# Math Courses

**MATH** **Algebra 1**

The course content includes working with properties of real numbers, solving linear equations, graphing linear equations and functions, writing linear equations, solving and graphing linear inequalities, systems of linear equations and inequalities, exponents and exponential functions, quadratic equations and functions, polynomials and factoring, rational expression and equations, and radicals and connections to Geometry. (NOTE: Calculators are NOT allowed)

*Prerequisite: B or better in Transitions to Algebra or proficient on STAR test in General Math.*

Meets UC and CSU “c” 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 “c” 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. “c” 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 functionsthrough the use of the concept of circular functions, graphical characteristicsof the trigonometric functions-including translations, amplitude, change ofperiod, domain, range, and sums and differences of functions, inverse trigonometricfunctions-notations and graphs, trigonometric identities, includingaddition and double-angle and half-angle formulas, use of degree and radianmeasures, 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. “c” 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. “c” 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 Euler’s method; L’Hopital’s 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.

Meets U.C. and C.S.U. “c” requirement.

**High School Math**

This course is designed for 10^{th} 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 “c” requirement