Science Courses
2021-2022 Course Catalog
Advanced Mathematics Courses
Basic Statistics
Grade Level: 11-12
Length: Semester
Class Fee: None
Prerequisite: Algebra II or Applied Algebra II
This course is a one-semester course that explores the foundations of statistics and probability. It covers topics such as: experimental design data collection, displaying and analyzing distributions, correlation, regression, and probability. A TI-83/84 graphing calculator is highly recommended for this course.
NCAA
Pre-Calculus
Grade Level: 11-11
Length: YEAR
Class Fee: None
Prerequisite: Algebra II or College Algebra
In Pre-Calculus, students will have the opportunity to study advanced mathematical concepts and methods; explore topics in functions, sequences, and series; explore trigonometric functions (with graphs and inverse functions), identities and equations, solutions of triangles, complex numbers; and other topics. Students who successfully complete this course will continue on to AP Calculus if they are pursuing a college major requiring Calculus as the gatekeeper course. Students may choose to take this course for college credit through concurrent enrollment.
TI-83/84 graphing calculator is highly recommended for this course.
NCAA, HEAR
Calculus I
Grade Level: 11-12
Length: YEAR
Class Fee: None
Prerequisite: Pre-Calculus
This course is an introduction to the calculus concepts of limits, derivatives, and the integral, with an emphasis on their application to the sciences and other STEM pathways. The course is meant to prepare students for success when taking calculus at the college level, or for the student interested in advancing his/her mathematical knowledge.
NCAA, HEAR
VRHS AP Expectations:
Since AP courses are considered college-level courses, students and parents will sign a contract similar to the concurrent enrollment contract, prior to registering for any AP course. AP courses are YEAR-long courses. Students are expected to be in the class for the entire year. For more information about VRHS AP Course policy and procedures, click here.
The College Board's Advanced Placement (AP) program enables willing and academically prepared students to pursue college-level studies while in high school. AP students can earn college credit and potentially skip introductory college courses by testing well on AP exams (requirements vary by learning institution), saving college tuition costs. Students and parents must understand the time commitment, content, and rigor of AP courses are significantly higher than those found in traditional high school level courses. Students need the following skills to be successful in an AP course: the ability to read college-level text, demonstrate high motivation, academic maturity, ability to organize, time management, and self-advocacy. Students are expected to take the AP exam in May.
AP Calculus A/B
Grade Level: 11-12
Length: YEAR
Class Fee: $96 (AP exam fee)
Prerequisite: Pre-Calculus
Application Link: Click here
AP Calculus AB provides students with an intuitive understanding of the concepts of calculus and experience with its methods and applications. These courses introduce calculus and include the following topics: elementary functions; properties of functions and their graphs; limits and continuity; differential calculus (including definition of the derivative, derivative formulas, theorems about derivatives, geometric applications, optimization problems, and rate-of-change problems); and integral calculus (including anti-derivatives and the definite integral).
TI-83/84 graphing calculator is highly recommended for this course.
Students should expect to spend at least 2-3 hours per week on work outside of this class.
NCAA, HEAR
AP Calculus B/C
Grade Level: 11-12
Length: YEAR
Class Fee: $96 (AP exam fee)
Prerequisite: Pre-Calculus
Application Link: Click here
AP Calculus BC builds upon algebraic and geometric principles covered in Pre-Calculus and AP Calculus AB. This course covers all of the topics in AP Calculus A/B with further investigation into vectors, parametric and polar equations, sequences and series. At the conclusion of this course, students will be prepared for and expected to take the AP Calculus BC exam for potential college credit.
TI-83/84 graphing calculator is highly recommended for this course.
Students should expect to spend at least 2-3 hours per week on work outside of this class.
NCAA, HEAR
AP Statistics
Grade Level: 11-12
Length: YEAR
Class Fee: $96 (AP exam fee)
Prerequisite: Pre-Calculus
Application Link: Click here
AP Statistics is equivalent to a one-semester, introductory non-calculus-based, college course in statistics. Students who successfully complete the AP Exam may receive college credit. Course topics include exploratory [data] analysis, planning and conducting a study, probability, and statistical inference. Students with strong writing skills will do well in this course due to the level of technical writing involved.
TI-83/84 graphing calculator is highly recommended for this course.
Students should expect to spend at least 2-3 hours per week on work outside of this class.
NCAA, HEAR
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