VOLUNTEER HIGH SCHOOL

COURSE SYLLABUS

COURSE NAME: MATH Advanced Algebra / Trigonmetry

DESCRIPTION: Examination of linear, quadratic, polynomial, rational, exponential, and logarithmic functions and emphasizing graphical, numerical, and analytical solutions. Examination of the unit circle, right angle trigonometry, graphs of trigonometric functions, inverse trigonometric functions, verifying trigonometric identities, solving trigonometric equations, law of sines, law of cosines, and additional trigonometric applications. This course is intended as preparation for the study of calculus

TBR Learning Outcomes – Mathematics. All learning outcomes must be satisfied by any course(s) in this category. Students will demonstrate the ability to…..

a. Build on (not replicate) the competencies gained through the study of two years of high school algebra and one year of high school geometry.

b. Use mathematics to solve problems and determine if the solutions are reasonable.

c. Use mathematics to model real world behaviors and apply mathematical concepts to the solution of real-life problems.

d. Make meaningful connections between mathematics and other disciplines.

e. Use technology for mathematical reasoning and problem solving.

f. Apply mathematical and/or basic statistical reasoning to analyze data and graphs.

REQUIRED TEXT & MATERIALS:

TEXT: Precalculus, Author(s): Carter, etc. Publisher: Glencoe

Materials needed:

  • Graphing calculator ; TI-83/84 family recommended or TI-NSpire 84 or TI-NSpire CX
  • Graph paper.
  • Highlighter and colored pencil/pen.
  • Note students will have access to the school’s TI-84 during class. It is recommended that students obtain their own, however not required.

INSTRUCTIONAL METHODS: Instructional methods will vary by section as determined by the instructor. Class activities may include, but are not limited to, the following: lecture, collaborative learning activities, technology-based activities, video, internet based resources (may be used for homework, quizzes, interactive applications, tests, etc) and out-of-class assignments.

EVALUATION METHODS: Grades will be based upon homework, quizzes, technology/internet assignments, unit tests over both material from the text and material presented in class, other supplementary assignments, cumulative exams over multiple units. Weighting of categories will be detailed in a separate handout.

GRADING SCALE:

A93-100%

B85-92%

C75-84%

D70-74%

FBelow 70%

COURSE OBJECTIVES: Upon completion of this course, the student should be able to:

  • graph a function in the rectangular coordinate system.
  • identify the slope and the intercepts of a linear function.
  • understand and use function notation, domain and range.
  • solve, graph and apply linear, quadratic, polynomial, rational, piecewise, logarithmic, and exponential
    functions.
  • recognize functions whether represented as equations, graphs, or numeric tables.
  • apply algebraic concepts to realistic problems.
  • express the transformation of a function, both graphically and algebraically.
  • use trigonometric and inverse trigonometric functions to solve right triangles.
  • use the unit circle to demonstrate properties of trigonometric functions
  • use and apply radian measure
  • solve trigonometric equations for angles in a given domain
  • use trigonometry to solve applied problems
  • represent trigonometric functions graphically and symbolically including sinusoidal functions
  • simplify trigonometric expressions and verify trigonometric identities
  • use trigonometric identities such as reciprocal identities, quotient identities, Pythagorean identities,

co-function identities, negative angle identities, sum and difference identities, power reducing identities,

and double and half angle identities

  • solve trigonometric equations with multiple angles, trigonometric equations in quadratic form, and

limited coverage of those requiring use of identities and separations of functions

  • Solve oblique triangles using Law of Sines and Law of Cosines
  • Convert between polar and rectangular forms for coordinates; illustrate polar coordinates
  • Represent vectors graphically and perform basic operations with vectors
  • Develop the problem solving skills for solving real world applications that require the use of

trigonometric equations for a wide-range of disciplines with emphasis on the sciences and engineering

  • Use technology for analysis, for problem solving, to enhance understanding and in determining if

solutions are reasonable.

COURSE CONTENT:

  • Graphs and graphing utilities
  • Transformations of graphs
  • Function notation
  • Combinations of functions
  • Linear equations: modeling, solving, programming
  • Complex numbers
  • Linear inequalities
  • Quadratic functions
  • Polynomial functions
  • Rational functions
  • Exponential functions
  • Logarithmic function
  • Trigonometric Functions

Angles and Radian Measure

The Unit Circle; Trigonometric Functions

Right Angle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Combining Waves

  • Analytic Trigonometry

Verifying Trigonometric Identities

Sum and Difference Formulas

Double Angle, Power Reducing, and Half Angle Formulas

Product-to-Sum Formulas and Sum- to -Product Formulas

Trigonometric Equations

  • Applications of Trigonometric Functions

Law of Sines

Law of Cosines

Polar Coordinates

Vectors

INSTITUTIONAL POLICY STATEMENTS:

  • Classroom Management Policy: The instructor has the primary responsibility for the control over classroom/laboratory behavior and maintenance of academic integrity and can order the temporary removal or exclusion from the classroom of any student engaged in disruptive conduct or conduct violating the general rules and regulations of the school and system. Extended or permanent exclusion from the classroom/laboratory or further disciplinary action can be affected only through appropriate procedures of the school
  • Plagiarism Statement: Plagiarism, cheating, and other forms of academic dishonesty are prohibited. Any academic misconduct will be reported to administration.