Download Mathematics ___Syllabus_____Ms

Student Name: _______________________________________ Class Period: __________
Trigonometry & Math Analysis (Precalculus A)
Teacher: Mrs. Jane Kim, Email: [email protected], Website: www.dorseydons.org
COURSE OUTLINE: Trigonometry uses the techniques that students have previously learned from the study
of algebra and geometry. Facility with these functions as well as the ability to prove basic identities regarding
them is especially important for students intending to study calculus, more advanced mathematics, physics and
other sciences, and engineering in college. Mathematical Analysis combines many of the trigonometric,
geometric, and algebraic techniques needed to strengthen students’ conceptual understanding of problems and
mathematical reasoning in solving problems. These standards take a functional point of view toward those
topics.
 Students must earn a letter grade of C or better to meet California Universities’ admission requirements.
 Students are expected to pass the California State CST exams for HS Summative Math with a Proficient
or Advanced score.
 Students are expected to take the S.A.T or A.C.T. Exam.
The following content standards are aligned with the textbook, Houghton Mifflin
Precalculus with Limits, a Graphing Approach.
PRECALCULUS A: ALGEBRA TWO
 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution,
with graphs, or with matrices.
 3.0 & 4.0 Students are adept at operations on polynomials,
Mathematical Practices
including long division, factor polynomials representing the
difference of squares, perfect square trinomials, and the sum
1. Make sense of problems and
and difference of two cubes.
persevere in solving them.
 7.0 Students add, subtract, multiply, divide, reduce, and
2. Reason abstractly and
evaluate rational expressions with monomial and polynomial
quantitatively.
denominators and simplify complicated rational expressions,
3. Construct viable arguments
including those with negative exponents in the denominator.
and critique the reasoning of
(Combine with Algebra One Standard)
others.
 8.0 Students solve and graph quadratic equations by factoring,
4. Model with mathematics.
completing the square, or using the quadratic formula. Students
5. Use appropriate tools
apply these techniques in solving word problems. They also
strategically.
solve quadratic equations in the complex number system. (6.0
6. Attend to precision.
Students add, subtract, multiply, and divide complex numbers.)
 10.0 Students graph quadratic functions and determine the
7. Look for and make use of
maxima, minima, and zeros of the function.
structure.
 11.1, 12.0, 14.0 Students understand the inverse relationship
8. Look for and express regularity
between exponents and logarithms, and use this relationship to
in repeated reasoning.
solve problems involving logarithms and exponents; know the
Parent Initial: _______________________
Student Initial: ____________________
laws of fractional exponents, understand exponential functions, and use these functions in problems
involving growth and decay; understand and use the properties of logarithms to simplify logarithmic
numeric expressions and to identify their approximate values.
 15.0 Students determine whether a specific algebraic statement involving rational expressions, radical
expressions, or logarithmic or exponential functions is sometimes true, always true, or never true.
 22.0, 23.0, 24.0 Students find the general term and the sums of arithmetic series and of both finite and
infinite geometric series; derive the summation formulas for arithmetic series and for both finite and infinite
geometric series;solve problems involving functional concepts, such as composition, defining the inverse
function and performing arithmetic operations on functions.
SEMESTER PRECALCULUS B: PROBABILITY AND STATISTICS
 A2 18.0, 19.0 Students use fundamental counting principles to compute combinations and permutations &
use combinations and permutations to compute probabilities.
 PS 1.0 Students know the definition of the notion of independent events and can use the rules for addition,
multiplication, and complementation to solve for probabilities of particular events in finite sample spaces.
 PS 2.0 Students know the definition of conditional probability and use it to solve for probabilities in finite
sample spaces.
 PS 7.0 Students compute the variance and the standard deviation of a distribution of data.
SEMESTER PRECALCULUS B: TRIGONOMETRY
 1.0 Students understand the notion of angle and how to measure it, in both degrees and radians. They can
convert between degrees and radians.
 2.0 Students know the definition of sine and cosine as y-and x-coordinates of points on the unit circle and
are familiar with the graphs of the sine and cosine functions.
 3.0 Students know the identity cos2 (x) + sin2 (x) = 1: Students prove that this identity is equivalent to the
Pythagorean theorem and prove other trigonometric identities and simplify others by using the identity cos2
(x) + sin2 (x) = 1. For example, students use this identity to prove that sec2 (x) = tan2 (x) + 1.
 4.0 Students graph functions of the form f(t) = A sin (Bt + C) or f(t) = A cos (Bt + C) and interpret A, B, and
C in terms of amplitude, frequency, period, and phase shift.
 5.0, 6.0, 8.0 Students know the definitions of the tangent, cotangent, secant, cosecant, (and inverse)
functions and can graph them.
SEMESTER PRECALCULUS B: MATH ANALYSIS
 1.0 Students are familiar with, and can apply, polar coordinates and vectors in the plane. In particular, they
can translate between polar and rectangular coordinates and can interpret polar coordinates and vectors
graphically.
 2.0 Students are adept at the arithmetic of complex numbers. They can use the trigonometric form of
complex numbers and understand that a function of a complex variable can be viewed as a function
 5.0 Students are familiar with conic sections, both analytically and geometrically.
 6.0 Students find the roots and poles of a rational function and can graph the function and locate its
asymptotes.
 7.0 Students demonstrate an understanding of functions and equations defined parametrically and can graph
them.
 8.0 Students are familiar with the notion of the limit of a sequence and the limit of a function as the
independent variable approaches a number or infinity. They determine whether certain sequences converge
or diverge.
Parent Initial: _______________________
Student Initial: ____________________
ASSIGNMENT/PERFORMANCE GRADES:
 10 Points Each Assignment(CLASSWORK & HOMEWORK) and 5 Points for Warm-up Problems
 Include First & Last Name, Period, Date, Assignment Number, and Title.
 Show all work neatly and clearly in pencil. Box, circle, or highlight your answers.
 All work is stamped on the ASSIGNMENT SHEET.
 Projects and Activities may be worth more points.
QUIZ/TEST:
 10 - 50 POINTS for Quizzes and 50 - 100 POINTS for Unit Tests and Final Exam.
 Use Pencils and Erasers; Must show work clearly and neatly to receive points on all tests.
GRADES: Students will receive progress reports regularly. Parents and Guardians, please take the time to
review grades and attendance as well as any missing assignments or low scores on tests. If you have any
questions, you may contact the teacher through the Dorsey website www.DorseyDons.org or email.
Assignments and Agendas are posted on the website and updated regularly.
A
90% to 100%
B
80% to 89.9%
C
70% to 79.9%
D
60% to 69.9%
F
0% to 59.9%
Work Habits and Cooperation Grades are based on active participation, daily attendance, positive behavior, and
supplies student brings to class.
MAKE-UP WORK & TESTS: Students must have a written excuse to make-up assignments. Students have
one (1) day to make-up assignments. Student must speak to the teacher to make-up missed tests. If the absence
is school related (sports, field-trips, etc), the students must receive prior approval from the teacher in order to
make-up missed work and tests.
SUPPLIES: You must bring the following to class EVERY DAY:
 Packet of Pencils, Erasers, Pencil Sharpener
 3-Ring Binder w/ Lined Paper or spiral notebook
 Graph Paper
 Ruler
 Calculator (Texas Instruments Nspire or 84plus)
 Color Pencils, Highlighter, Pen
NOTEBOOK: You are required to keep a neatly organized three-ring binder for this course. You must bring
the binder to class EVERY DAY. The binder must contain these four dividers labeled as follows. Your teacher
may require additional dividers:
1. Agenda/Assignment Sheet Packets
2. Notes and Vocabulary
Parent Initial: _______________________
3. Math Journal
4. Quizzes, Tests, and Other Assignments
Student Initial: ____________________