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Mathematics - Courses Offered  

Graduation Requirement
    All Students who graduate from Garces Memorial High School must successfully complete 3 years of college recognized courses with a minimum of Algebra 2 (P).  A 4th year is recommended.

MATH LAB
ALGEBRA I (P)
ACCELERATED ALGEBRA  GEOMETRY (P)
GEOMETRY (H)
ALGEBRA 2(P)
ALGEBRA  2(H)
ALGEBRA 2(G)
MATH ANALYSIS(P)
MATH ANALYSIS(H)
CALCULUS(P) AP CALCULUS

STATISTICS
 

 












Course Description and Requirements/Prerequisites

ALGEBRA I (P)
This course, taken over two semesters, satisfies the Algebra requirement at Garces Memorial High School and that of the University of California. It includes basic set theory, real number systems, linear equations and inequalities, polynomials, factors, functions and graphs.
PREREQUISITES FOR ENROLLMENT:
    Scores between 60 – 90 % on the placement exam, or takes Introduction to Algebra 1 in summer school and based on the grade and recommendation of the instructor is placed in Algebra 1(CP), or Scores below a 60% on the Algebra Challenge Exam in May.

ACCELERATED ALGEBRA (P)

PREREQUISITES FOR ENROLLMENT:
    Scores at least a 90% on the placement exam, or scores between an 60 – 75% on the Algebra Challenge Exam in May, or takes Accelerated Algebra 1 in summer school and scores a 60 – 75% on the Algebra Challenge Exam which is given on the last day of summer school.

GEOMETRY (P)
    This is a one-year course offered to those students who satisfactorily complete algebra.  Using geometry as a model, this course stresses the development and understanding of logical methods of thinking.  (This course fulfills the one-year geometry requirement of the University of California).

GEOMETRY (H)
    Honors Geometry consists of a study of the concepts of space geometry, plane geometry, and coordinate geometry. This course fulfills the one-year geometry requirement of the University of California.
PREREQUISITES FOR ENROLLMENT:

ALGEBRA 2(P)
    Algebra II is a one-year course offered to students as an extension of Algebra I and Geometry.  It is a more complex study of Algebra designed to prepare the student for Math Analysis and Calculus, as well as to develop the skills needed for problem solving in Chemistry and Physics.  Algebra II is required for four year college/university candidates.

ALGEBRA  2(H)
    Algebra 2 (H) is a two-semester honors level course that will give students a solid foundation for Math Analysis and, ultimately, Calculus.  It is an integral part of the honors mathematics sequence at Garces Memorial High School, a program that prepares students for future study, and challenges them to excel in their studies.  Students will be expected to understand theory, be proficient in technique, and be able to apply this knowledge to various fields.  Students who successfully complete this course choose two paths--some students move on to a full year of Honors Math Analysis, while others enroll in a summer session of Math Analysis and then move onto Calculus in the fall semester.
PREREQUISITES FOR ENROLLMENT:

ALGEBRA 2(G)
    Algebra 2(G) is a one-year course offered to students as an extension of Algebra I and Geometry.  It is recommended for students who have passed both Algebra 1 and Geometry, but who have had difficulty with those courses.  Students will learn the same material as Algebra 2 but at a slower pace.  The students are given basic problems from the book to solve, whereas, the college prep Algebra 2 and Honors are given more challenging equations to solve.

MATH ANALYSIS(P)
    Math Analysis is a two-semester college preparatory course that will give students a solid foundation for Calculus. It is an integral part of the mathematics sequence at Garces Memorial High School, a program that prepares students for future study, and for everyday mathematical usage. Having completed this course, the students will be ready to continue in mathematical studies. This course may or may not be an elective, depending on how the student chooses to fulfill the mathematics requirements.
PREREQUISITES FOR ENROLLMENT: To enroll in this course, students must have met the following requirements:
    
1) Successful completion of Algebra II with a grade of B- or better.
    2) Recommendation of Algebra 2 Instructor.
    3) Permission of Math Analysis Instructor.
    4) Permission of Math Department Chair.

MATH ANALYSIS(H)
    Honors Math Analysis is a two-semester honors level course that will give students a solid foundation for Calculus. It is an integral part of the honors mathematics sequence at Garces Memorial High School, a program that prepares students for future study, and challenges them to excel in their studies. Students will be expected to understand theory, be proficient in technique, and be able to apply this knowledge to various fields. Having completed this course, the students will be ready to continue in advanced mathematical studies. This course may or may not be an elective, depending on how the student chooses to fulfill the mathematics requirements.
PREREQUISITES FOR ENROLLMENT: To enroll in this course, students must have met the following requirements:
    
1) Successful completion of Honors Algebra 2 with a grade of B or better, or successful completion of Algebra 2 with a grade of A.
    2) Recommendation of Algebra 2 Instructor.
    3) Permission of Honors Math Analysis Instructor.
    4) Permission of Math Department Chair.
    5) Formal written application and parental consent.
    6) To qualify for the second semester, a student must be doing B work.

CALCULUS(P)
Calculus is a two-semester course. This course is designed to be a review of Precalculus with an introduction to calculus. This course will also emphasize the development of the technique necessary for students to continue in mathematics, sciences or engineering. This course may or may not be an elective, depending on how the student chooses to fulfill the mathematics requirements.
PREREQUISITES FOR ENROLLMENT: To enroll in this course, students must have met the following requirements:
    
1) Successful Completion of Math Analysis with a grade of C+ or better.
    2) Recommendation of Math Analysis Instructor.
    3) Permission of Calculus Instructor / Math Department Chair.
    4) Formal written application and parental consent.

ADVANCED PLACEMENT CALCULUS
    AP Calculus is a two-semester advanced placement course that will cover the entire "AP" syllabus put out by the College Board. This course will attempt to balance theory, technique and applications of Calculus. Students will be expected to master definitions of the concepts and the proofs of the main Calculus theorems. This course will also emphasize the development of the technique necessary for students to continue in mathematics, sciences or engineering. This course may or may not be an elective, depending on how the student chooses to fulfill the mathematics requirements.
PREREQUISITES FOR ENROLLMENT: To enroll in this course, students must have met the following requirements:
    
1) Successful Completion of Honors Math Analysis with a grade of B or better.
    2) Recommendation of Honors Math Analysis Instructor.
    3) Permission of Calculus Instructor / Math Department Chair.
    4) Formal written application and parental consent.
    5) To qualify for the second semester, a student must be doing B work.

Statistics
    
Statistics is a two-semester math course.  This course will enable students to gain an understanding of statistics, an insight to research methods, and apply statistics to life situations.  This discipline is an introduction to the study of probability, interpretation of data, and fundamental statistical problem solving. Mastery of this academic content will provide students with a solid foundation in statistics.