Download trigonometry objectives

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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
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Category II: Technology and Manipulatives
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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.”
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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
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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
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(IMR Committee) Responses
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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
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(Vendor/Publisher)
SPECIFIC LOCATION
OF CONTENT WITHIN
PRODUCT
(IMR Committee) Responses
I=
In-depth
A=
Adequate
M=
Minimal
N=
Nonexistent
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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
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