%PDF-1.3
%
2 0 obj
<<
/Length 4557
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 299.6334 53.0547 Tm
0 g
-0.0001 Tc
0 Tw
([1])Tj
ET
1 g
42 744 528 -100 re
f
BT
/F4 1 Tf
40 0 0 40 91.2118 714.2892 Tm
0 g
-0.072 Tw
[(FOR TEA)39.7(CHERS )-99.8(ONL)119.8(Y)]TJ
/F1 1 Tf
10 0 0 10 214.195 684.2892 Tm
-0.0002 Tc
0.0278 Tw
[(The University of the State of New Y)73.8(o)0(rk)]TJ
12 0 0 12 182.1864 662.2891 Tm
-0.0001 Tc
[(REGENTS HIGH SCHOOL EXAMINA)73.8(TION)]TJ
/F4 1 Tf
20 0 0 20 224.6543 622.0119 Tm
[(MA)89.7(THEMA)89.7(TICS B)]TJ
/F1 1 Tf
11.5 0 0 11.5 179.8056 592.0119 Tm
0 Tc
0 Tw
(T)Tj
0.593 0 TD
-0.0002 Tc
[(uesday)73.7(,)]TJ
/F2 1 Tf
3.6271 0 TD
0 Tc
0.025 Tw
(August 16, 2005 8:30 to 11:30 a.m., only)Tj
/F4 1 Tf
18 0 0 18 243.7499 562.0119 Tm
-0.0001 Tc
0.0278 Tw
(SCORING KEY)Tj
ET
1 g
42 542.26 528 -478.76 re
f
BT
/F1 1 Tf
11.5 0 0 11.5 251.916 532.7298 Tm
0 g
[(Mechanics of Rating)]TJ
/F2 1 Tf
-12.4275 -1.6522 TD
0.036 Tw
(The following procedures are to be followed for scoring student answer papers for the)Tj
-1.5652 -1.1304 TD
0.1115 Tw
(Mathematics B examination. More detailed information about scoring is provided in the)Tj
T*
0 Tw
(publication )Tj
/F3 1 Tf
4.9803 0 TD
0.1039 Tw
(Information Booklet for Scoring the Regents Examinations in Mathematics A)Tj
-4.9803 -1.1304 TD
0.025 Tw
(and Mathematics B)Tj
/F2 1 Tf
8.0283 0 TD
0 Tc
0 Tw
(.)Tj
-6.4631 -1.1304 TD
-0.0001 Tc
0.0372 Tw
(Use only )Tj
/F3 1 Tf
3.9237 0 TD
-0.0002 Tc
0 Tw
(red)Tj
/F2 1 Tf
1.6569 0 TD
-0.0001 Tc
0.0373 Tw
(ink or )Tj
/F3 1 Tf
2.721 0 TD
-0.0002 Tc
0 Tw
(red)Tj
/F2 1 Tf
1.6569 0 TD
-0.0001 Tc
0.0373 Tw
(pencil in rating Regents papers. Do )Tj
/F3 1 Tf
15.0933 0 TD
0 Tw
(not)Tj
/F2 1 Tf
1.62 0 TD
0.0373 Tw
(attempt to correct the)Tj
-28.237 -1.1304 TD
0.1145 Tw
[(student)91.7(s work by making insertions or changes of any kind. Use checkmarks to indicate )]TJ
T*
0.025 Tw
(student errors.)Tj
1.5652 -1.1304 TD
0.1621 Tw
(Unless otherwise specified, mathematically correct variations in the answers will be)Tj
-1.5652 -1.1304 TD
0.0004 Tw
(allowed. Units need not be given when the wording of the questions allows such omissions.)Tj
1.5652 -1.1304 TD
0.2109 Tw
[(Each student)91.7(s answer paper is to be scored by a minimum of three mathematics )]TJ
-1.5652 -1.1304 TD
0.1422 Tw
[(teachers. On the back of the student)91.7(s detachable answer sheet, raters must enter their)]TJ
T*
0.0162 Tw
(initials in the boxes next to the questions they have scored and also write their name in the)Tj
T*
0.025 Tw
[(box under the heading Rater)91.7(s/Scorer)91.7(s Name.)]TJ
1.5652 -1.1304 TD
-0.0169 Tw
[(Raters should record the student)91.7(s scores for all questions and the total raw score on the)]TJ
-1.5652 -1.1304 TD
0.0444 Tw
[(student)91.7(s detachable answer sheet. Then the student)91.7(s total raw score should be converted)]TJ
T*
0.1219 Tw
[(to a scaled score by using the conversion chart that will be posted on the Department)91.7(s )]TJ
T*
0.0011 Tw
(web site http://www)Tj
ET
0 G
0 J 0 j 0.575 w 10 M []0 d
132.737 304.58 m
184.369 304.58 l
S
BT
11.5 0 0 11.5 184.3689 305.7298 Tm
0 Tw
(.emsc.nysed.gov/osa/)Tj
ET
184.369 304.58 m
282.374 304.58 l
S
BT
11.5 0 0 11.5 285.2614 305.7298 Tm
0 Tc
0.0009 Tw
[(on T)73.9(uesday)73.9(, August 16, 2005. The student)91.8(s)0.1( scaled)]TJ
-16.8923 -1.1304 TD
-0.0001 Tc
0.009 Tw
[(score should be entered in the box provided on the student)91.7(s detachable answer sheet. The)]TJ
T*
0.025 Tw
[(scaled score is the student)91.7(s final examination score.)]TJ
/F1 1 Tf
17.3578 -1.6522 TD
-0.0002 Tc
0.0278 Tw
(Part I)Tj
/F2 1 Tf
-15.7926 -1.6522 TD
-0.0001 Tc
-0.0118 Tw
(Allow a total of 40 credits, 2 credits for each of the following. Allow credit if the student)Tj
-1.5652 -1.1304 TD
0.025 Tw
(has written the correct answer instead of the numeral 1, 2, 3, or 4.)Tj
1.0217 -2.7905 TD
-0.0003 Tc
0 Tw
(\(1\))Tj
1.6655 0.0079 TD
0 Tc
(2)Tj
8.2693 -0.0079 TD
-0.0002 Tc
[(\(6\))-500.2(1)-8269.5(\(11\))-500.2(4)-7769.5(\(16\))-500.2(1)]TJ
-9.9348 -2.6087 TD
-0.0003 Tc
(\(2\))Tj
1.6655 0.0079 TD
0 Tc
(3)Tj
8.2693 -0.0079 TD
-0.0002 Tc
[(\(7\))-500.2(3)-8269.5(\(12\))-500.2(2)-7769.5(\(17\))-500.2(2)]TJ
-9.9348 -2.4269 TD
[(\(3\))-500.2(4)-7769.5(\(8\))-500.2(4)-8269.5(\(13\))-500.2(3)-7769.5(\(18\))-500.2(1)]TJ
0 -2.6087 TD
[(\(4\))-500.2(3)-7769.5(\(9\))-500.2(2)-8269.5(\(14\))-500.2(3)-7769.5(\(19\))-500.2(2)]TJ
T*
[(\(5\))-500.2(4)-7291.2(\(10\))-500.2(1)-8247.7(\(15\))-500.2(4)-7769.5(\(20\))-500.2(4)]TJ
ET
Q
endstream
endobj
3 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F4 7 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
11 0 obj
<<
/Length 8541
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 G
0 J 0 j 2 w 10 M []0 d
191.5 485.5 m
202.5 485.5 l
S
42.32 746.78 528 -16.78 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 242.8095 737.2441 Tm
0 g
0 Tc
0 Tw
(M)Tj
8.62 0 0 8.62 252.802 737.2441 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 307.0927 737.2441 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
146.82 576.28 m
157.82 576.28 l
S
1 g
40.32 643.69 529.9 -578.91 re
f
BT
/F1 1 Tf
10 0 0 10 197.0131 635.274 Tm
0 g
-0.0224 Tc
0.0278 Tw
(General Rules for Applying Mathematics Rubrics)Tj
-15.5695 -1.1 TD
[(I. )-228(General Principles for Rating)]TJ
/F2 1 Tf
1.8 -1.5 TD
-0.0201 Tc
0.1624 Tw
(The rubrics for the constructed-response questions on the Regents Examinations in Mathematics A and Mathematics B are)Tj
0 -1.1 TD
0.0776 Tw
(designed to provide a systematic, consistent method for awarding credit. The rubrics are not to be considered all-inclusive; it)Tj
50.0732 0 TD
0 Tc
0 Tw
( )Tj
0.3076 0 TD
-0.0201 Tc
(is)Tj
-50.3808 -1.1 TD
0.0368 Tw
(impossible to anticipate all the different methods that students might use to solve a given problem. Each response must be rate)Tj
50.4527 0 TD
0 Tc
0 Tw
(d)Tj
-50.4527 -1.1 TD
-0.0201 Tc
0.0307 Tw
[(carefully using the teacher)91.6(s professional judgment and knowledge of mathematics; all calculations must be checked. The specifi)]TJ
50.5459 0 TD
0 Tc
0 Tw
(c)Tj
-50.5459 -1.1 TD
-0.0201 Tc
0.0473 Tw
(rubrics for each question must be applied consistently to all responses. In cases that are not specifically addressed in the ru)Tj
48.8603 0 TD
0 Tw
(brics,)Tj
-48.8603 -1.1 TD
0.077 Tw
(raters must follow the general rating guidelines in the publication )Tj
/F3 1 Tf
26.5584 0 TD
(Information Booklet for Scoring the Regents Examinations in)Tj
-26.5584 -1.1 TD
0.0211 Tw
(Mathematics A and Mathematics B)Tj
/F2 1 Tf
13.8665 0 TD
(, use their own professional judgment, confer with other mathematics teachers, and/or contact)Tj
-13.8665 -1.1 TD
0.0327 Tw
(the consultants at the State Education Department for guidance. During each Regents examination administration period, rating)Tj
T*
0.1831 Tw
(questions may be referred directly to the Education Department. The contact numbers are sent to all schools before each)Tj
T*
0.025 Tw
(administration period.)Tj
/F1 1 Tf
-1.8 -1.7 TD
-0.0224 Tc
0.0278 Tw
[(II. Full-Credit Responses)]TJ
/F2 1 Tf
1.8 -1.5 TD
-0.0201 Tc
0.0428 Tw
(A full-credit response provides a complete and correct answer to all parts of the question. Sufficient work is shown to enable )Tj
49.6969 0 TD
0 Tw
(the)Tj
-49.6969 -1.1 TD
0.025 Tw
[(rater to determine how the student arrived at the correct answer)73.7(.)]TJ
0 -1.7 TD
-0.0251 Tc
-0.0285 Tw
(When the rubric for the full-credit response includes one or more examples of an acceptable method for solving the question \(us)Tj
49.1479 0 TD
0 Tw
(ually)Tj
-49.1479 -1.1 TD
0.0927 Tw
(introduced by the phrase such as\), it does )Tj
/F5 1 Tf
17.7072 0 TD
-0.028 Tc
0 Tw
(not)Tj
/F2 1 Tf
1.6969 0 TD
-0.0251 Tc
0.0927 Tw
(mean that there are no additional acceptable methods of arriving at the correct)Tj
-19.4041 -1.1 TD
0.0391 Tw
[(answer)73.9(. Unless otherwise specified, mathematically correct alternative solutions should be awarded credit. The only exceptions )]TJ
49.7459 0 TD
0 Tw
(are)Tj
-49.7459 -1.1 TD
-0.0062 Tw
(those questions that specify the type of solution that must be used; e.g., an algebraic solution or a graphic solution. A corre)Tj
46.9617 0 TD
(ct solution)Tj
-46.9617 -1.1 TD
0.025 Tw
(using a method other than the one specified is awarded half the credit of a correct solution using the specified method.)Tj
/F1 1 Tf
-1.8 -1.7 TD
-0.0224 Tc
0.0278 Tw
[(III. Appropriate W)54.9(ork)]TJ
/F3 1 Tf
1.8 -1.5 TD
-0.0201 Tc
-0.0084 Tw
(Full-Credit Responses:)Tj
/F2 1 Tf
9.0833 0 TD
(The directions in the examination booklet for all the constructed-response questions state: Clearly indicate)Tj
-9.0833 -1.1 TD
0.167 Tw
(the necessary steps, including appropriate formula substitutions, diagrams, charts, etc. The student has the responsibility of)Tj
T*
0.0148 Tw
(providing the correct answer )Tj
/F5 1 Tf
11.5443 0 TD
-0.0223 Tc
0 Tw
(and)Tj
/F2 1 Tf
1.8629 0 TD
-0.0201 Tc
0.0148 Tw
(showing how that answer was obtained. The student must construct the response; the teacher)Tj
-13.4072 -1.1 TD
0.1076 Tw
(should not have to search through a group of seemingly random calculations scribbled on the student paper to ascertain what)Tj
T*
0.025 Tw
(method the student may have used. )Tj
/F3 1 Tf
0 -1.7 TD
0.048 Tw
[(Responses W)17.8(ith Errors:)]TJ
/F2 1 Tf
9.6232 0 TD
(Rubrics that state Appropriate work is shown, but are intended to be used with solutions that show)Tj
-9.6232 -1.1 TD
0.0478 Tw
(an essentially complete response to the question but contain certain types of errors, whether computational, rounding, graphing)Tj
50.7397 0 TD
0 Tc
0 Tw
(,)Tj
-50.7397 -1.1 TD
-0.0201 Tc
0.0541 Tw
(or conceptual. If the response is incomplete, i.e., an equation is written but not solved or an equation is solved but not all )Tj
48.6381 0 TD
(of the)Tj
-48.6381 -1.1 TD
0.025 Tw
(parts of the question are answered, appropriate work has )Tj
/F5 1 Tf
22.6811 0 TD
-0.0224 Tc
0 Tw
(not)Tj
/F2 1 Tf
1.651 0 TD
-0.0201 Tc
0.025 Tw
(been shown. Other rubrics address incomplete responses.)Tj
/F1 1 Tf
-26.1321 -1.7 TD
-0.0224 Tc
0.0278 Tw
[(IV)128.8(. Multiple Errors)]TJ
/F3 1 Tf
1.8 -1.5 TD
-0.0201 Tc
0.03 Tw
(Computational Errors, Graphing Errors, and Rounding Errors: )Tj
/F2 1 Tf
25.4579 0 TD
(Each of these types of errors results in a 1-credit deduction. Any)Tj
-25.4579 -1.1 TD
0.0593 Tw
(combination of two of these types of errors results in a 2-credit deduction. No more than 2 credits should be deducted for such)Tj
T*
0.0091 Tw
[(mechanical errors in any response. The teacher must carefully review the student)91.4(s work to determine what errors were made and)]TJ
T*
0.025 Tw
(what type of errors they were.)Tj
/F3 1 Tf
0 -1.7 TD
0.0845 Tw
(Conceptual Errors: )Tj
/F2 1 Tf
7.9604 0 TD
(A conceptual error involves a more serious lack of knowledge or procedure. Examples of conceptual errors)Tj
-7.9604 -1.1 TD
0.1309 Tw
(include using the incorrect formula for the area of a figure, choosing the incorrect trigonometric function, or multiplying the)Tj
T*
0.0529 Tw
(exponents instead of adding them when multiplying terms with exponents. A response with one conceptual error can receive no)Tj
T*
0.025 Tw
(more than half credit. )Tj
0 -1.7 TD
0.075 Tw
[(If a response shows repeated occurrences of the same conceptual error)73.6(, the student should not be penalized twice. If the same)]TJ
0 -1.1 TD
0.025 Tw
(conceptual error is repeated in responses to other questions, credit should be deducted in each response.)Tj
0 -1.7 TD
0.0268 Tw
(If a response shows two \(or more\) different major conceptual errors, it should be considered completely incorrect and receive n)Tj
50.4898 0 TD
0 Tc
0 Tw
(o)Tj
-50.4898 -1.1 TD
-0.0201 Tc
(credit.)Tj
0 -1.7 TD
0.0256 Tw
[(If a response shows one conceptual error and one computational, graphing, or rounding error)73.6(, the teacher must award credit that)]TJ
0 -1.1 TD
0.0193 Tw
(takes into account both errors: i.e., awarding half credit for the conceptual error and deducting 1 credit for each mechanical )Tj
48.9791 0 TD
0 Tw
(error)Tj
-48.9791 -1.1 TD
0.025 Tw
(\(maximum of two deductions for mechanical errors\). )Tj
ET
1 g
42.01 63.17 528.36 -15.21 re
f
BT
10 0 0 10 300.3619 54.7459 Tm
0 g
-0.0001 Tc
0 Tw
([2])Tj
ET
1 g
44.32 720.32 526 -69.32 re
f
BT
11.5 0 0 11.5 66.316 707.7866 Tm
0 g
0.1697 Tw
[(Updated information regarding the rating of this examination may be posted on the New Y)54.8(ork State)]TJ
-1.5652 -1.0435 TD
0.0449 Tw
[(Education Department)91.7(s web site during the rating period. V)17.7(isit the site http://www)]TJ
ET
0 G
0.575 w
395.835 694.637 m
447.467 694.637 l
S
BT
11.5 0 0 11.5 447.4672 695.7866 Tm
0 Tw
(.emsc.nysed.gov/osa/)Tj
ET
447.467 694.637 m
545.473 694.637 l
S
BT
11.5 0 0 11.5 548.8636 695.7866 Tm
-0.0002 Tc
(and)Tj
-43.5259 -1.0435 TD
-0.0001 Tc
0.04 Tw
(select the link Latest Information for any recently posted information regarding this examination. This site)Tj
T*
-0.0084 Tw
(should be checked before the rating process for this examination begins and at least one more time before the)Tj
T*
0.025 Tw
(final scores for the examination are recorded.)Tj
ET
1 w
43.82 720.82 527 -70.32 re
264.238 659.787 m
S
Q
endstream
endobj
12 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
15 0 obj
<<
/Length 675
>>
stream
22a
endstream
endobj
17 0 obj
<<
/Length 675
>>
stream
22a
endstream
endobj
19 0 obj
<<
/Length 675
>>
stream
22b
endstream
endobj
22 0 obj
<<
/Length 4967
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
91.56 631.63 432 -484.67 re
f
BT
/F2 1 Tf
11.5 0 0 11.5 92.5581 622.0992 Tm
0 g
-0.0002 Tc
0 Tw
(\(21\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(70, and appropriate work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational error is made.)Tj
/F5 1 Tf
12 0 0 12 301.6738 572.0992 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.5581 553.0992 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one conceptual error is made.)Tj
/F5 1 Tf
12 0 0 12 301.6738 534.0992 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.5581 515.0992 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0957 Tw
(The values for )Tj
/F3 1 Tf
6.4039 0 TD
0 Tc
0 Tw
(n)Tj
/F2 1 Tf
0.8826 0 TD
-0.0001 Tc
0.0957 Tw
(= 1 through )Tj
/F3 1 Tf
5.4134 0 TD
0 Tc
0 Tw
(n)Tj
/F2 1 Tf
0.8826 0 TD
-0.0001 Tc
0.0957 Tw
[(= 5 are computed correctly)73.8(, but they are not)]TJ
-13.5824 -1.1304 TD
0 Tw
(added.)Tj
/F5 1 Tf
12 0 0 12 301.6738 483.0992 Tm
-0.0003 Tc
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.5581 464.0992 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(70, but no work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
-4.8696 -3.7391 TD
-0.0002 Tc
0 Tw
(\(22\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([2])Tj
/F2 1 Tf
3.6809 0 TD
-0.0001 Tc
0.1266 Tw
(or an equivalent fraction or .1646, and appropriate work is shown, such )Tj
-1.9418 -1.913 TD
0 Tc
0.025 Tw
[(as )]TJ
1.9139 0 TD
0.025 Tc
0 Tw
( .)Tj
/F1 1 Tf
-3.6531 -3.7391 TD
-0.0003 Tc
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational or rounding error is made.)Tj
/F5 1 Tf
12 0 0 12 301.6738 293.0992 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.5581 274.0992 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.059 Tw
(Appropriate work is shown, but one conceptual error is made, such as finding)Tj
0 -1.1304 TD
0.025 Tw
(the probability of choosing at least three even-numbered channels.)Tj
/F5 1 Tf
12 0 0 12 301.6738 242.0992 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.5581 223.0992 Tm
([1])Tj
/F2 1 Tf
3.7114 0 TD
-0.0001 Tc
0.025 Tw
(or an equivalent fraction or .1646, but no work is shown.)Tj
/F1 1 Tf
-3.7114 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
149.56 239.9 17.52 -24.8 re
f
/EmbeddedDocument /MC1 BDC
Q
q
1 i
149.56 239.9 17.52 -24.8 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
151.56 227.454 m
166.56 227.454 l
S
Q
BT
/F2 1 Tf
9 0 0 9 154.685 230.2975 Tm
0 g
0 Tc
0 Tw
(40)Tj
-0.2639 -1.316 TD
(243)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
149.56 393.9 17.72 -24.8 re
f
/EmbeddedDocument /MC2 BDC
Q
q
1 i
149.56 393.9 17.72 -24.8 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
151.56 381.454 m
166.56 381.454 l
S
Q
BT
9 0 0 9 154.685 384.2975 Tm
(40)Tj
-0.2639 -1.316 TD
(243)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
40.46 61.47 528.36 -15.2 re
f
BT
10 0 0 10 299.6334 53.0547 Tm
0 g
-0.0002 Tc
[([3])-22199.6([OVER])]TJ
ET
1 g
42.09 742.62 528 -30 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 242.588 733.0905 Tm
0 g
0 Tc
(M)Tj
8.62 0 0 8.62 252.5805 733.0905 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 306.8712 733.0905 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
1 g
89.69 712.29 432 -62.72 re
f
BT
/F1 1 Tf
12 0 0 12 287.0854 702.3861 Tm
0 g
0.0278 Tw
(Part II)Tj
/F2 1 Tf
-14.3659 -1.5833 TD
-0.0001 Tc
0.1105 Tw
(For each question, use the specific criteria to award a maximum of two credits.)Tj
-2 -1.0833 TD
0.2727 Tw
(Unless otherwise specified, mathematically correct alternative solutions should be)Tj
T*
0.025 Tw
(awarded appropriate credit.)Tj
ET
/EmbeddedDocument /MC3 BDC
Q
q
1 i
158.97 374.1 64.83 -36.08 re
228.634 657.386 m
W* n
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
0 G
0 J 0 j 0.25 w 10 M []0 d
183.729 357.413 m
189.354 357.413 l
205.666 357.413 m
211.291 357.413 l
S
BT
7 0 0 7 161.26 352.35 Tm
1.2321 Tc
(53)Tj
4.8661 2.0446 TD
2.6696 Tc
(32)Tj
9 0 0 9 184.1662 359.4125 Tm
0 Tc
(1)Tj
0.0139 -1.0972 TD
(3)Tj
2.4375 1.0972 TD
(2)Tj
0 -1.0972 TD
(3)Tj
/F3 1 Tf
11 0 0 11 165.885 355.1 Tm
(C)Tj
/F7 1 Tf
1.108 0.3892 TD
()Tj
0 -0.892 TD
()Tj
1.0511 0.892 TD
()Tj
0 -0.892 TD
()Tj
0.9432 0.892 TD
()Tj
0 -0.892 TD
()Tj
1.0511 0.892 TD
()Tj
0 -0.892 TD
()Tj
ET
EMC
Q
endstream
endobj
23 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
/F7 24 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
/Properties <<
/MC1 16 0 R
/MC2 18 0 R
/MC3 20 0 R
>>
>>
endobj
25 0 obj
<<
/Length 672
>>
stream
24
endstream
endobj
28 0 obj
<<
/Length 3642
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
89.5 714.91 432 -491.64 re
f
BT
/F2 1 Tf
11.5 0 0 11.5 90.5 705.3738 Tm
0 g
-0.0002 Tc
0 Tw
(\(23\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(32, and appropriate work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational error is made.)Tj
/F5 1 Tf
12 0 0 12 299.6157 655.3738 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 636.3738 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Only the constant of variation, 28,800, is found.)Tj
/F5 1 Tf
12 0 0 12 299.6157 617.3738 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 598.3738 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(32, but no work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Direct variation is used.)Tj
/F5 1 Tf
12 0 0 12 299.6157 548.3738 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 529.3738 Tm
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
-4.8696 -3.7391 TD
-0.0002 Tc
0 Tw
(\(24\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
[(6.9, and appropriate work is shown, such as 2.4 165 )-1685.6(.)]TJ
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational or rounding error is made.)Tj
/F5 1 Tf
12 0 0 12 299.6157 423.3738 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 404.3738 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one conceptual error is made.)Tj
/F5 1 Tf
12 0 0 12 299.6157 385.3738 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 366.3738 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but the calculations are performed in radians.)Tj
/F5 1 Tf
12 0 0 12 299.6157 347.3738 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 328.3738 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0231 Tw
(Correct substitution is made into the equation for the length of the arc, but no)Tj
0 -1.1304 TD
0.025 Tw
(further correct work is shown.)Tj
/F5 1 Tf
12 0 0 12 299.6157 296.3738 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 277.3738 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(6.9, but no work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
413.2 484.95 17.38 -15.58 re
f
/EmbeddedDocument /MC4 BDC
Q
q
1 i
413.2 484.95 17.38 -15.58 re
W* n
0 G
0 J 0 j 0.25 w 10 M []0 d
415.497 477.763 m
429.997 477.763 l
S
Q
BT
/F2 1 Tf
9 0 0 9 415.7475 470.4188 Tm
0 g
0 Tc
0 Tw
(180)Tj
/F7 1 Tf
9 0 1.98 9 419.6537 480.2938 Tm
()Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 298.8148 53.0541 Tm
0 g
-0.0001 Tc
([4])Tj
ET
1 g
41.5 743 528 -17 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 240.5272 733.4677 Tm
0 g
0 Tc
(M)Tj
8.62 0 0 8.62 250.5198 733.4677 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 304.8105 733.4677 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
Q
endstream
endobj
29 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
/F7 24 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
/Properties <<
/MC4 26 0 R
>>
>>
endobj
31 0 obj
<<
/Length 3248
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 299.6334 53.0547 Tm
0 g
-0.0002 Tc
0 Tw
[([5])-22199.6([OVER])]TJ
ET
1 g
42 744 528 -17 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 241.0272 734.4677 Tm
0 g
0 Tc
(M)Tj
8.62 0 0 8.62 251.0198 734.4677 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 305.3105 734.4677 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
1 g
92.32 715.45 432 -354.6 re
f
BT
/F2 1 Tf
11.5 0 0 11.5 93.3232 705.9147 Tm
0 g
(\(25\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.1323 Tw
(A complete and correct explanation is written, such as stating that since the)Tj
0 -1.1304 TD
0.0172 Tw
(graph lies entirely above the )Tj
/F3 1 Tf
11.9563 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
0.4258 0 TD
-0.0001 Tc
0.0172 Tw
(-axis, there is no point on the graph where )Tj
/F3 1 Tf
17.7554 0 TD
0 Tc
0 Tw
(y)Tj
/F2 1 Tf
0.7672 0 TD
-0.0001 Tc
0.0173 Tw
(= 0.)Tj
/F1 1 Tf
-32.6438 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.028 Tw
(An incomplete or partially correct explanation is written, such as stating that the)Tj
0 -1.1304 TD
0.025 Tw
(equation has imaginary roots.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
-4.8696 -3.7391 TD
-0.0002 Tc
0 Tw
(\(26\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.1035 Tw
(2 cos )Tj
/F3 1 Tf
2.5207 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
0.4258 0 TD
-0.0001 Tc
0.1035 Tw
(, and appropriate work is shown, such as factoring the numerator and)Tj
-2.9465 -1.3913 TD
0.025 Tw
(substituting cos)Tj
7.99 0 0 7.99 223.145 549.7096 Tm
0 Tc
0 Tw
(2)Tj
/F3 1 Tf
11.5 0 0 11.5 230.3039 545.9146 Tm
(x)Tj
/F2 1 Tf
0.7008 0 TD
-0.0001 Tc
0.025 Tw
(for 1 sin)Tj
7.99 0 0 7.99 286.3794 549.7096 Tm
0 Tc
0 Tw
(2)Tj
/F3 1 Tf
11.5 0 0 11.5 293.5382 545.9146 Tm
(x)Tj
/F2 1 Tf
0.4258 0 TD
(.)Tj
/F1 1 Tf
-14.7053 -2.6956 TD
-0.0003 Tc
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.048 Tw
(Appropriate work is shown, but one factoring or substitution error is made, or)Tj
0 -1.1304 TD
0.025 Tw
[(the expression is not simplified completely)73.8(.)]TJ
/F5 1 Tf
12 0 0 12 302.4389 482.9146 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 129.3232 463.9146 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one conceptual error is made.)Tj
/F5 1 Tf
12 0 0 12 302.4389 444.9146 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 129.3232 425.9146 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(2 cos )Tj
/F3 1 Tf
2.3637 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
0.4258 0 TD
-0.0001 Tc
0.025 Tw
(, but no work is shown.)Tj
/F1 1 Tf
-4.5286 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
0 G
0 J 0 j 1 w 10 M []0 d
131.04 371.87 m
486.33 371.87 l
S
Q
endstream
endobj
32 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
33 0 obj
<<
/Length 675
>>
stream
27b
endstream
endobj
35 0 obj
<<
/Length 675
>>
stream
27a
endstream
endobj
38 0 obj
<<
/Length 3964
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 298.8148 53.0541 Tm
0 g
-0.0001 Tc
0 Tw
([6])Tj
ET
1 g
87.13 631.39 432 -395.21 re
f
BT
11.5 0 0 11.5 88.1292 609.8532 Tm
0 g
-0.0002 Tc
(\(27\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
[(88, and appropriate work is shown, such as )-6498.5(and )-4420.9(.)]TJ
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational or rounding error is made.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0287 Tw
(Appropriate work is shown, but two or more computational or rounding errors)Tj
0 -1.1304 TD
0.025 Tw
(are made.)Tj
/F5 1 Tf
12 0 0 12 297.2449 515.8532 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 124.1292 496.8532 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0729 Tw
(Appropriate work is shown, but one conceptual error is made, such as setting)Tj
0 -1.1304 TD
0.025 Tw
(up an incorrect proportion.)Tj
/F5 1 Tf
12 0 0 12 297.2449 464.8532 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 124.1292 445.8532 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0556 Tw
[(The hypotenuse of one of the right triangles is found correctly)73.8(, but no further)]TJ
0 -1.1304 TD
0.025 Tw
(correct work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0065 Tw
(Appropriate work is shown, but one conceptual error and one computational or)Tj
0 -1.1304 TD
0.025 Tw
(rounding error are made.)Tj
/F5 1 Tf
12 0 0 12 297.2449 369.8532 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 124.1292 350.8532 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0888 Tw
(The obtuse triangle is treated as a right triangle, but an appropriate height is)Tj
0 -1.1304 TD
0.025 Tw
[(found for the tower)73.8(.)]TJ
/F5 1 Tf
12 0 0 12 297.2449 318.8532 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 124.1292 299.8532 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(88, but no work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
447.52 624.73 48.84 -24.88 re
f
/EmbeddedDocument /MC5 BDC
Q
q
1 i
447.52 624.73 48.84 -24.88 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
488.707 612.344 m
495.707 612.344 l
S
Q
BT
/F2 1 Tf
11 0 0 11 449.02 609.5 Tm
0 g
0 Tc
0 Tw
[(sin)-211.9(65)]TJ
/F7 1 Tf
2.6847 0 TD
(=)Tj
/F3 1 Tf
1.071 0.4716 TD
(x)Tj
-0.0568 -0.9403 TD
(y)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
352.18 629.39 69.57 -25.54 re
f
/EmbeddedDocument /MC6 BDC
Q
q
1 i
352.18 629.39 69.57 -25.54 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
354.18 614.234 m
380.305 614.234 l
394.617 614.234 m
420.992 614.234 l
S
Q
BT
11 0 0 11 364.7425 619.0775 Tm
(y)Tj
/F2 1 Tf
-0.9148 -1.3494 TD
[(sin)-2510.2(sin)]TJ
1.4233 0 TD
(32)Tj
2.6364 1.1676 TD
(100)Tj
1.017 -1.1676 TD
(33)Tj
/F7 1 Tf
-2.3693 0.6506 TD
(=)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
39.17 742.24 529.53 -17.84 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 238.9578 732.7028 Tm
0 g
(M)Tj
8.62 0 0 8.62 248.9504 732.7028 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 303.241 732.7028 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
1 g
87.4 709.33 432 -65.75 re
f
BT
/F1 1 Tf
12 0 0 12 282.2373 699.4301 Tm
0 g
0.0278 Tw
(Part III)Tj
/F2 1 Tf
-14.153 -1.5833 TD
-0.0001 Tc
0.0934 Tw
(For each question, use the specific criteria to award a maximum of four credits.)Tj
-2 -1.0833 TD
0.2727 Tw
(Unless otherwise specified, mathematically correct alternative solutions should be)Tj
T*
0.025 Tw
(awarded appropriate credit.)Tj
ET
Q
endstream
endobj
39 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
/F7 24 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
/Properties <<
/MC5 34 0 R
/MC6 36 0 R
>>
>>
endobj
40 0 obj
<<
/Length 672
>>
stream
28
endstream
endobj
43 0 obj
<<
/Length 3151
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
42 744 528 -678 re
f
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 299.6334 53.0547 Tm
0 g
-0.0002 Tc
0 Tw
[([7])-22199.6([OVER])]TJ
ET
1 g
90.95 710 432 -363.47 re
f
BT
11.5 0 0 11.5 91.9537 700.4677 Tm
0 g
(\(28\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(15.13, and appropriate work is shown, such as solving the equation)Tj
12.2683 -1.913 TD
0 Tc
0 Tw
(.)Tj
/F1 1 Tf
-14.0074 -2.6957 TD
-0.0003 Tc
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational or rounding error is made.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0287 Tw
(Appropriate work is shown, but two or more computational or rounding errors)Tj
0 -1.1304 TD
0.025 Tw
(are made.)Tj
/F5 1 Tf
12 0 0 12 301.0694 584.4677 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127.9537 565.4677 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one conceptual error is made.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0065 Tw
(Appropriate work is shown, but one conceptual error and one computational or)Tj
0 -1.1304 TD
0.025 Tw
(rounding error are made.)Tj
/F5 1 Tf
12 0 0 12 301.0694 502.4677 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127.9537 483.4677 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0132 Tw
(Correct substitution of values is made into the equation, but no further correct)Tj
0 -1.1304 TD
0.025 Tw
(work is shown.)Tj
/F5 1 Tf
12 0 0 12 301.0694 451.4677 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127.9537 432.4677 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(15.13, but no work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6956 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
148.95 694.41 139.09 -18.94 re
f
/EmbeddedDocument /MC7 BDC
Q
q
1 i
227.45 676.66 m
227.45 682.206 l
231.575 684.56 l
231.575 693.693 l
287.137 693.693 l
287.137 692.613 l
234.05 692.613 l
231.575 676.66 l
W n
0 G
0 J 0 j 0.72 w 10 M []0 d
227.45 682.206 m
229.1 683.141 l
231.575 676.66 l
234.05 692.613 l
287.137 692.613 l
S
Q
BT
/F2 1 Tf
11 0 0 11 150.7 679.41 Tm
0 g
0 Tc
0 Tw
[(236)-238.7(64)-2179(4)-244.3(7)0(5)-1255.7(4)-244.3(75)]TJ
7 0 0 7 260.575 684.3475 Tm
2.5446 Tc
(22)Tj
11 0 0 11 167.1062 679.41 Tm
2.8466 Tc
[(.\()2352.9(.)1886.4(\))2216.5(\()2352.9(.)1886.4(\))]TJ
/F7 1 Tf
1.5994 0 TD
6.9538 Tc
(=+)Tj
11 0 2.42 11 194.1687 679.41 Tm
0 Tc
()Tj
/F3 1 Tf
11 0 0 11 275.6375 679.41 Tm
(h)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
42.97 743 529.53 -19.33 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 242.7623 733.4677 Tm
0 g
(M)Tj
8.62 0 0 8.62 252.7549 733.4677 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 307.0456 733.4677 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
Q
endstream
endobj
44 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
/F7 24 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
/Properties <<
/MC7 41 0 R
>>
>>
endobj
45 0 obj
<<
/Length 672
>>
stream
29
endstream
endobj
47 0 obj
<<
/Length 672
>>
stream
29
endstream
endobj
49 0 obj
<<
/Length 672
>>
stream
29
endstream
endobj
52 0 obj
<<
/Length 4157
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
42 743 528 -678 re
f
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 298.8148 53.0541 Tm
0 g
-0.0001 Tc
0 Tw
([8])Tj
ET
1 g
91.97 711.21 432 -470.88 re
f
BT
11.5 0 0 11.5 92.9735 691.3094 Tm
0 g
-0.0002 Tc
(\(29\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
[(3 and )-934.4(, and appropriate work is shown.)]TJ
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational error is made.)Tj
/F5 1 Tf
12 0 0 12 302.0892 641.3094 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.9735 622.3094 Tm
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but only one of the values is found.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but two or more computational errors are made.)Tj
/F5 1 Tf
12 0 0 12 302.0892 572.3094 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.9735 553.3094 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one conceptual error is made.)Tj
/F5 1 Tf
12 0 0 12 302.0892 534.3094 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.9735 515.3094 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.1971 Tw
(The correct quadratic equation is written in standard form, but no further)Tj
0 -1.1304 TD
0.025 Tw
(correct work is shown.)Tj
/F5 1 Tf
12 0 0 12 302.0892 483.3094 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.9735 464.3094 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
[(An incorrect quadratic equation of equal difficulty is solved appropriately)73.8(.)]TJ
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.1048 Tw
(Appropriate work is shown, but one conceptual error and one computational)Tj
0 -1.1304 TD
0.025 Tw
(error are made.)Tj
/F5 1 Tf
12 0 0 12 302.0892 401.3094 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.9735 382.3094 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
[(An incorrect equation of a lesser degree of difficulty is solved appropriately)73.8(.)]TJ
/F5 1 Tf
12 0 0 12 302.0892 363.3094 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.9735 344.3094 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
[(3 and )-862.9(, but no work is shown.)]TJ
/F1 1 Tf
-1.7391 -2.9565 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
0 Tc
(3 )Tj
/F3 1 Tf
0.775 0 TD
-0.0001 Tc
(or)Tj
/F2 1 Tf
2.0258 0 TD
0.025 Tw
(, but no work is shown.)Tj
/F5 1 Tf
12 0 0 12 346.0892 291.3094 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128.9735 272.3094 Tm
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
172.26 328.21 7.92 -26.9 re
f
/EmbeddedDocument /MC8 BDC
Q
q
1 i
172.26 328.21 7.92 -26.9 re
W* n
0 G
0 J 0 j 0.25 w 10 M []0 d
174.26 315.523 m
179.885 315.523 l
S
Q
BT
/F2 1 Tf
9 0 0 9 174.6975 317.5225 Tm
0 g
0 Tc
0 Tw
(1)Tj
0.0139 -1.0972 TD
(2)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
179.5 362.21 7.92 -26.9 re
f
/EmbeddedDocument /MC9 BDC
Q
q
1 i
179.5 362.21 7.92 -26.9 re
W* n
0 G
0 J 0 j 0.25 w 10 M []0 d
181.5 349.523 m
187.125 349.523 l
S
Q
BT
9 0 0 9 181.9375 351.5225 Tm
(1)Tj
0.0139 -1.0972 TD
(2)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
179.5 709.21 8.75 -26.9 re
f
/EmbeddedDocument /MC10 BDC
Q
q
1 i
179.5 709.21 8.75 -26.9 re
W* n
0 G
0 J 0 j 0.25 w 10 M []0 d
181.5 696.523 m
187.125 696.523 l
S
Q
BT
9 0 0 9 181.9375 698.5225 Tm
(1)Tj
0.0139 -1.0972 TD
(2)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
42.26 743 527.24 -16.67 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 240.9097 733.4677 Tm
0 g
(M)Tj
8.62 0 0 8.62 250.9023 733.4677 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 305.1929 733.4677 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
Q
endstream
endobj
53 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
/Properties <<
/MC8 46 0 R
/MC9 48 0 R
/MC10 50 0 R
>>
>>
endobj
55 0 obj
<<
/Length 2774
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
42 744 528 -678 re
f
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 299.6334 53.0547 Tm
0 g
-0.0002 Tc
0 Tw
[([9])-22199.6([OVER])]TJ
ET
1 g
89.5 711.67 432 -392.71 re
f
BT
11.5 0 0 11.5 90.5 702.1422 Tm
0 g
(\(30\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.1292 Tw
(The function is graphed over the specified interval, and 96, and appropriate)Tj
0 -1.1304 TD
-0.0038 Tw
(work is shown, such as calculating the revenue at 95 and 96 to show that 96 will)Tj
T*
0.025 Tw
(make the hotel profitable or writing an explanation.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0191 Tw
(Appropriate work is shown, but one computational, graphing, or rounding error)Tj
0 -1.1304 TD
0.025 Tw
(is made.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.2639 Tw
(Appropriate work is shown, but two or more computational, graphing, or)Tj
0 -1.1304 TD
0.025 Tw
(rounding errors are made.)Tj
/F5 1 Tf
12 0 0 12 299.6157 569.1422 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 550.1422 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one conceptual error is made.)Tj
/F5 1 Tf
12 0 0 12 299.6157 531.1422 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 512.1423 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(96, and appropriate work is shown, but no graph is drawn.)Tj
/F5 1 Tf
12 0 0 12 299.6157 493.1422 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 474.1422 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
[(The function is graphed correctly)73.8(, but no further correct work is shown.)]TJ
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0798 Tw
(Appropriate work is shown, but one conceptual error and one computational,)Tj
0 -1.1304 TD
0.025 Tw
(graphing, or rounding error are made.)Tj
/F5 1 Tf
12 0 0 12 299.6157 411.1422 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 126.5 392.1422 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(96, but no work is shown and no graph is drawn.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
42.26 743 527.24 -20 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 240.9097 733.4677 Tm
0 g
0 Tc
0 Tw
(M)Tj
8.62 0 0 8.62 250.9022 733.4677 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 305.1929 733.4677 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
Q
endstream
endobj
56 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
58 0 obj
<<
/Length 3792
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
42 743 528 -678 re
f
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 296.3148 53.0541 Tm
0 g
-0.0001 Tc
0 Tw
([10])Tj
ET
1 g
90.19 704.88 432 -418.39 re
f
BT
11.5 0 0 11.5 91.1888 695.3483 Tm
0 g
-0.0002 Tc
(\(31\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([4])Tj
/F2 1 Tf
1.7391 0 TD
0 Tc
(15 )Tj
/F7 1 Tf
1.2193 0 TD
(<)Tj
/F3 1 Tf
0.7681 0 TD
(x)Tj
/F7 1 Tf
0.645 0 TD
(<)Tj
/F2 1 Tf
0.7681 0 TD
(60,)Tj
1.4543 0 TD
-0.0151 Tc
-0.0308 Tw
(and appropriate work is shown, such as solving the algebraic inequality)Tj
-4.8547 -1.1304 TD
0 Tc
0 Tw
(10)Tj
/F3 1 Tf
1.5 0 TD
(x)Tj
/F2 1 Tf
7.99 0 0 7.99 169.3353 686.1433 Tm
(2)Tj
11.5 0 0 11.5 176.4941 682.3483 Tm
0.0249 Tw
(+ 750)Tj
/F3 1 Tf
2.3749 0 TD
0 Tw
(x)Tj
/F2 1 Tf
0.7008 0 TD
0.025 Tw
( 9000 )Tj
/F7 1 Tf
3.05 0 TD
0 Tw
(>)Tj
/F2 1 Tf
0.8238 0 TD
-0.0001 Tc
0.025 Tw
(0 or a graphic solution. )Tj
/F1 1 Tf
-11.2369 -2.6956 TD
-0.0003 Tc
0 Tw
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational or graphing error is made.)Tj
/F5 1 Tf
12 0 0 12 300.3045 632.3483 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127.1888 613.3483 Tm
([3])Tj
/F2 1 Tf
1.7391 0 TD
0 Tc
(15 )Tj
/F7 1 Tf
1.275 0 TD
()Tj
/F3 1 Tf
0.8238 0 TD
(x)Tj
/F7 1 Tf
0.7008 0 TD
()Tj
/F2 1 Tf
0.8238 0 TD
-0.0001 Tc
0.025 Tw
(60, and appropriate work is shown.)Tj
/F1 1 Tf
-5.3626 -2.6957 TD
-0.0003 Tc
0 Tw
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0389 Tw
(Appropriate work is shown, but two or more computational or graphing errors)Tj
0 -1.1304 TD
0.025 Tw
(are made.)Tj
/F5 1 Tf
12 0 0 12 300.3045 550.3483 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127.1888 531.3483 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0652 Tw
(Appropriate work is shown, but one conceptual error is made, such as solving)Tj
0 -1.1304 TD
0.025 Tw
(the equation 10)Tj
/F3 1 Tf
6.9919 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
7.99 0 0 7.99 232.4921 522.1433 Tm
(2)Tj
11.5 0 0 11.5 239.6509 518.3483 Tm
0.0249 Tw
(+ 750)Tj
/F3 1 Tf
2.3749 0 TD
0 Tw
(x)Tj
/F2 1 Tf
0.7008 0 TD
0.025 Tw
( 9000 = 0 for 15 and 60.)Tj
/F5 1 Tf
12 0 0 12 300.3045 499.3483 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127.1888 480.3483 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
[(An incorrect inequality of equal difficulty is solved appropriately)73.8(.)]TJ
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0065 Tw
(Appropriate work is shown, but one conceptual error and one computational or)Tj
0 -1.1304 TD
0.025 Tw
(graphing error are made.)Tj
/F5 1 Tf
12 0 0 12 300.3045 417.3483 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127.1888 398.3483 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
0 Tc
(15 )Tj
/F7 1 Tf
1.275 0 TD
(<)Tj
/F3 1 Tf
0.8238 0 TD
(x)Tj
/F7 1 Tf
0.7008 0 TD
(<)Tj
/F2 1 Tf
0.8238 0 TD
-0.0001 Tc
0.025 Tw
(60, but no work is shown.)Tj
/F1 1 Tf
-5.3626 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
0 Tc
(15 )Tj
/F7 1 Tf
1.275 0 TD
()Tj
/F3 1 Tf
0.8238 0 TD
(x)Tj
/F7 1 Tf
0.7008 0 TD
()Tj
/F2 1 Tf
0.8238 0 TD
-0.0001 Tc
0.025 Tw
(60, and no work is shown. )Tj
/F5 1 Tf
12 0 0 12 300.3045 348.3483 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127.1888 329.3483 Tm
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
43.15 743 527.23 -30 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 241.7938 733.4677 Tm
0 g
0 Tc
0 Tw
(M)Tj
8.62 0 0 8.62 251.7864 733.4677 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 306.0771 733.4677 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
Q
endstream
endobj
59 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
/F7 24 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
60 0 obj
<<
/Length 675
>>
stream
32a
endstream
endobj
62 0 obj
<<
/Length 675
>>
stream
32b
endstream
endobj
64 0 obj
<<
/Length 675
>>
stream
32a
endstream
endobj
66 0 obj
<<
/Length 675
>>
stream
32b
endstream
endobj
69 0 obj
<<
/Length 6289
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
42 744 528 -678 re
f
40.46 61.47 528.36 -15.2 re
f
41.76 742.67 527.24 -30 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 240.4097 733.1343 Tm
0 g
0 Tc
0 Tw
(M)Tj
8.62 0 0 8.62 250.4022 733.1343 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 304.6929 733.1343 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
1 g
42.11 62.7 528.37 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 298.7861 54.2849 Tm
0 g
-0.0001 Tc
[([11])-21949.5([OVER])]TJ
ET
1 g
88.2 705.24 431.2 -495.57 re
f
BT
11.5 0 0 11.5 89.2011 695.7089 Tm
0 g
-0.0002 Tc
(\(32\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Both equations are graphed correctly over the specified domain and the)Tj
0 -1.9131 TD
5.1356 Tw
[(interval is )5110.6(identified.)]TJ
/F1 1 Tf
-1.7391 -2.6956 TD
-0.0003 Tc
0 Tw
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational or graphing error is made.)Tj
/F5 1 Tf
12 0 0 12 297.9168 623.7089 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 125.2011 604.7088 Tm
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.2775 Tw
(Both equations are graphed correctly over the specified domain, but the)Tj
0 -1.1304 TD
0.0219 Tw
(interval is not identified or is written as 1.0472 )Tj
/F7 1 Tf
20.0381 0 TD
0 Tc
0 Tw
()Tj
/F3 1 Tf
0.8208 0 TD
(x)Tj
/F7 1 Tf
0.6977 0 TD
()Tj
/F2 1 Tf
0.8208 0 TD
0.0219 Tw
(1.0472 or 60)Tj
/F7 1 Tf
6.3356 0 TD
0 Tw
()Tj
/F3 1 Tf
0.8208 0 TD
(x)Tj
/F7 1 Tf
0.6977 0 TD
()Tj
/F2 1 Tf
0.8208 0 TD
(60)Tj
-31.0523 -1.6522 TD
-0.0001 Tc
4.8492 Tw
(or .)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0326 Tw
(Appropriate work is shown, but two or more computational or graphing errors)Tj
0 -1.1304 TD
0.025 Tw
(are made.)Tj
/F5 1 Tf
12 0 0 12 297.9168 509.7088 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 125.2011 490.7088 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0069 Tw
(Appropriate work is shown, but one conceptual error is made, such as graphing)Tj
/F3 1 Tf
0 -1.1304 TD
0 Tc
0 Tw
(y)Tj
/F2 1 Tf
0.775 0 TD
-0.0001 Tc
0.025 Tw
(= 4 sin )Tj
/F3 1 Tf
3.0904 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
0.4258 0 TD
(.)Tj
/F5 1 Tf
12 0 0 12 297.9168 458.7088 Tm
-0.0003 Tc
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 125.2011 439.7088 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0074 Tw
(The equation )Tj
/F3 1 Tf
5.742 0 TD
0 Tc
0 Tw
(y)Tj
/F2 1 Tf
0.7426 0 TD
-0.0001 Tc
-0.0074 Tw
(= 4 cos )Tj
/F3 1 Tf
3.1414 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
0.6684 0 TD
-0.0001 Tc
-0.0074 Tw
(is graphed correctly over the specified domain, but no)Tj
-10.2944 -1.1304 TD
0.025 Tw
(further correct work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0128 Tw
(Appropriate work is shown, but one conceptual error and one computational or)Tj
0 -1.1304 TD
0.025 Tw
(graphing error are made.)Tj
/F5 1 Tf
12 0 0 12 297.9168 363.7088 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 125.2011 344.7088 Tm
([1])Tj
/F2 1 Tf
6.5597 0 TD
-0.0001 Tc
0.025 Tw
(, but no work is shown and no graphs are drawn.)Tj
/F1 1 Tf
-6.5597 -2.6956 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(The equation )Tj
/F3 1 Tf
5.8068 0 TD
0 Tc
0 Tw
(y)Tj
/F2 1 Tf
0.775 0 TD
-0.0001 Tc
0.025 Tw
[(= 2 is graphed correctly)73.8(, but no further correct work is shown.)]TJ
/F5 1 Tf
12 0 0 12 297.9168 294.7088 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 125.2011 275.7088 Tm
([0])Tj
/F2 1 Tf
1.7391 0 TD
0 Tc
(1.0472 )Tj
/F7 1 Tf
3.525 0 TD
()Tj
/F3 1 Tf
0.8238 0 TD
(x)Tj
/F7 1 Tf
0.7008 0 TD
()Tj
/F2 1 Tf
0.8238 0 TD
0.025 Tw
(1.0472 or 60)Tj
/F7 1 Tf
6.3448 0 TD
0 Tw
()Tj
/F3 1 Tf
0.8238 0 TD
(x)Tj
/F7 1 Tf
0.7008 0 TD
()Tj
/F2 1 Tf
0.8238 0 TD
-0.0001 Tc
0.025 Tw
[(60)-275(or )-4803.8(, and no work is shown.)]TJ
/F5 1 Tf
12 0 0 12 297.9168 256.7089 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 125.2011 237.7088 Tm
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0128 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
346.15 291.02 53.24 -23.31 re
f
/EmbeddedDocument /MC11 BDC
Q
q
1 i
346.15 291.02 53.24 -23.31 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
355.681 279.864 m
363.869 279.864 l
391.556 279.864 m
399.744 279.864 l
S
Q
BT
/F7 1 Tf
11 0 0 11 348.0562 277.0201 Tm
0 g
1.1357 Tc
0 Tw
[(<)210.3(<)]TJ
11 0 2.42 11 355.9937 282.2076 Tm
2.7124 Tc
()Tj
/F2 1 Tf
11 0 0 11 357.025 269.8638 Tm
2.7614 Tc
(33)Tj
/F3 1 Tf
1.7102 0.6506 TD
0 Tc
(x)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
146.2 360.02 53.44 -23.31 re
f
/EmbeddedDocument /MC12 BDC
Q
q
1 i
146.2 360.02 53.44 -23.31 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
155.731 348.864 m
163.919 348.864 l
191.606 348.864 m
199.794 348.864 l
S
Q
BT
/F7 1 Tf
11 0 0 11 148.1062 346.02 Tm
1.1328 Tc
[()207.4()]TJ
11 0 2.42 11 156.0437 351.2075 Tm
2.7124 Tc
()Tj
/F2 1 Tf
11 0 0 11 157.075 338.8638 Tm
2.7614 Tc
(33)Tj
/F3 1 Tf
1.7102 0.6506 TD
0 Tc
(x)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
159.37 587.02 53.47 -23.31 re
f
/EmbeddedDocument /MC13 BDC
Q
q
1 i
159.37 587.02 53.47 -23.31 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
168.901 576.444 m
177.089 576.444 l
204.776 576.444 m
212.964 576.444 l
S
Q
BT
/F7 1 Tf
11 0 0 11 161.2762 573.6 Tm
1.1357 Tc
[(<)210.3(<)]TJ
11 0 2.42 11 169.2137 578.7875 Tm
2.7124 Tc
()Tj
/F2 1 Tf
11 0 0 11 170.245 566.4438 Tm
2.7614 Tc
(33)Tj
/F3 1 Tf
1.7102 0.6506 TD
0 Tc
(x)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
185.1 689.02 53.61 -23.31 re
f
/EmbeddedDocument /MC14 BDC
Q
q
1 i
185.1 689.02 53.61 -23.31 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
194.341 678.904 m
202.529 678.904 l
230.216 678.904 m
238.404 678.904 l
S
Q
BT
/F7 1 Tf
11 0 0 11 186.7162 676.0601 Tm
1.1328 Tc
[()207.4()]TJ
11 0 2.42 11 194.6537 681.2476 Tm
2.7124 Tc
()Tj
/F2 1 Tf
11 0 0 11 195.685 668.9038 Tm
2.7614 Tc
(33)Tj
/F3 1 Tf
1.7102 0.6506 TD
0 Tc
(x)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
0 G
0 J 0 j 1 w 10 M []0 d
145.72 209.91 m
506.39 209.91 l
S
Q
endstream
endobj
70 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
/F7 24 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
/Properties <<
/MC11 61 0 R
/MC12 63 0 R
/MC13 65 0 R
/MC14 67 0 R
>>
>>
endobj
74 0 obj
<<
/Length 4828
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
42 743 528 -678 re
f
91.4 722.84 432 -61.33 re
f
BT
/F1 1 Tf
12 0 0 12 287.3436 712.9379 Tm
0 g
-0.0002 Tc
0.0278 Tw
(Part IV)Tj
/F2 1 Tf
-14.2453 -1.5833 TD
-0.0001 Tc
0.1462 Tw
(For each question, use the specific criteria to award a maximum of six credits.)Tj
-2 -1.0833 TD
0.2727 Tw
(Unless otherwise specified, mathematically correct alternative solutions should be)Tj
T*
0.025 Tw
(awarded appropriate credit.)Tj
ET
1 g
90 646.6 432 -642.65 re
f
BT
11.5 0 0 11.5 91 637.0676 Tm
0 g
-0.0002 Tc
0 Tw
(\(33\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([6])Tj
/F3 1 Tf
1.7391 0 TD
0 Tc
(y)Tj
/F2 1 Tf
0.775 0 TD
0.025 Tw
(= 0.01021)Tj
/F3 1 Tf
4.1249 0 TD
0 Tw
(x)Tj
/F2 1 Tf
0.7008 0 TD
-0.0001 Tc
0.025 Tw
( 1.66787, 4.56, and 913, and appropriate work is shown.)Tj
/F1 1 Tf
-7.3398 -2.6957 TD
-0.0003 Tc
0 Tw
([5])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational or rounding error is made.)Tj
/F5 1 Tf
12 0 0 12 300.1157 587.0676 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127 568.0676 Tm
([5])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0404 Tw
(The expression 0.01021)Tj
/F3 1 Tf
9.7894 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
0.7161 0 TD
-0.0001 Tc
0.0404 Tw
( 1.66787 is written and 4.56 and 913 are found, and)Tj
-10.5055 -1.1304 TD
0.025 Tw
(appropriate work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0287 Tw
(Appropriate work is shown, but two or more computational or rounding errors)Tj
0 -1.1304 TD
0.025 Tw
(are made.)Tj
/F5 1 Tf
12 0 0 12 300.1157 492.0676 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127 473.0676 Tm
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0942 Tw
(A correct equation is written, but either the gross earnings or the number of)Tj
0 -1.1304 TD
0.025 Tw
(theaters is not found, but appropriate work is shown.)Tj
/F5 1 Tf
12 0 0 12 300.1157 441.0676 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127 422.0676 Tm
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0062 Tw
(An incorrect equation of equal difficulty is written, but appropriate answers are)Tj
0 -1.1304 TD
0.025 Tw
(found, and appropriate work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6956 TD
-0.0003 Tc
0 Tw
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one conceptual error is made.)Tj
/F5 1 Tf
12 0 0 12 300.1157 359.0676 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127 340.0676 Tm
([3])Tj
/F3 1 Tf
1.7391 0 TD
0 Tc
(y)Tj
/F2 1 Tf
0.775 0 TD
0.025 Tw
(= 0.01021)Tj
/F3 1 Tf
4.1249 0 TD
0 Tw
(x)Tj
/F2 1 Tf
0.7008 0 TD
0.0249 Tw
[( 1.66787, 4.56, and 913, but no work is shown.)]TJ
/F5 1 Tf
12 0 0 12 300.1157 321.0676 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127 302.0676 Tm
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0703 Tw
(The expression 0.01021)Tj
/F3 1 Tf
9.8493 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
0.746 0 TD
-0.0001 Tc
0.0703 Tw
[( 1.66787 is written and either 4.56 or 913 is found,)]TJ
-10.5953 -1.1304 TD
0.025 Tw
(and appropriate work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6956 TD
-0.0003 Tc
0 Tw
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0065 Tw
(Appropriate work is shown, but one conceptual error and one computational or)Tj
0 -1.1304 TD
0.025 Tw
(rounding error are made.)Tj
/F5 1 Tf
12 0 0 12 300.1157 226.0677 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127 207.0676 Tm
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(A correct equation is written, but no further correct work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6956 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(4.56 and 913, but no work is shown.)Tj
/F5 1 Tf
12 0 0 12 300.1157 157.0677 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127 138.0676 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.1133 Tw
(The expression 0.01021)Tj
/F3 1 Tf
9.9354 0 TD
0 Tc
0 Tw
(x)Tj
/F2 1 Tf
0.7891 0 TD
-0.0001 Tc
0.1133 Tw
( 1.66787 is written, but no further correct work is)Tj
-10.7245 -1.1304 TD
0 Tw
(shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Either 4.56 or 913, but no work is shown.)Tj
/F5 1 Tf
12 0 0 12 300.1157 75.0676 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 127 56.0677 Tm
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
43.57 754.84 527.23 -30 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 242.2107 745.3088 Tm
0 g
0 Tc
0 Tw
(M)Tj
8.62 0 0 8.62 252.2033 745.3088 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 306.494 745.3088 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
/F2 1 Tf
10 0 0 10 296.3148 28.0541 Tm
-0.0001 Tc
([12])Tj
ET
Q
endstream
endobj
75 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
76 0 obj
<<
/Length 675
>>
stream
34e
endstream
endobj
78 0 obj
<<
/Length 675
>>
stream
34A
endstream
endobj
80 0 obj
<<
/Length 675
>>
stream
34C
endstream
endobj
82 0 obj
<<
/Length 675
>>
stream
34D
endstream
endobj
84 0 obj
<<
/Length 675
>>
stream
34C
endstream
endobj
86 0 obj
<<
/Length 675
>>
stream
34D
endstream
endobj
88 0 obj
<<
/Length 675
>>
stream
34C
endstream
endobj
90 0 obj
<<
/Length 675
>>
stream
34D
endstream
endobj
92 0 obj
<<
/Length 675
>>
stream
34C
endstream
endobj
94 0 obj
<<
/Length 675
>>
stream
34D
endstream
endobj
96 0 obj
<<
/Length 675
>>
stream
34D
endstream
endobj
98 0 obj
<<
/Length 675
>>
stream
34C
endstream
endobj
100 0 obj
<<
/Length 675
>>
stream
34B
endstream
endobj
102 0 obj
<<
/Length 675
>>
stream
34A
endstream
endobj
105 0 obj
<<
/Length 8455
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
40.46 61.47 528.36 -15.2 re
f
BT
/F2 1 Tf
10 0 0 10 297.1334 53.0547 Tm
0 g
-0.0001 Tc
0 Tw
[([13])-21949.5([OVER])]TJ
ET
1 g
91 706.44 432 -638.41 re
f
BT
11.5 0 0 11.5 92 696.9121 Tm
0 g
-0.0002 Tc
(\(34\))Tj
/F1 1 Tf
3.1304 0 TD
-0.0003 Tc
([6])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0642 Tw
(A complete and correct proof that includes a concluding statement is written, )Tj
0 -1.3913 TD
0.0407 Tw
[(such as showing that )-1921.9(is parallel to )-1987.1(and that )-1987.1(is not parallel to )]TJ
0 -1.1304 TD
0.1447 Tw
(by finding their slopes and using the distance formula to show that the two)Tj
T*
0.025 Tw
(nonparallel sides are equal.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([5])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but one computational error is made.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(Appropriate work is shown, but two or more computational errors are made.)Tj
/F5 1 Tf
12 0 0 12 301.1157 573.9121 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128 554.9121 Tm
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0167 Tw
(Appropriate work is shown, but one conceptual error is made, such as using an)Tj
0 -1.1304 TD
0.025 Tw
(incorrect formula.)Tj
/F5 1 Tf
12 0 0 12 301.1157 522.9121 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128 503.9121 Tm
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0128 Tw
[(The slopes of all four sides are found correctly and the lengths of )-1959.3(and )]TJ
0 -1.1304 TD
-0.0004 Tw
[(are found correctly)73.8(, and appropriate work is shown, but no conclusion is stated.)]TJ
/F5 1 Tf
12 0 0 12 301.1157 471.9121 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128 452.9121 Tm
([4])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0097 Tw
(A proof is written that correctly shows )Tj
/F3 1 Tf
15.8394 0 TD
-0.0002 Tc
0 Tw
(ABCD)Tj
/F2 1 Tf
2.9988 0 TD
-0.0001 Tc
-0.0097 Tw
(is a trapezoid, but it is not proved)Tj
-18.8382 -1.1304 TD
0.025 Tw
(to be isosceles.)Tj
/F1 1 Tf
-1.7391 -2.6956 TD
-0.0003 Tc
0 Tw
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.024 Tw
[(The slopes of only one pair of sides are found correctly)73.8(, but the lengths of )]TJ
0 -1.3913 TD
-0.0099 Tw
[(and)-1936.6(are found correctly)73.8(, and appropriate work is shown, and an appropriate)]TJ
0 -1.1304 TD
0.025 Tw
(conclusion is stated.)Tj
/F5 1 Tf
12 0 0 12 301.1157 360.9121 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128 341.9121 Tm
([3])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.025 Tw
(A correct numerical illustration is given in lieu of a proof of the general case.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([2])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.024 Tw
[(The slopes of only one pair of sides are found correctly)73.8(, but the lengths of )]TJ
0 -1.3913 TD
0.0101 Tw
[(and )-1956.6(are found correctly)73.8(, and appropriate work is shown, but no conclusion)]TJ
0 -1.1304 TD
0.025 Tw
(is stated.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.118 Tw
[(Either the slopes or the lengths of )-2064.6(and )-2064.5(are found correctly)73.8(, but no)]TJ
0 -1.1304 TD
0.025 Tw
(conclusion is stated.)Tj
/F5 1 Tf
12 0 0 12 301.1157 218.9121 Tm
-0.0003 Tc
0 Tw
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128 199.9121 Tm
([1])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.0297 Tw
(The correct definition of an isosceles trapezoid is written, but no further correct)Tj
0 -1.1304 TD
0.025 Tw
(work is shown.)Tj
/F1 1 Tf
-1.7391 -2.6957 TD
-0.0003 Tc
0 Tw
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
0.0574 Tw
[(The slopes of )-1938.6(and )-1938.6(are found correctly)73.8(, but no further correct work is)]TJ
0 -1.1304 TD
0 Tw
(shown.)Tj
/F5 1 Tf
12 0 0 12 301.1157 123.9121 Tm
-0.0003 Tc
(or)Tj
/F1 1 Tf
11.5 0 0 11.5 128 104.9121 Tm
([0])Tj
/F2 1 Tf
1.7391 0 TD
-0.0001 Tc
-0.007 Tw
(A zero response is completely incorrect, irrelevant, or incoherent or is a correct)Tj
0 -1.1304 TD
0.025 Tw
(response that was obtained by an obviously incorrect procedure.)Tj
ET
1 g
260.14 166.08 16.76 -11.17 re
f
/EmbeddedDocument /MC15 BDC
Q
q
1 i
260.14 166.08 16.76 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
261.02 165.875 m
276.332 165.875 l
S
Q
BT
/F3 1 Tf
11 0 0 11 260.77 155.75 Tm
0 g
-0.0001 Tc
0 Tw
(DC)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
216.86 166.08 16.76 -11.17 re
f
/EmbeddedDocument /MC16 BDC
Q
q
1 i
216.86 166.08 16.76 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
218.74 165.245 m
232.334 165.245 l
S
Q
BT
11 0 0 11 218.99 155.12 Tm
(AB)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
367.93 261.08 17.51 -11.17 re
f
/EmbeddedDocument /MC17 BDC
Q
q
1 i
367.93 261.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
369.68 260.875 m
384.024 260.875 l
S
Q
BT
11 0 0 11 369.68 250.75 Tm
0 Tc
(BC)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
322.51 261.08 17.5 -11.17 re
f
/EmbeddedDocument /MC18 BDC
Q
q
1 i
322.51 261.08 17.5 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
323.76 260.875 m
339.104 260.875 l
S
Q
BT
11 0 0 11 324.01 250.75 Tm
(AD)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
169.44 305.08 17.51 -11.17 re
f
/EmbeddedDocument /MC19 BDC
Q
q
1 i
169.44 305.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
171.2 304.875 m
185.544 304.875 l
S
Q
BT
11 0 0 11 171.2 294.75 Tm
-0.0001 Tc
(BC)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
503.49 321.08 17.51 -11.17 re
f
/EmbeddedDocument /MC20 BDC
Q
q
1 i
503.49 321.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
504.75 320.875 m
520.094 320.875 l
S
Q
BT
11 0 0 11 505 310.75 Tm
0 Tc
(AD)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
166.45 403.08 17.51 -11.17 re
f
/EmbeddedDocument /MC21 BDC
Q
q
1 i
166.45 403.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
168.21 402.875 m
182.554 402.875 l
S
Q
BT
11 0 0 11 168.21 392.75 Tm
(BC)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
503.49 419.08 17.51 -11.17 re
f
/EmbeddedDocument /MC22 BDC
Q
q
1 i
503.49 419.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
504.75 418.875 m
520.094 418.875 l
S
Q
BT
11 0 0 11 505 408.75 Tm
(AD)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
503.49 514.08 17.51 -11.17 re
f
/EmbeddedDocument /MC23 BDC
Q
q
1 i
503.49 514.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
505.25 513.875 m
519.594 513.875 l
S
Q
BT
11 0 0 11 505.25 503.75 Tm
(BC)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
460.49 514.08 17.51 -11.17 re
f
/EmbeddedDocument /MC24 BDC
Q
q
1 i
460.49 514.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
461.74 513.875 m
477.084 513.875 l
S
Q
BT
11 0 0 11 461.99 503.75 Tm
(AD)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
503.49 691.08 17.51 -11.17 re
f
/EmbeddedDocument /MC25 BDC
Q
q
1 i
503.49 691.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
504.75 690.875 m
520.094 690.875 l
S
Q
BT
11 0 0 11 505 680.75 Tm
(AD)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
400.03 691.08 17.51 -11.17 re
f
/EmbeddedDocument /MC26 BDC
Q
q
1 i
400.03 691.08 17.51 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
401.78 690.875 m
416.124 690.875 l
S
Q
BT
11 0 0 11 401.78 680.75 Tm
-0.0001 Tc
(BC)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
334.52 691.08 17.5 -11.17 re
f
/EmbeddedDocument /MC27 BDC
Q
q
1 i
334.52 691.08 17.5 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
336.15 690.875 m
351.369 690.875 l
S
Q
BT
11 0 0 11 335.65 680.75 Tm
(CD)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
250.69 691.08 16.76 -11.17 re
f
/EmbeddedDocument /MC28 BDC
Q
q
1 i
250.69 691.08 16.76 -11.17 re
W* n
0 G
0 J 0 j 0.5 w 10 M []0 d
252.57 690.245 m
266.164 690.245 l
S
Q
BT
11 0 0 11 252.82 680.12 Tm
(AB)Tj
ET
EMC
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
1 g
41.83 743.48 529.9 -30 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 241.8039 733.9446 Tm
0 g
0 Tc
(M)Tj
8.62 0 0 8.62 251.7964 733.9446 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 306.0871 733.9445 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(continued)Tj
ET
0 G
0 J 0 j 1 w 10 M []0 d
147.04 80.17 m
500.04 80.17 l
S
Q
endstream
endobj
106 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
/Properties <<
/MC15 77 0 R
/MC16 79 0 R
/MC17 81 0 R
/MC18 83 0 R
/MC19 85 0 R
/MC20 87 0 R
/MC21 89 0 R
/MC22 91 0 R
/MC23 93 0 R
/MC24 95 0 R
/MC25 97 0 R
/MC26 99 0 R
/MC27 101 0 R
/MC28 103 0 R
>>
>>
endobj
108 0 obj
<<
/Length 2875
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
q
1 i
-1 793 614 -794 re
12 782 m
W n
0 792.06 612 -792 re
W n
43.95 59.23 528.36 -28.29 re
f
BT
/F2 1 Tf
10 0 0 10 299.8042 50.8128 Tm
0 g
-0.0001 Tc
0 Tw
([14])Tj
ET
0 G
0 J 0 j 1 w 10 M []0 d
69.33 456.18 471.57 -172.51 re
316.462 50.813 m
S
1 g
77.34 442.58 453.98 -149.2 re
f
BT
/F1 1 Tf
13 0 0 13 186.2638 431.9352 Tm
0 g
-0.0002 Tc
0.0278 Tw
(Regents Examination in Mathematics B)Tj
6.2337 -1.6154 TD
-0.0001 Tc
(August 2005)Tj
-7.8417 -1.6154 TD
[(Chart for Converting T)73.8(otal T)73.8(est Raw Scores to)]TJ
1.201 -1.1538 TD
(Final Examination Scores \(Scaled Scores\))Tj
12 0 0 12 78.3379 354.9352 Tm
-0.0113 Tc
0 Tw
(The )Tj
/F5 1 Tf
2.049 0 TD
-0.0112 Tc
0.019 Tw
(Chart for Determining the Final Examination Score for the August 2005 Regents)Tj
-2.049 -1.1667 TD
0.3339 Tw
(Examination in Mathematics B )Tj
/F1 1 Tf
15.1403 0 TD
-0.0113 Tc
[(will be posted on the Department)91.7(s web site)]TJ
-15.1403 -1.1667 TD
0 Tw
(http://www)Tj
ET
0.6 w
78.338 325.735 m
135.463 325.735 l
S
BT
12 0 0 12 135.4634 326.9352 Tm
-0.0112 Tc
(.emsc.nysed.gov/osa/)Tj
ET
135.463 325.735 m
245.811 325.735 l
S
BT
12 0 0 12 252.5078 326.9352 Tm
0.3024 Tw
[(on T)73.9(uesday)73.9(, August 16, 2005. Conversion charts)]TJ
-14.5142 -1.1667 TD
-0.0113 Tc
0.026 Tw
[(provided for previous administrations of the Mathematics B examination must NOT)]TJ
T*
0.0278 Tw
(be used to determine students final scores for this administration.)Tj
ET
1 g
43.7 704.32 522.39 -209.68 re
f
BT
11 0 0 11 235.1795 695.161 Tm
0 g
-0.0002 Tc
(Map to Learning Standards)Tj
ET
1 w
134.7 662.11 m
475.09 662.11 l
S
BT
11 0 0 11 202.9673 669.161 Tm
[(Key Ideas)-10063.2(Item Numbers)]TJ
ET
134.7 643.11 m
475.09 643.11 l
S
BT
/F2 1 Tf
11 0 0 11 147.76 650.161 Tm
-0.0001 Tc
0.025 Tw
[(Mathematical Reasoning)-6356(34)]TJ
ET
134.7 624.11 m
475.09 624.11 l
S
BT
11 0 0 11 147.76 631.161 Tm
[(Number and Numeration)-5985.5(6, 13)]TJ
ET
134.7 605.11 m
475.09 605.11 l
S
BT
11 0 0 11 147.76 612.161 Tm
[(Operations)-12034.6(5, 7, 8, 12)]TJ
ET
134.7 586.11 m
475.09 586.11 l
S
BT
11 0 0 11 147.76 593.161 Tm
[(Modeling/Multiple Representation)-2191.2(1, 2, 10, 17, 23, 30, 31, 32)]TJ
ET
134.7 567.11 m
475.09 567.11 l
S
BT
11 0 0 11 147.76 574.161 Tm
0 Tc
[(Measurement)-10849.4(4, 11, 14, 18, 19, 24, 27)]TJ
ET
134.7 548.11 m
475.09 548.11 l
S
BT
11 0 0 11 147.76 555.161 Tm
[(Uncertainty)-11701.7(15, 21, 22, 33)]TJ
0 -1.7273 TD
[(Patterns/Functions)-8757.4(3, 9, 16, 20, 25, 26, 28, 29)]TJ
ET
135.16 683.21 340.57 -154.65 re
447.844 536.161 m
S
320.253 683.334 m
320.253 528.354 l
S
1 g
42.93 742.64 527.23 -30 re
f
BT
/F6 1 Tf
11.5 0 0 11.5 241.0435 733.1083 Tm
0 g
0 Tw
(M)Tj
8.62 0 0 8.62 251.036 733.1083 Tm
(A)Tj
0.5848 0 TD
-0.0264 Tc
[(THEMA)111.1(TICS)]TJ
11.5 0 0 11.5 305.3267 733.1083 Tm
0.235 Tc
[(B)255( )]TJ
/F3 1 Tf
1.637 0 TD
-0.0002 Tc
(concluded)Tj
ET
Q
endstream
endobj
109 0 obj
<<
/ProcSet [/PDF /Text ]
/Font <<
/F1 4 0 R
/F2 5 0 R
/F3 6 0 R
/F5 13 0 R
/F6 14 0 R
>>
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
111 0 obj
<<
/Length 32
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
endstream
endobj
112 0 obj
<<
/ProcSet [/PDF ]
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
114 0 obj
<<
/Length 32
>>
stream
1 g
/GS1 gs
12 782 m
12 782 l
f
endstream
endobj
115 0 obj
<<
/ProcSet [/PDF ]
/ExtGState <<
/GS1 8 0 R
>>
>>
endobj
8 0 obj
<<
/Type /ExtGState
/SA false
/SM 0.02
/OP false
/op false
/OPM 1
/BG2 /Default
/UCR2 /Default
/TR2 /Default
>>
endobj
16 0 obj
<<
/MetaData 15 0 R
/Title (22a)
/Creator (MathType)
>>
endobj
18 0 obj
<<
/MetaData 17 0 R
/Title (22a)
/Creator (MathType)
>>
endobj
20 0 obj
<<
/MetaData 19 0 R
/Title (22b)
/Creator (MathType)
>>
endobj
26 0 obj
<<
/MetaData 25 0 R
/Title (24)
/Creator (MathType)
>>
endobj
34 0 obj
<<
/MetaData 33 0 R
/Title (27b)
/Creator (MathType)
>>
endobj
36 0 obj
<<
/MetaData 35 0 R
/Title (27a)
/Creator (MathType)
>>
endobj
41 0 obj
<<
/MetaData 40 0 R
/Title (28)
/Creator (MathType)
>>
endobj
46 0 obj
<<
/MetaData 45 0 R
/Title (29)
/Creator (MathType)
>>
endobj
48 0 obj
<<
/MetaData 47 0 R
/Title (29)
/Creator (MathType)
>>
endobj
50 0 obj
<<
/MetaData 49 0 R
/Title (29)
/Creator (MathType)
>>
endobj
61 0 obj
<<
/MetaData 60 0 R
/Title (32a)
/Creator (MathType)
>>
endobj
63 0 obj
<<
/MetaData 62 0 R
/Title (32b)
/Creator (MathType)
>>
endobj
65 0 obj
<<
/MetaData 64 0 R
/Title (32a)
/Creator (MathType)
>>
endobj
67 0 obj
<<
/MetaData 66 0 R
/Title (32b)
/Creator (MathType)
>>
endobj
77 0 obj
<<
/MetaData 76 0 R
/Title (34e)
/Creator (MathType)
>>
endobj
79 0 obj
<<
/MetaData 78 0 R
/Title (34A)
/Creator (MathType)
>>
endobj
81 0 obj
<<
/MetaData 80 0 R
/Title (34C)
/Creator (MathType)
>>
endobj
83 0 obj
<<
/MetaData 82 0 R
/Title (34D)
/Creator (MathType)
>>
endobj
85 0 obj
<<
/MetaData 84 0 R
/Title (34C)
/Creator (MathType)
>>
endobj
87 0 obj
<<
/MetaData 86 0 R
/Title (34D)
/Creator (MathType)
>>
endobj
89 0 obj
<<
/MetaData 88 0 R
/Title (34C)
/Creator (MathType)
>>
endobj
91 0 obj
<<
/MetaData 90 0 R
/Title (34D)
/Creator (MathType)
>>
endobj
93 0 obj
<<
/MetaData 92 0 R
/Title (34C)
/Creator (MathType)
>>
endobj
95 0 obj
<<
/MetaData 94 0 R
/Title (34D)
/Creator (MathType)
>>
endobj
97 0 obj
<<
/MetaData 96 0 R
/Title (34D)
/Creator (MathType)
>>
endobj
99 0 obj
<<
/MetaData 98 0 R
/Title (34C)
/Creator (MathType)
>>
endobj
101 0 obj
<<
/MetaData 100 0 R
/Title (34B)
/Creator (MathType)
>>
endobj
103 0 obj
<<
/MetaData 102 0 R
/Title (34A)
/Creator (MathType)
>>
endobj
116 0 obj
<<
/Type /FontDescriptor
/Ascent 742
/CapHeight 674
/Descent -294
/Flags 34
/FontBBox [-167 -295 1155 921]
/FontName /JMPMMB+NewCaledonia-Bold
/ItalicAngle 0
/StemV 141
/XHeight 428
/StemH 141
/CharSet (/T/h/e/space/U/n/i/v/r/s/t/y/o/f/S/a/N/w/Y/k/R/E/G/H/I/C/O/L/X/A/M/u/d/comma/c/g/P/l/p/m/b/period/F/hyphen/W/V/bracketleft/two/bracketright/one/zero/four/three/six/five/x/B/parenleft/parenright/D/quote\
right/colon/slash/K)
/FontFile3 117 0 R
>>
endobj
117 0 obj
<<
/Filter /FlateDecode
/Length 6796
/Subtype /Type1C
>>
stream
HdT{TwI!D0
*ov!HbaA@"ITD婨
vk]Uۣqӹs9wDx