Mathematics Courses

  • Advanced Placement Statistics

    This course follows College Board AP guidelines. This includes datacollection planning and modeling; use of probability theory to anticipate thedistribution of data in a given model; and analysis of data using graphical and numerical techniques to study patterns and departures from patterns.

    • Grades:9-12
    • Units:10
    • UC Requirements:Fulfills Section C Requirement
    • CSU Requirements:Fulfills Math Requirement
    • Prerequisites:A grade of "C" or better in both semesters of Algebra II or a "C" or better in both semesters of Trigonometry/ Analysis. A graphing calculator with advanced statistical functions (TI-83 or above) is strongly recommended.
  • Algebra I

    This course will help students understand the basic structure of algebra, acquire facility in applying abstract concepts, and perceive the role of deductive reasoning in algebra.Topics to be studied include symbols and sets, variable expressions, equations, inequalities, formulas, operations with real numbers, polynomials and factoring, solution of fractional and quadratic equations, field properties, quadratic formula, and graphing. Verbal problems are stressed.Successful Completion: Meets one year of the mathematics graduation requirement and prepares a student for Geometry.

    • Grades:9-12
    • Units:10
    • UC Requirements: Fulfills Section C Requiremen
    • CSU Requirements: Fulfills Math Requirement
    • Prerequisites: Grade of "C" or better in eighth grade mathematics and/or recommendation of teacher. Appropriate scores on qualifying tests required for non-Carmel Unified School District students.
  • Algebra I Shadow Class

    his course is intended to assist students in successful completion of Algebra I and must be taken in conjunction with Algebra I. The grade issued for this class is separate from the grade issued for Algebra I. Topics to be studied include review of arithmetic, plus algebra lessons as needed to reinforce what is concurrently taught in the student's Algebra I course.Successful Completion: Meets one year of the elective graduation requirement.

    • Grades:9-12
    • Units:10
    • Prerequisites: This course may be taken only through teacher recommendation or by agreement between parent and counselor.
  • Algebra II

    This is a college preparatory course which will give the student a background for more advanced mathematics and science courses. Algebra II is based on a comprehensive and sophisticated approach to the material covered in first year algebra, up to and including quadratic equations. In addition, material beyond the scope of first year algebra is studied in depth, including quadratic functions and systems, conic sections, exponential functions and logarithms, imaginary and complex numbers, progressions and binomial expansions, polynomial functions, permutations, combinations, probability, binomial theorem, and arithmetic/geometric sequences.

    • Grades:9-12
    • Units:10
    • UC Requirements: Fulfills Section C Requirement
    • CSU Requirements: Fulfills Math Requirement
    • Prerequisites: Grades of at least “C” in all four semesters of Geometry and Algebra I. Hand-held scientific calculator required. Graphing calculator recommended.
  • Geometry

    The course covers such topics as deductive, inductive and indirect reasoning, triangles, quadrilaterals, other basic geometric figures, parallel and perpendicular lines, polygons, circles, geometric constructions, arcs, angles, areas, volumes, coordinate geometry, and trigonometry.

    • Grades:9-12
    • Units:10
    • UC Requirements:Fulfills Section C Requirement CSU: Fulfills Math Requirement
    • CSU Requirements:Fulfills Math Requirement
    • Prerequisites: At least a "C" grade in eighth grade Honors Algebra I, or a "B" grade in eighth grade Algebra I, or a "C" grade in Algebra I at Carmel High School. A hand-held scientific calculator is required.
  • High School Math Review

    This course is intended for students who need basic math and algebra review and/or help with the High School Exit Exam. The course will include review of arithmetic skills, problem-solving techniques, and a review of Algebra I. This course does not fulfill the State’s requirement that all students take an Algebra I course. Students should not be enrolled in this class until they have first attempted Algebra CD or Algebra I.

    • Grades:10-12
    • Units:10
    • Prerequisites: Recommendation of instructor.
  • Introduction To Algebra

    The course is intended to prepare students for Algebra I. Topics will include a review of operations with whole numbers, decimals and fractions, percentages, absolute values, scientific notation, integers, factors and multiples, exponents, ratios, and proportions. The course will continue with review of geometric topics such as the Pythagorean Theorem; perimeter, area, and volume; problem-solving strategies; and finally, basic data analysis, including scatterplots and means/ medians/modes. Finally, the class will introduce basic algebraic concepts such as simplifying expressions, one and two-step linear equations, graphing lines, basic parabolas, and cubics in the Cartesian plane.

    • Grades:9-11
    • Units:: 10
    • UC Requirements: Content: The course is intended to prepare students for Algebra I. Topics will include a review of operations with whole numbers, decimals and fractions, percentages, absolute values, scientific notation, integers, factors and multiples, exponents, ratios, and proportions. The course will continue with review of geometric topics such as the Pythagorean Theorem; perimeter, area, and volume; problem-solving strategies; and finally, basic data analysis, including scatterplots and means/ medians/modes. Finally, the class will introduce basic algebraic concepts such as simplifying expressions, one and two-step linear equations, graphing lines, basic parabolas, and cubics in the Cartesian plane.
    • Prerequisites:Recommendation of instructor.
  • Math Instructional Aide

    Selected students will assist in lower-level math classes. Specifically, these students will be taught to perform many of the functions of a math teacher: math aides will act as in-class tutors for lower-level math students, assisting where possible with classroom activities and assisting with checking student work. Students will be expected to perform tasks which are more complex than those required of a normal teaching assistant.

    • Grades:11-12
    • Units:5
    • Prerequisites:Enrollment by instructor permission only; student must have passed both semesters of Algebra II with a “C” grade or better. Student must have good knowledge of math, personal responsibility and dependability, ability to work independently, and willingness to help peers.
  • Trigonometry And Math Analysis

    This is a college preparatory course aimed at the education of the student in the nature of mathematics as a logical system. The subject matter includes sets, algebra of numbers as a logical system, inequalities, functions (circular, linear, quadratic and higher degree, polynomial, inverse exponential, and logarithmic), determinates, permutations and combinations, mathematical induction, complex numbers, complex coordinates, and parametric equations with practical applications.

    • Grades:9-12
    • Units:10
    • UC Requirements:Fulfills Section C Requirement Content: T Successful Completion: Meets one year of the mathematics graduation requirement and prepares a student for Calculus. Serves as a prerequisite for many science and engineering courses.
    • CSU Requirements:Fulfills Math Requirement
    • Prerequisites:Grades of at least "C" in all four semesters of Geometry and Algebra II. Hand held graphing calculator strongly recommended (TI-83 preferred).
  • Activo Inc

    Mathematics Staff