Course Information:

• Grade Level: 9

• Length: YEAR

• Class Fee: None

• Prerequisite: By assessment or teacher recommendation

Course Description: Click here to watch the course video

Applied Algebra I is for students who need to review foundational arithmetic and algebraic concepts necessary to be successful in Algebra I. Topics include: fractions, decimals, operations with integers, order of operations, distributive properties, factoring out the Greatest Common Factor, solving for variables, ratios, inequalities, and linear functions. Students who successfully complete this course will move on to Algebra I or Applied Geometry, depending performance level in this class and career focus.

Course Information:

• Grade Level: 9-11

• Length: YEAR

• Class Fee: None

• Prerequisite: Pre-Algebra, 8th grade math, or Applied Algebra I

• NCAA, HEAR

Course Description: Click here to watch the course video

Algebra I is the introduction of variables, constants, expressions, and equations which are foundational for all higher level math courses.  Topics covered are: functions (linear, quadratic, exponential), solving equations and systems of equations, factoring, and graphing functions. Students who successfully complete Algebra I will continue on to Geometry or Applied Geometry depending upon performance level in the class and career focus. 

Course Information:

• Grade Level: 10-12

• Length: YEAR

• Class Fee: None

• Prerequisite: Applied Algebra I or Algebra I

Course Description: Click here to watch the course video

Applied Geometry reinforces first semester Algebra I skills by applying them to geometric concepts. Topics include: basic geometry symbols and definitions, transformations, area, perimeter, volume, angle relationships, geometric construction, 2D and 3D figure exploration, linear equations, and right triangle properties. Several projects will be used to demonstrate application of concepts in various career fields.

Course Information:

• Grade Level: 9-12

• Length: YEAR

• Class Fee: None

• Prerequisite: Algebra I

• NCAA, HEAR

Course Description: Click here to watch the course video

Geometry focuses on enhancing students' problem solving capabilities and algebra skills while introducing geometric concepts including: rigid transformations angle relationships, similarity and congruence, proof writing, trigonometry, probability, volume, surface area, and properties of circles. Students who successfully complete Geometry will continue on to Algebra II or Applied Algebra II, depending upon performance in this class and career focus. 

Course Information:

• Grade Level: 10-12

• Length: YEAR

• Class Fee: None

• Prerequisite: Applied Algebra and Applied Geometry (or equivalent)

Course Description: Click here to watch the course video

This course is a blended applied math course co-taught with two math teachers and UCCS teaching assistants. Students will meet in the Multipurpose Room, during in-person learning and will be grouped into three groups where they will rotate through three stations each day. Stations will include a teacher-directed core-content component, a problem solving component, and an independent practice component. The course covers material designed for career technical or general students who need to study particular mathematical topics. Topics will include problem solving, algebra, and SAT and Accuplacer skills. These are presented at an introductory level and the emphasis is on mathematical applications, essential skills, and problem solving skills.

Course Information:

• Grade Level: 9-12

• Length: YEAR

• Class Fee: None

• Prerequisite: Algebra I and Geometry (or dual enrollment with Geometry) 

• NCAA, HEAR

Course Description: Click here to watch the course video

Algebra II is the study of various functions and their properties by investigation and application. Topics covered are: linear, quadratic, exponential, absolute value, square root, cubic, cube root, hyperbolic, simple rational, logarithmic, and other functions; transformations of functions, systems of nonlinear equations and inequalities, equivalent expressions, operations with rational expressions, polynomials, complex numbers and inverses. Students who successfully complete Algebra II will continue on to College Algebra, Pre-Calculus, AP Statistics, Basic Statistics, Personal Finance, or concurrent enrollment math courses after Algebra II.  Placement will be based on student achievement in this course and career focus.  

TI-83/84 graphing calculator is highly recommended for this course.

Course Information:

• Grade Level: 9-12

• Length: Year

• Class Fee: None

• Prerequisite: Algebra I and Geometry (or dual enrollment with Geometry); teacher approval required

• NCAA, HEAR

Course Description: Course video is currently unavailable

Honors Algebra 2 is the study of various functions and their properties by investigation and application. Topics covered are: equations and inequalities, linear functions and systems, parent functions and transformations, quadratics and complex numbers, polynomial functions, radical functions, exponential and logarithmic functions, rational functions, conic sections, sequences and series, probability and statistics, and trigonometry. 

Course Information:

• Grade Level: 11-12

• Length: YEAR

• Class Fee: None

• Prerequisite: Algebra II or Applied Algebra II 

• NCAA, HEAR

Course Description: Click here to watch the course video

College Algebra provides a step between Algebra II and Pre-Calculus, if needed.  Students will begin the course with a brief review of algebra, equations and inequalities, functions and their graphs.  In addition, students will: explore exponential and logarithmic functions, linear systems, and graphing of the conic sections. Students who successfully complete College Algebra will continue on to Pre-Calculus, Calculus, or Statistics depending upon performance level and career focus. Students who are interested in pursuing a major requiring College Algebra as the gatekeeper course may choose to take this course for college credit through concurrent enrollment.  

TI-83/84 graphing calculator is highly recommended for this course. 

Course Information:

• Grade Level: 11-12

• Length: SEMESTER

• Class Fee: None

• Prerequisite: Algebra I or equivalent

Course Description: Click here to watch the course video

This one-semester course is designed to meet students where they are in life, so they can start making good money management decisions from day one. Some topics of study include: understanding car insurance, buying a car, learning the difference between simple and compound interest, comparing credit cards, budgeting, checking and savings accounts, and learning good spending habits. This will all lead to a project at the end of the course - "How to move out of your parents' house." Put simply, Foundations is designed to make sure students are ready for life after high school, a.k.a "Adulting 101."

Course Information:

• Grade Level: 11-12

• Length: SEMESTER

• Class Fee: None

• Prerequisite: Algebra II or Applied Algebra II

• NCAA

Course Description; Click here to watch the course video

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. 

Course Information:

• Grade Level: 11-12

• Length: YEAR

• Class Fee: None

• Prerequisite: Algebra II or College Algebra

• NCAA, HEAR

Course Description: Click here to watch the course video

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.

Course Information:

• Grade Level: 11-12

• Length: YEAR

• Class Fee: None

• Prerequisite: Algebra II or College Algebra

• NCAA, HEAR

Course Description: Link to application

AP Precalculus prepares students for college-level mathematics and science courses, as well as provides an excellent foundation for calculus. The framework delineates content and skills common to college precalculus courses that are foundational for careers in mathematics, physics, biology, health science, social science, and data science. In this course, students will study polynomial, rational, exponential, logarithmic, trigonometric, and polar functions, as well as functions involving parameters, vectors, and matrices. Students study each function type through their graphical, numerical, verbal, and analytical representations and their applications in a variety of contexts. Students can earn college credit by passing the AP exam in May with a 3 or higher.

TI-83/84 graphing calculator is highly recommended for this course.

Course Information:

• Grade Level: 11-12

• Length: YEAR

• Class Fee: $96 (includes AP exam fee)

• Prerequisite: Pre-Calculus; teacher approval required

• NCAA, HEAR

Course Description: Click here to watch the course video

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.

Course Information:

• Grade Level: 11-12

• Length: YEAR

• Class Fee: $96 (includes AP exam fee)

• Prerequisite: Pre-Calculus; teacher approval 

• NCAA, HEAR

Course Description: Click here to watch the course video

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.

Course Information:

• Grade Level: 11-12

• Length: YEAR

• Class Fee: $96 (includes AP exam fee)

• Prerequisite: Algebra II or equivalent (or concurrently enrolled in equivalent course)

• NCAA, HEAR

Course Description: Click here to watch the course video

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.

Course Information:

• Grade Level: 9-12

• Length: Semester

• Class Fee: None

• Prerequisite: 

  • Approved VRHS CE Application and Dean of CE Approval Application and details can be found at bit.ly/vrconcurrent.

  • Algebra II passed with a C or higher and one of the following: Next Gen Accuplacer AAF score of 245, SAT 590, EdReady 90

• NCAA, HEAR

Course Description: Click here to watch the course video

Includes a brief review of intermediate algebra, equations, and inequalities, functions and their graphs, exponential and logarithmic functions, linear and non-linear systems, selection of topics from among graphing of the conic sections, introduction to sequences and series, permutations and combinations, the binomial theorem, and theory of equations. A graphing calculator is required.

This class is available on the VRHS campus. Passing this class with a C or higher will give you 1 high school Math credit that is weighted on a 5.0 scale and 4 college credits. This class is a Guaranteed Transfer GT-MA class in Colorado and may transfer to out-of-state schools. 

Course Information:

• Grade Level: 9-12

• Length: Semester

• Class Fee: None

• Prerequisite: 

  • Approved VRHS CE Application and Dean of CE Approval Application and details can be found at bit.ly/vrconcurrent.

  • Geometry passed with a C or higher and one of the following: Next Gen Accuplacer Arithmetic score of 265+, SAT 500, EdReady 90

• NCAA, HEAR

Course Description:

Covers material designed for career and technical students who need to study particular mathematical topics. Topics include measurement, algebra, geometry, statistics, and graphs. These are presented at an introductory level and the emphasis is on applications.

This class is available on the VRHS campus. Passing this class with a C or higher will give you 1 high school Math credit that is weighted on a 5.0 scale and 4 college credits.