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GRADE: VENDOR: INSTRUCTIONAL MATERIALS: SUBJECT: COPYRIGHT DATE(S): TE ISBN: SE ISBN: COMMENTS: MATHEMATICS SPECIFIC CRITERIA FOR CONTENT AND SKILLS TRIGONOMETRY OBJECTIVES Trigonometry is designed for students who have successfully completed Algebra II. Connections between right triangle trigonometry and circular functions should be emphasized. Graphing utilities such as calculators and computers will be used to enhance student learning and to aid in finding the values of trigonometric functions and their inverses. West Virginia teachers are responsible for analyzing the benefits of technology for learning and for integrating technology appropriately in the students’ learning environment. See the related grade-level Technology Standards and Objectives. The evaluation of all mathematics materials is based on separate criteria for three (3) categories: Category I: Standards Based Components Category II: Technology and Manipulatives Category III: Mathematics Content In order to be approved and listed on the West Virginia Multiple List for Mathematics Materials, each category must be evaluated separately. Category I: Standards Based Components must meet 80% (4/5) of the criteria at “In-depth” and/or “Adequate.” Category II: Technology and Manipulatives must also meet 80% (7/8) of the criteria at “In-depth” and/or “Adequate.” Category III: Mathematics Content must meet 80% of the criteria at “In-depth” and/or “Adequate” for each grade level or course. (Vendor/Publisher) (IMR Committee) Responses SPECIFIC LOCATION OF CONTENT WITHIN I= A= M= N= I A M N PRODUCT In-depth Adequate Minimal Nonexistent All materials at this grade level (1) be research based and theory driven; (2) incorporate basic, accurate information that is developmentally appropriate; (3) use interactive activities that actively engage students; (4) provide students with opportunities to model and practice relevant skills; (5) develop higher order thinking opportunities; and (6) be based on national standards. The instructional materials should provide students with opportunities to 1. define the six trigonometric functions from a right triangle perspective and fine the values of the functions of an angle in standard position given a point on the terminal side of an angle (T.3.1) Trigonometry Objectives 1 (Vendor/Publisher) SPECIFIC LOCATION OF CONTENT WITHIN PRODUCT 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. (IMR Committee) Responses I= In-depth A= Adequate M= Minimal N= Nonexistent I A M N define the six trigonometric functions from a circular function perspective (T.3.1) find the values of the other trigonometric functions, given the value of one trigonometric function (T.3.2) develop recall of the values of the six trigonometric functions of special angles as related to the unit circle (T.3.3) use a calculator to find values of the trigonometric functions for any angle measure of an angle given the value of one of its trigonometric functions (T.3.4) convert angle measures from radians to degrees and vice versa (T.3.5) verify trigonometric identities by making substitutions and recalling basic identities (T.3.6) solve trigonometric equations that include both infinite solutions and solutions with a restricted domain (T.3.7) find the value of inverse trigonometric functions (T.3.8) find the area of a triangle given the measures of two sides and the included angle or the measures of three sides (Heron's formula) (T.3.9) graph complex numbers and express them in polar form; perform operations and evaluate powers and roots using DeMoivre’s Theorem (T.3.10) solve practical problems involving triangles using trigonometric functions Pythagorean Theorem Law of Sines Law of Cosines (T.3.11) investigate and create the graphs of the six trigonometric functions and identify their attributes (domain, range, period, phase shift, amplitude, and vertical shift.) (T.3.12) Trigonometry Objectives 2 (Vendor/Publisher) SPECIFIC LOCATION OF CONTENT WITHIN PRODUCT (IMR Committee) Responses I= In-depth A= Adequate M= Minimal N= Nonexistent I A M N 14. model periodic data sets using graphs tables equations (T.3.13) 15. identify and graph the inverse of trigonometric functions with given restrictions on the domain (T.3.14) 16. develop and use formulas such as sum or difference of two angles double-angle half-angle (T.3.15) 17. perform mathematical operations with vectors and use vectors to solve practical problems (T.3.16) Trigonometry Objectives 3