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New York Regents Integrated Algebra August 2012

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INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Thursday, August 16, 2012 8:30 to 11:30 a.m., only Student Name:________________________________________________________ School Name: ______________________________________________________________ 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. The use of any communications device is strictly prohibited when taking this examination. If you use any communications device, no matter how briefly, your examination will be invalidated and no score will be calculated for you. 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 A system of equations is graphed on the set of axes below. y x The solution of this system is (1) (0,4) (3) (4,2) (2) (2,4) (4) (8,0) 2 A cell phone can receive 120 messages per minute. At this rate, how many messages can the phone receive in 150 seconds? (1) 48 (3) 300 (2) 75 (4) 18,000 3 The value of y in the equation 0.06y 200 0.03y 350 is (1) 500 (2) 1,666.6 Integrated Algebra August 12 (3) 5,000 (4) 18,333.3 [2] Use this space for computations. 4 The scatter plot shown below represents a relationship between x and y. Use this space for computations. y x This type of relationship is (1) a positive correlation (3) a zero correlation (2) a negative correlation (4) not able to be determined 5 The sum of 3x2 5x 6 and x2 3x 9 is (1) 2x2 8x 15 (3) 2x4 8x2 3 (2) 2x2 8x 3 (4) 4x2 2x 15 6 Jason s part-time job pays him $155 a week. If he has already saved $375, what is the minimum number of weeks he needs to work in order to have enough money to buy a dirt bike for $900? (1) 8 (3) 3 (2) 9 (4) 4 Integrated Algebra August 12 [3] [OVER] 7 The expression 9a2 64b2 Use this space for computations. is equivalent to (1) (9a 8b)(a 8b) (3) (3a 8b)(3a 8b) (2) (9a 8b)(a 8b) (4) (3a 8b)(3a 8b) 8 The scatter plot below shows the profit, by month, for a new company for the first year of operation. Kate drew a line of best fit, as shown in the diagram. Profit (in thousands of dollars) 50 40 30 20 10 2 4 6 8 10 12 14 16 18 20 Month Using this line, what is the best estimate for profit in the 18th month? (1) $35,000 (3) $42,500 (2) $37,750 (4) $45,000 9 Which statement illustrates the additive identity property? (1) 6 0 6 (3) 4(6 3) 4(6) 4(3) (2) 6 6 0 (4) (4 6) 3 4 (6 3) Integrated Algebra August 12 [4] Use this space for computations. 10 Peter walked 8,900 feet from home to school. 1 mile 5,280 feet How far, to the nearest tenth of a mile, did he walk? (1) 0.5 (3) 1.6 (2) 0.6 (4) 1.7 11 Is the equation A 21000(1 0.12)t a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period? (1) exponential growth and 12% (2) exponential growth and 88% (3) exponential decay and 12% (4) exponential decay and 88% 12 The length of a rectangle is 15 and its width is w. The perimeter of the rectangle is, at most, 50. Which inequality can be used to find the longest possible width? (1) 30 2w 50 (3) 30 2w 50 (2) 30 2w 50 (4) 30 2w 50 13 Craig sees an advertisement for a car in a newspaper. Which information would not be classified as quantitative? (1) the cost of the car (3) the model of the car (2) the car s mileage (4) the weight of the car Integrated Algebra August 12 [5] [OVER] 14 What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola shown in the graph below? y x (1) (0,2) and y 2 (3) ( 2,6) and y 2 (2) (0,2) and x 2 (4) ( 2,6) and x 2 15 A correct translation of six less than twice the value of x is (1) 2x 6 (3) 6 2x (2) 2x 6 (4) 6 2x Integrated Algebra August 12 [6] Use this space for computations. 16 The rectangular prism shown below has a length of 3.0 cm, a width of 2.2 cm, and a height of 7.5 cm. Use this space for computations. 7.5 cm 3.0 cm 2.2 cm What is the surface area, in square centimeters? (1) 45.6 (3) 78.0 (2) 49.5 (4) 91.2 17 Which set of coordinates is a solution of the equation 2x y 11? (1) ( 6, 1) (3) (0,11) (2) ( 1,9) (4) (2, 7) 18 The graph of a parabola is represented by the equation y ax2 where a is a positive integer. If a is multiplied by 2, the new parabola will become (1) narrower and open downward (2) narrower and open upward (3) wider and open downward (4) wider and open upward Integrated Algebra August 12 [7] [OVER] 3 19 Which equation represents a line that has a slope of __ and passes 4 through the point (2,1)? (1) 3y 4x 5 (3) 4y 3x 2 (2) 3y 4x 2 (4) 4y 3x 5 20 What is the value of 4( 6) 18 ? 4! 1 (1) __ 4 (3) 12 1 (2) __ 4 (4) 12 21 Given: A {1, 3, 5, 7, 9} B {2, 4, 6, 8, 10} C {2, 3, 5, 7} D {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Which statement is false? (1) A B C D (3) A C {1, 2, 3, 5, 7} (2) A B C { } (4) A C {3, 5, 7} 6 4 2 22 Which expression is equivalent to 2 x 18x 2 x ? 2 2x (1) x3 9x2 (3) x3 9x2 1 (2) x4 9x2 (4) x4 9x2 1 Integrated Algebra August 12 [8] Use this space for computations. 23 In a given linear equation, the value of the independent variable decreases at a constant rate while the value of the dependent variable increases at a constant rate. The slope of this line is (1) positive (3) zero (2) negative Use this space for computations. (4) undefined 24 The volume of a cylindrical can is 32 cubic inches. If the height of the can is 2 inches, what is its radius, in inches? (1) 8 (3) 16 (2) 2 (4) 4 25 The expression 14 x is undefined when x is x2 4 (1) 14, only (3) 2 or 2 (2) 2, only (4) 14, 2, or 2 26 What is the solution of 2 x 1? x 1 2 (1) 1 and 3 (3) 1 and 3 (2) 1 and 3 (4) 1 and 3 27 The total score in a football game was 72 points. The winning team scored 12 points more than the losing team. How many points did the winning team score? (1) 30 (3) 54 (2) 42 (4) 60 Integrated Algebra August 12 [9] [OVER] 28 What is the perimeter of the figure shown below, which consists of an isosceles trapezoid and a semicircle? 4 6 10 (1) 20 3 (3) 26 3 (2) 20 6 (4) 26 6 1 2 29 The probability that it will rain tomorrow is __ . The probability that 3 our team will win tomorrow s basketball game is __ . Which expression 5 represents the probability that it will rain and that our team will not win the game? 1 3 (1) __ __ 2 5 1 3 (3) __ __ 2 5 1 2 (2) __ __ 2 5 1 2 (4) __ __ 2 5 1 30 The formula for the volume of a pyramid is V __ Bh. What is h 3 expressed in terms of B and V? 1 (1) h __ VB 3 V 3B (2) h ___ Integrated Algebra August 12 3V (3) h ___ B (4) h 3VB [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 State the value of the expression Integrated Algebra August 12 (4.1 102)(2.4 103) in scientific notation. (1.5 107) [11] [OVER] 32 Express the product of Integrated Algebra August 12 x 2 4 x 20 and 2 in simplest form. 2 x 6x 8 [12] 33 On the set of axes below, graph y 3x over the interval 1 x 2. y x Integrated Algebra August 12 [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 The following cumulative frequency histogram shows the distances swimmers completed in a recent swim test. 20 Number of Swimmers 15 10 5 0 50 99 50 149 50 199 50 249 50 299 Distance (in yards) Based on the cumulative frequency histogram, determine the number of swimmers who swam between 200 and 249 yards. Determine the number of swimmers who swam between 150 and 199 yards. Determine the number of swimmers who took the swim test. Integrated Algebra August 12 [14] 35 Ashley measured the dimensions of a rectangular prism to be 6 cm by 10 cm by 1.5 cm. The actual dimensions are 5.9 cm by 10.3 cm by 1.7 cm. Determine the relative error, to the nearest thousandth, in calculating the volume of the prism. Integrated Algebra August 12 [15] [OVER] 36 Solve the following system of equations algebraically for all values of x and y. y x2 2x 8 y 2x 1 Integrated Algebra August 12 [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 A company is running a contest and offering a first, second, and third prize. First prize is a choice of a car or $15,000 cash. Second prize is a choice of a motorbike, a trip to New York City, or $2,000 cash. Third prize is a choice of a television or $500 cash. If each prize is equally likely to be selected, list the sample space or draw a tree diagram of all possible different outcomes of first, second, and third prizes. Determine the number of ways that all three prizes selected could be cash. Determine the number of ways that none of the three prizes selected could be cash. Integrated Algebra August 12 [17] [OVER] 38 In right triangle ABC shown below, AC 29 inches, AB 17 inches, and m ABC 90. Find the number of degrees in the measure of angle BAC, to the nearest degree. A C B ___ Find the length of BC to the nearest inch. Integrated Algebra August 12 [18] 39 On the set of axes below, graph the following system of inequalities. y x 3 5x 2y 10 State the coordinates of one point that satisfies y x 3, but does not satisfy 5x 2y 10. y x Integrated Algebra August 12 [19] Integrated Algebra August 12 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 August 12 [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 Thursday, August 16, 2012 8:30 to 11:30 a.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. 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 stray marks on the answer sheet that might later interfere with the accuracy of the scanning. 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/apda/ on Thursday, August 16, 2012. 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. Part I Allow a total of 60 credits, 2 credits for each of the following. 1.....3..... 11 . . . . . 3 . . . . . 21 . . . . . 3 . . . . . 2.....3..... 12 . . . . . 2 . . . . . 22 . . . . . 4 . . . . . 3.....3..... 13 . . . . . 3 . . . . . 23 . . . . . 2 . . . . . 4.....1..... 14 . . . . . 4 . . . . . 24 . . . . . 4 . . . . . 5.....2..... 15 . . . . . 2 . . . . . 25 . . . . . 3 . . . . . 6.....4..... 16 . . . . . 4 . . . . . 26 . . . . . 3 . . . . . 7.....3..... 17 . . . . . 4 . . . . . 27 . . . . . 2 . . . . . 8.....3..... 18 . . . . . 2 . . . . . 28 . . . . . 1 . . . . . 9.....1..... 19 . . . . . 3 . . . . . 29 . . . . . 4 . . . . . 10 . . . . . 4 . . . . . 20 . . . . . 1 . . . . . 30 . . . . . 3 . . . . . Integrated Algebra Rating Guide August 12 [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/apda/ 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. 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 1-credit 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 August 12 [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] 6.56 10 2. [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. [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] 2(x 5) x 4 or 2x 10 x 4 , and appropriate work is shown. [1] Appropriate work is shown, but one computational or factoring error is made, but an appropriate fraction is stated. or [1] Appropriate work is shown, but one conceptual error is made, but an appropriate fraction is stated. or [1] The expression is factored correctly, but no further correct work is shown. or [1] 2(x 5) x 4 or 2x 10 x 4 , but no work is shown. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (33) [2] A correct graph is drawn over the given interval. [1] Appropriate work is shown, but one graphing error is made. or [1] Appropriate work is shown, but one conceptual error is made. [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 August 12 [4] 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] All three answers (3, 0, and 20) are correct. [2] Only two answers are correct. [1] One conceptual error is made, such as interpreting the graph as a frequency histogram. or [1] Only one answer is correct. [0] A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. (35) [3] 0.129, and appropriate work is shown. [2] Appropriate work is shown to find 103.309 90 or an equivalent expression, 103.309 but no further correct work is shown. or [2] Appropriate work is shown, but one computational or rounding error is made, but an appropriate relative error is found. [1] Appropriate work is shown, but two or more computational or rounding errors are made, but an appropriate relative error is found. or [1] Appropriate work is shown, but one conceptual error is made, such as dividing by 90. or [1] Appropriate work is shown to find 90 and 103.309, but no further correct work is shown. or [1] 0.129, 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 August 12 [5] (36) [3] x 3, y 5 and x 3, y 7 or ( 3, 5) and (3,7), and appropriate algebraic work is shown. [2] Appropriate work is shown, but one computational or factoring error is made, but appropriate solutions are found. or [2] Appropriate work is shown, but only ( 3, 5) or (3,7) is found. or [2] Appropriate work is shown to find x 3 and x 3, but no further correct work is shown. [1] Appropriate work is shown, but two or more computational or factoring errors are made, but appropriate solutions are found. or [1] Appropriate work is shown, but one conceptual error is made, but appropriate solutions are found. or [1] x 3, y 5 and x 3, y 7 or ( 3, 5) and (3,7), but a method other than algebraic is used. or [1] x2 9 0 or x2 9 is written, but no further correct work is shown. or [1] x 3, y 5 and x 3, y 7 or ( 3, 5) and (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. Integrated Algebra Rating Guide August 12 [6] 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 correct tree diagram or sample space is shown, and 1 and 2 are stated. [3] Appropriate work is shown, but one computational error is made, but two appropriate numbers of outcomes are stated. or [3] A correct tree diagram or sample space is shown, but only 1 or 2 is stated. or [3] A correct tree diagram or sample space is shown, but the appropriate numbers of outcomes are stated as probabilities. [2] Appropriate work is shown, but two or more computational errors are made, but two appropriate numbers of outcomes are stated. or [2] Appropriate work is shown, but one conceptual error is made, but two appropriate numbers of outcomes are stated. or [2] A correct tree diagram or sample space is shown, but no further correct work is shown. or [2] An incomplete tree diagram or sample space that shows an understanding of the problem is written, but two appropriate numbers of outcomes are stated. [1] Appropriate work is shown, but one conceptual error and one computational error are made, but two appropriate numbers of outcomes are stated. or [1] An incorrect tree diagram or sample space that shows an understanding of the problem is written, but only one appropriate number of outcomes is stated. or [1] 1 and 2, 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 August 12 [7] (38) [4] 54 and 23, and appropriate work is shown. [3] Appropriate work is shown, but one computational or rounding error is made, but appropriate solutions are found. [2] Appropriate work is shown, but two or more computational or rounding errors are made, but appropriate solutions are found. or [2] Appropriate work is shown, but one conceptual error is made, but appropriate solutions are found. or [2] Appropriate work is shown to find 54 or 23, but no further correct work is shown. or [2] Cos x 17 and 172 BC2 292 are written, but no further correct work is 29 shown.* [1] Appropriate work is shown, but one conceptual error and one computational or rounding error are made, but appropriate solutions are found. or [1] Cos x 17 or 172 BC2 292 is written, but no further correct work is 29 shown.* or [1] 54 and 23, 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. *Corrected 8/17/12 Integrated Algebra Rating Guide August 12 [8] (39) [4] Both inequalities are graphed and shaded correctly, and at least one is labeled, and the coordinates of a point that satisfies y x 3, but not 5x 2y 10 are stated. [3] Appropriate work is shown, but one graphing error is made, such as drawing a solid line for 5x 2y 10 or shading incorrectly, but appropriate coordinates are stated. or [3] Both inequalities are graphed and shaded correctly, but neither graph is labeled, but appropriate coordinates are stated. or [3] Both inequalities are graphed and shaded correctly, and at least one is labeled, but coordinates of a point are not stated or are stated incorrectly. [2] Appropriate work is shown, but two or more graphing or labeling errors are made, but appropriate coordinates are stated. or [2] Both inequalities are graphed and shaded correctly, but neither is labeled, and the coordinates of a point are not stated or are stated incorrectly. or [2] Appropriate work is shown, but one conceptual error is made, such as graphing the lines y x 3 and 5x 2y 10 and stating the coordinates of a point on y x 3 but not on 5x 2y 10. or [2] One of the inequalities is graphed, shaded, and labeled correctly, but no further correct work is shown. [1] Appropriate work is shown, but two or more graphing or labeling errors are made and appropriate coordinates are not stated, or are stated incorrectly. or [1] Appropriate work is shown, but one conceptual error and one graphing or labeling error are made, but appropriate coordinates are stated. or [1] Only the lines y x 3 and 5x 2y 10 are graphed, and at least one is labeled. or [1] A point that satisfies y x 3, but not 5x 2y 10 is identified and shown to be correct by checking in both inequalities, 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 August 12 [9] Map to Core Curriculum Content Strands Item Numbers Number Sense and Operations Geometry 9, 20, 31 3, 5, 6, 7, 11, 12, 15, 17, 19, 21, 22, 23, 25, 26, 27, 30, 32, 36, 38 1, 14, 16, 18, 24, 28, 33, 39 Measurement 2, 10, 35 Statistics and Probability 4, 8, 13, 29, 34, 37 Algebra Regents Examination in Integrated Algebra August 2012 Chart for Converting Total Test Raw Scores to Final Examination Scores (Scale Scores) The Chart for Determining the Final Examination Score for the August 2012 Regents Examination in Integrated Algebra will be posted on the Department s web site at: http://www.p12.nysed.gov/apda/ on Thursday, August 16, 2012. 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 August 12 [10]

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