South Williamsport Area School District
Course Plan Template
Teacher: Cathy Hobensack
School Year: 2014-2015
Course: Applied Trigonometry
Intended Grade Level: 12th
Course Summary This course will begin with a review of right triangle concepts and radical properties
before moving to the trigonometric functions and angles in standard position. We will study the trig
functions, beginning with SOHCAHTOA, the graphs of each of the trigonometric functions, the Unit Circle,
and oblique triangles. Analytical trigonometry, which involves trig identities and equations will follow and
we will end with applications of trigonometry, vectors, complex numbers, and polar coordinates and
equations.
Course Outcomes:
By the end of the course, students will know: the three basic trigonometric functions of the sine,
cosine, and tangent, algebraically and graphically, and how to use them in triangles to find altitudes,
magnitudes, directions, distances and angles measures.
By the end of the course, students will be able to: (1) see the relevance of trigonometry in everyday
life and (2) apply the above knowledge of periodic trigonometric functions to natural phenomena such as
astronomy, navigation, architecture, tides, monthly temperatures, heartbeats, and/or electrical currents…
Standards Targeted1
Common Core State Standards
NCTM Standards
Units of Study
Units Topic
Primary Learning Outcome
Introduction to Trigonometric Functions
Review and use geometric terms and concepts as
they relate to trigonometry, investigate similar
triangles and their properties, find function values
of any angle, and apply trigonometric functions to
find missing lengths and angles
Acute Angles and Right Triangles
Find trigonometric function values of acute angles
and non-acute angles, use the calculator to find
trigonometric function values, solve right triangles,
solve applied trigonometric problems involving
angles of elevation and depression, and bearings
1
Indicate primary Standards emphasis:
- PA Core - Math / ELA / Science & Technology / History & Social Studies
- National Content Standards (Name and Type)
- Industry Recognized Standards (Name and Type)
Revised - February 6, 2016
Course plans represent district curriculum. They will be posted to building web pages accessible to the school and community.
South Williamsport Area School District
Course Plan Template
Radian Measure and Circular Functions
Use and apply radian measure, find function values
of any angle in radian measure, evaluate circular
functions using the unit circle, find angular and
linear speeds
Graphs of Sinusoidal Functions, and other
Trigonometric Functions
Graph periodic functions sine and cosine, identify
and graph translations of the sine and cosine
graphs, graph the tangent, use trigonometric
functions and graphs to interpret phenomena that
are periodic
Trigonometric Identities
Use fundamental identities, verify trigonometric
identities, use and apply difference identities for
cosine, sine, and tangent, use double-angle
identities, and use half-angle identities
Inverse Circular Functions and Trigonometric
Equations
Use and find function values of inverse circular
functions for the sine, cosine, tangent, solve
trigonometric equations using fundamental
identities, double and half angle identities, and
inverse identities
Applications of Trigonometry and Vectors
Solve oblique triangles using the law of sines, solve
oblique triangles using the law of cosines, use
operations of vectors, and apply vectors
Complex Numbers and Polar Equations
Review complex numbers and their operations,
write the trigonometric form of complex numbers,
use the product and quotient theorems in
trigonometric form, use De Moivre’s Theorem, and
graph and solve polar equations
Advanced Learner Recommendations
Advanced learners in Applied Trigonometry should consider taking Academic Trigonometry. Advanced
learners can see the teacher for a higher level/more motivating application to real world problems. These
students can focus on the conceptual thinking by doing less practice problems and more concept check
and application problems.
Struggling Learner Recommendations
Flex period is available to struggling learners to get help with homework or review material covered in
class. Struggling students can get extra practice and tutorial online help, www.interactmath.com, which is
directly correlated with this course and textbook. Struggling students enroll in Applied Trigonometry will
concentrate on the three basic trigonometric functions of the sine, cosine, and tangent. Testing offers
multiple choice, matching, true/false problems along with the regular completion problems.
IEP Students: All accommodations included in student’s Individual Educational Plan will be followed and
modifications to the regular trigonometry curriculum will be made as needed for extra practice, testing,
and homework by the learning support teacher.
Revised - February 6, 2016
Course plans represent district curriculum. They will be posted to building web pages accessible to the school and community.
South Williamsport Area School District
Course Plan Template
Revised - February 6, 2016
Course plans represent district curriculum. They will be posted to building web pages accessible to the school and community.