Math Released Item Grade 6. Precipitation in Plainville VH094567

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1 Math Released Item 2016 Grade 6 Precipitation in Plainville VH094567

2

3 Rubric Part A Score Description 2 Student response includes the following 2 elements. Reasoning component = 1 point o The student explains or shows that Jack correctly rounded to the nearest ones place. Reasoning component = 1 point o The student explains or shows that Courtney correctly rounded to the nearest tens place. Sample Student Response: Jack correctly rounded the precipitation to the nearest ones place. This means that Cedar Falls, with a precipitation of 15.68, and River Valley, with a precipitation of 16.43, would both round to 16. Courtney correctly rounded the precipitations to the nearest ten. All four towns would round to Student response includes 1 of the above elements. 0 Student response is incorrect or irrelevant. Rubric Part B Score Description 2 Student response includes the following 2 elements. Computation component = 1 point o The student provides a response that a precipitation amount can be greater than (the amount must be greater than the precipitation amount for Hill City) and less than Reasoning component = 1 point o The student justifies that the conclusion is incorrect. Sample Student Response: The amount for Hill City rounded to the nearest tenth is There are numbers above 21.5 that would also round to The amount should be greater than and less than Student response includes 1 of the above elements. 0 Student response is incorrect or irrelevant.

4 Anchor Set A1 A10 With Annotations

5 A1-a Part A: Score Point 2 Part B: Score Point 2

6 A1-b Part A: Score Point 2 Part B: Score Point 2

7 Annotation Anchor Paper 1 Part A: Score Point 2 This response receives full credit. It includes each of the two required elements: The student explains or shows that Jack correctly rounded to the nearest ones place (Jack and Courtney could both be correct as they both would have rounded to different places. If Jack rounded to the nearest whole number, Cedar Falls and River Valley would both have an annual rainfall of 16in.). The student explains or shows that Courtney correctly rounded to the nearest tens place (If Courtney had rounded to the nearest ten digit, all the towns would have an annual amount rainfall of 20in. This proves that Jack and Courtney could both be correct). Part B: Score Point 2 This response receives full credit. It includes each of the two required elements: The student provides a response that precipitation amount can be greater than and less than (The annual precipitation for Plainville must be greater than and less than 21.55). The student justifies that the conclusion is incorrect (Jack and Courtney s conclusion is incorrect. If we round to the nearest tenths place, we would get If we took 21.54, which is more than 21.50, we would also get 21.5, if we rounded to the tenths place. In fact, anything less than would work as would round to 21.6).

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

9 Annotation Anchor Paper 2 Part A: Score Point 2 This response receives full credit. It includes each of the two required elements: The student explains or shows that Jack correctly rounded to the nearest one place (They are both correct. Each one rounded up in a different place value. Jack rounded to the nearest ones place and rounded up or down to a whole number. Cedar Falls and River Valley both rounded up and down 16 which is why he could only get two of the same number). The student explains or shows that Courtney correctly rounded to the nearest tens place (Courtney rounded it to the nearest tens place which is why he got all of them to the same number. They all rounded up or down to 20). Part B: Score Point 2 This response receives full credit. It includes each of the two required elements: The student provides a response that precipitation amount can be greater than and less than (It has to be more than and less than 21.55). The student justifies that the conclusion is incorrect (Jack and Courtney are incorrect because the amount of Plainville can go up to without rounding up to.6).

10 A3 Part A: Score Point 2 Part B: Score Point 1

11 Annotation Anchor Paper 3 Part A: Score Point 2 This response receives full credit. It includes each of the two required elements: The student explains or shows that Jack correctly rounded to the nearest one place (Jack can be correct because if he rounded to the nearest whole number, and would both round to 16). The student explains or shows that Courtney correctly rounded to the nearest tens place (Courtney can also be correct because if she rounded to the tens place all of the amounts would round to 20). Part B: Score Point 1 This response receives partial credit. It includes one of the two required elements: The student justifies that the conclusion is incorrect (Their conclusion is incorrect because it actually can be no more than 21.54). The student does not provide a response that precipitation amount can be greater than and less than (must be greater than and no more than 21.54).

12 A4 Part A: Score Point 1 Part B: Score Point 2

13 Annotation Anchor Paper 4 Part A: Score Point 1 This response receives partial credit. It includes one of the two required elements: The student explains or shows that Courtney correctly rounded to the nearest tens place (Both Courtney and Jack can be correct, even though they both rounded to get different conclusions. They didn t have to both round to the same number, and to get the answer they got, Courtney would round to the nearest 10). The student does not explain or show that Jack correctly rounded to the nearest ones place (and Jack would have to round to the nearest 5). Part B: Score Point 2 This response receives full credit. It includes each of the two required elements: The student provides a response that precipitation amount can be greater than and less than (I agree that it must be above 21.45, but I say that it must be anywhere below 21.55). The student justifies that the conclusion is incorrect (Jack and Courtney are incorrect by saying that Plainville con be greater than but under I say this because rounding to the nearest tenths, would round to 21.60, but anything below that, in the 5 tenths, will round to We can fix Courtney and Jack s answer by moving their maximum to less than 21.55).

14 A5 Part A: Score Point 2 Part B: Score Point 0

15 Annotation Anchor Paper 5 Part A: Score Point 2 This response receives full credit. It includes each of the two required elements: The student explains or shows that Jack correctly rounded to the nearest one place (Jack and Courtney can both be correct because Jack rounded the amounts and two of the towns rouded to the same number, and If you are rounding to the closest whole number, they would both round to would round up and would round down). The student explains or shows that Courtney correctly rounded to the nearest tens place (Courtney is also correct because if you round all the numbers to the nearest tens place, they all round to 20). Part B: Score Point 0 This response receives no credit. It includes none of the two required elements: The student does not justify that the conclusion is incorrect (Their conclusion is incorrect. It is incorrect because Hill City rounded to the nearest thnths place). The student does not provide a response that precipitation amount can be greater than and less than (It is 21.5 and Plainville can be greater that 21.50, just no more than 21.54).

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

17 Annotation Anchor Paper 6 Part A: Score Point 2 This response receives full credit. It includes each of the two required elements: The student explains or shows that Jack correctly rounded to the nearest one place (Jack rounded to the nearest whole number so that the percipitation was and inches). The student explains or shows that Courtney correctly rounded to the nearest tens place (Courtney roundes to the nearest 10 so that the percipitation amounts were and 20 inches). Part B: Score Point 0 This response receives no credit. It does not include either of the two required elements: The student does not provide a response that precipitation amount can be greater than and less than (It also has to round to be the same tenth as Hill Citie, so it can t be greater than because then it would roun to a bigger number). The student does not justify that the conclusion is incorrect (They are correct because if it is the biggest it has to be bigger than because that is the amount for Hil City).

18 A7 Part A: Score Point 1 Part B: Score Point 0

19 Annotation Anchor Paper 7 Part A: Score Point 1 This response receives partial credit. It includes one of the two required elements: The student explains or shows that Jack correctly rounded to the nearest one place (JACK WAS RIGHT TWO TOWNS WERE ROUNDED TO THE SAME NUMBER IT WAS CEDAR FALLS, RIVER VALLEY AND IT WAS 16.00). The student does not explain or show that Courtney correctly rounded to the nearest tens place. Part B: Score Point 0 This response receives no credit. It does not include either of the two required elements: The student does not provide a response that precipitation amount can be greater than and less than (NO BECUES HILL CITY WAS AND IT SAID THAT PLAINVILLE WAS THE SAME AS HILL CITY). The student does not justify that the conclusion is incorrect.

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

21 Annotation Anchor Paper 8 Part A: Score Point 1 This response receives partial credit. It includes one of the two required elements: The student explains or shows that Jack correctly rounded to the nearest ones place (15.68 = = 16). The student does not explain or show that Courtney correctly rounded to the nearest tens place (18.37 = = 21). Part B: Score Point 0 This response receives no credit. It does not include either of the two required elements: The student does not provide a response that precipitation amount can be greater than and less than The student does not justify that the conclusion is incorrect (They are correct because if it is or over, it would go up instead of down like Hill City).

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

23 Annotation Anchor Paper 9 Part A: Score Point 0 This response receives no credit. It does not include either of the two required elements: The student does not explain or show that Jack correctly rounded to the nearest tens place (they cant both be correct becauseonly 2 can be the same for jack). The student does not explain or show that Courtney correctly rounded to the nearest one place (and all 4 have to be correct for courtney). Part B: Score Point 0 This response receives no credit. It includes none of the two required elements: The student does not provide a response that precipitation amount can be greater than and less than (the answer is greater than but less than 21.54). The student does not justify that the conclusion is incorrect (it is almost correct because anything below would round to but anything ofer would round to 21.60).

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

25 Annotation Anchor Paper 10 Part A: Score Point 0 This response receives no credit. It includes none of the two required elements: The student does not explain or show that Jack correctly rounded to the nearest tens place (Jack and Courtney can both be correct because they both rounded the precipitation numbers). The student does not explain or show that Courtney correctly rounded to the nearest one place. Part B: Score Point 0 This response receives no credit. It includes none of the two required elements: The student does not provide a response that precipitation amount can be greater than and less than (so the precipitations would have to be ). The student does not justify that the conclusion is incorrect (their conclusion is correct because Hill City is and thats the greatest precipitation, and they dint want it to be greater than 21.50).

26 Practice Set P101 - P105 No Annotations Included

27 P101

28 P102

29 P103

30 P104

31 P105

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

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

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