MATH
Algebra 1
Prerequisite: B or better in Transitions to Algebra
or proficient on STAR test in General Math.
Meets UC and CSU ÒcÓ requirement
Standards Algebra
Grades
11 and 12. This course is designed
to satisfy the State of California and San Ramon Valley Unified School District
graduation requirement of passing a yearlong course covering the California
Algebra 1 standards. This standards
based course is NOT a replacement for Algebra 1 and does not satisfy the
prerequisites for High School Geometry.
This
course is not U.C. and C.S.U.
certified.
Geometry
The
objective of this course is to help the student understand plane and space
relationships. Topics covered
are: basic spatial concepts,
deductive proofs, parallelism, perpendicularity, congruence, quadrilaterals,
ratio and proportion, similar polygons, the Pythagorean Theorem, right triangle
trigonometry, circles, coordinate geometry, regular polygons, areas, volumes,
compass and straight edge constructions, and optional subjects as time allows.
Prerequisite: B or better in Algebra 1 (both
semesters) or proficient on STAR test in Algebra 1.
Meets UC and CSU ÒcÓ requirement
Algebra 2
Algebra 2 is a college prep
course which emphasizes review of Algebra I, the Real and Complex Number
Systems, solving equations and inequalities, and functions including linear,
quadratic, exponential, logarithmic, and rational. Sequences and series, determinants, conic sections, the
Binomial Theorem, permutations, combinations, and probability will also be
covered.
Prerequisite:
C or better in Geometry (both semesters).
Meets U.C. and C.S.U. ÒcÓ
requirement.
Advanced Algebra 2
Advanced Algebra 2 is a rigorous college prep course,
designed to prepare the students for Pre-Calculus w/ Trig. It covers the real
and complex number systems, solving equations and inequalities, and functions
including linear, quadratic, trigonometric, exponential, and rational.
Logarithmic sequences and series, the Binomial Theorem, determinants,
permutations, combinations, and probability will also be covered. This advanced
course spends less time on the initial review chapters, and investigates later
chapters in greater depth.
Prerequisite: Placement based upon multiple criteria
which include grade in previous course, placement test, and final exam score.
This course meets
the UC & CSU "c" requirement but does not receive a weighted grade.
Pre-Calculus With
Trigonometry
Graphical calculator
required (TI-84 recommended; TI-89 is not allowed on many exams). This is a course in functions, development of the
trigonometric functions through
the use of the concept of circular functions, graphical characteristics of the trigonometric functions-including translations,
amplitude, change of period,
domain, range, and sums and differences of functions, inverse trigonometric functions-notations and graphs, trigonometric
identities, including addition and
double-angle and half-angle formulas, use of degree and radian measures, solution of trigonometric equations, polar
coordinates and vectors; solution
of problems related to force and navigation, matrices and determinants, higher degree equations, logarithmic functions,
rational functions, summation
notation, mathematical induction, the conic sections (parabola, ellipse, hyperbola), translations and rotations of the
axes and curve sketching.
Prerequisite:
C or better in Algebra 2 (both semesters). Recommended: B
in Algebra 2.
Meets U.C. and C.S.U. ÒcÓ requirement.
Honors Pre-Calculus With
Trigonometry
All
students interested in this course should sign up for the regular Pre-calculus
with Trigonometry course listed above.
A screening process, which includes prior mathematics course and final
exam grades, and a placement test, will determine the list of qualified
students who will be then placed into Honors Pre-calculus with
Trigonometry. This course spends
much less time on initial review and investigates the content of in greater
depth and rigor, and pace. The chapter on Limits is also covered in the Honors
course. A graphical calculator is required (the TI84+ is recommended, the TI-89
is not allowed on many exams).
Prerequisite: Placement based upon multiple criteria
which include grade in previous course, placement test, and final exam score.
This course meets
the UC & CSU "c" requirement
AP Calculus AB
(TI-84 recommended;
TI-89 is NOT allowed on many exams). All
students interested in this course should sign up for Calculus. Following the
screening process, counselors will place qualified students into Calculus AB
AP. This course includes the
following topics: functions and graphs, limits, derivative, continuity and
sequences; differentiation of algebraic functions; and applications of
differential calculus; Rolles and Mean Value Theorems, graphing, applied
minima-maxima, concavity, differentials, related rates, anti-derivatives, the
theory and applications of integral calculus, methods of integration,
differentiation and integration of transcendental functions. Problems requiring
the use of graphical calculators will be included in the curriculum. Graphical
calculator problems will also be on the AP Exam. Time is spent in preparing for
the AP Exam in Calculus. Problems will be approached from four perspectives: graphical, numerical, analytical, and
verbal.
Prerequisite: Placement based upon multiple criteria
which include grade in previous course, placement test, and final exam score.
Meets U.C. and C.S.U. ÒcÓ
requirement.
AP Calculus BC
Graphical calculator required (TI-84 is
recommended; TI-89 is NOT allowed on many exams).
This
course will include a brief review of the topics covered in AP Calculus AB.
Additional topics will include: parametric, polar, and vectors functions,
including their derivatives and applications; numerical solutions to
differential equations using EulerÕs method; LÕHopitalÕs Rule; applications of
integrals including arc length and surface area; all methods of integration;
improper integrals; solution of logistic differential equations; sequences and
series and tests for convergence and divergence; Maclaurin and Taylor
Series. Problems will be
approached from four perspectives:
graphical, numerical, analytical, and verbal.
Prerequisite: Placement based upon multiple criteria
which include grade in previous course, placement test, and final exam score.
Meets U.C. and C.S.U. ÒcÓ
requirement.
High School Math
This
course is designed for 10th graders who need to prepare for the
California High School Exit Exam (CAHSEE). This course is also suitable for students who have
taken Transition to Algebra.
Math Lab
This
is a computer based assisted elective course intended to build student
confidence and develop basic skills necessary to be successful in the math
curriculum. It is meant to be taken concurrently with the Transition to Algebra
or Algebra 1 class. The topics will be individualized to meet student needs.
The class will only be offered during A period and will meet on alternating
block days. This is not a college preparatory class.
Statistics AP
This
course prepares the student for basic (non-calculus) college statistics. College statistics is necessary for
many non-science majors. The
topics covered are those required for the Advanced Placement Statistics
Exam. Among the topics covered is
exploratory analysis of data (observing patterns and departures from patterns
while making use of graphical and numerical techniques), planning a study
(deciding what and how to measure), anticipating patterns (producing models
using probability theory and simulation), and statistical inference (making
inferences with the z-test, t-test, chi-square procedure, and regression
analysis).A graphical calculator is required (TI-83 or Tl-84 is recommended.)
Prerequisite: B
or better in Algebra 2 (both semesters).
Meets UC and
CSU ÒcÓ requirement