ALGEBRA 2/TRIGONOMETRY

Transcription

1 ALGEBRA /TRIGONOMETRY The University of the State of New Yk REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Friday, June 14, 013 1:15 to 4:15 p.m., only Student Name: School Name: The possession use of any communications device is strictly prohibited when taking this examination. If you have use any communications device, no matter how briefly, your examination will be invalidated and no sce will be calculated f you. Print your name and the name of your school on the lines above. A separate answer sheet f Part I has been provided to you. Follow the instructions from the proct f completing the student infmation on your answer sheet. This examination has four parts, with a total of 39 questions. You must answer all questions in this examination. Recd 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 wk should be written in pen, except f graphs and drawings, which should be done in pencil. Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. The fmulas that you may need to answer some questions in this examination are found at the end of the examination. This sheet is perfated so you may remove it from this booklet. Scrap paper is not permitted f any part of this examination, but you may use the blank spaces in this booklet as scrap paper. A perfated sheet of scrap graph paper is provided at the end of this booklet f any question f which graphing may be helpful but is not required. You may remove this sheet from this booklet. Any wk done on this sheet of scrap graph paper will not be sced. 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 answers pri to the examination and that you have neither given n 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 calculat and a straightedge (ruler) must be available f you to use while taking this examination. DO NOT OPEN THIS EXAMINATION BOOKLET UNTIL THE SIGNAL IS GIVEN. ALGEBRA /TRIGONOMETRY

2 Part I Answer all 7 questions in this part. Each crect answer will receive credits. F each statement question, choose the wd expression that, of those given, best completes the statement answers the question. Recd your answers on your separate answer sheet. [54] 1 A market research firm needs to collect data on viewer preferences f local news programming in Buffalo. Which method of data collection is most appropriate? (1) census (3) observation () survey (4) controlled experiment Use this space f computations. What is the number of degrees in an angle whose radian measure is 8π 5? (1) 576 (3) 5 () 88 (4) Which diagram represents a relation that is both one-to-one and onto? A B C A B C 1 3 (1) (3) A B C A B C 1 3 () (4) Algebra /Trigonometry June 13 []

3 4 The sum of the first eight terms of the series is (1) 13,107 (3) 39,31 () 1,845 (4) 65,535 Use this space f computations. 1 4 x 5 The simplest fm of is 1 8 x x (1) 1 (3) () x x (4) x 3 x x 6 Which equation represents the graph below? y π π x (1) y sin x (3) y cos x () y sin 1 x (4) y cos 1 x Algebra /Trigonometry June 13 [3] [OVER]

4 7 What is the graph of the solution set of x 1 5? Use this space f computations. 0 3 (1) 0 3 () (3) (4) 8 What is the range of the function shown below? y x (1) x 0 (3) y 0 () x 0 (4) y 0 Algebra /Trigonometry June 13 [4]

5 9 The expression sin(θ 90) is equivalent to Use this space f computations. (1) sin θ (3) sin θ () cos θ (4) cos θ 10 The points (,3), (4, 3 4 ), and (6,d) lie on the graph of a function. If y is inversely proptional to the square of x, what is the value of d? (1) 1 (3) 3 () 1 3 (4) 7 11 In the right triangle shown below, what is the measure of angle S, to the nearest minute? M 17 S 8 A (1) 8 1 (3) () 8 4 (4) Which dered pair is in the solution set of the system of equations shown below? y x 3 0 3y x 0 (1) (,6) (3) ( 1, 3) () (3,1) (4) ( 6, ) Algebra /Trigonometry June 13 [5] [OVER]

6 13 Susie invests $500 in an account that is compounded continuously at an annual interest rate of 5%, accding to the fmula A Pe rt, where A is the amount accrued, P is the principal, r is the rate of interest, and t is the time, in years. Approximately how many years will it take f Susie s money to double? (1) 1.4 (3) 13.9 () 6.0 (4) 14.7 Use this space f computations. 14 If n is a negative integer, then which statement is always true? (1) 6n 4n 1 (3) 6n 1 4n 1 () n 4 6n 1 (4) 4n 1 (6n) 1 15 The expression 4 3( k x) is equal to 5 k (1) 58 4x (3) 58 1x () 46 4x (4) 46 1x 16 Which value of r represents data with a strong positive linear crelation between two variables? (1) 0.89 (3) 1.04 () 0.34 (4) 0.01 Algebra /Trigonometry June 13 [6]

7 17 Which problem involves evaluating 6 P 4? Use this space f computations. (1) How many different four-digit ID numbers can be fmed using 1,, 3, 4, 5, and 6 without repetition? () How many different subcommittees of four can be chosen from a committee having six members? (3) How many different outfits can be made using six shirts and four pairs of pants? (4) How many different ways can one boy and one girl be selected from a group of four boys and six girls? 18 Which equation is represented by the graph below? y x (1) (x 3) (y 1) 5 () (x 3) (y 1) 5 (3) (x 1) (y 3) 13 (4) (x 3) (y 1) 13 Algebra /Trigonometry June 13 [7] [OVER]

8 19 If x 3i, y i, and z m i, the expression xy z equals (1) 1 1mi (3) 1 1mi () 6 6mi (4) 6 6mi Use this space f computations. 0 An angle, P, drawn in standard position, terminates in Quadrant II if (1) cos P 0 and csc P 0 (3) csc P 0 and cot P 0 () sin P 0 and cos P 0 (4) tan P 0 and sec P 0 1 The expression log 4m is equivalent to (1) (log 4 log m) (3) log 4 log m () log 4 log m (4) log 16 log m In PQR, p equals (1) rsin P sin Q (3) () rsin P sin R (4) rsin R sin P qsin R sin Q 3 If tan Arc cos 3 3, then k is k 3 (1) 1 (3) () (4) 3 Algebra /Trigonometry June 13 [8]

9 x y 4 Which expression is equivalent to? 5 4y Use this space f computations. 3 y (1) (3) x y () (4) x 3 x 3 y x 3 y 5 Expressed with a rational denominat and in simplest fm, x x x is x x x (1) (3) x x () x (4) x 1 x x x x x 1 6 What is the common ratio of the sequence ab, ab, ab,? (1) 3 b a (3) () 6 b a (4) 3 a b 6 a b 7 In KLM, KL 0, LM 13, and m K 40. The measure of M (1) must be between 0 and 90 () must equal 90 (3) must be between 90 and 180 (4) is ambiguous Algebra /Trigonometry June 13 [9] [OVER]

10 Part II Answer all 8 questions in this part. Each crect answer will receive credits. Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. F all questions in this part, a crect numerical answer with no wk shown will receive only 1 credit. All answers should be written in pen, except f graphs and drawings, which should be done in pencil. [16] 8 Determine the sum and the product of the roots of the equation 1x x 6 0. Algebra /Trigonometry June 13 [10]

11 9 Solve algebraically f x: log 7 (x 1) 4 3 Algebra /Trigonometry June 13 [11] [OVER]

12 30 Find the number of possible different 10-letter arrangements using the letters of the wd STATISTICS. 31 Express the product of cos 30 and sin 45 in simplest radical fm. Algebra /Trigonometry June 13 [1]

13 3 Find, algebraically, the measure of the obtuse angle, to the nearest degree, that satisfies the equation 5 csc θ 8. Algebra /Trigonometry June 13 [13] [OVER]

14 ( ) 33 If g(x) ax 1 x, express g(10) in simplest fm. Algebra /Trigonometry June 13 [14]

15 cot xsin x 34 Express sec x as a single trigonometric function, in simplest fm, f all values of x f which it is defined. Algebra /Trigonometry June 13 [15] [OVER]

16 35 On a multiple-choice test, Abby randomly guesses on all seven questions. Each question has four choices. Find the probability, to the nearest thousandth, that Abby gets exactly three questions crect. Algebra /Trigonometry June 13 [16]

17 Part III Answer all 3 questions in this part. Each crect answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. F all questions in this part, a crect numerical answer with no wk shown will receive only 1 credit. All answers should be written in pen, except f graphs and drawings, which should be done in pencil. [1] 36 Solve the equation below algebraically, and express the result in simplest radical fm: 13 x 10 x Algebra /Trigonometry June 13 [17] [OVER]

18 37 A ranch in the Australian Outback is shaped like triangle ACE, with m A 4, m E 103, and AC 15 miles. Find the area of the ranch, to the nearest square mile. Algebra /Trigonometry June 13 [18]

19 38 Ten teams competed in a cheerleading competition at a local high school. Their sces were 9, 8, 39, 37, 45, 40, 41, 38, 37, and 48. How many sces are within one population standard deviation from the mean? F these data, what is the interquartile range? Algebra /Trigonometry June 13 [19] [OVER]

20 Part IV Answer the question in this part. A crect answer will receive 6 credits. Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. A crect numerical answer with no wk shown will receive only 1 credit. The answer should be written in pen. [6] 39 Solve algebraically f all values of x: x 4 4x 3 4x 16x Algebra /Trigonometry June 13 [0]

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23 Tear Here Tear Here Reference Sheet Area of a Triangle Law of Cosines K _ 1 ab sin C a b + c bc cos A Functions of the Sum of Two Angles Functions of the Double Angle sin (A + B) sin A cos B + cos A sin B sin A sin A cos A cos (A + B) cos A cos B sin A sin B cos A cos A sin A tan A + tan B cos A cos tan (A + B) A 1 1 tan A tan B cos A 1 sin A Functions of the Difference of Two Angles tan A tan A 1 tan A sin (A B) sin A cos B cos A sin B cos (A B) cos A cos B + sin A sin B Functions of the Half Angle tan A tan B tan (A B) 1 + tan A tan B sin _ 1 A 1 cos A Law of Sines a sin A b sin B c cos _ 1 A 1 + cos A sin C tan _ 1 Sum of a Finite Arithmetic Series A 1 cos A 1 + cos A S n n(a 1 + a n ) Sum of a Finite Geometric Series S n a 1(1 r n ) Binomial Theem 1 r (a + b) n n C 0 a n b 0 + n C 1 a n 1 b 1 + n C a n b n C n a 0 b n n (a + b) n nc r a n r b r r = 0 Algebra /Trigonometry June 13

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25 Tear Here Tear Here Scrap Graph Paper This sheet will not be sced.

26 Scrap Graph Paper This sheet will not be sced. Tear Here Tear Here

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28 ALGEBRA /TRIGONOMETRY Printed on Recycled Paper ALGEBRA /TRIGONOMETRY

29 FOR TEACHERS ONLY The University of the State of New Yk REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Friday, June 14, 013 1:15 to 4:15 p.m., only SCORING KEY AND RATING GUIDE Mechanics of Rating The following procedures are to be followed f scing student answer papers f the Regents Examination in Algebra /Trigonometry. Me detailed infmation about scing is provided in the publication Infmation Booklet f Scing the Regents Examinations in Mathematics. Do not attempt to crect the student s wk by making insertions changes of any kind. In scing the open-ended questions, use check marks to indicate student errs. Unless otherwise specified, mathematically crect variations in the answers will be allowed. Units need not be given when the wding of the questions allows such omissions. Each student s answer paper is to be sced by a minimum of three mathematics teachers. No one teacher is to sce me than approximately one-third of the open-ended questions on a student s paper. Teachers may not sce their own students answer papers. On the student s separate answer sheet, f each question, recd the number of credits earned and the teacher s assigned rater/scer letter. Schools are not permitted to resce any of the open-ended questions on this exam after each question has been rated once, regardless of the final exam sce. Schools are required to ensure that the raw sces have been added crectly and that the resulting scale sce has been determined accurately. Raters should recd the student s sces f all questions and the total raw sce on the student s separate answer sheet. Then the student s total raw sce should be converted to a scale sce by using the conversion chart that will be posted on the Department s web site at: on Friday, June 14, 013. Because scale sces cresponding to raw sces in the conversion chart may change from one administration to another, it is crucial that, f each administration, the conversion chart provided f that administration be used to determine the student s final sce. The student s scale sce should be entered in the box provided on the student s separate answer sheet. The scale sce is the student s final examination sce.

30 If the student s responses f the multiple-choice questions are being hand sced pri to being scanned, the scer must be careful not to make any marks on the answer sheet except to recd the sces in the designated sce boxes. Marks elsewhere on the answer sheet will interfere with the accuracy of the scanning. Part I Allow a total of 54 credits, credits f each of the following. (1) () (3) (4) (5) (6) (7) (8) (9) (10) (11) (1) (13) (14) (15) (16) (17) (18) (19) (0) (1) () (3) (4) (5) (6) (7) Updated infmation regarding the rating of this examination may be posted on the New Yk State Education Department s web site during the rating period. Check this web site at: and select the link Scing Infmation f any recently posted infmation regarding this examination. This site should be checked befe the rating process f this examination begins and several times throughout the Regents Examination period. Beginning in June 013, the Department is providing supplemental scing guidance, the Sample Response Set, f the Regents Examination in Algebra /Trigonometry. This guidance is not required as part of the scer training. It is at the school s discretion to incpate it into the scer training to use it as supplemental infmation during scing. While not reflective of all scenarios, the sample student responses selected f the Sample Response Set illustrate how less common student responses to open-ended questions may be sced. The Sample Response Set will be available on the Department s web site at: Algebra /Trigonometry Rating Guide June 13 []

31 General Rules f Applying Mathematics Rubrics I. General Principles f Rating The rubrics f the constructed-response questions on the Regents Examination in Algebra /Trigonometry are designed to provide a systematic, consistent method f 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 f 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 Infmation Booklet f Scing the Regents Examinations in Mathematics, use their own professional judgment, confer with other mathematics teachers, and/ contact the State Education Department f 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 befe each administration period. II. Full-Credit Responses A full-credit response provides a complete and crect answer to all parts of the question. Sufficient wk is shown to enable the rater to determine how the student arrived at the crect answer. When the rubric f the full-credit response includes one me examples of an acceptable method f 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 crect answer. Unless otherwise specified, mathematically crect 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 a graphic solution. A crect solution using a method other than the one specified is awarded half the credit of a crect solution using the specified method. III. Appropriate Wk Full-Credit Responses: The directions in the examination booklet f all the constructed-response questions state: Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. The student has the responsibility of providing the crect 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 Errs: Rubrics that state Appropriate wk is shown, but are intended to be used with solutions that show an essentially complete response to the question but contain certain types of errs, whether computational, rounding, graphing, conceptual. If the response is incomplete; i.e., an equation is written but not solved an equation is solved but not all of the parts of the question are answered, appropriate wk has not been shown. Other rubrics address incomplete responses. IV. Multiple Errs Computational Errs, Graphing Errs, and Rounding Errs: Each of these types of errs results in a 1-credit deduction. Any combination of two of these types of errs results in a -credit deduction. No me than credits should be deducted f such mechanical errs in any response. The teacher must carefully review the student s wk to determine what errs were made and what type of errs they were. Conceptual Errs: A conceptual err involves a me serious lack of knowledge procedure. Examples of conceptual errs include using the increct fmula f the area of a figure, choosing the increct trigonometric function, multiplying the exponents instead of adding them when multiplying terms with exponents. A response with one conceptual err can receive no me than half credit. If a response shows repeated occurrences of the same conceptual err, the student should not be penalized twice. If the same conceptual err is repeated in responses to other questions, credit should be deducted in each response. If a response shows two ( me) different maj conceptual errs, it should be considered completely increct and receive no credit. If a response shows one conceptual err and one computational, graphing, rounding err, the teacher must award credit that takes into account both errs; i.e., awarding half credit f the conceptual err and deducting 1 credit f each mechanical err (maximum of two deductions f mechanical errs). Algebra /Trigonometry Rating Guide June 13 [3]

32 Part II F each question, use the specific criteria to award a maximum of credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (8) [] Sum 1 1 and product 1 an equivalent answer. [1] Appropriate wk is shown, but one computational err is made, but an appropriate sum and product are stated. [1] Appropriate wk is shown, but one conceptual err is made, but an appropriate sum and product are stated. [1] Appropriate wk is shown to find 1 1 and 1, but the solutions are not labeled are labeled increctly. [1] Sum 1 1 product 1. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (9) [] 41, and appropriate algebraic wk is shown. [1] Appropriate wk is shown, but one computational err is made, but an appropriate value of x is stated. [1] Appropriate wk is shown, but one conceptual err is made, but an appropriate value of x is stated. [1] x 1 is written, but no further crect wk is shown. [1] 41, but a method other than algebraic is used. [1] 41, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra /Trigonometry Rating Guide June 13 [4]

33 (30) [] 50,400, and appropriate wk is shown. [1] Appropriate wk is shown, but one computational err is made, but an appropriate number of arrangements is stated. [1] Appropriate wk is shown, but one conceptual err is made, but an appropriate number of arrangements is stated. [1] 10! 33!!! an equivalent expression is written, but no further crect wk is shown. [1] 50,400, but no wk is shown. [0] 10! 3,68,800 is written. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. 6 3 (31) [], and appropriate wk is shown. 4 [1] Appropriate wk is shown, but one computational err is made, but an appropriate answer is written in simplest radical fm. Algebra /Trigonometry Rating Guide June 13 [5] [1] Appropriate wk is shown, but one conceptual err is made, but an appropriate answer is written in simplest radical fm. [1] Appropriate wk is shown, but the answer is not expressed in simplest radical fm. [1] 3 1 and are written, but no further crect wk is shown. 6 [1], but no wk is shown. 4 [0] The answer is expressed as a decimal. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure.

34 (3) [] 141, and appropriate algebraic wk is shown. [1] Appropriate wk is shown, but one computational rounding err is made, but an appropriate angle measure is stated. [1] Appropriate wk is shown, but one conceptual err is made, but an appropriate angle measure is stated. [1] 141, but a method other than algebraic is used. [1] 141, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (33) [] 900a, and appropriate wk is shown. [1] Appropriate wk is shown, but one computational simplification err is made. [1] Appropriate wk is shown, but one conceptual err is made. [1] 900a, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (34) [] cos x, and appropriate wk is shown. [1] Appropriate wk is shown, but one substitution simplification err is made. [1] Appropriate wk is shown, but one conceptual err is made. [1] cos x, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra /Trigonometry Rating Guide June 13 [6]

35 (35) [] 0.173, and appropriate wk is shown. [1] Appropriate wk is shown, but one computational rounding err is made, but an appropriate probability is stated. [1] Appropriate wk is shown, but one conceptual err is made, but an appropriate probability is stated. 3 4 [1] an equivalent expression is written, but no further crect 4 4 wk is shown. C ( ) ( ) [1] 0.173, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra /Trigonometry Rating Guide June 13 [7]

36 Part III F each question, use the specific criteria to award a maximum of 4 credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (36) [4] 5 3, and appropriate algebraic wk is shown. [3] Appropriate wk is shown, but one computational simplification err is made, but appropriate values of x are stated [3] Appropriate wk is shown to find, but no further crect wk is shown. [3] Appropriate wk is shown, but the answers are expressed as decimals. [] Appropriate wk is shown, but two me computational simplification errs are made, but appropriate values of x are stated. [] Appropriate wk is shown, but one conceptual err is made, but appropriate values of x are stated. [] A crect substitution is made into the quadratic fmula, but no further crect wk is shown. [] Appropriate wk is shown to find (x 5) 1, but no further crect wk is shown. [] 5 3, but a method other than algebraic is used. [1] Appropriate wk is shown, but one conceptual err and one computational simplification err are made, but appropriate values of x are stated. [1] x 10x 13 0 is written, but no further crect wk is shown. [1] 5 3, but no wk is shown. [0] 10x x 13 is written, but no further crect wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra /Trigonometry Rating Guide June 13 [8]

37 (37) [4] 44, and appropriate wk is shown. [3] Appropriate wk is shown, but one computational rounding err is made, but an appropriate area is stated. [] Appropriate wk is shown, but two me computational rounding errs are made, but an appropriate area is stated. [] Appropriate wk is shown, but one conceptual err is made, but an appropriate area is stated. [] Appropriate wk is shown to find AE CE, both, but no further crect wk is shown. [1] Appropriate wk is shown, but one conceptual err and one computational rounding err are made, but an appropriate area is stated. [1] An appropriately drawn and labeled diagram is shown, and a crect substitution into the Law of Sines is made, but no further crect wk is shown. [1] 44, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra /Trigonometry Rating Guide June 13 [9]

38 (38) [4] 6 and 4, and appropriate wk is shown. [3] Appropriate wk is shown, but one computational err is made, but an appropriate number of sces and interquartile range are stated. [3] Appropriate wk is shown to find 6 and Q 1 37 and Q 3 41, but the values are not subtracted. [3] Appropriate wk is shown, but the sample standard deviation (6.) is used instead of the population standard deviation (5.9), but an appropriate number of sces and interquartile range are stated. [] Appropriate wk is shown, but two me computational errs are made, but an appropriate number of sces and interquartile range are stated. [] Appropriate wk is shown, but one conceptual err is made, but an appropriate number of sces and interquartile range are stated. [] Appropriate wk is shown to find either 6 4, but no further crect wk is shown. [] Mean, population standard deviation, Q 1 and Q 3 are stated crectly. [1] Appropriate wk is shown, but one conceptual err and one computational err are made, but an appropriate number of sces and interquartile range are stated. [1] Mean and population standard deviation are stated crectly. [1] 6 and 4, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra /Trigonometry Rating Guide June 13 [10]

39 Part IV F this question, use the specific criteria to award a maximum of 6 credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (39) [6] 0, 4, and i, and appropriate algebraic wk is shown. [5] Appropriate wk is shown, but one computational facting err is made, but appropriate solutions are stated. [5] Appropriate wk is shown to find three solutions, but no further crect wk is shown. [4] Appropriate wk is shown, but two computational facting errs are made, but appropriate solutions are stated. [4] Appropriate wk is shown to find two solutions, but no further crect wk is shown. [3] Appropriate wk is shown, but three me computational facting errs are made, but appropriate solutions are stated. [3] Appropriate wk is shown, but one conceptual err is made, but appropriate solutions are stated. [3] Appropriate wk is shown to find x(x 4)(x 4) 0 (x 3 4x)(x 4) 0, but no further crect wk is shown. [3] 0, 4, and i, but a method other than algebraic is used. [] Appropriate wk is shown, but one conceptual err and one computational facting err are made, but appropriate solutions are stated. [] Appropriate wk is shown to find 4, but no further crect wk is shown. [] x 3 (x 4) 4x(x 4) 0 x(x (x 4) 4(x 4)) 0 is written, but no further crect wk is shown. Algebra /Trigonometry Rating Guide June 13 [11]

40 [1] Appropriate wk is shown, but one conceptual err and two me computational facting errs are made, but appropriate solutions are stated. [1] Appropriate wk is shown to find 0, but no further crect wk is shown. [1] x(x 3 4x 4x 16) 0 is written, but no further crect wk is shown. [1] 0, 4, and i, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra /Trigonometry Rating Guide June 13 [1]

41 Map to Ce Curriculum Content Strands Item Numbers Number Sense and Operations 14, 15, 19 Algebra 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 13, 18, 0, 1,, 3, 4, 5, 6, 7, 8, 9, 31, 3, 33, 34, 36, 37, 39 Measurement Statistics and Probability 1, 16, 17, 30, 35, 38 Regents Examination in Algebra /Trigonometry June 013 Chart f Converting Total Test Raw Sces to Final Examination Sces (Scale Sces) The Chart f Determining the Final Examination Sce f the June 013 Regents Examination in Algebra /Trigonometry will be posted on the Department s web site at: on Friday, June 14, 013. Conversion charts provided f previous administrations of the Regents Examination in Algebra /Trigonometry must NOT be used to determine students final sces f this administration. Online Submission of Teacher Evaluations of the Test to the Department Suggestions and feedback from teachers provide an imptant contribution to the test development process. The Department provides an online evaluation fm f State assessments. It contains spaces f teachers to respond to several specific questions and to make suggestions. Instructions f completing the evaluation fm are as follows: 1. Go to 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 fm. Algebra /Trigonometry Rating Guide June 13 [13]

42 The State Education Department / The University of the State of New Yk Regents Examination in Algebra /Trigonometry June 013 Chart f Converting Total Test Raw Sces to Final Examination Sces (Scale Sces) Raw Scale Raw Scale Raw Scale Raw Scale Sce Sce Sce Sce Sce Sce Sce Sce To determine the student s final examination sce, find the student s total test raw sce in the column labeled Raw Sce and then locate the scale sce that cresponds to that raw sce. The scale sce is the student s final examination sce. Enter this sce in the space labeled Scale Sce on the student s answer sheet. Schools are not permitted to resce any of the open-ended questions on this exam after each question has been rated once, regardless of the final exam sce. Schools are required to ensure that the raw sces have been added crectly and that the resulting scale sce has been determined accurately. Because scale sces cresponding to raw sces in the conversion chart change from one administration to another, it is crucial that f each administration the conversion chart provided f that administration be used to determine the student s final sce. The chart above is usable only f this administration of the Regents Examination in Algebra /Trigonometry. Algebra /Trigonometry Conversion Chart - June '13 1 of 1