## Mathematics Department |

__Math Literacy__Length of Class: Year

Prerequisite: Teacher recommendation and/or SMI score

Class is designed to improve math skills in the areas of fractions, decimals, percents, integers, basic geometry and solving algebraic equations. The purpose of this class is to continue to develop these same skills on a more advanced level in order to prepare students for algebra topics..

Download the course syllabus: Mrs. Wren | Mr. Robertson |

__Algebra-Prep__Length of Class: Year

Prerequisite: Teacher recommendation and/or SMI score

Grade Level(s): 9-12

Provides a foundation for Algebra 1. Topics include a review of fraction, percents, and decimals. Additional topics include solving equations, graphing linear functions, solving systems of equations, polynomial simplification, area, perimeter, introductory statistics, factoring and solving basic quadratic equations.

Download the course syllabus: Mrs. Frisbee | Mr. Robertson | Mr. Lanier |

__Algebra 1__Length of Class: Year

Prerequisite: Math Literacy, Alg. Prep. or Teacher Recommend.

Grade Level(s): 9, 10, 11, 12

The course covers solving linear and quadratic equations and linear inequalities, graphing linear functions and linear inequalities, factoring, solving systems of equations, polynomial operations, problem solving, simplifying radicals and solving radical equations. An emphasis will be placed on real world connections.

**This course is required for graduation.**

Download the course syllabus: Mr. Brien | Mr. Smart | Mrs. Wren | Mr. Robertson | Mrs. Kotthoff |

__Algebra 1 Honors__Length of Class: Year

Prerequisite: Teacher Recommendation and/or SMI score

Grade Level(s): 9

Must also have strong eighth grade teacher recommendation. (Honors preferred) Course covers all topics from Algebra 1 covered at a faster pace and problems are at a higher difficulty level. Additional topics include rational expressions and equations, algebraic proof, introductory trigonometry and exponential functions.

Download the course syllabus: Mr. Smart |

__Intermediate Algebra__Length of Class: Year

Prerequisite: Algebra 1 Teacher Recommendation Preferred

Grade Level(s): 10, 11, 12

This course allows students to gain a better understanding of algebra (covers topics from Algebra 1) while introducing students to basic geometry. Two quarters each of algebra and geometry are included.

Download the course syllabus: Mr. Griffith | Mr. Brien | Mr. Davis |

__Geometry__Length of Class: Year

Prerequisite: Successful Completion of Algebra 1

Grade Level(s): 10, 11, 12

This course is designed to build on the basic geometric ideas learned in middle school math. Students review algebraic skills as they apply to geometric concepts including triangle congruence and similarity, the study of polygons, transformations and constructions, and basic trigonometry.

Download the course syllabus: Mr. Griffith | Mrs. Frisbee | Mr. Davis | Mr. Lanier |

__Honors Geometry__Length of Class: Year

Prerequisite: Algebra I Honors (Teacher Recommendation)

Grade Level(s). 9, 10

This course covers all topics from Geometry including a study of proofs. Topics are covered at a faster pace and problems studied are more difficult than in Geometry. An extensive review of honors algebra topics will occur throughout the year to enhance preparation for Algebra II/ Trigonometry Honors

Download the course syllabus here: Mr. Lanier | Mrs. Kotthoff |

**Intermediate College Algebra 095**Length of Class: Semester

Prerequisite: Placement based on ACT or Accuplacer score

Teacher Recommendation

Grade Level(s): 12

This course offers a review of algebra with a deeper emphasis on factoring, systems of equations, determinants, systems of inequalities, rational expressions, radical expressions, complex numbers, quadratic equations, polynomial functions, conic sections, as well as exponential and logarithmic functions. Technology enhanced, the overall goal of the course is to prepare students for a smooth transition to college algebra.

Download the course syllabus: Mrs. Brown |

__Introductory Algebra 098:__Length of Class: Semester or yearlong Depending on proficiency

Prerequisite: Placement based on ACT or COMPASS score or Teacher Recommendation

Grade Level(s): 12

Introductory Algebra initiates the development in students’ ability to organize thought processes and systematically solve problems while preparing students for studies in other courses. Course emphasis includes manipulation of variables, exponential applications, introduction to and factoring of polynomials, solving equations, and radicals. Introductory Algebra emphasizes systems of equations, determinants, systems of inequalities, rational expressions, radical expressions, complex numbers, quadratic equations, and exponential and logarithmic functions.

Download the course syllabus: Mrs. Frisbee | Mrs. Kotthoff |

__College Algebra 121 (Dual Credit)__Length of Class: Semester

Prerequisite: Qual. COMPASS/ACT score

Grade Level(s): 12

This course presents concepts, principles and methods of college-level algebra. Topics to be covered include polynomial, rational, radical, exponential, and logarithmic functions and their graphs, and real and complex numbers. This course is transferable and is designed to satisfy the general education requirements for graduation from colleges and universities within the Montana University System.

Download the course syllabus: Mrs. Brown |

__Algebra II/Trig__Length of Class: Year

Prerequisite: Algebra I, Geometry

Grade Level(s) 10, 11, 12

Course provides the background needed for the study of pre-calculus, physics and engineering. Topics include analyzing linear and quadratic equations, systems of linear equations and inequalities and their graphs, polynomial exponential and logarithmic functions, trigonometry and its applications.

Download the course syllabus: Mr. Kynett | Mr. Smart | Mr. Davis |

__Algebra II/Trig. Honors__Length of Class: Year

Prerequisite: Algebra IH, Honors Geometry (Teacher Recommendation)

Grade Level(s) 10, 11

Course provides the background needed for the study of calculus, physics and engineering. Topics include an in-depth study of the algebra of relations, functions (polynomials, rational, exponential and logarithmic) and their inverses plus a comprehensive study of analytical trigonometry, trig., applications, systems of equations, inequalities, and conic sections.

Course syllabi: Mr. Brien |

__Precalculus 151 Dual Credit__Length of Class: Semester

Prerequisite: College Algebra 121 grade of C or higher and/or qualifying COMPASS/ACT score

Grade Level(s) 12

This course prepares students for calculus. It covers polynomial, rational, exponential, logarithmic and trigonometric functions from an algebraic and a graphical perspective including solving related equations, inequalities and applications. Inverse functions, conics polar coordinates and equations, parametric equations, and trigonometric Laws and identities will also be covered.

__Analysis Honors__Length of Class: Year

Prerequisite: Algebra II/Trig (Teacher Recommendation)

Grade Level(s): 11, 12

This course consists of the study of a variety of advanced mathematical concepts including vectors, parametric equations, matrices, logarithms, and limits. Includes working with trig and an introduction to differential calculus.

Download the course syllabus.

__Applied Math__Length of Class: Year

Prerequisite: Algebra 1 Teacher Recommendation

Grade Level(s): 12

Course is designated with an emphasis on business math and is to provide students with skills needed for everyday living including personal finances, budgeting, taxes, banking, etc.

Download the course syllabus: Mr. Kynett |

__Technical Math__Length of Class: Year

Prerequisite: Algebra I or above

Grade (levels): 11 or 12

This course is designed for those interested in pursuing a technical or vocational career or degree after high school or who have an interest in applied technical math topics. Topics include fractions, decimals, ratios, proportions, formulas and word problems. Areas studied are metric and American measurement systems, linear equations, development of applied skills in practical geometry, solid figures and basic trigonometry. There will be extensive use of word problems with trades based applications. (COMPASS test required.) Tuition cost is divided between GFC-MSU and student. Students will receive three college credits from GFC-MSU and one high school credit.

__AP Calculus__Length of Class: Year

Prerequisite: Algebra II/Trig Honors

Grade Level(s): 11, 12

This course is a study of a variety of topics from differential and integral calculus, including work with trig and analytic geometry. College credit is available for those who successfully complete the AP Calculus exam (student expense).

Download the Course Syllabus.

__Intro Stats__Length of class: Semester

Prerequisite: Geometry

Grade Levels(s). 11, 12

Course topics include interpreting data, normal distributions, correlation, least squares regression, sampling designs, experimental designs and probability.

__Honors Statistics (Dual Credit)__Length of Class: Year

Prerequisite: Algebra II/Trig or Alg. I Honors and or Instructor Permission

Grade Level(s): 11, 12

All topics covered in the Intro class are covered as well as exponential and power regression, binomial and geometric distributions, Type I and Type II errors, Chi-Square Testing, Z-tests and T-tests for means and proportions. This course is faster paced than the intro class and will prepare students for the AP exam.

**This is a Dual Credit class**.

**To qualify for this option, students must meet math placement scores.**Students will receive four college credits from Great Falls College-MSU and one high school credit.

Download the course syllabus: Mrs. Brown |