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New York Regents Integrated Algebra January 2015 Exam

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INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Tuesday, January 27, 2015 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 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. INTEGRATED ALGEBRA Part I Answer all 30 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write on the separate answer sheet the numeral preceding the word or expression that best completes the statement or answers the question. [60] 1 If A {1, 2, 3, 4, 5, 6, 7, 8} and B {2, 4, 6, 8, 10, 12}, the intersection of sets A and B is (1) {10, 12} (3) {1, 3, 5, 7} (2) {2, 4, 6, 8} (4) {1, 2, 3, 4, 5, 6, 7, 8, 10, 12} 2 What is the value of n in the equation 0.2(n 6) 2.8? (1) 8 (3) 20 (2) 2 (4) 44 3 The expression 24 x6 y3 6 x3 y is equivalent to (1) 4x2y3 (3) 4x9y4 (2) 4x3y3 (4) 4x3y2 4 Which situation is represented by bivariate data? (1) A student lists her algebra quiz grades for one month. (2) A wrestler records his weight before each match. (3) A musician writes down how many minutes she practices her instrument each day. (4) An ice cream vendor tracks the daily high temperature and how many ice cream bars he sells each day. Integrated Algebra Jan. 15 [2] Use this space for computations. 5 A cylinder has a circular base with a radius of 3 units and a height of 7 units. What is the volume of the cylinder in cubic units? (1) 2 (3) 63 (2) 42 Use this space for computations. (4) 147 6 The graph of f(x) is shown below. y x Based on this graph, what are the roots of the equation f(x) 0? (1) 1 and 5 (3) 2 and 9 (2) 1 and 5 (4) 1 and 5 and 5 7 Jose wants to ride his bike a total of 50 miles this weekend. If he rides m miles on Saturday, which expression represents the number of miles he must ride on Sunday? (1) m 50 (3) 50 m (2) m 50 (4) 50m Integrated Algebra Jan. 15 [3] [OVER] 8 Four students are playing a math game at home. One of the math game questions asked them to write an algebraic equation. Brandon wrote: 3(5x 0) William wrote: 7 2(6 x) Alice wrote: 15x Kayla wrote: 11 2x 3 Which student wrote an algebraic equation? (1) Brandon (3) Alice (2) William (4) Kayla 9 A student spent 15 minutes painting a 2-foot by 3-foot bulletin board. To the nearest tenth of a minute, how long did it take the student to paint 1 square foot? (1) 0.4 (3) 2.5 (2) 1.5 (4) 3.5 10 What is an equation of the line that passes through the points (2,1) and (6, 5)? 3 (1) y __ x 2 2 (3) y __ x 1 3 3 (2) y __ x 4 2 2 7 (4) y __ x __ 3 3 2 10 3 11 What is __ __ expressed in simplest form? 7x 5x 7 (1) __ 2x 29 (3) ___ 35x 29 (2) __ 2x 55 (4) ___ 35x Integrated Algebra Jan. 15 [4] Use this space for computations. 12 In the box-and-whisker plot below, what is the 2nd quartile? 5 Use this space for computations. 10 15 20 25 30 35 40 45 50 (1) 25 (3) 45 (2) 30 (4) 50 13 The length of a rectangle is three feet less than twice its width. If x represents the width of the rectangle, in feet, which inequality represents the area of the rectangle that is at most 30 square feet? (1) x(2x 3) 30 (3) x(3 2x) 30 (2) x(2x 3) 30 (4) x(3 2x) 30 14 Which set is a function? (1) {(3,4), (3,5), (3,6), (3,7)} (3) {(6,7), (7,8), (8,9), (6,5)} (2) {(1,2), (3,4), (4,3), (2,1)} (4) {(0,2), (3,4), (0,8), (5,6)} 15 The weights of 40 students were recorded. If the 75th percentile of their weights was 140 pounds, what is the total number of students who weighed more than 140 pounds? (1) 10 (3) 30 (2) 20 (4) 4 16 What is the slope of the line represented by the equation 4x 3y 7? 7 (1) __ 4 3 (3) __ 4 7 (2) __ 3 4 (4) __ 3 Integrated Algebra Jan. 15 [5] [OVER] 17 What is 150 24 expressed in simplest radical form? (1) 7 6 (3) 87 (2) 7 12 (4) 174 18 In ABC below, the measure of A 90 , AB 6, AC 8, and BC 10. C 8 A 10 6 B Which ratio represents the sine of B? 10 (1) __ 8 6 __ (3) 10 8 (2) __ 6 8 __ (4) 10 19 The equations 6x 5y 300 and 3x 7y 285 represent the money collected from selling gift baskets in a school fundraising event. If x represents the cost for each snack gift basket and y represents the cost for each chocolate gift basket, what is the cost for each chocolate gift basket? (1) $20 (3) $30 (2) $25 (4) $54 20 Which equation represents the axis of symmetry of the graph of the equation y x2 4x 5? (1) x 2 (3) y 2 (2) x 4 (4) y 4 Integrated Algebra Jan. 15 [6] Use this space for computations. x 2 21 For which value of x is the expression 2 x 1 undefined? (1) 0 1 (3) __ 2 (2) 2 Use this space for computations. 1 (4) __ 2 22 Last year, Nick rode his bicycle a total of 8000 miles. To the nearest yard, Nick rode an average of how many yards per day? 1 mile = 1760 yards 1 year = 365 days (1) 22 (3) 1659 (2) 236 (4) 38,575 23 The set of integers is not closed for (1) division (3) addition (2) multiplication (4) subtraction 24 A model rocket is launched into the air from ground level. The height, in feet, is modeled by p(x) 16x2 32x, where x is the number of elapsed seconds. What is the total number of seconds the model rocket will be in the air? (1) 1 (3) 0 (2) 2 (4) 16 Integrated Algebra Jan. 15 [7] [OVER] 25 The diagram below shows the path a bird flies from the top of a 9.5-foot-tall sunflower to a point on the ground 5 feet from the base of the sunflower. x 9.5 5 To the nearest tenth of a degree, what is the measure of angle x? (1) 27.8 (3) 58.2 (2) 31.8 (4) 62.2 26 Which set of numbers represents the lengths of the sides of a right triangle? (1) {7, 24, 25} (3) {10, 12, 14} (2) {9, 16, 23} (4) {14, 16, 18} 27 How many different seven-letter arrangements of the letters in the word HEXAGON can be made if each letter is used only once? (1) 28 (3) 720 (2) 49 (4) 5040 Integrated Algebra Jan. 15 [8] Use this space for computations. 28 Three students each rolled a wooden cube with faces painted red, white, and blue. The color of the top face is recorded each time the cube is rolled. The table below shows the results. Student Number of Rolls Red White Blue 1 30 11 7 12 2 50 19 11 20 3 20 8 4 Use this space for computations. 8 If a fourth student rolled the cube 75 times, based on these experimental data, approximately how many times can the cube be expected to land with blue on top? (1) 25 (3) 35 (2) 30 (4) 40 29 Dominick graphs the equation y a | x| where a is a positive integer. If Gina multiplies a by 3, the new graph will become (1) narrower and open downward (2) narrower and open upward (3) wider and open downward (4) wider and open upward Integrated Algebra Jan. 15 [9] [OVER] 30 Mr. Suppe recorded the height, in inches, of each student in his class. The results are recorded in the table below. 60 59 70 65 64 61 58 72 75 66 65 67 63 62 68 68 69 74 61 70 10 9 8 7 6 5 4 3 2 1 55-59 60-64 65-69 70-74 75-79 Cumulative Frequency Cumulative Frequency Which cumulative frequency histogram represents the data? 10 9 8 7 6 5 4 3 2 1 55-59 55-64 55-69 55-74 55-79 ( 3) 20 18 16 14 12 10 8 6 4 2 55-59 60-64 65-69 70-74 75-79 Cumulative Frequency Interval (1) Cumulative Frequency Interval 20 18 16 14 12 10 8 6 4 2 55-59 55-64 55-69 55-74 55-79 Interval Interval (2) (4) Integrated Algebra Jan. 15 [10] Use this space for computations. Part II Answer all 3 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. [6] 31 As shown in the diagram below, a ladder 12 feet long leans against a wall and makes an angle of 72 with the ground. 12 ft Find, to the nearest tenth of a foot, the distance from the wall to the base of the ladder. Integrated Algebra Jan. 15 [11] [OVER] 32 Carla bought a dress at a sale for 20% off the original price. The sale price of the dress was $28.80. Find the original price of the dress, in dollars. Integrated Algebra Jan. 15 [12] 1 33 The probability that a student owns a dog is __ . The probability that the same student owns 3 2 __ a dog and a cat is 15 . Determine the probability that the student owns a cat. Integrated Algebra Jan. 15 [13] [OVER] Part III Answer all 3 questions in this part. Each correct answer will receive 3 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. [9] 34 A DVD costs twice as much as a music CD. Jack buys 2 DVDs and 2 CDs and spends $45. Determine how much one CD costs, in dollars. [Only an algebraic solution can receive full credit.] Integrated Algebra Jan. 15 [14] 35 Noj has the following test scores: 76, 84, 69, 74, 91 His teacher will allow him to retake the test on which he scored lowest. Noj wants an average of at least 82. Determine the least number of additional points Noj must score on the retest. Integrated Algebra Jan. 15 [15] [OVER] 36 Graph y x and x 5 on the axes below. y x State the coordinates of a point in the solution set. Integrated Algebra Jan. 15 [16] Part IV 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] 37 The Rock Solid Concrete Company has been asked to pave a rectangular area surrounding a circular fountain with a diameter of 8 feet, as shown in the diagram. 15 ft Fountain 36 ft Find the area, to the nearest square foot, that must be paved. Find the cost, in dollars, of paving the area if the Rock Solid Concrete Company charges $8.95 per square foot. Integrated Algebra Jan. 15 [17] [OVER] 38 Solve the following system of equations algebraically: y x2 5x 17 y x 5 Integrated Algebra Jan. 15 [18] 39 Perform the indicated operations and express the result in simplest form: 10x 2 y ( x y)2 x 2 y2 2 5y 2 x 2 x xy Integrated Algebra Jan. 15 [19] 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 Tear Here Reference Sheet sin A = cos A = adjacent hypotenuse tan A = Trigonometric Ratios opposite hypotenuse opposite adjacent Area trapezoid Volume cylinder 1 A= 2 h(b 1 + b 2) V = r2h rectangular prism SA = 2lw + 2hw + 2lh Surface Area cylinder m= Tear Here Coordinate Geometry Integrated Algebra Jan. 15 [23] SA = 2 r2 + 2 rh y y2 y1 = x x2 x1 INTEGRATED ALGEBRA Tear Here Tear Here Printed on Recycled Paper INTEGRATED ALGEBRA FOR TEACHERS ONLY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Tuesday, January 27, 2015 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 Integrated Algebra. 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. Teachers may not score their own students answer papers. 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 Tuesday, January 27, 2015. 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 60 credits, 2 credits for each of the following. (1) . . . . . 2 . . . . . (11) . . . . . 3 . . . . . (21) . . . . . 4 . . . . . (2) . . . . . 3 . . . . . (12) . . . . . 2 . . . . . (22) . . . . . 4 . . . . . (3) . . . . . 4 . . . . . (13) . . . . . 1 . . . . . (23) . . . . . 1 . . . . . (4) . . . . . 4 . . . . . (14) . . . . . 2 . . . . . (24) . . . . . 2 . . . . . (5) . . . . . 3 . . . . . (15) . . . . . 1 . . . . . (25) . . . . . 1 . . . . . (6) . . . . . 2 . . . . . (16) . . . . . 4 . . . . . (26) . . . . . 1 . . . . . (7) . . . . . 3 . . . . . (17) . . . . . 1 . . . . . (27) . . . . . 4 . . . . . (8) . . . . . 4 . . . . . (18) . . . . . 4 . . . . . (28) . . . . . 2 . . . . . (9) . . . . . 3 . . . . . (19) . . . . . 3 . . . . . (29) . . . . . 1 . . . . . (10) . . . . . 2 . . . . . (20) . . . . . 1 . . . . . (30) . . . . . 4 . . . . . 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. Beginning in January 2013, the Department is providing supplemental scoring guidance, the Sample Response Set, for the Regents Examination in Integrated Algebra. This guidance is not required as part of the scorer training. It is at the school s discretion to incorporate it into the scorer training or to use it as supplemental information during scoring. While not reflective of all scenarios, the sample student responses selected for the Sample Response Set illustrate how less common student responses to open-ended questions may be scored. The Sample Response Set will be available on the Department s web site at http://www.nysedregents.org/IntegratedAlgebra/. Integrated Algebra Rating Guide January 15 [2] General Rules for Applying Mathematics Rubrics I. General Principles for Rating The rubrics for the constructed-response questions on the Regents Examination in Integrated Algebra 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). Integrated Algebra Rating Guide January 15 [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. (31) [2] 3.7, and correct work is shown. [1] Appropriate work is shown, but one computational or rounding error is made. An appropriate distance is given. or [1] Appropriate work is shown, but one conceptual error is made, such as using an incorrect trigonometric function. An appropriate distance is given. or [1] A correct trigonometric equation is written, but no further correct work is shown. or [1] 3.7, 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. (32) [2] 36, and correct work is shown. [1] Appropriate work is shown, but one computational error is made. or [1] Appropriate work is shown, but one conceptual error is made. or [1] A correct equation is written, but no further correct work is shown. or [1] 36, 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. Integrated Algebra Rating Guide January 15 [4] (33) 2 [2] __ or equivalent, and correct work is shown. 5 [1] Appropriate work is shown, but one computational error is made. An appropriate probability is found. or [1] Appropriate work is shown, but one conceptual error is made. An appropriate probability is found. or 2 [1] __ , but no work is shown. 5 [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Integrated Algebra Rating Guide January 15 [5] Part III For each question, use the specific criteria to award a maximum of 3 credits. Unless otherwise specified, mathematically correct alternative solutions should be awarded appropriate credit. (34) [3] 7.50 or equivalent and correct work is shown. [2] Appropriate work is shown, but one computational error is made. An appropriate cost is found. or [2] Appropriate work is shown, but 15, the price of one DVD, is found. [1] Appropriate work is shown, but two or more computational errors are made. An appropriate cost is found. or [1] Appropriate work is shown, but one conceptual error is made. An appropriate cost is found. or [1] A correct single variable equation or system of equations is written, but no further correct work is shown. or [1] 7.50, but a method other than algebraic is used. or [1] 7.50, 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. Integrated Algebra Rating Guide January 15 [6] (35) [3] 16 and correct work is shown. [2] Appropriate work is shown, but one computational error is made. An appropriate answer is given. or [2] Appropriate work is shown to find 85, the minimum score needed on the retest, but no further correct work is shown. [1] Appropriate work is shown, but one conceptual error is made, but an appropriate answer is given. or [1] Appropriate work is shown, but two or more computational errors are made, but an appropriate answer is given or [1] 16 and 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. (36) [3] Correct graphs are drawn and at least one is labeled, and coordinates of a point within the solution set are found. [2] Correct graphs are drawn and at least one is labeled, but no coordinates or incorrect coordinates are stated. or [2] Appropriate work is shown, but one graphing or labeling error is made. Appropriate coordinates are stated. [1] Appropriate work is shown, but two or more graphing or labeling errors are made. Appropriate coordinates are stated. or [1] Appropriate work is shown, but one conceptual error is made. Appropriate coordinates are stated. or [1] Only one correct graph is drawn and labeled, but no further correct work is shown. or [1] Only correct coordinates of a point in the solution set are stated, but no graphs are drawn. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Integrated Algebra Rating Guide January 15 [7] Part IV 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. (37) [4] 490 and 4385.50 and correct work is shown. [3] Appropriate work is shown, but one computational is made or the answer is rounded. Appropriate answers are given. or [3] Appropriate work is shown to find 490, but no further correct work is shown. [2] Appropriate work is shown, but two or more computational or rounding errors are made. Appropriate answers are given. or [2] Appropriate work is shown, but one conceptual error is made. Appropriate answers are given. or [2] Appropriate work is shown to find the areas of the rectangle and the circle, but no further correct work is shown. [1] Appropriate work is shown, but one conceptual error and one computational or rounding error are made. Appropriate answers are given. or [1] Appropriate work is shown to find the area of the circle, but no further correct work is shown. or [1] 490 and 4385.50, but no work is shown. [0] One conceptual error and two or more computational errors are made. or [0] 490 or 4385.50, but 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. Integrated Algebra Rating Guide January 15 [8] (38) [4] (2, 3) and ( 6, 11) or equivalent, and correct algebraic work is shown. [3] Appropriate work is shown, but one computational error is made. or [3] Appropriate work is shown, but only one correct ordered pair is found or only the correct value for x or for y is found. [2] Appropriate work is shown, but two or more computational errors are made. or [2] Appropriate work is shown, but one conceptual error is made. or [2] x2 4x 12 0 is written, but the equation is not solved or is solved incorrectly. or [2] An appropriate system of equations is solved, but a method other than algebraic is used. [1] Appropriate work is shown, but one conceptual error and one computational error are made. or [1] The equation x2 5x 17 x 5 is set up correctly, but no further correct work is shown. or [1] (2, 3) and ( 6, 11), but no work is shown. [0] (2, 3) or ( 6, 11), but 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. Integrated Algebra Rating Guide January 15 [9] (39) 25y3 [4] x y and correct work is shown. [3] Appropriate work is shown, but one computational, factoring, or simplification error is made. [2] Appropriate work is shown, but two or more computational, factoring, or simplification errors are made. or [2] Appropriate work is shown, but one conceptual error is made. or [2] The expression is expressed as products, and all numerators and denominators are factored correctly, but no further correct work is shown. [1] Appropriate work is shown, but one conceptual error and one computational, factoring, or simplification error are made. or [1] All numerators and denominators are factored correctly, but no further correct work is shown. or 3 25y [1] x y , 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. Integrated Algebra Rating Guide January 15 [10] Map to Core Curriculum Content Strands Item Numbers Number Sense and Operations 17, 23, 27, 32 Algebra 1, 2, 3, 7, 8, 10, 11, 13, 16, 18, 19, 20, 21, 24, 25, 26, 31, 34, 38, 39 Geometry 5, 6, 14, 29, 36, 37 Measurement 9, 22 Statistics and Probability 4, 12, 15, 28, 30, 33, 35 Regents Examination in Integrated Algebra January 2015 Chart for Converting Total Test Raw Scores to Final Examination Scores (Scale Scores) The Chart for Determining the Final Examination Score for the January 2015 Regents Examination in Integrated Algebra will be posted on the Department s web site at: http://www.p12.nysed.gov/assessment/ on Tuesday, January 27, 2015. Conversion charts provided for previous administrations of the Regents Examination in Integrated Algebra 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. Integrated Algebra Rating Guide January 15 [11]

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