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Mathematics Courses

Applied Algebra I

Grade Level: 9

Length: YEAR

Class Fee: None

Prerequisite: By Assessment or Teacher Recommendation

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.

Algebra I

Grade Level: 9-11

Length: YEAR

Class Fee: None

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

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. 

NCAA, HEAR

Applied Geometry

Grade Level: 10-12

Length: YEAR

Class Fee: None

Prerequisite: Applied Algebra I or Algebra I

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.

Geometry

Grade Level: 9-12

Length: YEAR

Class Fee: None

Prerequisite: Algebra I

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. 

NCAA, HEAR

Applied Algebra II

Grade Level: 10-12

Length: YEAR

Class Fee: None

Prerequisite: Applied Algebra and Applied Geometry or equivalent 

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.

Algebra II

Grade Level: 9-12

Length: YEAR

Class Fee: None

Prerequisite: Algebra I and Geometry (or concurrent enrollment with Geometry) 

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, 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.

NCAA, HEAR

College Algebra

Grade Level: 11-12

Length: YEAR

Class Fee: None

Prerequisite: Algebra II or Applied Algebra II 

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. 

NCAA, HEAR

Personal Finance (Business Math)

Grade Level: 11-12

Length: Semester

Class Fee: None

Prerequisite: Algebra I or equivalent

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."

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