Mathematics 16 Courses Found schema Course Sequence

This course focuses on Minnesota High School Academic Standards in Algebra. Topics: absolute value functions, rational exponents, systems of linear equations and inequalities, quadratic functions, polynomial operations/functions, complex numbers, linear programming, and variations. NCAA Prerequisite: None

This course is designed to develop the student's ability to reason logically and to enable the student to understand the structure of geometry and its relationship to algebra. Topics: properties of angles/lines;, right triangles; congruent triangles; circles; properties of quadrilaterals; area/volume; polygons; coordinate geometry; points, lines, planes in space; similar polygons; transformations; probability and statistics; and introduction to trigonometric ratios. NCAA Prerequisite: Successful completion of Intermediate Algebra

This course is similar to Geometry but covers topics in greater depth and emphasizes the structure and rigor of formal mathematics. Topics: properties of angles and lines; polygons; properties of quadrilaterals; coordinate geometry; right triangles; similar polygons; transformations; area/volume; congruent triangles; properties of points, lines, planes, and space; introduction to trigonometric ratios; circles; probability and stats. NCAA Prerequisite: Successful completion of Intermediate Algebra

This course completes the graduation requirements of the Minnesota Academic Standards for Algebra II. Topics: radical and cubic functions, sequencing series (arithmetic and geometric), exponential functions, rational expressions/functions, composition of functions, trigonometry; logarithms, conic sections, data analysis, sampling, probability, and introduction of statistics. NCAA Prerequisite: None

This course completes the graduation requirements of the Minnesota Academic Standards for Algebra II and is intended for students who are interested in covering topics in greater depth and at a more abstract level. Topics: radical and cubic functions, sequencing series (arithmetic and geometric), exponential functions, rational expressions/functions, composition of functions, trigonometry, logarithms, conic sections, data analysis, sampling, probability, and introduction of statistics. NCAA Prerequisite: None

Math for College is designed to meet the needs of seniors who have demonstrated an interest in continuing their mathematics study, but are not intending to take a pre-calculus course at the high school level. Topics will include the fundamentals of algebra, algebraic expressions, polynomials (including factoring), linear and quadratic equations (one and two variables), rational expressions and equations, exponents, radicals, linear and quadrate inequalities (one and two variables), systems of linear equations (two and three variables), functions, and an introduction to conic sections. Successful completion of this course with a grade of B or better will likely prepare the student for entry into college mathematics.

This course includes college-level algebra, trigonometry, and analytic geometry. Topics: linear/quadratic equations, trigonometry, polynomial equations, logarithmic functions, exponential functions, limits, complex numbers, inverse functions, use of graphing calculator, sequences and series, and matrices. NCAA Prerequisite: Algebra 2 Adv Fnc

This rigorous course includes college-level algebra, trigonometry, and analytic geometry. Topics: linear/quadratic equations, trigonometry, polynomial equations, logarithmic functions, polar coordinates, complex numbers, vectors, sequences and series, exponential functions, use of graphing calculator, inverse functions, matrices, limits, conics, integral, and derivative. NCAA Prerequisite: Algebra 2 Adv Fnc

This course is designed for students who plan to pursue careers in business, social sciences, computer science, engineering, psychology, sociology, medicine, or health science. It focuses on the importance and usefulness of mathematics as well as the direct application of skills. Students will apply concepts of chance and data analysis to make critical judgments, predictions, and decisions. Mathematical Applications topics: surveys, counting and probability, discrete distributions, matrices; Statistics topics: collection, organization, and modeling of data, two-way tables, measures of central tendency and dispersion, inference, normal distributions, correlation and causation, experimental and sample designs, and the use and misuse of statistics. NCAA Prerequisite: Algebra 2 Adv Fnc

This course is designed for students who plan to pursue careers in business, social sciences (psychology, sociology), computer science, engineering, biology, and health sciences (nursing, medicine). This course focuses on collecting, analyzing, and drawing conclusions from data. This course will focus on preparing students to take the AP exam successfully and the pace is comparable to a college-level course. Themes include: Data Production: Methods for producing data that can give clear answers to specific questions (Planning and conducting surveys and experiments) Data Analysis: Methods and strategies for exploring, organizing and describing data using graphs (histograms, stem-and-leaf plots, bar graphs, pie charts, etc.) and numerical summaries (mean, median, mode, range, standard deviation, etc.) Anticipating Patterns: Explores random phenomena using probability and simulation Statistical Inference: Moves beyond the data in hand to draw conclusions about a wider universe using the ideas of probability (estimating population parameters and testing hypotheses). NCAA Prerequisite: Successful completion of Algebra II Advanced Functions

AP Precalculus is an advanced mathematics course designed for high school students looking to deepen their understanding of essential pre-calculus concepts in preparation for college-level calculus. This course provides a comprehensive exploration of functions, polynomial and rational expressions, exponential and logarithmic models, and trigonometric functions. Students will also investigate analytical and graphical approaches to limits and learn about parametric and polar functions. The AP Precalculus curriculum emphasizes problem-solving, critical thinking, and real-world applications, with an integration of technology to enhance understanding. By mastering these foundational topics, students will develop the skills needed to succeed in AP Calculus and other college-level math courses. This course culminates in an AP exam, where students can potentially earn college credit. Honors NCAA Prerequisite: Algebra II Advanced Functions

This introductory college-level course is intended for students who anticipate taking the Advanced Placement test. Topics: functions and limits, exponential function, differentiation, logarithmic function, analytic geometry, and integration. NCAA Prerequisite: Successful completion of Mathematical Analysis

This Advanced Placement course will address the outcomes of a second semester college calculus course. Advanced integration techniques will be taught, with an emphasis on application, and work will be done on series and sequences. The AP Calculus BC course will address topics beyond AP Calculus AB. NCAA Prerequisite: Precalculus

Topics are selected from the following: coordinate and vector geometry, vector valued functions, velocity-acceleration and curvature, cylindrical and spherical coordinate systems, partial differentiation and applications, double and triple integrals, Green's - Stoke's Divergence Theorems, Frenet Formulas. Honors Concurrent Enrollment High school and college credit from RCTC (5 Credits) are awarded Prerequisite: AP Calculus BC

The AP Computer Science A course is an introductory college level 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. NCAA CTECH 2 PERIOD BLOCK Prerequisite: Algebra II OR Data Science with Python OR JavaScript OR Mobile Computer Science Principles OR Moderate programming experience

The AP Computer Science A course is an introductory college level 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. NCAA Honors Prerequisite: Algebra II OR Data Science with Python OR JavaScript OR Mobile Computer Science Principles OR Moderate programming experience