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New York Regents Integrated Algebra January 2013

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INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Tuesday, January 22, 2013 9:15 a.m. to 12:15 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. Record your answers on your separate answer sheet. [60] 1 The number of hours spent on math homework during one week and the math exam grades for eleven students in Ms. Smith s algebra class are plotted below. Exam Grade (percent) Ms. Smith s Class 100 90 80 70 60 50 40 30 20 10 0 1 2 3 4 5 6 7 8 9 10 Time Spent on Math Homework (hours) Based on the plotted data, what is the correlation between the time spent on homework and the exam grade? (1) positive (3) no correlation (2) negative (4) cannot be determined 2 A car uses one gallon of gasoline for every 20 miles it travels. If a gallon of gasoline costs $3.98, how much will the gas cost, to the nearest dollar, to travel 180 miles? (1) 9 (3) 45 (2) 36 (4) 80 Integrated Algebra Jan. 13 [2] Use this space for computations. 3 If Angelina s weekly allowance is d dollars, which expression represents her allowance, in dollars, for x weeks? (1) dx (3) x 7d (2) 7dx Use this space for computations. d (4) __ x 4 What is the solution of the system of equations shown in the graph below? y x (1) (1,0) and ( 3,0) (3) ( 1, 2) (2) (0, 3) and (0, 1) (4) ( 2, 1) 5 The solution of the equation 5 2x 4x 7 is (1) 1 (3) 2 (2) 2 (4) 6 Integrated Algebra Jan. 13 [3] [OVER] 6 The expression 100n2 Use this space for computations. 1 is equivalent to (1) (10n 1)(10n 1) (3) (50n 1)(50n 1) (2) (10n 1)(10n 1) (4) (50n 1)(50n 1) 7 In right triangle ABC shown below, what is the value of cos A? A 16 B 12 20 C 12 (1) __ 20 20 __ (3) 12 16 (2) __ 20 20 __ (4) 16 8 A bag contains five green gumdrops and six red gumdrops. If Kim pulls a green gumdrop out of the bag and eats it, what is the probability that the next gumdrop she pulls out will be red? (1) __ 11 5 (3) __ 11 5 (4) __ 10 (2) __ 10 Integrated Algebra Jan. 13 6 6 [4] Use this space for computations. 9 Which graph represents a function? y y x x (1) (3) y y x (2) x (4) 10 The current population of a town is 10,000. If the population, P, increases by 20% each year, which equation could be used to find the population after t years? (1) P 10,000(0.2)t (3) P 10,000(1.2)t (2) P 10,000(0.8)t (4) P 10,000(1.8)t Integrated Algebra Jan. 13 [5] [OVER] 11 Which verbal expression is represented by 2(x 4)? (1) twice the sum of a number and four (2) the sum of two times a number and four (3) two times the difference of a number and four (4) twice the product of a number and four 12 How many cubes with 5-inch sides will completely fill a cube that is 10 inches on a side? (1) 50 (3) 8 (2) 25 (4) 4 13 A school newspaper will survey students about the quality of the school s lunch program. Which method will create the least biased results? (1) Twenty-five vegetarians are randomly surveyed. (2) Twenty-five students are randomly chosen from each grade level. (3) Students who dislike the school s lunch program are chosen to complete the survey. (4) A booth is set up in the cafeteria for the students to voluntarily complete the survey. 14 The vertex of the parabola y x2 8x 10 lies in Quadrant (1) I (3) III (2) II (4) IV Integrated Algebra Jan. 13 [6] Use this space for computations. 15 In the figure below, ABCD is a square and semicircle O has a radius of 6. A B Use this space for computations. D O 6 C What is the area of the figure? (1) 36 6 (3) 144 18 (2) 36 18 (4) 144 36 16 What is 24x2y6 16x6y2 4xy2 divided by 4xy2? (1) 6xy4 4x5 (3) 6x2y3 4x6y (2) 6xy4 4x5 1 (4) 6x2y3 4x6y 1 17 Which expression can be used to change 75 kilometers per hour to meters per minute? (1) 75 km 1 km 1 hr 1 hr 1, 000 m 60 min (2) 75 km 1 km 60 min 1 hr 1, 000 m 1 hr (3) 75 km 1, 000 m 1 hr 1 hr 1 km 60 min (4) 75 km 1, 000 m 60 min 1 hr 1 km 1 hr Integrated Algebra Jan. 13 [7] [OVER] Use this space for computations. 18 The inequality 2 x 3 can be written as (1) ( 2, 3) (3) ( 2, 3] (2) [ 2, 3) (4) [ 2, 3] 19 The expression 6 10 7 3 10 3 is equivalent to (1) 2 104 (3) 2 10 4 (2) 2 1010 (4) 2 10 10 20 The roots of the equation x2 14x 48 0 are (1) 6 and 8 (3) 6 and 8 (2) 6 and 8 (4) 6 and 8 21 If x 3, what is the value of | x 4 | x2? (1) 8 (3) 7 (2) 2 (4) 16 22 Which equation represents a line parallel to the line whose equation is 2x 3y 9? 2 3 (1) y __ x 4 2 (2) y __ x 4 3 Integrated Algebra Jan. 13 3 (3) y __ x 4 2 3 (4) y __ x 4 2 [8] 23 Which ordered pair is in the solution set of the system of inequalities y 3x 1 and x y 1? (1) ( 1, 2) (3) (1,2) (2) (2, 1) Use this space for computations. (4) ( 1,2) 24 Which equation represents the line that passes through the point ( 3,4) and is parallel to the x-axis? (1) x 4 (3) y 4 (2) x 3 (4) y 3 25 A cube with faces numbered 1 through 6 is rolled 75 times, and the results are given in the table below. Number Frequency 1 7 2 22 3 14 4 6 5 20 6 6 Based on these results, which statement is true? (1) P(odd) P(even) (3) P(even) P(2 or 4) (2) P(3 or less) P(odd) (4) P(2 or 4) P(3 or less) 26 Given: A {perfect square integers from 4 to 100, inclusive} B {16, 36, 49, 64} The complement of set B in the universal set A is (1) {9, 25, 81} (3) {1, 4, 9, 25, 81, 100} (2) {4, 9, 25, 81, 100} (4) {4, 16, 36, 49, 64, 100} Integrated Algebra Jan. 13 [9] [OVER] 27 The expression x 2 (1) 2 Use this space for computations. 2 x 2 10x 28 is equivalent to 4 x 28 x 2 (3) 2 (2) x 1 x 5 (4) 2 1 2x 15x 3 28 Which value of x is the solution of the equation __ __ ? 7 3 21 4 13 (1) 6 (3) __ (2) 0 6 (4) __ 29 29 Which statement is true about the data set 4, 5, 6, 6, 7, 9, 12? (1) mean mode (3) mean median (2) mode median (4) mode mean 30 How is the graph of y x2 4x 3 affected when the coefficient of x2 is changed to a smaller positive number? (1) The graph becomes wider, and the y-intercept changes. (2) The graph becomes wider, and the y-intercept stays the same. (3) The graph becomes narrower, and the y-intercept changes. (4) The graph becomes narrower, and the y-intercept stays the same. Integrated Algebra Jan. 13 [10] 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 Express 4 75 in simplest radical form. Integrated Algebra Jan. 13 [11] [OVER] 32 Factor completely: 5x3 20x2 60x Integrated Algebra Jan. 13 [12] 33 On the set of axes below, graph y 2|x 3|. Include the interval 7 x 1. y x Integrated Algebra Jan. 13 [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 In a game, a player must spin each spinner shown in the diagram below once. 9 1 7 C A 3 5 B Spinner 1 Spinner 2 Draw a tree diagram or list a sample space showing all possible outcomes. Determine the number of outcomes that consist of a prime number and a letter in the word CAT. Integrated Algebra Jan. 13 [14] 35 The cost of three notebooks and four pencils is $8.50. The cost of five notebooks and eight pencils is $14.50. Determine the cost of one notebook and the cost of one pencil. [Only an algebraic solution can receive full credit.] Integrated Algebra Jan. 13 [15] [OVER] 36 Wendy measures the floor in her rectangular bedroom for new carpeting. Her measurements are 24 feet by 14 feet. The actual measurements are 24.2 feet by 14.1 feet. Determine the relative error in calculating the area of her bedroom. Express your answer as a decimal to the nearest thousandth. Integrated Algebra Jan. 13 [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 Using the line provided, construct a box-and-whisker plot for the 12 scores below. 26, 32, 19, 65, 57, 16, 28, 42, 40, 21, 38, 10 Determine the number of scores that lie above the 75th percentile. Integrated Algebra Jan. 13 [17] [OVER] 38 A metal pipe is used to hold up a 9-foot fence, as shown in the diagram below. The pipe makes an angle of 48 with the ground. 9-ft Fence Metal pipe Determine, to the nearest foot, how far the bottom of the pipe is from the base of the fence. Determine, to the nearest foot, the length of the metal pipe. Integrated Algebra Jan. 13 [18] 39 On the set of axes below, graph the following system of equations. y 2x x2 4 y x 4 Using the graph, determine and state the coordinates of all points in the solution set for the system of equations. y x Integrated Algebra Jan. 13 [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. 13 [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 22, 2013 9:15 a.m. to 12:15 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. 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 22, 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 60 credits, 2 credits for each of the following. (1) . . . . . 1 . . . . . (11) . . . . . 1 . . . . . (21) . . . . . 2 . . . . . (2) . . . . . 2 . . . . . (12) . . . . . 3 . . . . . (22) . . . . . 1 . . . . . (3) . . . . . 1 . . . . . (13) . . . . . 2 . . . . . (23) . . . . . 2 . . . . . (4) . . . . . 3 . . . . . (14) . . . . . 3 . . . . . (24) . . . . . 3 . . . . . (5) . . . . . 4 . . . . . (15) . . . . . 3 . . . . . (25) . . . . . 4 . . . . . (6) . . . . . 1 . . . . . (16) . . . . . 2 . . . . . (26) . . . . . 2 . . . . . (7) . . . . . 2 . . . . . (17) . . . . . 3 . . . . . (27) . . . . . 1 . . . . . (8) . . . . . 4 . . . . . (18) . . . . . 4 . . . . . (28) . . . . . 1 . . . . . (9) . . . . . 3 . . . . . (19) . . . . . 3 . . . . . (29) . . . . . 2 . . . . . (10) . . . . . 3 . . . . . (20) . . . . . 4 . . . . . (30) . . . . . 2 . . . . . 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.p12.nysed.gov/assessment/scoring/home-hs.html. Integrated Algebra 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 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 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. (31) [2] 20 3 , and appropriate work is shown. [1] Appropriate work is shown, but one computational or simplification error is made. or [1] Appropriate work is shown, but one conceptual error is made. or [1] Appropriate work is shown to find 20 3 , but the answer is written in decimal form. or [1] 20 3 , but no work is shown. [0] The answer is written in decimal form, 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. (32) [2] 5x (x 2)(x 6), and appropriate work is shown. [1] 5x (x2 4x 12), but no further correct answer is shown. or [1] Appropriate work is shown, but one computational or factoring error is made, but all appropriate factors are stated. or [1] Appropriate work is shown, but one conceptual error is made, but all appropriate factors are stated. or [1] 5x (x 2)(x 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. Integrated Algebra Rating Guide January 13 [4] (33) [2] A correct graph is drawn that includes the given interval. [1] Appropriate work is shown, but one graphing error is made, but an appropriate graph is drawn that includes the given interval. or [1] Appropriate work is shown, but one conceptual error is made, but an appropriate graph is drawn, that includes the given interval. or [1] Appropriate work is shown, but a graph is drawn that does not include the entire given interval. [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 13 [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] A correct tree diagram or sample space is shown and 6 is stated. [2] A correct tree diagram or sample space is shown, but no further correct work is shown. or [2] An understanding of the concept of a tree diagram or sample space is shown, but some branches or elements are missing, but an appropriate number of outcomes is stated. [1] An understanding of the concept of a tree diagram or sample space is shown, but some branches or elements are missing, but an appropriate number of outcomes is not stated. or [1] Appropriate work is shown to find 6, but no tree diagram or sample space is shown. [0] 6, but no 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. Integrated Algebra Rating Guide January 13 [6] (35) [3] One notebook $2.50 or 2.50 and one pencil $0.25 or 25 cents, and appropriate algebraic work is shown. [2] Appropriate work is shown, but one computational error is made, but the appropriate cost of one notebook and one pencil are found. or [2] Appropriate work is shown, but the correct answers are not labeled or are labeled incorrectly. or [2] Appropriate work is shown to find 2.50 and 0.25, but only the cost of one notebook or the cost of one pencil is found. [1] Appropriate work is shown, but two or more computational errors are made, but the appropriate cost of one notebook and the appropriate cost of one pencil are found. or [1] Appropriate work is shown, but one conceptual error is made, but the appropriate cost of one notebook and the appropriate cost of one pencil are found. or [1] A correct system of equation is written, but no further correct work is shown. or [1] An incorrect system of equations is written, but appropriate solutions are found and labeled. or [1] One notebook 2.50 and one pencil 0.25 or 25 cents, but a method other than algebraic is used. or [1] One notebook 2.50 and one pencil 0.25 or 25 cents, 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 13 [7] (36) [3] 0.015, and appropriate work is shown. [2] Appropriate work is shown, but one computational or rounding error is made, but an appropriate solution is found. or [2] | 341. 22 336 | or an equivalent expression is written, but the relative error is 341.22 not found or is found incorrectly. [1] Appropriate work is shown, but two or more computational or rounding errors are made, but an appropriate solution is found. or [1] Appropriate work is shown, but one conceptual error is made, such as dividing by 336, but an appropriate solution is found. or [1] Appropriate work is shown to find 336 and 341.22. or [1] 0.015, 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 13 [8] 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] A box-and-whisker plot is constructed correctly, where the minimum 10, first quartile 20, second quartile 30, third quartile 41, and maximum = 65, and 3 is stated. [3] A box-and-whisker plot is constructed, but one computational or graphing error is made, but an appropriate number is stated. or [3] A box-and-whisker plot is constructed correctly, but no further correct work is shown. [2] A box-and-whisker plot is constructed, but two or more computational or graphing errors are made, but an appropriate number is stated. or [2] A box-and-whisker plot is constructed, but one conceptual error is made and an appropriate number is stated. or [2] Minimum 10, first quartile 20, second quartile 30, third quartile 41, and maximum 65 are found and 3 is stated, but no box-and-whisker plot is constructed. [1] A box-and-whisker plot is constructed, but two or more computational or graphing errors are made, but an appropriate number is not stated. or [1] A box-and-whisker plot is constructed, but one conceptual error and one computational or graphing error are made but an appropriate number is stated. or [1] Minimum 10, first quartile 20, second quartile 30, third quartile 41, and maximum 65 are found, but no further correct work is shown. or [1] Appropriate work is shown to find 3, but no box-and-whisker plot is constructed. [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 13 [9] (38) [4] 8 and 12, and appropriate work is shown. [3] Appropriate work is shown, but one computational or rounding error is made, but appropriate answers are found. [2] Appropriate work is shown, but two or more computational or rounding errors are made, but appropriate answers are found. or [2] Appropriate work is shown, but one conceptual error is made, such using an incorrect trigonometric function but appropriate answers are found. or [2] tan 48 9 9 and sin 48 or an alternate method are written, but no y x further correct work is shown. or [2] Appropriate work is shown to find either 8 or 12, 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 answers are found. or [1] tan 48 9 9 or sin 48 or an alternate method is written, but no further y x correct work is shown. or [1] 8 and 12, 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 13 [10] (39) [4] Both equations are graphed correctly, and (0,4) and (3,7) are stated. [3] Appropriate work is shown, but one computational or graphing error is made, but all appropriate solutions are stated. or [3] Both equations are graphed correctly, but only one solution is stated correctly. [2] Appropriate work is shown, but two or more computational or graphing errors are made, but all appropriate solutions are stated. or [2] Appropriate work is shown, but one conceptual error is made, but all appropriate solutions are stated. or [2] Both equations are graphed correctly, but the solutions are not stated or are stated incorrectly. or [2] (0, 4) and (3, 7), but a method other than graphic is used. [1] Appropriate work is shown, but one conceptual error and one computational or graphing error are made, but all appropriate solutions are stated. or [1] One of the equations is graphed correctly, but no further correct work is shown. or [1] (0,4) and (3,7) are stated, 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 13 [11] Map to Core Curriculum Content Strands Item Numbers Number Sense and Operations Geometry 19, 21, 31 3, 5, 6, 7, 10, 11, 14, 16, 18, 20, 22, 23, 24, 26, 27, 28, 32, 35, 38 4, 9, 12, 13, 15, 30, 33, 39 Measurement 2, 17, 36 Statistics and Probability 1, 8, 25, 29, 34, 37 Algebra Regents Examination in Integrated Algebra 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 Integrated Algebra will be posted on the Department s web site at: http://www.p12.nysed.gov/assessment/ on Tuesday, January 22, 2013. 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 13 [12]

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