Mathematics
Three years of mathematics (30 credits) are required to meet graduation requirements and both semesters of Algebra 1 must be completed with a D or better to earn a high school diploma. Three years of mathematics with C grades or better are required to be eligible to apply to a CSU; four years are recommended to apply to a UC.
Algebra 1 10401 (Required for graduation)
1 year course – 5 math credits per semester
Open to Grades: 9–10; if not passed by end of 10th grade, student will need to attend summer school
UC A-G Certification: Meets the UC a-g [c] Mathematics requirement with a C or better grade
NCAA Approved Core Course: Mathematics
Description: A full year course devoted to the development of algebraic skills as problem-solving tools and as the foundation for geometry and other college preparatory courses and entrance exams. Emphasis is on the development and recognition of problem-solving paradigms, use of calculator technology, logical reasoning, and the consistent application of formal algebraic techniques integrated into a variety of interdisciplinary, “real-world” contexts.
Algebra 2 10402
1 year course – 5 math credits per semester
Open to Grades: 9-12
Prerequisites: Grade of D or better in Geometry; 9th grade placement acceptance into class is based on middle school grades, test scores, and/or teacher recommendations
UC A-G Certification: Meets the UC a-g [c] Mathematics requirement with a C or better grade
NCAA Approved Core Course: Mathematics
Description: This discipline complements and expands the mathematical content and concepts of Algebra 1 and Geometry. Students who master Algebra 2 will gain experience with algebraic solutions of problems in various content areas, including
the solution of systems of quadratic equations, logarithmic and exponential functions, the binomial theorem, and the complex number system. Algebra 2 will be presented in accordance with the California Standards. Students will be prepared for the SAT; college placement tests; and mathematical courses involving Trigonometry.
Calculus AB AP 10420
1 year course – 5 math credits per semester
Open to Grades: 10-12
Prerequisites: Grade of B in Geo / Trig, Trig / Pre-Calc. or equivalent highly recommended
UC A-G Certification: Meets the UC a-g [c] Mathematics requirement with a C or better grade
NCAA Approved Core Course: Mathematics
Description: A rigorous course designed to meet requirements of college bound math and science oriented students. Student must have a strong background in Algebra 2, Geometry, and Trigonometry/Pre-Calculus. Topics covered in the course include limits and continuity, techniques and applications of differentiation, and techniques and applications of integration. Emphasis will be placed on passing the AP Exam in May, which will enable the student to earn college credit. A graphing calculator is required for this course as per the College Board.
Calculus BC AP 10421
1 year course – 5 math credits per semester
Open to Grades: 11-12 when offered
Prerequisites: Grade of C or better in Calculus AB AP or equivalent
UC A-G Certification: Meets the UC a-g [c] Mathematics requirement with a C or better grade
Description: This is a college-level course in differential and integral calculus, equivalent to the first two semesters of calculus at most universities. Topics include an introduction to limits and continuity, integrals and their applications, an
introduction to differential equations using slope fields and Euler’s method, Taylor polynomials and series, and calculus using parametric, vector, and polar equations. There is an emphasis on conceptual understanding and working with functions represented graphically, numerically, analytically, and verbally. The TI-83 graphing calculator is used extensively. This course will prepare the student for the AP Calculus BC exam.
Geometry 10409
1 year course – 5 math credits per semester
Open to Grades: 9-12
Prerequisites: Grade of D or better in Algebra 1
UC A-G Certification: Meets the UC a-g [c] Mathematics requirement with a C or better grade
NCAA Approved Core Course: Mathematics
Description: This course is a formal development of the geometric skills and concepts necessary for students who will take Algebra 2 and/or other college preparatory math courses. The course closely integrates algebra with fundamental
geometric concepts: logical proof, properties of geometric objects (points, lines, planes, angles, circles, triangles, polygons, etc.), geometric measurement (perimeter, area, volume, etc.), among others.
Geometry / Trigonometry 10439
1 year course – 5 math credits per semester
Open to Grades: 10-12
Prerequisites: Grade of D or better in Algebra 1
UC A-G Certification: Meets the UC a-g [c] Mathematics requirement with a C or better grade
NCAA Approved Core Course: Mathematics
Description: This course covers all of the essential topics of Geometry and Trigonometry / Pre-Calculus in an advanced and accelerated manner. This course continues the development of mathematics introduced in Algebra 1 and Algebra 2.
Geometric concepts are introduced early and receive attention for much of the year. A heavy emphasis is placed on trigonometry: trigonometric functions, their inverses, and graphs, along with applications. Practice in the fundamental skills of algebra, geometry, and trigonometry is provided while additional topics are introduced and practiced. Problem solving is an important part of this course. This course covers the essential California Geometry and all of the California Trigonometry Standards.
Intro to Probability and Statistics 10446
1 year course – 5 math credits per semester
Open to Grade: 12
Prerequisites: Grade of D or better in Algebra 1
NCAA Approved Core Course: Mathematics
Description: Introduction to Probability and Statistics is an introductory course to the tools of statistics. This basic course in statistics is to introduce students to statistical ideas and their impact on everyday life and future fields of study. Students are exposed to four broad conceptual themes: Producing Data, Organizing Data, Chance and Inference.
Senior Mathematics Acceleration and Preparation 10461
1 year course – 5 math credits per semester
Open to Grade: 12 when offered
Prerequisites: Grade of D or better in Algebra 2
Description: Foundation concepts for Pre-Algebra, Algebra I and II will include: basic understandings of number operations and quantitative reasoning, patterns, relationships, algebraic thinking, symbolic reasoning, functions, equations and their relationships, relationship between algebra and geometry, and underlying mathematical processes. Students will acquire and demonstrate knowledge of the concepts, definitions, properties, and develop the computational strategies that are required to meet the California State Standards for each of these courses. This course’s content intention is to closely resemble the Course Outline Records of Antelope Valley College remedial courses: Math 65, 70 and 102.
It is the goal of this course to have each student achieve earn a 70% in both the class and on the final for each class and be able to enter any AVC course beyond Math 102. This is a 1 year course and it is expected that in order to receive the 4 AVC math credits the student be enrolled for the entire year.
Statistics AP 10418
1 year course – 5 math credits per semester
Open to Grades: 11-12
Prerequisites: Grade of C or better in Algebra 2 or equivalent
UC A-G Certification: Meets the UC a-g [c] Mathematics requirement with a C or better grade
NCAA Approved Core Course: Mathematics
Description: The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes:
1. Exploring Data: Describing patterns and departures from patterns
2. Sampling and Experimentation: Planning and conducting a study
3. Anticipating Patterns: Exploring random phenomena using probability and simulation
4. Statistical Inference: Estimating population parameters and testing hypotheses
Students who successfully complete the course and exam may receive credit, advanced placement or both for a one-semester introductory college statistics course. Emphasis is placed on taking and passing the AP Exam in the spring. Students will need a graphing calculator as per the College Board. This course takes place over one school year.
Trigonometry/Pre-Calculus 10413
1 year course – 5 math credits per semester
Open to Grades: 10-12
Prerequisites: Grade of C or better in Algebra 2 or equivalent
UC A-G Certification: Meets the UC a-g [c] Mathematics requirement with a C or better grade
NCAA Approved Core Course: Mathematics
Description: A study of periodic functions, circular functions, graphs, identities, polar coordination, complex numbers, matrices, and selected topics in analytic geometry for preparation for calculus. This course is needed for college majors in the fields of science, engineering, and mathematics and is a prerequisite for the study of calculus. Trigonometry/ Pre-Calculus will be presented in accordance with the California Standards. Students will be prepared for the SAT, college placement tests, and the SAT 9.