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The following procedures are to be followed for scoring student answer papers for the Regents Examination in Algebra 2/Trigonometry. 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 Tuesday, June 19, 2012.

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Algebra trigonometry, Education,

ALGEBRA 2/ TRIGONOMETRY Friday, June 14, 2013 — 1:15 – 4:15 p.m. SAMPLE RESPONSE SET Table of Contents Practice Papers—Question 28 . . . . . . . . . . . . . . . . . . . . . . . 2 Practice Papers—Question 29 . . . . . . . . . . . . . . . . . . . . . . . 6 Practice Papers—Question 30 . . . . . . . . . . . . . . . . . . . . . . 10 Practice Papers—Question 31 . . . . . . . . . . . . . . . . . . . . . . 15 Practice Papers—Question 32 . . . . . . . . . . . . . . . . . . . . . . 18 Practice Papers—Question 33 . . . . . . . . . . . . . . . . . . . . . . 21 Practice Papers—Question 34 . . . . . . . . . . . . . . . . . . . . . . 26 Practice Papers—Question 35 . . . . . . . . . . . . . . . . . . . . . . 30 Practice Papers—Question 36 . . . . . . . . . . . . . . . . . . . . . . 33 Practice Papers—Question 37 . . . . . . . . . . . . . . . . . . . . . . 41 Practice Papers—Question 38 . . . . . . . . . . . . . . . . . . . . . . 46 Practice Papers—Question 39 . . . . . . . . . . . . . . . . . . . . . . 51 Practice Papers—Question 28 28 Determine the sum and the product of the roots of the equation 12x2 ϩ x Ϫ 6 ϭ 0. Score 2: The student has a complete and correct response. Algebra 2/Trigonometry – June ’13 [2] Practice Papers—Question 28 28 Determine the sum and the product of the roots of the equation 12x2 ϩ x Ϫ 6 ϭ 0. Score 1: The student made a computational error by omitting a negative sign. Algebra 2/Trigonometry – June ’13 [3] Practice Papers—Question 28 28 Determine the sum and the product of the roots of the equation 12x2 ϩ x Ϫ 6 ϭ 0. Score 1: The student made a conceptual error by using the expression Algebra 2/Trigonometry – June ’13

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Algebra trigonometry, Education,

SAMPLE RESPONSE SET Table of Contents Question 28 . . . . . . . . . . . . . . . . . . . 2 Question 29 . . . . . . . . . . . . . . . . . . . 5 Question 30 . . . . . . . . . . . . . . . . . . . 9 Question 31 . . . . . . . . . . . . . . . . . . 12 Question 32 . . . . . . . . . . . . . . . . . . 16 Question 33 . . . . . . . . . . . . . . . . . . 21 Question 34 . . . . . . . . . . . . . . . . . . 25 Question 35 . . . . . . . . . . . . . . . . . . 28 Question 36 . . . . . . . . . . . . . . . . . . 31 Question 37 . . . . . . . . . . . . . . . . . . 37 Question 38 . . . . . . . . . . . . . . . . . . 44 Question 39 . . . . . . . . . . . . . . . . . . 49 Question 28 28 Show that sec θ sin θ cot θ ϭ 1 is an identity. Score 2: The student has a complete and correct response. Algebra 2/Trigonometry – Jan. ’14 [2] Question 28 28 Show that sec θ sin θ cot θ ϭ 1 is an identity. Score 1: 1 sin θ The student made a substitution error by replacing _____ with _____ . Algebra 2/Trigonometry – Jan. ’14 tan θ [3] cos θ Question 28 28 Show that sec θ sin θ cot θ ϭ 1 is an identity. Score 0: The student made multiple errors when substituting for sec θ and sin θ. Algebra 2/Trigonometry – Jan. ’14 [4] Question 29 29 Find, to the nearest tenth of a square foot, the area of a rhombus that has a side of 6 feet and an angle of 50°. Score 2: The student has a complete and correct response. Algebra 2/Trigonometry – Jan. ’14

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Algebra trigonometry, Education,

This review was originally written for my Calculus I class but it should be accessible to anyone needing a review in some basic algebra and trig topics. The review contains the occasional comment about how a topic will/can be used in a calculus class. If you aren’t in a calculus class you can ignore these comments. I don’t cover all the topics that you would see in a typical Algebra or Trig class, I’ve mostly covered those that I feel would be most useful for a student in a Calculus class although I have included a couple that are not really required for a Calculus class. These extra topics were included simply because the do come up on occasion and I felt like including them. There are also, in all likelihood, a few Algebra/Trig topics that do arise occasionally in a Calculus class that I didn’t include. Because this review was originally written for my Calculus students to use as a test of their algebra and/or trig skills it is generally in the form of a problem set. The solution to the first problem in a set contains detailed information on how to solve that particular type of problem. The remaining solutions are also fairly detailed and may contain further required information that wasn’t given in the first problem, but they probably won’t contain explicit instructions or reasons for performing a certain step in the solution process. It was my intention in writing the solutions to make them detailed enough that someone needing to learn a particular topic should be able to pick the topic up from the solutions to the problems. I hope that I’ve accomplished this.

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Algebra trigonometry, Education,

Algebra 2 and Trigonometry is a new text for a course in intermediate algebra and trigonometry that continues the approach that has made Amsco a leader in presenting mathematics in a modern, integrated manner. Over the last decade, this approach has undergone numerous changes and refinements to keep pace with ever-changing technology. This textbook is the final book in the three-part series in which Amsco parallels the integrated approach to the teaching of high school mathematics promoted by the National Council of Teachers of Mathematics in its Principles and Standards for School Mathematics and mandated by the New York State Board of Regents in the Mathematics Core Curriculum. The text presents a range of materials and explanations that are guidelines for achieving a high level of excellence in their understanding of mathematics. In this book: ✔ The real numbers are reviewed and the understanding of operations with irrational numbers, particularly radicals, is expanded. ✔ The graphing calculator continues to be used as a routine tool in the study of mathematics. Its use enables the student to solve problems that require computation that more realistically reflects the real world. The use of the calculator replaces the need for tables in the study of trigonometry and logarithms. ✔ Coordinate geometry continues to be an integral part of the visualization of algebraic and trigonometric relationships. ✔ Functions represent a unifying concept throughout. The algebraic functions introduced in Integrated Algebra 1 are reviewed, and exponential, logarithmic, and trigonometric functions are presented. ✔ Algebraic skills from Integrated Algebra 1 are maintained, strengthened, and expanded as both a holistic approach to mathematics and as a bridge to advanced studies. ✔ Statistics includes the use of the graphing calculator to reexamine range, quartiles, and interquartile range, to introduce measures of dispersion such as variance and standard deviation, and to determine the curve that best represents a set of bivariate data.

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Algebra trigonometry, Education,

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Algebra trigonometry, Manuals,

SchooIName: ________~>~+_~-'~·.~'_,,_·w_"'_________________________________ 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. Write 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 ...

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Algebra trigonometry, Education,

ALGEBRA 2/TRIGONOMETRY Tuesday, January 28, 2014 — 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 for 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.

Tags:
Algebra trigonometry, Education,