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 grade. Because it is building on the middle grades standards, this is a more ambitious version of Algebra I than has generally been offered. 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 each 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. Important differences exist between this Geometry course and the historical approach taken in Geometry classes. For example, transformations are emphasized early in this course. Close attention should be paid to the introductory content for the Geometry conceptual category found in the high school CCSS. The Mathematical Practice Standards apply throughout each 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. The critical areas, organized into six units are as follows: Congruence, Proof, and Constructions; Similarity, Proof and Trigonometry; Connecting Algebra and Geometry through Coordinates; Circles With and Without Coordinates; Extending to Three Dimensions; Applications or Probability.

 

6146 | Data Analysis and Probability: 5 credits – grade 10,11, 12 – Mathematics – prerequisite: Geometry

Recommended Prerequisite:  successful completion of Geometry    Data Analysis & Probability is a semester long course centered around 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.    Data Analysis & Probability explores data by describing patterns and departures from patterns; sampling and experimentation by planning and conducting a study; probability by analyzing random phenomena using probability and simulation; and statistical inference by estimating population parameters and testing hypotheses.

 

6246 | Discrete Mathematics: 5 credits – grade 10,11, 12 – Mathematics – prerequisite: Geometry

Recommended Prerequisite: Successful completion of 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 each 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. The critical areas for this course, organized into four units are as follows: Inferences and Conclusions from Data; Polynomial, Rational, and Radical Relationships; Trigonometric Functions; Modeling with Functions.

 

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

MAT 1340: 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 year long 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. Prerequisite: Successful completion of Algebra 2. Credits: 10

 

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-BC Calculus test. Prerequisite: Pre-Calculus or equivalent.

 

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. Prerequisite: Pre-Calculus or equivalent.

 

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

CSC 1060: 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 

ACC 1001: Introduces accounting fundamentals with emphasis on the procedures and practices used in business organizations.  Major topics include the accounting cycle for service and merchandising companies, including end-of-period reporting.

 

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