Mathematics
MATHEMATICS
Courses offered at Cannon Falls teach various math skills from simple addition to complex differentiation and integration techniques. While a student may not necessarily use some of the math skills they are taught in school, all students will benefit from the thinking processes that are necessary to develop those skills.
The traditional sequence of math courses for the college bound student is Intermediate Algebra, Algebra II, Geometry, Analysis, Calculus and College Algebra. Check for the necessary prerequisites when registering for courses. All Math courses must have instructor’s recommendation/ approval for you to register.
REQUIREMENTS
Grade 9: All 9th graders must take a full year of math.
Grade 10-12: Two full years of math or four semesters.
See Appendix A for further information.
Note: UM-Twin Cities, Duluth, Morris and Rochester campuses require four years of High School math for admission.
THESE ARE THE COURSES OFFERED AT CFHS.
#1101 – INTERMEDIATE ALGEBRA
Full Year - 1 Credit
Grades 9 – 10
This course will be a continuation of the skills acquired in Linear Algebra. The topics will include: Linear inequalities, Systems of Linear Equations and Inequalities, Properties of Exponents, Operations of Polynomials, Factoring, Graphing and Solving Quadratic Equations, Radical and Rational Functions. Successful completion of this course prepares the student for Algebra II.
Prerequisite: Linear Algebra
#1102 - ALGEBRA II
Full Year - 1 Credit
Grades 9 - 11
This course will be a continuation of Intermediate Algebra but will deal with the solution of more difficult equations and inequalities and will be used in practical word problems. Students will translate between real-world situations and mathematical models using graphs, matrices, data tables and/or spreadsheets, verbal descriptions and algebraic expressions. They will also generalize patterns and build mathematical models to deal with situations that are linear, periodic and exponential growth/decay.
Prerequisite: Successful completion of Intermediate Algebra or 8th grade Algebra I, along with teacher recommendation.
#1103 - GEOMETRY
Full Year - 1 Credit
Grades 10 - 12
This course is designed to develop the student's ability to think logically. Students will model geometric structures; analyze characteristics of shape, size and space, use geometric properties to justify reasoning in a logical argument.
Prerequisite: Successful completion of Algebra II and teacher recommendation.
#1104 - INTRODUCTION TO ANALYSIS
Full Year - 1 Credit
Grades 11 - 12
This course will begin by reinforcing the concepts learned in Algebra II. The remainder of the course will include the exploration, investigation and application of the following topics: relations, functions and graphs, trigonometry, advanced functions and graphs, discrete mathematics, and an introduction to calculus. A course that all college-bound students interested in science, math, business, or economics should take.
Prerequisite: Successful completion of Algebra II and Geometry along with a teacher recommendation. A graphing calculator is strongly encouraged.
#1106 - INTRO TO COLLEGE ALGEBRA
1/2 Credit
Grades 12
The goal of this class is to introduce the topics usually found in a college-level algebra course. It is an excellent refresher course for the student planning to attend college, who has completed Algebra II, or beyond, and does not have a math class scheduled for their senior year. The course will begin with a streamlined review of introductory algebra topics and provide an early introduction to functions and graphing, creating a foundation for discussion of intermediate topics and a wide variety of problems involving graphing and functions.
Prerequisite: Open to 12th grade students only who have completed Geometry or beyond. A teacher’s recommendation is required. *Maybe taken with Probability and Statistics for a full 4th year of math as an alternative to Intro to Analysis.
#1107 – PROBABILITY AND STATISTICS
1/2 Credit
Grades 12
Probability and Statistics has become required college coursework for many majors. Nursing, Business, Physical therapy, Marketing, Psychology, Sociology are just a few that have this requirement. This class will be a great preparation for that college work, as well as offer an opportunity to meet the four years of high school math that are required by the University of Minnesota system. This course is the perfect partner with College Algebra to allow students a full math credit their senior year and have an excellent preparation for college.
Prerequisite: Open to 12th grade students only who have completed Geometry or beyond.
A teacher’s recommendation is required.
#1105 – A.P. CALCULUS
Full Year - 1 Credit
Grade 12
This class will offer an in-depth study of limits, derivatives and integrals and their application to real world problems. This class will also prepare the student for the Advanced Placement Calculus AB test. It is an excellent preparatory class for college calculus. Students planning a career in math or math related field should take this course.
Prerequisite: Successful completion of Introduction to Analysis along with teacher recommendation. All students are required to have a graphing calculator.
THESE COURSES ARE OFFERED THROUGH ITV
#9106 COLLEGE ALGEBRA (ITV semester course)
½ Credit
Grades 11-12 (Through College in the School)
The prerequisites to take this course are: Be at least 16 years old, passed the ACCUPLCR exam, juniors must be in the top 1/3 of their class and for seniors in the top 1/2 of their class, have a minimum high school GPA of 3.0 and completed Algebra in HS or Intermediate Algebra on ITV (See your counselor for details). This course covers polynomials, roots and powers, lines and solving linear inequalities, and linear, quadratic, and rational equations. This course will fulfill your college math requirements for most non science, math, or engineering majors.
#9105 A.P. CALCULUS (ITV full year course)
1 Credit
Grades 11-12
This course will include a quick review of functions (polynomial, exponential, parametric, logarithmic and trigonometric) and also Limits and Continuity. It will then continue as a course in single-variable calculus that includes techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities. Algebraic, numerical, and graphical representations are emphasized throughout the course. A graphing calculator is required (TI-83 recommended). Attitude prerequisites include a willingness to work both in and out of class and a sincere intent to place out of the first semester of college calculus rather than repeat it.