using the area model. It describes what the numbers on top of the box are, not how they are used to find the quotient.

18 A7 Score Point 0

19 Annotation Anchor Paper 7 Part B: Score Point 0 This response receives no credit. It includes none of the three required elements: The numbers that the letters represent in the area model are partially correct. The value for Q is correct (150), but the value for S is incorrect (674). In order to receive credit for the first element, both answers need to be correct and present, or one correct answer with a valid explanation needs to be present. The explanation of how the value of each letter was determined is not provided. The explanation of how to find the quotient using the area model is not provided.

20 A8 Score Point 0

21 Annotation Anchor Paper 8 Part B: Score Point 0 This response receives no credit. It includes none of the three required elements: The numbers that the letters represent in the area model are not provided. The explanation of how the value of each letter was determined is not provided. The explanation of how to find the quotient using the area model is incorrect. Although the required expression 3, is provided with the correct quotient (3, = 213), it is not sufficient to explain how to find the quotient using the area model when provided alone.

22 Practice Set P1 - P5 No Annotations Included

23 P1

24 P2

25 P3

26 P4

27 P5

28 Practice Set Paper Score P1 2 P2 3 P3 1 P4 3 P5 0

Math Released Item Grade 5. Cheese for Tacos VH049385

Math Released Item Grade 5. Cheese for Tacos VH049385 Math Released Item 2016 Grade 5 Cheese for Tacos VH049385 Prompt Rubric Task is worth a total of 4 points. Cheese for Tacos Part A Score Description Student response includes the following 2 elements.