FOR TEACHERS ONLY. The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY SCORING KEY AND RATING GUIDE

Transcription

1 FOR TEACHERS ONLY The University of the State of New Yk REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Tuesday, January 25, :15 to 4:15 p.m., only SCORING KEY AND RATING GUIDE Mechanics of Rating The following procedures are to be followed f scing student answer papers f the Regents Examination in Algebra 2/Trigonometry. Me detailed infmation about scing is provided in the publication Infmation Booklet f Scing the Regents Examinations in Mathematics. Use only red ink red pencil in rating Regents papers. Do not attempt to crect the student s wk by making insertions changes of any kind. Use check marks to indicate student errs. Unless otherwise specified, mathematically crect variations in the answers will be allowed. Units need not be given when the wding of the questions allows such omissions. Each student s answer paper is to be sced by a minimum of three mathematics teachers. On the back of the student s detachable answer sheet, raters must enter their initials in the boxes next to the questions they have sced and also write their name in the box under the heading Rater s/scer s Name. Raters should recd the student s sces f all questions and the total raw sce on the student s detachable answer sheet. Then the student s total raw sce should be converted to a scale sce by using the conversion chart that will be posted on the Department s web site on Tuesday, January 25, The student s scale sce should be entered in the box provided on the student s detachable answer sheet. The scale sce is the student s final examination sce.

2 Part I Allow a total of 54 credits, 2 credits f each of the following. Allow credit if the student has written the crect answer instead of the numeral 1, 2, 3, 4. (1) 4 (8) 2 (15) 3 (22) 4 (2) 3 (9) 2 (16) 2 (23) 1 (3) 2 (10) 3 (17) 1 (24) 4 (4) 3 (11) 4 (18) 4 (25) 1 (5) 3 (12) 1 (19) 3 (26) 2 (6) 1 (13) 2 (20) 1 (27) 4 (7) 3 (14) 2 (21) 3 Algebra 2/Trigonometry Jan. 11 [2]

3 Updated infmation regarding the rating of this examination may be posted on the New Yk State Education Department s web site during the rating period. Check this web site and select the link Examination Scing Infmation f any recently posted infmation regarding this examination. This site should be checked befe the rating process f this examination begins and several times throughout the Regents examination period. General Rules f Applying Mathematics Rubrics I. General Principles f Rating The rubrics f the constructed-response questions on the Regents Examination in Algebra 2/Trigonometry are designed to provide a systematic, consistent method f awarding credit. The rubrics are not to be considered all-inclusive; it is impossible to anticipate all the different methods that students might use to solve a given problem. Each response must be rated carefully using the teacher s professional judgment and knowledge of mathematics; all calculations must be checked. The specific rubrics f each question must be applied consistently to all responses. In cases that are not specifically addressed in the rubrics, raters must follow the general rating guidelines in the publication Infmation Booklet f Scing the Regents Examinations in Mathematics, use their own professional judgment, confer with other mathematics teachers, and/ contact the consultants at the State Education Department f guidance. During each Regents examination administration period, rating questions may be referred directly to the Education Department. The contact numbers are sent to all schools befe each administration period. II. Full-Credit Responses A full-credit response provides a complete and crect answer to all parts of the question. Sufficient wk is shown to enable the rater to determine how the student arrived at the crect answer. When the rubric f the full-credit response includes one me examples of an acceptable method f solving the question (usually introduced by the phrase such as ), it does not mean that there are no additional acceptable methods of arriving at the crect answer. Unless otherwise specified, mathematically crect alternative solutions should be awarded credit. The only exceptions are those questions that specify the type of solution that must be used; e.g., an algebraic solution a graphic solution. A crect solution using a method other than the one specified is awarded half the credit of a crect solution using the specified method. III. Appropriate Wk Full-Credit Responses: The directions in the examination booklet f all the constructed-response questions state: Clearly indicate the necessary steps, including appropriate fmula substitutions, diagrams, graphs, charts, etc. The student has the responsibility of providing the crect answer and showing how that answer was obtained. The student must construct the response; the teacher should not have to search through a group of seemingly random calculations scribbled on the student paper to ascertain what method the student may have used. Responses With Errs: Rubrics that state Appropriate wk is shown, but are intended to be used with solutions that show an essentially complete response to the question but contain certain types of errs, whether computational, rounding, graphing, conceptual. If the response is incomplete; i.e., an equation is written but not solved an equation is solved but not all of the parts of the question are answered, appropriate wk has not been shown. Other rubrics address incomplete responses. IV. Multiple Errs Computational Errs, Graphing Errs, and Rounding Errs: Each of these types of errs results in a 1-credit deduction. Any combination of two of these types of errs results in a 2-credit deduction. No me than 2 credits should be deducted f such mechanical errs in any response. The teacher must carefully review the student s wk to determine what errs were made and what type of errs they were. Conceptual Errs: A conceptual err involves a me serious lack of knowledge procedure. Examples of conceptual errs include using the increct fmula f the area of a figure, choosing the increct trigonometric function, multiplying the exponents instead of adding them when multiplying terms with exponents. A response with one conceptual err can receive no me than half credit. If a response shows repeated occurrences of the same conceptual err, the student should not be penalized twice. If the same conceptual err is repeated in responses to other questions, credit should be deducted in each response. If a response shows two ( me) different maj conceptual errs, it should be considered completely increct and receive no credit. If a response shows one conceptual err and one computational, graphing, rounding err, the teacher must award credit that takes into account both errs; i.e., awarding half credit f the conceptual err and deducting 1 credit f each mechanical err (maximum of two deductions f mechanical errs). Algebra 2/Trigonometry Jan. 11 [3]

4 Part II F each question, use the specific criteria to award a maximum of two credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (28) [2] 0, and appropriate algebraic wk is shown. [1] Appropriate wk is shown, but one computational err is made. [1] Appropriate wk is shown, but one conceptual err is made. [1] 0, but a method other than algebraic is used. [1] 0, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (29) [2] 143.2, and appropriate wk is shown. [1] Appropriate wk is shown, but one computational rounding err is made. [1] Appropriate wk is shown, but one conceptual err is made. [1] 143.2, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra 2/Trigonometry Jan. 11 [4]

5 (30) [2] 8, and appropriate wk is shown. [1] Appropriate wk is shown, but one computational err is made. [1] Appropriate wk is shown, but one conceptual err is made. [1] A crect equation is written, but no further crect wk is shown. [1] 8, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (31) [2] 230, and appropriate wk is shown. [1] Appropriate wk is shown, but one computational err is made. [1] Appropriate wk is shown, but one conceptual err is made. [1] 230, but no wk is shown. [0] 220, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra 2/Trigonometry Jan. 11 [5]

6 (32) [2] 5 x 8, and 3 y 2, Domain: [ 5, 8] and Range: [ 3, 2], an equivalent answer is stated. [1] One conceptual err is made. [1] Either the domain the range is stated crectly [1] [ 5, 8] and [ 3, 2] are stated, but neither is labeled. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (33) [2] 3x 2 y 2y, and appropriate wk is shown. [1] Appropriate wk is shown, but one computational simplification err is made. [1] Appropriate wk is shown, but one conceptual err is made. [1] 3x 2 y 2y, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra 2/Trigonometry Jan. 11 [6]

7 (34) [2] 68 and 16, and appropriate wk is shown. [1] Appropriate wk is shown, but one computational rounding err is made. [1] Appropriate wk is shown, but one conceptual err is made. [1] 68 and 16, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. (35) [2] Appropriate wk is shown, such as dividing each term by cos 2 A. [1] Appropriate wk is shown, but one computational substitution err is made. [1] Appropriate wk is shown, but one conceptual err is made. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra 2/Trigonometry Jan. 11 [7]

8 Part III F each question, use the specific criteria to award a maximum of four credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (36) [4] 32x5 80x x 3 40x 2 +10x 1, and appropriate wk is shown. [3] Appropriate wk is shown, but one computational simplification err is made. [2] Appropriate wk is shown, but two me computational simplification errs are made. [2] Appropriate wk is shown, but one conceptual err is made. [1] Appropriate wk is shown, but one conceptual err and one computational simplification err are made. [1] A crect substitution is made into the binomial expansion fmula, but no further crect wk is shown. [1] 32x5 80x x 3 40x 2 +10x 1, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra 2/Trigonometry Jan. 11 [8]

9 (37) [4] m B = 26.2, and m C = 121.8, c = 19.2, and appropriate wk is shown. [3] Appropriate wk is shown, but one computational, rounding, labeling err is made. [3] Appropriate wk is shown, but only the measures of one angle and one side are found and labeled crectly. [2] Appropriate wk is shown, but two me computational, rounding, labeling errs are made. [2] Appropriate wk is shown, but one conceptual err is made. [2] Appropriate wk is shown, but only the measures of B and C are found and labeled crectly. [2] Appropriate wk is shown, but only the measure of side c is found. [1] Appropriate wk is shown, but one conceptual err and one computational, rounding, labeling err are made. [1] Appropriate wk is shown to find m B = 26.2, but no further crect wk is shown. [1] m B = 26.2, m C = 121.8, and c = 19.2, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra 2/Trigonometry Jan. 11 [9]

10 (38) [4] 0.468, and appropriate wk is shown. [3] Appropriate wk is shown, but one computational rounding err is made. [3] Appropriate wk is shown to find 3072 an equivalent fraction, but no 6561 further crect wk is shown. [2] Appropriate wk is shown, but two me computational rounding errs are made. [2] Appropriate wk is shown, but one conceptual err is made, such as finding P(at most 6 games) [2] 8 C C 7 3 wk is shown C , but no further crect [1] Appropriate wk is shown, but one conceptual err and one computational rounding err are made. [1] The probability of winning exactly 6 baseball games is calculated crectly. [1] 0.468, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra 2/Trigonometry Jan. 11 [10]

11 Part IV F this question, use the specific criteria to award a maximum of six credits. Unless otherwise specified, mathematically crect alternative solutions should be awarded appropriate credit. (39) [6] k = and T = 108, and appropriate algebraic wk is shown. [5] Appropriate wk is shown, but one computational rounding err is made. [4] Appropriate wk is shown, but two computational rounding errs are made. [3] Appropriate wk is shown, but three me computational rounding errs are made. [3] Appropriate wk is shown, but one conceptual err is made. [3] k = and T = 108, but a method other than algebraic is used. [2] Appropriate wk is shown, but one conceptual err and one computational rounding err are made. [2] k = 0.104, and appropriate wk is shown, but no further crect wk is shown. [1] Appropriate wk is shown, but one conceptual err and two me computational rounding errs are made. [1] k = and T = 108, but no wk is shown. [0] A zero response is completely increct, irrelevant, incoherent is a crect response that was obtained by an obviously increct procedure. Algebra 2/Trigonometry Jan. 11 [11]

12 Map to Ce Curriculum Content Strand Item Numbers Number Sense and Operations 11, 14, 31 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 15, 16, Algebra 18, 19, 20, 21, 22, 23, 24, 26, 28, 30, 32, 33, 35, 36, 37, 39 Measurement 29 Statistics and Probability 8, 17, 25, 27, 34, 38 Regents Examination in Algebra 2/Trigonometry January 2011 Chart f Converting Total Test Raw Sces to Final Examination Sces (Scale Sces) The Chart f Determining the Final Examination Sce f the January 2011 Regents Examination in Algebra 2/Trigonometry will be posted on the Department s web site on Tuesday, January 25, Conversion charts provided f previous administrations of the Algebra 2/Trigonometry examination must NOT be used to determine students final sces f this administration. Online Submission of Teacher Evaluations of the Test to the Department Suggestions and feedback from teachers provide an imptant contribution to the test development process. The Department provides an online evaluation fm f State assessments. It contains spaces f teachers to respond to several specific questions and to make suggestions. Instructions f completing the evaluation fm are as follows: 1. Go to 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 fm. Algebra 2/Trigonometry Jan. 11 [12]