Advanced Algebra/Trigonometry Honors - COURSE SYLLABUS
TEACHER: Ms. Hunsberger
PHONE:
SCHEDULE: Meets daily for one semester (Pd. 1).
MATERIALS:
ROOM: C-13
EMAIL: chunsberger@palisadessd.org
SEMESTER: Spring 2016
Text: Brown, Richard, G., Advanced Mathematics, Houghton Mifflin, 1994.
Supplies: A three-ring binder, lined paper, pencil, eraser, and a graphing calculator.
Calculator: You will need your own graphing calculator for this class. I recommend TI-84, or TI-84+. You may also use the online
calculator.
COURSE CONTENT:
DESCRIPTION OF COURSE:
This course is designed to review and expand upon the fundamentals of Algebra and to teach the theory and the use of the basic
circular and trigonometric functions. Additionally, the course will serve to introduce students to concepts preparatory to Calculus.
Students in this Honors section will engage in more individual investigations, more advanced applications and more advanced
Trigonometric topics.
TITLES OF UNITS:
Advanced Algebra
Review of Algebra
1. Special triangles
2. Factoring – solving quadratics
3. Ratio/proportion
4. Simplification of radicals
Linear and Quadratic Functions
1. Points, slopes and lines
2. Finding equations of lines
3. Complex numbers
4. Solving and graphing quadratics
5. Linear and quadratic models
Polynomial Function
1. Remainder and factor theorems, synthetic division
2. Graphing polynomial functions
3. Finding maximums and minimums
4. Solving polynomial equations by technology and by
factoring
Inequalities
1. Linear Inequalities
2. Polynomial Inequalities in one variable
Functions
1. Properties of functions
2. Operations on functions
3. Graphing functions
4. Function project
Exponents and Logarithms
1. Growth and decay: integral and rational exponents
2. Exponential and logarithmic functions
3. Natural number e
4. Laws of logarithms
5. Exponential equations
Midterm Review and Midterm Exam
Ch 6 Polynomials and Polynomial Functions
1. Polynomial Functions
Trigonometry
2. Polynomials and Linear Factors
3. Dividing Polynomials
Trigonometric
Functions
4. Angles,
Solvingarcs
Polynomial
Equations
1.
and sectors
5.
Theorems
About
Roots
2. Sine
and cosine
functions
3. Cotangent, tangent, secant and cosecant functions
Ch4.7Inverse
Radicaltrig
Functions
functionsand Rational Exponents
Supplement
- Properties
5.* Graphs
of trig
functions of Exponents (Pg. 368)
1. Roots and Radicals Expressions (ignore Abs Value
Notation) Equations and Applications
Trigonometric
2. Solving
Multiplying
and
Dividing
Radical Expressions
1.
simple
trig
equations
3. Sine
Binomial
Radical
Expressions
2.
and cosine
curves
4. Modeling
Rational Exponents
3.
periodic behavior
5. Simplifying
Solving Square
Root and Other
Radical Equations
4.
trig expressions
(relationships
among
functions)
Ch5.8Solving
Exponential
andtrig
Logarithmic
complex
equations Functions
1. Exploring Exponential Models
3. Logarithmic
Functions and Inverses
Triangle
Trigonometry
4. Solving
Properties
oftriangles
Logs
1.
right
5. Area
Logarithmic
& Exponential Equations
2.
of triangles
3. Law of sines
Ch4.9Law
Rational
Functions
of cosines
4. Application
Rational Expressions
5.
to surveying and navigation
5. Adding and Subtracting Rational Expressions
6. Solving Rational
Trigonometry
AdditionEquations
Formulas
1. Formulas for cos(ά ± β), sin(ά ± β) and tan(ά ± β)
Ch2.4 Matrices
(Timeand
permitting.)
Double angle
half angle formulas
1. Introduce
Dimensions equations
3.
Solving trigonometric
2. Adding & Subtracting Matrices
7. Solving
& Show
Final
ReviewSystems
and Final
Examhow to calc determinant
Probability Unit (Time permitting.)
1-6 Probability
6-7 Permutations/Combinations
9-7 Probability of Multiple Events
Final Exam Review and Final Exam
EVALUATION:
Quarter Grade:
Course Grade:
Test, Quizzes, and Performance Tasks: 90%
Homework/Class work: 10%
First Quarter: 40%
Second Quarter: 40%
Exams (Average of Midterm and/or Cumulative Final): 20%
CLASSROOM POLICIES:
 DO your classwork and homework to really learn the material, not just to get it done!! Show all work!
 Help yourself and your classmates by fully participating in class and in your groups. Ask questions and explain
your understanding of the concepts fully. Carefully check your work!
 A retest will be given only if you have maintained an A average on your homework in that chapter, you must
come in for extra help, and you must retest within 2 weeks of the original test. The highest score you can get on a
retest is a 70%.
 Get help as soon as you start to struggle and be persistent in trying to gain a full understanding of the concepts.
 Absences, lateness, and plagiarism will be dealt with according to school policy. See your student handbook for
details.
 If you miss class to participate in a school-approved trip or activity, the assignment is still due! (Student
Handbook).
HOMEWORK/BELL-RINGER POLICY:
When you come into class, get your homework out and get started on the bell-ringer for the day. Do your work on a separate
sheet of paper and write the answers in the calendar square for that day. As you are doing the bell-ringer, I will come around
and check your homework.
Homework will be assigned regularly. Late homework will receive no credit. Work must be shown for each problem,
answers only is not acceptable! Grades for homework will be determined as follows:
Full credit: All problems are completed, corrected and well explained.
Half credit: Partially done, with at least half completed or corrected and/or many explanations are missing.
No credit: Less than half has been attempted and/or less than half of the explanations are missing.
Do it to learn and ask questions if you are unsure. HAVE SOMETHING WRITTEN FOR EVERY PROBLEM!
1
You will sign your name in the homework booklet if you have not done your homework, or sign your name − 2 if it is
partially done.
Bell Ringer Checks: You will be expected to have an answer for every day there is a bell ringer, and at the end of each
month you will hand in a bell ringer check (3 random dates will be chosen). If you are absent, get the answer from a
classmate.
Homework Checks: You will be expected to hand in work and answers randomly when asked for.
PORTFOLIO ENTRIES: Projects and selected performance assessments all make great portfolio entries.
**Course content may vary from this outline to meet the needs of this particular student.**