Courses Offered

Mathematics

Vision

At Garces, we are aware of the ever new and expanding disciplines in science and business. The Garces Mathematics Department feels a strong foundation in mathematics is essential to meeting the challenges of a technology-oriented world. The study of mathematics will emphasize reasoning, logic, accuracy, reliability, and the utilization of technology. This develops the intellectual powers of the Garces student, not only for mathematics, but also for other fields.

Goals

The Garces Memorial Math Department recognizes what an exciting time this is to be teaching mathematics. Changes in technology, including computers and calculators, have altered the way in which mathematics is being taught. The department strives to keep current with new trends in teaching without forsaking the fundamentals upon which all mathematical knowledge and problem solving is based. In the more advanced courses students are required to be well-versed in the use of graphing technology and this technology is being presented to students at all levels.

The Math Department offers a college preparatory and an Honors/Advanced Placement sequence for students. More importantly, however, is the individual attention and help provided students. Teachers are available at various times for extra help and students are able to get the extra assistance that they may need and deserve.

Graduation Requirements

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. 

 Algebra 1 Challenge Exam Review

MATHEMATICS COURSE CATALOG
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.

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.

PROJECT LEAD THE WAY CLASSES
INTRODUCTION TO DESIGN

Students dig deep into the engineering design process, applying math, science, and engineering standards to hands-on projects. They work both individually and in teams to design solutions to a variety of problems using 3-D modeling software, and use an engineering notebook to document their work.

PRINCIPLES OF ENGINEERING

Through problems that engage and challenge, students explore a broad range of engineering topics, including mechanisms, the strength of structures and materials, and automation. Students develop skills in problem solving, research, and design while learning strategies for design process documentation, collaboration, and presentation.

CIVIL ENGINEERING AND ARCHITECTURE

Students learn important aspects of building and site design and development. They apply math, science, and standard engineering practices to design both residential and commercial projects and document their work using 3-D architectural design software.

INTRODUCTION TO AGRICULTURE

This course is an introductory course designed to expose students to different aspects of the agriculture industry on a local and state level. Students will gain knowledge in the history of agriculture, animal science, plant science and career opportunities.

INTERNSHIP

This one semester course consists of participation in an internship experience. This course provides practical, hands-on training for students interested in pursuing a specific major or pathway.

Courses by Department