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New York Regents Algebra 2 / Trigonometry January 2013

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ALGEBRA 2/TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Wednesday, January 23, 2013 1:15 to 4:15 p.m., only Student Name:________________________________________________________ School Name: ______________________________________________________________ The possession or use of any communications device is strictly prohibited when taking this examination. If you have or use any communications device, no matter how briefly, your examination will be invalidated and no score will be calculated for you. Print your name and the name of your school on the lines above. A separate answer sheet for Part I has been provided to you. Follow the instructions from the proctor for completing the student information on your answer sheet. This examination has four parts, with a total of 39 questions. You must answer all questions in this examination. Record your answers to the Part I multiple-choice questions on the separate answer sheet. Write your answers to the questions in Parts II, III, and IV directly in this booklet. All work should be written in pen, except for graphs and drawings, which should be done in pencil. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. The formulas that you may need to answer some questions in this examination are found at the end of the examination. This sheet is perforated so you may remove it from this booklet. Scrap paper is not permitted for any part of this examination, but you may use the blank spaces in this booklet as scrap paper. A perforated sheet of scrap graph paper is provided at the end of this booklet for any question for which graphing may be helpful but is not required. You may remove this sheet from this booklet. Any work done on this sheet of scrap graph paper will not be scored. When you have completed the examination, you must sign the statement printed at the end of the answer sheet, indicating that you had no unlawful knowledge of the questions or answers prior to the examination and that you have neither given nor received assistance in answering any of the questions during the examination. Your answer sheet cannot be accepted if you fail to sign this declaration. Notice A graphing calculator and a straightedge (ruler) must be available for you to use while taking this examination. DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN. ALGEBRA 2/TRIGONOMETRY Part I Answer all 27 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each statement or question, choose the word or expression that, of those given, best completes the statement or answers the question. Record your answers on your separate answer sheet. [54] Use this space for computations. 1 What is the equation of the graph shown below? y (0,1) x (1) y 2x (3) x 2y (2) y 2 x (4) x 2 y 2 Which ordered pair is a solution of the system of equations shown below? x y 5 (x 3)2 (y 3)2 53 (1) (2,3) (3) ( 5,10) (2) (5,0) (4) ( 4,9) Algebra 2/Trigonometry January 13 [2] 3 The relationship between t, a student s test scores, and d, the student s success in college, is modeled by the equation d 0.48t 75.2. Based on this linear regression model, the correlation coefficient could be (1) between 1 and 0 (3) equal to 1 (2) between 0 and 1 Use this space for computations. (4) equal to 0 4 What is the common ratio of the geometric sequence shown below? 2, 4, 8, 16, 1 (1) __ 2 (2) 2 (3) 2 (4) 6 5 Given the relation {(8,2), (3,6), (7,5), (k,4)}, which value of k will result in the relation not being a function? (1) 1 (3) 3 (2) 2 (4) 4 2 6 6 Which expression is equivalent to (9x y ) 1 (1) 3xy3 (4) ? 3 (3) xy3 (2) 3xy3 1 2 Algebra 2/Trigonometry January 13 xy3 3 [3] [OVER] 7 In a certain high school, a survey revealed the mean amount of bottled water consumed by students each day was 153 bottles with a standard deviation of 22 bottles. Assuming the survey represented a normal distribution, what is the range of the number of bottled waters that approximately 68.2% of the students drink? (1) 131 164 (3) 142 164 (2) 131 175 (4) 142 175 8 What is the fourth term in the binomial expansion (x 2)8? (1) 448x5 (3) 448x5 (2) 448x4 (4) 448x4 9 Which value of k satisfies the equation 83k 4 42k 1? (1) 1 9 (2) __ 4 (3) 2 14 (4) __ 5 10 There are eight people in a tennis club. Which expression can be used to find the number of different ways they can place first, second, and third in a tournament? (1) 8P3 (3) 8P5 (2) 8C3 (4) 8C5 Algebra 2/Trigonometry January 13 [4] Use this space for computations. Use this space for computations. 1 11 If sin A __ , what is the value of cos 2A? 3 2 7 (1) __ 3 (3) __ 9 2 (2) __ 3 7 (4) __ 9 12 In the interval 0 x 360 , tan x is undefined when x equals (1) 0 and 90 (3) 180 and 270 (2) 90 and 180 (4) 90 and 270 13 If f(x) 9 x 2 , what are its domain and range? (1) domain: {x | 3 x 3}; range: {y | 0 y 3} (2) domain: {x | x 3}; range: {y | 0 y 3} (3) domain: {x | x 3 or x 3}; range: {y | y (4) domain: {x | x 0} 3}; range: {y | y 0} 14 When x2 3x 4 is subtracted from x3 3x2 2x, the difference is (1) x3 2x2 5x 4 (3) x3 4x2 x 4 (2) x3 2x2 x 4 (4) x3 2x2 5x 4 Algebra 2/Trigonometry January 13 [5] [OVER] 15 In the diagram below, the length of which line segment is equal to the exact value of sin ? y (0,1) ( 1,0) T O S R x (1,0) (0, 1) ___ (1) TO __ _ (2) TS ___ (3) OR __ _ (4) OS 16 The area of triangle ABC is 42. If AB 8 and m B 61, the length ___ of BC is approximately (1) 5.1 (3) 12.0 (2) 9.2 (4) 21.7 17 When factored completely, the expression 3x3 5x2 48x 80 is equivalent to (1) (x2 16)(3x 5) (2) (x2 16)(3x 5)(3x 5) (3) (x 4)(x 4)(3x 5) (4) (x 4)(x 4)(3x 5)(3x 5) Algebra 2/Trigonometry January 13 [6] Use this space for computations. Use this space for computations. 18 The value of sin (180 x) is equivalent to (1) sin x (3) sin x (2) sin (90 x) (4) sin (90 x) 19 The sum of form, is 6 3 6a4 b2 and 3 162a4 b2 , expressed in simplest radical 3 168a8 b4 (3) 4a 6ab2 3 (1) 3 (4) 10a2 b 8 (2) 2a2 b 21a2 b 20 Which equation is represented by the graph below? 2 (1) y 2 cos 3x (3) y 2 cos ___ x 3 (2) y 2 sin 3x (4) y 2 sin ___ x 3 Algebra 2/Trigonometry January 13 2 [7] [OVER] 21 The quantities p and q vary inversely. If p 20 when q 2, and p x when q 2x 2, then x equals (1) 4 and 5 (3) 5 and 4 20 (2) ___ 19 (4) __ 1 4 22 What is the solution set of the equation 2 sec x 2 when 0 x 360 ? (1) {45 , 135 , 225 , 315 } (3) {135 , 225 } (2) {45 , 315 } (4) {225 , 315 } 23 The discriminant of a quadratic equation is 24. The roots are (1) imaginary (2) real, rational, and equal (3) real, rational, and unequal (4) real, irrational, and unequal 24 How many different six-letter arrangements can be made using the letters of the word TATTOO ? (1) 60 (3) 120 (2) 90 (4) 720 Algebra 2/Trigonometry January 13 [8] Use this space for computations. 3y 9 25 Expressed in simplest form, 2y 6 6 2y is equivalent to (1) 6 y2 36 y 54 (2 y 6)(6 2 y) 3 (3) __ 2 (2) 3y 9 2y 6 Use this space for computations. (4) __ 2 3 9 26 If log 2 a and log 3 b, the expression log ___ is equivalent to 20 (1) 2b a 1 (3) b2 a 10 (2) 2b a 1 2b (4) _____ a 1 27 The expression (x i)2 (x i)2 is equivalent to (1) 0 (3) 2 4xi (2) 2 (4) 4xi Algebra 2/Trigonometry January 13 [9] [OVER] Part II Answer all 8 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [16] 28 Determine the sum of the first twenty terms of the sequence whose first five terms are 5, 14, 23, 32, and 41. Algebra 2/Trigonometry January 13 [10] 29 Determine the sum and the product of the roots of 3x2 11x 6. 30 If sec (a 15) csc (2a) , find the smallest positive value of a, in degrees. Algebra 2/Trigonometry January 13 [11] [OVER] 31 The heights, in inches, of 10 high school varsity basketball players are 78, 79, 79, 72, 75, 71, 74, 74, 83, and 71. Find the interquartile range of this data set. Algebra 2/Trigonometry January 13 [12] 32 Solve the equation 6x2 2x 3 0 and express the answer in simplest radical form. Algebra 2/Trigonometry January 13 [13] [OVER] 33 The number of bacteria present in a Petri dish can be modeled by the function N 50e3t, where N is the number of bacteria present in the Petri dish after t hours. Using this model, determine, to the nearest hundredth, the number of hours it will take for N to reach 30,700. Algebra 2/Trigonometry January 13 [14] 34 Determine the solution of the inequality | 3 2x | 7. [The use of the grid below is optional.] Algebra 2/Trigonometry January 13 [15] [OVER] 35 Convert 3 radians to degrees and express the answer to the nearest minute. Algebra 2/Trigonometry January 13 [16] Part III Answer all 3 questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. [12] 36 Solve algebraically for all values of x: log(x 4)(17x 4) 2 Algebra 2/Trigonometry January 13 [17] [OVER] 37 The data collected by a biologist showing the growth of a colony of bacteria at the end of each hour are displayed in the table below. Time, hour, (x) 0 1 2 3 4 5 Population (y) 250 330 580 800 1650 3000 Write an exponential regression equation to model these data. Round all values to the nearest thousandth. Assuming this trend continues, use this equation to estimate, to the nearest ten, the number of bacteria in the colony at the end of 7 hours. Algebra 2/Trigonometry January 13 [18] 38 As shown in the diagram below, fire-tracking station A is 100 miles due west of fire-tracking station B. A forest fire is spotted at F, on a bearing 47 northeast of station A and 15 northeast of station B. Determine, to the nearest tenth of a mile, the distance the fire is from both station A and station B. [N represents due north.] F N 15 N 47 A Algebra 2/Trigonometry January 13 100 miles [19] B [OVER] Part IV Answer the question in this part. A correct answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. A correct numerical answer with no work shown will receive only 1 credit. The answer should be written in pen. [6] 39 Solve algebraically for x: Algebra 2/Trigonometry January 13 x 2 x 1 11x 7 x 3 [20] Reference Sheet Law of Cosines sin (A + B) sin A cos B + cos A sin B cos (A + B) cos A cos B sin A sin B tan A + tan B tan (A + B) ___________ 1 tan A tan B sin 2A 2 sin A cos A cos 2A cos2 A sin2 A cos 2A 2 cos2 A 1 cos 2A 1 2 sin2 A Functions of the Difference of Two Angles Tear Here Area of a Triangle 1 ab sin C K _ 2 Functions of the Sum of Two Angles 2 tan A tan 2A _______ 1 tan2 A a 2 b 2 + c 2 2bc cos A Functions of the Double Angle sin (A B) sin A cos B cos A sin B cos (A B) cos A cos B + sin A sin B tan A tan B tan (A B) ____________ 1 + tan A tan B Functions of the Half Angle _________ 1 sin _ A q 2 1 cos A _______ 2 _________ Law of Sines b ____ c a ____ ____ sin A sin B sin C + cos A 1 _______ cos _ A q 1 2 2 _________ 1 cos A 1 tan _ A q _______ 2 1 + cos A Sum of a Finite Arithmetic Series n(a1 + an) Sn _______ 2 Sum of a Finite Geometric Series a 1(1 r n) _______ Sn 1 r Binomial Theorem (a + b)n nC0anb0 + nC1an 1b1 + nC2an 2b2 + ... + nCna0bn n (a + b)n n rbr nCr a r=0 /PSNBM $VSWF 4UBOEBSE %FWJBUJPO Tear Here m m m m Algebra 2/Trigonometry January 13 m m Tear Here Tear Here Tear Here Tear Here Scrap Graph Paper This sheet will not be scored. Scrap Graph Paper This sheet will not be scored. Tear Here Tear Here ALGEBRA 2/TRIGONOMETRY Printed on Recycled Paper ALGEBRA 2/TRIGONOMETRY FOR TEACHERS ONLY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Wednesday, January 23, 2013 1:15 to 4:15 p.m., only SCORING KEY AND RATING GUIDE Mechanics of Rating The following procedures are to be followed for scoring student answer papers for the Regents Examination in Algebra 2/Trigonometry. More detailed information about scoring is provided in the publication Information Booklet for Scoring the Regents Examinations in Mathematics. Do not attempt to correct the student s work by making insertions or changes of any kind. In scoring the open-ended questions, use check marks to indicate student errors. Unless otherwise specified, mathematically correct variations in the answers will be allowed. Units need not be given when the wording of the questions allows such omissions. Each student s answer paper is to be scored by a minimum of three mathematics teachers. No one teacher is to score more than approximately one-third of the open-ended questions on a student s paper. On the student s separate answer sheet, for each question, record the number of credits earned and the teacher s assigned rater/scorer letter. Schools are not permitted to rescore any of the open-ended questions on this exam after each question has been rated once, regardless of the final exam score. Schools are required to ensure that the raw scores have been added correctly and that the resulting scale score has been determined accurately. Raters should record the student s scores for all questions and the total raw score on the student s separate answer sheet. Then the student s total raw score should be converted to a scale score by using the conversion chart that will be posted on the Department s web site at: http://www.p12.nysed.gov/assessment/ on Wednesday, January 23, 2013. Because scale scores corresponding to raw scores in the conversion chart may change from one administration to another, it is crucial that, for each administration, the conversion chart provided for that administration be used to determine the student s final score. The student s scale score should be entered in the box provided on the student s separate answer sheet. The scale score is the student s final examination score. If the student s responses for the multiple-choice questions are being hand scored prior to being scanned, the scorer must be careful not to make any marks on the answer sheet except to record the scores in the designated score boxes. Marks elsewhere on the answer sheet will interfere with the accuracy of the scanning. Part I Allow a total of 54 credits, 2 credits for each of the following. (1) . . . . . 2 . . . . . (8) . . . . . 3 . . . . . (15) . . . . . 2 . . . . . (22) . . . . . 3 . . . . . (2) . . . . . 3 . . . . . (9) . . . . . 4 . . . . . (16) . . . . . 3 . . . . . (23) . . . . . 4 . . . . . (3) . . . . . 2 . . . . . (10) . . . . . 1 . . . . . (17) . . . . . 3 . . . . . (24) . . . . . 1 . . . . . (4) . . . . . 3 . . . . . (11) . . . . . 4 . . . . . (18) . . . . . 1 . . . . . (25) . . . . . 3 . . . . . (5) . . . . . 3 . . . . . (12) . . . . . 4 . . . . . (19) . . . . . 3 . . . . . (26) . . . . . 2 . . . . . (6) . . . . . 1 . . . . . (13) . . . . . 1 . . . . . (20) . . . . . 1 . . . . . (27) . . . . . 4 . . . . . (7) . . . . . 2 . . . . . (14) . . . . . 1 . . . . . (21) . . . . . 1 . . . . . Updated information regarding the rating of this examination may be posted on the New York State Education Department s web site during the rating period. Check this web site at: http://www.p12.nysed.gov/assessment/ and select the link Scoring Information for any recently posted information regarding this examination. This site should be checked before the rating process for this examination begins and several times throughout the Regents Examination period. Algebra 2/Trigonometry Rating Guide January 13 [2] General Rules for Applying Mathematics Rubrics I. General Principles for Rating The rubrics for the constructed-response questions on the Regents Examination in Algebra 2/Trigonometry are designed to provide a systematic, consistent method for awarding credit. The rubrics are not to be considered all-inclusive; it is impossible to anticipate all the different methods that students might use to solve a given problem. Each response must be rated carefully using the teacher s professional judgment and knowledge of mathematics; all calculations must be checked. The specific rubrics for each question must be applied consistently to all responses. In cases that are not specifically addressed in the rubrics, raters must follow the general rating guidelines in the publication Information Booklet for Scoring the Regents Examinations in Mathematics, use their own professional judgment, confer with other mathematics teachers, and/or contact the State Education Department for guidance. During each Regents Examination administration period, rating questions may be referred directly to the Education Department. The contact numbers are sent to all schools before each administration period. II. Full-Credit Responses A full-credit response provides a complete and correct answer to all parts of the question. Sufficient work is shown to enable the rater to determine how the student arrived at the correct answer. When the rubric for the full-credit response includes one or more examples of an acceptable method for solving the question (usually introduced by the phrase such as ), it does not mean that there are no additional acceptable methods of arriving at the correct answer. Unless otherwise specified, mathematically correct alternative solutions should be awarded credit. The only exceptions are those questions that specify the type of solution that must be used; e.g., an algebraic solution or a graphic solution. A correct solution using a method other than the one specified is awarded half the credit of a correct solution using the specified method. III. Appropriate Work Full-Credit Responses: The directions in the examination booklet for all the constructed-response questions state: Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. The student has the responsibility of providing the correct answer and showing how that answer was obtained. The student must construct the response; the teacher should not have to search through a group of seemingly random calculations scribbled on the student paper to ascertain what method the student may have used. Responses With Errors: Rubrics that state Appropriate work is shown, but are intended to be used with solutions that show an essentially complete response to the question but contain certain types of errors, whether computational, rounding, graphing, or conceptual. If the response is incomplete; i.e., an equation is written but not solved or an equation is solved but not all of the parts of the question are answered, appropriate work has not been shown. Other rubrics address incomplete responses. IV. Multiple Errors Computational Errors, Graphing Errors, and Rounding Errors: Each of these types of errors results in a 1credit deduction. Any combination of two of these types of errors results in a 2-credit deduction. No more than 2 credits should be deducted for such mechanical errors in any response. The teacher must carefully review the student s work to determine what errors were made and what type of errors they were. Conceptual Errors: A conceptual error involves a more serious lack of knowledge or procedure. Examples of conceptual errors include using the incorrect formula for the area of a figure, choosing the incorrect trigonometric function, or multiplying the exponents instead of adding them when multiplying terms with exponents. A response with one conceptual error can receive no more than half credit. If a response shows repeated occurrences of the same conceptual error, the student should not be penalized twice. If the same conceptual error is repeated in responses to other questions, credit should be deducted in each response. If a response shows two (or more) different major conceptual errors, it should be considered completely incorrect and receive no credit. If a response shows one conceptual error and one computational, graphing, or rounding error, the teacher must award credit that takes into account both errors; i.e., awarding half credit for the conceptual error and deducting 1 credit for each mechanical error (maximum of two deductions for mechanical errors). Algebra 2/Trigonometry Rating Guide January 13 [3] Part II For each question, use the specific criteria to award a maximum of 2 credits. Unless otherwise specified, mathematically correct alternative solutions should be awarded appropriate credit. (28) [2] 1810, and appropriate work is shown. [1] Appropriate work is shown, but one computational error is made, but an appropriate sum is stated. or [1] Appropriate work is shown, but one conceptual error is made, but an appropriate sum is stated. or [1] Appropriate work is shown to find 176, but no further correct work is shown. or [1] 1810, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct answer that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [4] (29) [2] Sum 11 3 and product 2, and appropriate work is shown. [1] Appropriate work is shown, but one computational error is made, but an appropriate sum and product are stated. or [1] Appropriate work is shown, but one conceptual error is made, but an appropriate sum and product are stated. or [1] Appropriate work is shown to find the correct roots, x 2 and x 3, but no 3 further correct work is shown. or [1] Appropriate work is shown to find 11 3 and 2, but the answers are not labeled or are labeled incorrectly. or [1] Appropriate work is shown to find sum 11 3 or product 2. or [1] Sum [0] 11 3 11 3 and product 2, but no work is shown. and 2, but the answers are not labeled or are labeled incorrectly, and no work is shown. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [5] (30) [2] 25, and appropriate work is shown. [1] Appropriate work is shown, but one computational error is made, but an appropriate value is stated. or [1] Appropriate work is shown, but one conceptual error is made, but an appropriate value is stated. or [1] 25, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (31) [2] 7, and appropriate work is shown. [1] Appropriate work is shown, but one computational error is made, but an appropriate interquartile range is stated. or [1] Appropriate work is shown, but one conceptual error is made, but an appropriate interquartile range is stated. or [1] The interval 72 79 is stated, but no further correct work is shown. or [1] Q1 72 and Q3 79 are stated, but no further correct work is shown. or [1] 7, but no work is shown. [0] 72 and 79 are stated, but no further correct work is shown. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [6] (32) [2] 1 19 6 , and appropriate work is shown. [1] Appropriate work is shown, but one computational or simplification error is made, but appropriate solutions are stated. or [1] Appropriate work is shown, but one conceptual error is made, but appropriate solutions are stated. or [1] Appropriate work is shown, but the solutions are stated as decimals. or [1] 1 19 6 , but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (33) [2] 2.14, and appropriate work is shown. [1] Appropriate work is shown, but one computational or rounding error is made, but an appropriate number of hours is stated. or [1] Appropriate work is shown, but one conceptual error is made, but an appropriate number of hours is stated. or [1] 3t ln 614 or t ln 614 3 is stated, but no further correct work is shown. or [1] 2.14, but no work is shown. [0] 614 e3t, but no further correct work is shown. or [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [7] (34) [2] x 2 or x 5 or an equivalent answer, and appropriate work is shown. [1] Appropriate work is shown, but one computational or graphing error is made, but an appropriate solution is stated. or [1] Appropriate work is shown, but one conceptual error is made, but an appropriate solution is stated. or [1] Appropriate work is shown, but the solution is not expressed as a disjunction. or [1] x 2 or x 5, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (35) [2] 171 53' [1] One computational or rounding error is made, but an appropriate answer is stated. or [1] One conceptual error is made, but an appropriate answer is stated. or [1] Appropriate work is shown, but the answer is expressed as a decimal. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [8] Part III For each question, use the specific criteria to award a maximum of 4 credits. Unless otherwise specified, mathematically correct alternative solutions should be awarded appropriate credit. (36) [4] 4 and 5, and appropriate algebraic work is shown. [3] Appropriate work is shown, but one computational or factoring error is made, but appropriate values are stated. [2] Appropriate work is shown, but two or more computational or factoring errors are made, but appropriate values are stated. or [2] Appropriate work is shown, but one conceptual error is made, but appropriate values are stated. or [2] x2 9x 20 0 is written, but no further correct work is shown. or [2] 4 and 5, but a method other than algebraic is used. [1] Appropriate work is shown, but one conceptual error and one computational or factoring error are made, but appropriate values are stated. or 2 [1] (x 4) 17x 4 is written, but no further correct work is shown. or [1] 4 and 5, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [9] (37) x [4] y 215.983(1.652) and 7250, and appropriate work is shown. [3] Appropriate work is shown, but one computational or rounding error is made, but an appropriate number of bacteria is stated. or x [3] The expression 215.983(1.652) is written and 7250, and appropriate work is shown. or x [3] y 215.983(1.652) and 7250, but no work is shown. [2] Appropriate work is shown, but two or more computational or rounding errors are made, but an appropriate number of bacteria is stated. or [2] Appropriate work is shown, but one conceptual error is made, but an appropriate number of bacteria is stated. or x [2] The expression 215.983(1.652) is written and 7250, but no work is shown. or x [2] y 215.983(1.652) , but no further correct work is shown. or [2] An incorrect exponential regression equation is solved appropriately for the number of bacteria. [1] Appropriate work is shown, but one conceptual error and one computational or rounding error are made, but an appropriate number of bacteria is stated. or x [1] The expression 215.983(1.652) is written, but no further correct work is shown. or [1] 7250, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [10] (38) [4] 182.3 and 128.7, and appropriate work is shown. [3] Appropriate work is shown, but one computational or rounding error is made, but appropriate distances are found. or [3] Appropriate work is shown to find either 182.3 or 128.7, but no further correct work is shown. [2] Appropriate work is shown, but two or more computational or rounding errors are made, but appropriate distances are found. or [2] Appropriate work is shown, but one conceptual error is made, but appropriate distances are found. or [2] m FAB 43 and m AFB 32 are found, and a correct substitution is made into the Law of Sines, but no further correct work is shown. [1] Appropriate work is shown, but one conceptual error and one computational or rounding error are made, but appropriate distances are found. or [1] m FAB 43 and m AFB 32 are found, but no further correct work is shown. or [1] 182.3 and 128.7, but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [11] Part IV For this question, use the specific criteria to award a maximum of 6 credits. Unless otherwise specified, mathematically correct alternative solutions should be awarded appropriate credit. (39) [6] 2 or an equivalent answer, and appropriate algebraic work is shown. 3 [5] Appropriate work is shown, but one computational or factoring error is made, but an appropriate solution is stated. or [5] Appropriate work is shown to find 2 and 1, but the extraneous solution is not 3 rejected. [4] Appropriate work is shown, but two computational or factoring errors are made, but an appropriate solution is stated. or [4] (3x 2)(x 1) 0 is written, but no further correct work is shown. [3] Appropriate work is shown, but three or more computational or factoring errors are made, but an appropriate solution is stated. or [3] Appropriate work is shown, but one conceptual error is made, but an appropriate solution is stated. or [3] A quadratic equation in standard form (set equal to zero) is written correctly, but no further correct work is shown. or [3] 2 , but a method other than algebraic is used. 3 [2] Appropriate work is shown, but one conceptual error and one computational or factoring error are made, but an appropriate solution is stated. or [2] x2 x 1 16x2 24x 9 is written, but no further correct work is shown. Algebra 2/Trigonometry Rating Guide January 13 [12] [1] Appropriate work is shown, but one conceptual error and two or more computational or factoring errors are made, but an appropriate solution is stated. or [1] 2 , but no work is shown. 3 [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Algebra 2/Trigonometry Rating Guide January 13 [13] Map to Core Curriculum Content Strands Item Numbers Number Sense and Operations 14, 19, 27 Algebra 1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 28, 29, 30, 32, 33, 34, 36, 38, 39 Measurement 35 Statistics and Probability 3, 7, 10, 24, 31, 37 Regents Examination in Algebra 2/Trigonometry January 2013 Chart for Converting Total Test Raw Scores to Final Examination Scores (Scale Scores) The Chart for Determining the Final Examination Score for the January 2013 Regents Examination in Algebra 2/Trigonometry will be posted on the Department s web site at: http://www.p12.nysed.gov/assessment/ on Wednesday, January 23, 2013. Conversion charts provided for previous administrations of the Regents Examination in Algebra 2/Trigonometry must NOT be used to determine students final scores for this administration. Online Submission of Teacher Evaluations of the Test to the Department Suggestions and feedback from teachers provide an important contribution to the test development process. The Department provides an online evaluation form for State assessments. It contains spaces for teachers to respond to several specific questions and to make suggestions. Instructions for completing the evaluation form are as follows: 1. Go to http://www.forms2.nysed.gov/emsc/osa/exameval/reexameval.cfm. 2. Select the test title. 3. Complete the required demographic fields. 4. Complete each evaluation question and provide comments in the space provided. 5. Click the SUBMIT button at the bottom of the page to submit the completed form. Algebra 2/Trigonometry Rating Guide January 13 [14]

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