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    MATHEMATICS

     

     

    COURSE DESCRIPTIONS

     

    Prerequisites are listed in order to make students aware of the level or proficiency necessary to successfully complete each course.  Please do not register for a class unless you have met the prerequisite.                           

     

    CAHSEE MATH

    10 Credits / Grades 11-12

    Prerequisite:  Algebra I or Algebra A/B/C/D sequence passed; CAHSEE math not passed

    HS (c)

     

    This course is required for juniors and seniors who have passed Algebra I or the Algebra A/B/C/D sequence and have not passed the math section of the high school exit exam.  The main focus of the course will be to help students prepare for the CAHSEE.  Additional topics will be covered after the CAHSEE in the spring.  This course may be repeated for credit.

     

    ALGEBRA A/B

    10 Credits / Grade 9-12

    Prerequisite:  Teacher recommendation

    HS (c)

     

    This is the first year of a two-year Algebra I sequence.  It will encompass the first half of the entire Algebra I curriculum.  It requires abstract thinking and includes topics dealing with rational and irrational numbers and mathematical structure.  The California Content Standards in Algebra I will be covered.

     

    SDAIE ALGEBRA A/B

    10 Credits / Grades 9-12

    Prerequisite:  Teacher recommendation; CELDT Proficiency Level

    HS (c)

     

    This is the first year of a two-year Algebra I sequence.  It will encompass the first half of the entire Algebra I curriculum.  It requires abstract thinking and includes topics dealing with rational and irrational numbers and mathematical structure.  The California Content Standards in Algebra I will be covered.  Sheltered instructional strategies are utilized.

     

    ALGEBRA C/D

    10 Credits / Grade 9-12

    Prerequisite:  Passing grade in Algebra A/B

    HS (c); CSU / UC (c)

     

    This is the second year of a two-year Algebra I sequence.  It will encompass the second half of the entire Algebra I curriculum.  It requires abstract thinking and includes topics dealing with rational and irrational numbers and mathematical structure.  The California Standards in Algebra I will be covered.  Completing Algebra D with a “C” or better will satisfy one year of the CSU and UC entrance requirement, section c, for mathematics.

     

    SDAIE ALGEBRA C/D

    10 Credits / Grades 9-12

    Prerequisite:  Passing grade in Algebra A/B; CELDT Proficiency Level

    HS (c); CSU / UC (c)

     

    This is the second year of a two-year Algebra I sequence.  It will encompass the second half of the entire Algebra I curriculum.  It requires abstract thinking and includes topics dealing with rational and irrational numbers and mathematical structure.  The California Standards in Algebra I will be covered.  Completing Algebra D with a “C” or better will satisfy one year of the CSU and UC entrance requirement, section c, for mathematics.  Sheltered instructional strategies are utilized.

     

    ALGEBRA I

    10 Credits / Grades 9-12

    Prerequisite:  Math 8, grade of B or better, teacher recommendation and passing score on algebra readiness placement test; or completion of Algebra B with grade of B or better

    HS (c); CSU / UC (c)                                                                                   

    This is the first course in algebra and should be taken by those planning to attend a college or university.  It requires abstract thinking and includes topics dealing with rational and irrational numbers and mathematical structure.  The California Standards in Algebra I will be covered.

     

    SDAIE ALGEBRA I

    10 Credits / Grades 9-12

    Prerequisite:  Math 8, grade of B or better; teacher recommendation, and passing score on algebra readiness placement test; or completion of Algebra B with grade of B or better; CELDT Proficiency Level

    HS (c); CSU / UC (c)

     

    This is the first course in algebra and should be taken by those planning to attend a college or university.  It requires abstract thinking and includes topics dealing with rational and irrational numbers and mathematical structure.  The California Standards in Algebra I will be covered.  Sheltered instructional strategies are utilized.

     

    PRINCIPLES OF GEOMETRY

    10 Credits / Grades 10-12

    Prerequisites: Pass Algebra C/D (both semesters), or pass Algebra 1 (Spring semester)
    Teacher Approval Required 

    HS (c); CSU / UC (c) 

     

    This course develops the mathematics skills necessary for successful entry into Intermediate Algebra. The course content is similar to Geometry and satisfies the requirements of the California State Standards. Concepts are learned through hands-on explorations and students will have opportunities to apply these concepts to real-world applications. The content of this course deals with the geometry of two-dimensional and three-dimensional figures and the concept of deductive reasoning. The relations of figures of each other through similarities and congruencies are dealt with by examining obvious properties and deductively establishing others. The California Content Standards in geometry will be covered in this course.

     

     

     

    GEOMETRY

    10 Credits / Grades 9-12

    Prerequisites:  Algebra I, grade of C or better; or Algebra A/B/C/D, grade of C or better

    HS (c); CSU / UC (c)

     

    The content of this course deals with the geometry of two-dimensional and three-dimensional figures and the concept of deductive reasoning.  The relations of figures to

    each other through similarities and congruences are dealt with by examining obvious properties and deductively establishing others.  The California Content Standards in geometry will be covered in this course.

     

    SDAIE GEOMETRY

    10 Credits / Grades 9-12

    Prerequisites:  Algebra I, grade of C or better; or Algebra A/B/C/D, grade of C or better; CELDT Proficiency Level

    HS (c); CSU / UC (c)

     

    The content of this course deals with the geometry of two-dimensional figures and the concept of deductive reasoning.  The relations of figures to each other through similarities and congruences are dealt with by examining obvious properties and deductively establishing others.  The California Content Standards in geometry will be covered in this course.  Sheltered instructional strategies are utilized.

     

    HONORS GEOMETRY

    10 Credits / Grades 9-10

    Prerequisite:  Algebra I, grade and test average of A at high school and teacher recommendation; or grade of B or better at middle school and teacher recommendation

    HS (c); CSU / UC (c)

     

    This course includes the same content as geometry, but additional topics are studied such as logic, vectors, and locus.  All topics are approached with more mathematical rigor than the geometry course.  The California Content Standards in geometry will be covered in this course.

     

    INTERMEDIATE ALGEBRA

    10 Credits / Grades 11-12

    Prerequisite:    C ompletion of Algebra I or Algebra C/D with a grade of C or better and completion of Geometry with a grade of C or better

    HS (c); CSU / UC (c)

     

    This course is designed for students who do not intend to major in mathematics or science at the college / university level.  It does not meet the prerequisite for entry into Advanced Math / Trigonometry.  The course is similar in content to that of Algebra II, yet emphasizes the practical applications and necessary background skills for a successful level of achievement on college entrance math placement exams.

     

    ALGEBRA II

    10 Credits / Grades 10-12

    Prerequisite:  Geometry, grade of C or better

    HS (c); CSU / UC (c)

     

    This course curriculum includes the real number system through the complex number system and prepares students for trigonometry and higher mathematics courses. The California Content Standards in Algebra II will be covered.  This course meets the college Algebra II requirement.

     

    ALGEBRA II / TRIGONOMETRY

    10 Credits / Grades 9-11

    Prerequisite:  Geometry Honors, grade of B or better, and teacher recommendation

    HS (c); CSU / UC (c)

     

    Algebra II / Trigonometry is designed for the academically accelerated math student.  It combines the normal year course of Algebra II and the normal one-semester course of Trigonometry into a one-year course.  The California Content Standards in Algebra II will be covered.  This course meets the college requirements of both intermediate algebra and trigonometry.

     

    FINITE MATHEMATICS

    10 Credits / Grade 12

    Prerequisite:  Algebra II, grade of C or better

    HS (c); CSU / UC (c)

     

    This is a post-Algebra II course for students who desire an additional year of mathematics before, during, or after trigonometry or pre-calculus.  Topics covered will include probability and statistics, logic, linear algebra, and linear programming.

     

    ADVANCED MATH / TRIGONOMETRY

    10 Credits / Grades 11-12

    Prerequisite:  Algebra II, grade of B or better and minimum test average of 80% and teacher recommendation

    HS (c); CSU / UC (c)

     

    Advanced Math / Trigonometry is designed for the student who is college-bound.  It provides the necessary background for pre-calculus.  This course stresses the circular function and trigonometric function approach to trigonometry.  The student should be able to solve a variety of math science application problems with the learning provided in this course.

     

    PRE-CALCULUS

    10 Credits / Grades 10-12

    Prerequisite:  Algebra II/Trigonometry, grade of B or better, minimum test average of 85%, and teacher recommendation; or Advanced Math/Trigonometry, grade of A- or better and teacher recommendation

    HS (c); CSU / UC (c)

     

    This course is designed to prepare students for Calculus.  The content includes trigonometry, advanced algebra and functions, the study of limits, polar coordinates and complex numbers, introduction to the derivative, math induction, and sequences and series. 

     

    CALCULUS AB ADVANCED PLACEMENT

    10 Credits / Grades 11-12

    Prerequisite:  Pre-Calculus, grade C+ or better

    HS (c); CSU / UC (c)

     

    This course is the lower level calculus course, covering topics such as differentiation, integration, and applications of derivatives and integrals.  Properties of elementary functions, such as polynomial, rational, radical, trigonometric, logarithmic, and exponential, are reviewed and extended into applications involving calculus.  Students who enroll in a calculus course should have demonstrated mastery of algebra, geometry, coordinate geometry, and trigonometry, with four full years on mathematics preparation before calculus.  Advanced topics in algebra, trigonometry, analytic geometry, complex numbers, and elementary functions should be studied in the pre-calculus course.  Most colleges grant one quarter or one semester’s credit to students who successfully pass the Calculus AB Advanced Placement examination.  This course is designed to prepare students to take the Advanced Placement test in Calculus AB, and students enrolling in this course are expected to sit for the exam in May.

     

     

    CALCULUS BC ADVANCED PLACEMENT

    10 Credits / Grades 11-12

    Prerequisite:  Pre-Calculus, grade of B+ or better

    HS (c); CSU / UC (c)

     

    This is the upper level calculus course, covering topics in the AB course, such as differentiation, integration, and applications of derivatives and integrals.  Properties of elementary functions, such as polynomial, rational, radical, trigonometric, logarithmic, and exponential, are reviewed and extended into applications involving calculus, as well as infinite series and more advanced topics not covered in the AB course.  Students who enroll in a calculus course should have demonstrated mastery of algebra, geometry, coordinate geometry, and trigonometry, with four full years of mathematics preparation before calculus.  Advanced topics in algebra, trigonometry, analytic geometry, complex numbers, and elementary functions should be studied in the pre-calculus course.  Most colleges grant

    one full year’s credit to students who successfully pass the Calculus BC Advanced Placement examination.  This course is designed to prepare students to take the Advanced Placement test in Calculus BC, and students enrolling in this course are expected to sit for the exam in May.

     

    STATISTICS ADVANCED PLACEMENT

    10 Credits / Grades 11-12

    Prerequisite:  Grade of A in Algebra II or teacher recommendation; or Algebra II/Trig, grade of B or better; or Advanced Math/Trig, grade of B or better; or Finite Math, grade of B or better

    HS (c); CSU / UC (c)

     

    This course is designed to meet the needs of accelerated math students who wish to prepare for college statistics or the Statistics Advanced Placement examination.  Students will be introduced to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.  Students are exposed to four broad conceptual themes:  exploring data, planning a study, anticipating patterns, and statistical inference.  This course is designed to prepare students to take the Advanced Placement test in Statistics, and students enrolling in this course are expected to sit for the exam in May.