1. Tommy emptied his piggy bank and found 21 coins. He had 60 cents worth of nickels. The rest of his coins were dimes and pennies. What is the greatest amount the coins could be worth?
What is the least amount the coins could be worth?
Explain how you arrived at your answer.
NOTE: Due to the wording of the question, two pairs of correct answers are acceptable: $.78 and $141; OR , $.87 and $1.32.
| 0 | Answer is unresponsive, unrelated or inappropriate. Answer contains nothing correct. |
| 1 | Answer contains something correct related to the question, such as one correct amount, two patially correct amounts, a partially correct explanation, etc. |
| 2 | Answer deals correctly with most aspects of the question, but something is missing. May deal with all aspects but have minor errors. |
| 3 | Answer is complete and correct. A correct pair of values is filled in, with an explanation which is complete and correct. |
SCORE DISTRIBUTION BY ACHIEVEMENT LEVEL
NOTE: FCP = Frequency Column Percent
| FCP | Level I | Level II | Level III | Level IV | Total |
| 0 | 2, 265 (93.4) | 5,856 (90.1) | 7, 917 (71.1) | 2,439 (32.6) | 18,477 (67.1) |
| 1 | 153 (6.3) | 558 (8.6) | 2,105 (18.9) | 1,586 (21.2) | 4,402 (16.0) |
| 2 | 4 (0.2) | 62 (1.0) | 666 (6.0) | 1,519 (20.3) | 2,251 (8.2) |
| 3 | 2 (0.1) | 21 (0.3) | 444 (4.0) | 1,947 (26.0) | 2,414 (8.8) |
1. Tommy emptied his piggy bank and found 21 coins. He had 60 cents worth of nickels. The rest of his coins were dimes and pennies. What is the greatest amount the coins could be worth?
What is the least amount the coins could be worth?
Explain how you arrived at your answer.
81 cents. 39 cents. For the first answer I added 60 to 21. and for the second one I subtracted.
0 -- Values are incorrect and explanation is incorrect.
Tommy had 12 nickles
1 -- Answer contains something correct, identifies that there are 12 nickels.
$1.50. 69 cents.
1 -- Amounts given are partially correct; give greatest and least amounts based on rest of coins being all dimes or all pennies, rather than dimes and pennies.
72 cents. 27 cents.
1 -- Amounts given are partially correct; give greatest and least amounts based on rest of coins being 7 dimes and 2 pennies or vice versa, but do not add in the 60 cents.
81 cents. 18 cents.
1 -- Amounts given are partially correct; give greatest and least amounts based on rest of coins being 8 dimes and 1 penny or vice versa, but do not add in the 60 cents.
$1.41. $.69. $.60 + 9 pennies = $.69.
2 -- The value of $1.41 is correct, and the related work shown is correct. A verbal explanation is not required for this score point.
$1.41. $.78. I found the most dimes and then the most pennies.
nickels = 60 cents = 12 nickels 9 coins left
Dimes = 8 = 80 cents = 8 Dimes.
Pennies = 1 = 1 cent 1 penny
$1.14
nickels = 60 cents = 12 nickels
Dimes = 1 = 10 cents
Pennies 8 = 8 cents
.78 cents
2 -- Both values are correct. There are minor errors in the explanation: $1.14 is given instead of $1.41 and .78 cents is given instaed of $.78.
$1.41. 78
2 -- Both values are correct, but the unit of money is omited in "78". Also, the explanation omits verbiage and the first part of the explanation only shows 20 coins.
$1.32. 87 cents.
60 cents of nickels equals twelve coins. I had nine more coins. I counteded by tens. Everytime I added ten I subtracted one coin. Finally I got to two more coins. Since he had dimes and pennies there had to be two pennies. So I added two pennies and got my first answer
2 -- Both values are correct. An explanation of the first answer is present and correct, but there is no explanation for the second answer.
72 cents. 27 cents.
a nickel is worth 5 cents, so I divided 60 by 5 and got 12. then I subtracted 12 from 21 and got 9. Sibnce both the pennies and the dimes were plural, I added 2 pennies and 7 dimes together. On the 2nd question, I just did it the other way around.
2 -- Amounts given are partially correct (give value of coins other than nickels). The explanation is correct.
$1.50. $.69.
2 -- Answer contains an error since rest of coins are all dimes or all pennies rather than dimes and pennies. Also, the explanation is incomplete as it contains no verbiage.
$1.41. 78 cents.
2 -- Both amounts are correct. The explanation is missing.
81 cents. 18 cents.
First I figured out I needed 9 more coins. I got 81 cents by figuring I could have 8 dimes (80 cents) and 1 penny, it would be the most I could have. I got 18 cents by figuring I could have one dime (10 cents) and 8 penny would be the least I could have.
2 -- Amounts given are partially correct (give value of coins other than nickels). The explanation is correct.
$1.32. $0.87
3 -- The values and explanation are complete and correct.
$1.41. $.78 8 pennies 1 dime 12 nickels
I found the highest has 12 nickels 8 dimes 1 penny. Lowest I can get has 8 pennies 1 dime 12 nickels.
3 -- The values and explanation are complete and correct.
Below is a map of part of the North Carolina coast. Use the map to answer the question.
8. You and your family live in Havelock. Friends who live on the northeast part of Ocracoke Island are planning to drive to visit you. Write a complete set of directgions to help your friends get to Havelock.
| 0 | Answer is unresponsive, unrelated, or inappropriate. |
| 1 | Answer attempts to provide a set of directions that will enable friends to travel from the northeast part of Ocracoke Island to Havelock. (For example, "Drive on highway 12 through Ocracoke and cedar Island, highway 70 through Williston and Beaufort, then turn right on highway 101 and go until you get there.") The directions are sparse or confusing. |
| 2 | Answer provides a set of directions that will enable friends to travel from the northeast part of Ocracoke Island to Havelock. (For example, "Drive southwest on highway 12 to Ocracoke. Take the ferry to Cedar Island. Stay on highway 12 through Cedar Island. Just past Cedar Island highway 12 turns into highway 70. Stay on highway 70 through Williston, Beaufort and Morehead City. In Morehead City, take highway 70 north to Havelock.") The directions may be brief or have minor errors. |
| 3 | Answer provides a complete set of directions that will enable friends to travel from e northeast part of Ocracoke Island to Havelock. (FOr example, "Drive southwest on state highway 12 to Ocracoke. Take the toll ferry to Cedar Island. Drive south on state highway 12 through Cedar Island for about 12 miles where it turns into U.S. 70. Stay on U.S. 70 for about 25 miles going through Williston and Beaufort to Morehead City. In Morehead City, take State hgihway 70 north about 15 miles to Havelock.") The directions are clear and developed. |
SCORE DISTRIBUTION
NOTE: C/F = Cumulative Frequency; C/P = Cumulative Percent
| Frequency | Percent | C/F | C/P |
| 7,435 | 29.0 | 7,435 | 29.0 |
| 14,533 | 56.7 | 21,968 | 85.7 |
| 3,413 | 13.3 | 25,381 | 99.0 |
| 263 | 1.0 | 25,646 | 100.0 |
SCORE DISTRIBUTION BY ACHIEVEMENT LEVEL
NOTE: FCP = Frequency Column Percent
| FCP | Level I | Level II | Level III | Level IV |
| 0 | 2,163 (61.9) | 2,515 (40.3) | 2,270 (21.4) | 458 (8.7) |
| 1 | 1,237 (35.4) | 3,357 (53.9) | 6,720 (63.3) | 3,198 (60.9) |
| 2 | 89 (2.5) | 348 (5.6) | 1,537 (14.5) | 1,436 (27.3) |
| 3 | 3 (0.1) | 13 (0.2) | 87 (0.8) | 162 (3.1) |
| TOTAL | 3,492 | 6,233 | 10,614 | 5,254 |
8. Below is a map of part of the North Carolina coast. Use the map to answer the question. You and your family live in Havelock. Friends who live on the northeast part of Ocracoke Island are planning to drive to visit you. Write a complete set of directions to help your friends get to Havelock.
Beaufort and then go up and then you there.
0 -- Answer is inappropriate.
go in to Cedar Island and go to Williston and go to Beafort and Morehead City and you are at havelock.
1 -- Directions are sparse and confusing.
They need to drive to highway 12 up north and go to the coast then keep going on highway 12 to Cedar Island and keep going on highway 12 going southwest to highway 70 then keep going to Beaufort and go west to Morehead City and then follow highway 70 up north to Havelock.
2 -- A set of directions is provided, but the directions have minor errors in them.
First go south untill you get to Ockracoke. Then take the toll ferry to Cedar Island. Then go south on the State highway 12 about 10 miles untill it leeds to US Highway 70. Keep going on US Highway 70 about 20 miles. You will pass Williston. Go north on to State highway 101 at Beaufort. After about 15 miles you will be at Havenlock.
3 -- A set of complete directions is provided. The directions are clear and developed.
6. Study the numbers in the chart below. What number goes in the square? Explain how you came up with your answer.
| 0 | Answer is unresponsive, unrelated, or inappropriate. |
| 1 | Answer contains something correct. The response contains correct answer, 15; with an incorrect or missing explanation; or answer is incorrect, but explanation has some merit. |
| 2 | Answer contains correct numerical answer of 15 and the explanation while not incorrect, is not clear or complete; or the explanation is clear, complete and correct and numerical answer is incorrect. |
| 3 | Answer is complete and correct. Response contains correct numerical answer and explanation is clear and complete. |
SCORE DISTRIBUTION
NOTE: C/F = Cumulative Frequency; C/P = Cumulative Percent
| Frequency | Percent | C/F | C/P |
| 15,798 | 60.9 | 15,798 | 60.9 |
| 7,066 | 27.2 | 22,864 | 88.1 |
| 1,932 | 7.4 | 24,796 | 95.5 |
| 1,163 | 4.5 | 25,959 | 100 |
SCORE DISTRIBUTION BY ACHIEVEMENT LEVEL
NOTE: FCP = Frequency Column Percent
| FCP | Level I | Level II | Level III | Level IV |
| 0 | 2,306 (84.9) | 5,104 (73.3) | 6,387 (56.9) | 1,983 (39.4) |
| 1 | 348 (12.8) | 1,446 (10.8) | 3,479 (31.0) | 1,787 (35.5) |
| 2 | 54 (2.0) | 309 (4.4) | 888 (7.9) | 679 (13.5) |
| 3 | 9 (0.3) | 102 (1.5) | 463 (4.1) | 587 (11.7) |
| TOTAL | 2,717 | 6,961 | 11,217 | 5,036 |
6. Study the numbers in the chart below. What number goes in the square? Explain how you came up with your answer.
8
It's 8 because to make these shape you have to have 4 vertice and 4 sides.
0 -- Answer is inappropriate.
17
I came up with my answer 17 because you only have to say the dots are two more numbers than the one before.
1 -- Numerical answer is incorrect, but the explanation has some merit.
15
When 3 goes in 5 comes out then 4 goes in and 7 comes out it means there two places apart.
2 -- Numerical answer is correct, but the explanation is sparse and unclear.
15
You double the number and subtract one.
3 -- Numerical answer is correct. Explanation is clear and complete.
3. Shade the first grid to show 0.35. Shade the second grid to show 0.53.
Explain how the grids help you know which of these decimal number is larger.
| 0 | Answer is unresponsive, unrelated, or inappropriate. Answer contains nothing correct. |
| 1 | Answer contains one decimal correctly depicted. OR, the explanation is partially correct in describing why 0.53 is the larger decimal. |
| 2 | The answer is nearly correct. For instance, both decimals may be correctly depicted; or, one decimal mayt be correctly depicted with a correct explanation. |
| 3 | Answer is complete and correct. The depictions of the decimals and the explanation are complete and correct. |
SCORE DISTRIBUTION BY ACHIEVEMENT LEVEL
NOTE: FCP = Frequency Column Percent
| FCP | Level I | Level II | Level III | Level IV | Total |
| 0 | 1,198 (49.4) | 2,193 (33.8) | 2,416 (21.7) | 826 (11.0) | 6,633 (24.1) |
| 1 | 310 (12.8) | 692 (10.7) | 838 (7.5) | 375 (5.0) | 2,215 (8.0) |
| 2 | 841 (34.7) | 3,180 (48.9) | 6,322 (56.8) | 4,340 (57.9) | 14,683 (53.3) |
| 3 | 75 (3.1) | 432 (6.6) | 1,556 (14.0) | 1,950 (26.0) | 4,013 (14.6) |
3. Shade the first grid to show 0.35. Shade the second grid to show 0.53.
Explain how the grids help you know which of these decimal numbers is larger.
Because all you had to do is turn them around.
0 -- Answer contains nothing correct. Shadings are incorrect, cannot use small squares to represent both tenths and hundredths. Explanation is incorrect.
Circle is the bigest one
0 -- Answer contains nothing correct. Shadings are incorrect. Explanation does not relate decimal values to size.
1 -- Answer contains something correct. The shading of .53 is correct.
cause one of them is color more blocks
1 -- Answer contains something correct. While both shadings are incorrect, the explanation is partially correct.
l0.35 < 0.53
no whole number so look at 35 and 53. 53 is larger
1 -- Answer contains something correct. The shadings are missing. The explanation is complete and correct.
one has 0.35 bars.
one has 0.53 bars
2 -- Answer contains something incorrect. Both shadings are correct, but the explanation is unclear.
0.53 is the largest, because if you put one on top of the other the tenths digit is the largest in 0.53
2 -- Answer contains something incorrect. The .35 shading is incorrect.
0.53 is bigger because it has 50 tenths and 0.35 has 30 tenths.
2 -- Answer contains something incorrect. Both shadings are correct, but the explanation contains minor errors ("50 tenths" and "30 tenths").
5 is larger than 3
2 -- Answer addresses most aspects of the question, but something is missing. Both shadings are correct, but the explanation is incomplete.
Becaus 53 is larger than 35 so 0.53 is larger than 0.35
3 -- Answer is complete and correct.
0.53 is larger than 0.35 because I had to shade in 18 more blocks to show it.
3 -- Answer is complete and correct.
2. My calculator has two broken keys, the 6 and the 8. Explain, step by step, what I could enter into my calculator to solve the following problem: 136 + 188.
| 0 | Answer is unresponsive, unrelated, or inappropriate. Answer contains nothing correct. |
| 1 | Answer contains something correct, such as a beginning strategy for adding 136 and 188 without using at least one of the broken keys, two numbers which have a sum of 324 and do not contain 6 or 8, etc. |
| 2 | Answer deals correctly with most aspects of the problem, but something is missing. May deal with all aspects but have minor errors. |
| 3 | Answer is complete and correct. A step by step explanation of what to enter into a calculator to solve the given problem (without using a 6 or an 8) is described. |
SCORE DISTRIBUTION BY ACHIEVEMENT LEVEL
NOTE: FCP = Frequency Column Percent
| FCP | Level I | Level II | Level III | Level IV | Total |
| 0 | 2,234 (92.2) | 5,081 (78.2) | 5,649 (50.7) | 1,783 (23.8) | 14,747 (53.5) |
| 1 | 139 (5.7) | 892 (13.7) | 2,421 (21.7) | 1,302 (17.4) | 4,754 (17.3) |
| 2 | 36 (1.5) | 308 (4.7) | 1,382 (12.4) | 1,454 (19.4) | 3,180 (11.5) |
| 3 | 15 (0.6) | 216 (3.3) | 1,680 (15.1) | 2,952 (39.4) | 4,863 (17.7) |
1. My calculator has two broken keys, the 6 and the 8. Explain, step by step, what I could punch into my calculator to solve the following problem: 136 + 188.
136 + 188 = 324
0 -- The addition of the two numbers is inappropriate.
You could add 137 + 199 and then take three number off the answer.
0 -- The sum of these two numbers is not the same as the sum of 136 and 188. The rest of the explanation is unclear.
You can punch in 1,333 the plus sine 14,444 then your = sine on the calculator and the answer will show up on the screen.
0 -- The procedure described is incorrect.
Type in 130 + 100 + 3 + 3 + 4 + 4 + 4 + 4 =
1 -- answer is partially correct; the student has correctly broken down the 136. However, there are problems in the breakdown of the 188, and only a minimal explanation.
You could add 199 + 125. That could get your answer
1 -- Answer contains two numbers which have a sum of 324 and do not contain 6 or 8. No step by step explanation is present.
For the 6 you 5 + 1 = 6 and for the 8 5 + 3 = 8 so that how you would do it.
1 -- Answer contains a correct beginning strategy for adding 136 and 188 which does not use the broken keys.
Put 133 plus three, then put 140 times two. That should make 180. Plus 4 makes 184 then put plus 4 again, add 133 + 3 + 140 X 2 + 4 + 4
2 -- A step by step explanation is present, the majority of which is correct. However, an error is also present: 140 times two does not equal 180.
You could punch in 140 + 190 which equals 330 then -6 will give you the correct answer because 140 and 190 is 6 more than 136 and 188.
2 -- A step by step explanation is present. However, if the subtraction of 6 is done using the calculator, they would have to use a broken key.
You say 135 + 1 = 136, 177 + 11 = 188. Push 135 + 1 = 136 = 324.
2 -- A correct procedure is given with a minor omission (omits 177 + 11 at end).
133
+ 3
+144
+44
3 -- The answer is complete and correct.
Think 136 minus 11 equals 125 + 188 plus 11 equals 199. Then punch 125 plus 199 equals 324
3 -- The explanation is complete and correct.
Use 131 + 5 for 136 and 173 + 15 for 188. Then punch 131 + 5 + 173 + 15 =.
3 -- The explanation is complete and correct.
1. Explain why you think Gabriel only remembered getting the "right answer" and the "butter sandwich" out of all that happened to him that day? Use references from the story in your explanation.
| 0 | Answer is unresponsive, unrelated, or inappropriate. |
| 1 | Answer explains why the student thinks Gabriel only remembered getting the "right answer" and/or the "butter sandwich." The explanation, if present, why the student thinks Gabriel remembered this out of all that happened to him that day may be literal (e.g., was thinking hard about things), or it may address the idea of being lonelfy, unhappy, or pride and be sparse or confusing. |
| 2 | Answer explains why the student thinks Gabriel only remembered getting the "right answer" and the "butter sandwich" out of all that happened to him that day. The explanation goes beyond the literal and references the passage but may be brief or have minor errors. |
| 3 | Answer explains why the student thinks Gabriel only remembered getting the "right answer" and the "butter sandwich" out of all that happened to him that day. The explanation specifically references the passage, uses evaluation or analysis and is clear and developed. |
SCORE DISTRIBUTION BY ACHIEVEMENT LEVEL
NOTE: FCP = Frequency Column Percent
| FCP | Level I | Level II | Level III | Level IV | Total |
| 0 | 1,703 (57.6) | 2,741 (40.1) | 2,356 (26.3) | 435 (7.6) | 7,235 (26.3) |
| 1 | 1,209 (40.9) | 3,747 (54.8) | 7,369 (61.8) | 3,126 (54.3) | 15,451 (56.2) |
| 2 | 43 (1.5) | 343 (5.0) | 2,041 (17.1) | 1,899 (33.0) | 4,326 (15.7) |
| 3 | 3 (0.1) | 9 (0.1) | 160 (1.3) | 292 (5.1) | 464 (1.7) |
1. Explain why you think Gabriel only remembered getting the "right answer" and the "butter sandwich" out of all that happened to him that day? Use references from the story in your explanation.
Gabriel was think that he would like to live outside all the time.
0 -- Answer is inappropriate; it does not explain why he remembered the "right answer" and "butter sandwich."
He rememberd the cat
0 -- Answer is inappropriate; it does not explain why he remembered the "right answer" and "butter sandwich."
Gabriel remembered the "right answer" and the "butter sandwich" out of all that happened to him that day because he kept on thinking about thing that happened that day.
1 -- Answer gives a sparse, literal explanation (kept on thinking about thing that happened that day) why he remembered the "right answer" and "butter sandwich."
I think he remembered the right answer because he was the only one that knew the answer. I think he remembered the butter sandwich because that was what he had for lunch.
1 -- Answer explains Gabriel remembered the "right answer" (only one that knew the answer) and "butter sandwich" (what he had for lunch). The explanation is sparse and literal.
He was so happy he got the right answer it just stayed in his head. That was something he would remember for quite along time. It made him feel good thinking about school. The butter sandwich could of been all he had to eat that day.
2 -- Answer explains why Gabriel remembered the "right answer" and "butter sandwich." The explanation references the passage, goes beyond the literal (happy he got the right answer, remember for quite along time) but is brief.
Because he liked thos to things best in his hole day. He enjoyed them a very lot and was fond of them. Getting the right answer made him proud and I guess the butter sandwhich tasted good.
2 -- Answer explains why Gabriel remembered the "right answer" and "butter sandwich." The explanation is brief but references the passage and goes beyond the literal (liked thos to things best in his hole day).
He remembered the right answer because he was the only one to get the answer and it made him happy. Butter sandwich made him happy too. He was sad because he didn't have anyone to play with so he tried to think of happy things so he wouldn't feel sad and lonely and serious.
3 -- Answer specifically references the passage to explain why Gabriel remembered the "right answer" and "butter sandwich." The explanation uses evaluation (made him happy, tried to think of happy things so he wouldn't feel sad) and is clear and developed.