Where Excellence is Expected

Fort Collins

High School

Where Excellence is Expected

Where Excellence is Expected

Mathematics Course Descriptions

Pre-Algebra: 5 credits – grade 9 – Mathematics – prerequisite: teacher recommendation

Pre Algebra is a semester-long mathematics course, designed to solidify a students’ understanding of arithmetic and to provide a foundation for the key concepts taught in Algebra I.  Upon successful completion, students will progress to Algebra 1. Students cannot self-select this class.

 

6230 | Algebra 1: 5 credits/semester – grade 9, 10, 11, 12 – Mathematics – prerequisite: Completion of Connected Math 3 or Pre-Algebra

The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. The critical areas, called units, deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions. The Mathematical Practice Standards apply throughout this course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

 

6240 | Geometry: 5 credits/semester – grade 9, 10, 11, 12 – Mathematics – prerequisite: recommended ‘C’ or higher in Algebra 1

The fundamental purpose of the course in Geometry is to formalize and extend students’ geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. The Mathematical Practice Standards apply throughout this course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

 

6146 | Data Analysis and Probability: 5 credits – grade 11, 12 – Mathematics – prerequisite: Geometry

Data Analysis & Probability is a semester long course centered on state standards related to statistics and probability. The course is designed for students with an interest in this area that are not planning on taking the AP Statistics course. The course explores data by describing patterns and departures from patterns as well as sampling.

 

6246 | Discrete Mathematics: 5 credits – grade 11, 12 – Mathematics – prerequisite: Geometry

Discrete Mathematics explores countable systems to make conclusions, decisions, or predictions. In contrast to continuous mathematics (calculus), discrete mathematics concentrates on the study of distinct objects and finite systems. Topics explored in Discrete Mathematics fall into four main categories: counting techniques, graph theory, iteration and recursion, and algorithmic problem solving and decision making.

 

6226 | Algebraic Concepts: 5 credits – grade 10, 11, 12 – Mathematics – prerequisite: Geometry, teacher recommendation

This course is designed as an introductory algebra course. Topics taught might include but not be limited to signed numbers writing and solving simple algebraic equations learning algebraic terminology and application of algebraic concepts.

 

6250 | Algebra 2: 10 credits – grade 9, 10, 11, 12 – Mathematics – prerequisite: recommended ‘C’ or higher in Geometry and Algebra 1

Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, and radical functions. Students work closely with the expressions that define the functions and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The Mathematical Practice Standards apply throughout this course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

 

6275QCEFR | FRCC College Algebra: (MAT1340) 5 credits (Quarter Offering) – grade 9, 10, 11, 12 – Mathematics – prerequisite: A or B in Algebra 2

MAT1340: Focuses on a variety of functions and the exploration of their graphs.  Topics include: equations and inequalities, operations on functions, exponential and logarithmic functions, linear and non-linear systems, and an introduction to conic sections.  This course provides essential skills for Science, Technology, Engineering, and Math (STEM) pathways. This is a statewide Guaranteed Transfer course in the GT-MA1 category. 

 

9357QCEFR | FRCC College Trigonometry: (MAT1420) 5 credits (Quarter Offering) – grade 9, 10, 11, 12 – Mathematics – prerequisite: A or B in Algebra 2

MAT 1420: Explores trigonometric functions, their graphs, inverse functions and identities.   Topics include: trigonometric equations, solutions of triangles, trigonometric form of complex numbers, and polar coordinates. This course provides essential skills for Science, Technology, Engineering, and Math (STEM) pathways. This is a statewide Guaranteed Transfer course in the GT-MA1 category. 

 

6275SCEFR | FRCC College Algebra (MAT 1340):10 credits (Semester Offering) – grade 10, 11, 12 – Mathematics – prerequisite: C or higher in MAT 121

MAT1340: Focuses on a variety of functions and the exploration of their graphs.  Topics include: equations and inequalities, operations on functions, exponential and logarithmic functions, linear and non-linear systems, and an introduction to conic sections.  This course provides essential skills for Science, Technology, Engineering, and Math (STEM) pathways. This is a statewide Guaranteed Transfer course in the GT-MA1 category. 

 

9357SCEFR | FRCC College Trigonometry (MAT 1420):10 credits (Semester Offering) – grade 10, 11, 12 – Mathematics – prerequisite: C or higher in MAT 121

MAT1420: Explores trigonometric functions, their graphs, inverse functions and identities.   Topics include: trigonometric equations, solutions of triangles, trigonometric form of complex numbers, and polar coordinates. This course provides essential skills for Science, Technology, Engineering, and Math (STEM) pathways.
This is a statewide Guaranteed Transfer course in the GT-MA1 category. 

 

6295 | AP Statistics: 10 credits – grade 10, 11, 12 – Mathematics – prerequisite: recommended ‘B’ or higher in Algebra 2

AP Statistics is a yearlong mathematics course centered around four main topics: exploring data; planning a study; probability as it relates to distributions of data; and inferential reasoning. Students will be expected to propose and carry out a statistical study. This course is designed to help prepare students for the Advanced Placement exam.

 

6290 | AP Calculus AB: 10 credits – grade 10, 11, 12 – Mathematics – prerequisite: recommended ‘B’ or better in College Algebra or College Trigonometry/Analytic Geometry

Calculus is a study of all topics traditionally offered in a freshman college calculus course. Topics covered are limits, derivatives of Algebraic functions, applications of the derivatives, applications of the definite integral, transcendental functions, and methods of integration. This course will help prepare the student to take the AP-AB Calculus test.

 

6291 | AP Calculus BC: 5 credits – grade 10, 11, 12 – Mathematics – prerequisite: AP Calculus AB

Calculus is a study of all topics traditionally offered in a freshman college calculus course. Topics covered are limits, derivatives of Algebraic functions, applications of the derivatives, applications of the definite integral, transcendental functions, and methods of integration, in function, parametric, vector and polar modes. This course will help prepare the student to take the AP Calculus test. At FCHS: BC Calculus covers the extended topics of AB Calculus needed to prepare for the second AP-BC Calculus test. It will be offered the second semester only and is taken concurrently with the second semester AB Calculus. Registration will take place at the end of the first semester of the AB Calculus course with teacher recommendation. (NOTE: Some colleges only accept and grant credit for scores from the BC Calculus test and may not accept scores form the AB test. Students should contact the schools in which they have an interest to find out their preference.)

 

9883CEFRHS | FRCC Calculus III with Engineering Applications (MAT2431):  5 credits/5 college credits – grade 10, 11, 12 – Mathematics – prerequisite: AP Calculus BC

MAT2431: Focuses on the traditional subject matter of multivariable Calculus with an additional emphasis on word problems and problem solving. Topics include vectors, vector-valued functions, partial derivatives, analytic geometry, multiple integrals, line integrals, Stokes', Divergence Theorems and Green's Theorems, and applications. This is a statewide Guaranteed Transfer course in the GT-MA1 category..

 

6320 | Computer Science Foundations A: 5 credits – grades 9, 10, 11, 12 – Mathematics – no prerequisite

Introduces students to the discipline of computer science and programming. Algorithm development, data representation, logical expressions, sub-programs and input/output operations using a high-level programming language are covered. Intensive lab work outside of class time is required.

 

6330 | AP Computer Science A: 10 credits – grade 9, 10, 11, 12 – Elective – prerequisite: enrollment in Algebra 2 or Teacher Recommendation

The AP Computer Science A course is an introductory course in computer science. Because the design and implementation of computer programs to solve problems involve skills that are fundamental to the study of computer science, a large part of the course is built around the development of computer programs that correctly solve a given problem. These programs should be understandable, adaptable, and, when appropriate, reusable. At the same time, the design and implementation of computer programs is used as a context for introducing other important aspects of computer science, including the development and analysis of algorithms, the development and use of fundamental data structures, the study of standard algorithms and typical applications, and the use of logic and formal methods. In addition, the responsible use of these systems is an integral part of the course.

 

6331 | AP Computer Science Principles A: 10 credits – grade 9, 10, 11, 12 – Elective – prerequisite: enrollment in Algebra 2 or Teacher Recommendation

AP Computer Science Principles is an introductory college-level computing course. Students cultivate their understanding of computer science through working with data, collaborating to solve problems, and developing computer programs as they explore concepts like creativity, abstraction, data and information, algorithms, programming, the internet, and the global impact of computing.

 

1831CEFRHS| FRCC Fundamentals of Accounting B (ACC101):  5 credits/3 college credits – grades 9, 10, 11, 12 – Math or Elective – prerequisite Fundamentals of Accounting A 

This second-level accounting class goes beyond what is learned in Accounting 1 by introducing students to special journals, preparing payroll and payroll taxes, corporate accounting, and accounting for a merchandising business. QuickBooks Pro automated accounting will supplement every chapter in the textbook. Students completing this class will be prepared to be an entry-level bookkeeper or data entry clerk.  Accounting 2 will be offered as an online course through Futures Lab. 

 

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