• Mathematics

    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..

    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.

    Integrated Math

    Length of Class: Year
    Prerequisite: Algebra Prep or Algebra I with Teacher recommendation Grade Level(s): 10-11
    This course offers basic topics from algebra, geometry, and statistics. An emphasis will be placed on real world connections to help students be on track for graduation.​ 

    Algebra 1

    Length of Class: Year
    Prerequisite: 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.

    Algebra 1 Hybrid

    Length of Class: Year
    Prerequisite:  Alg. Prep. or Teacher Recommendation 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. An on-line MathXL program is used for all homework and testing. Students should have both computer and internet access at home.

    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.

    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.

    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.

    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|

    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. 

    Introductory Algebra 098:

    Length of Class: Semester or year long 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.

    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.

    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.

    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.

    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

    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.

    AP Calculus AB

    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).  

    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. 

    Contemporary Math 105 (Dual Credit) (on-line)

    Length of class: Semester
    Prerequisite: Geometry, Students must meet GFCMSU Math Placement scores via ACT or Accuplacer Grade Levels(s) 11, 12
    Fee: $20 Math XL Fee
    An introduction to mathematical ideas and their impact on society. Math 105 provides and introduction to statistics among other topics. Course topics include interpreting data, normal distributions, correlation, least squares regression, sampling designs, experimental designs, probability, financial math, linear and exponential growth, functions and basic geometry. As dual enrollment, this course satisfies the general education mathematics requirement. The course is offered on-line, however please realize that all exams are proctored and all proctors must be approved by GFCMSU.

    AP Statistics (Dual Credit)

    Length of Class: Year
    ​Prerequisite: Algebra II/Trig or Alg. I Honors and Instructor Permission Grade Level(s): 11, 12
    All topics covered in the Math 105 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 Math 105 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 semester credits from Great Falls College-MSU and one high school credit.