Math 1050 and Math 1060
Description: This course is designed to rebuild foundational skills and concepts that may be missing from earlier grades. Students will learn to think flexibly about relationships among fractions, decimals, and percents; learn to recognize and generate equivalent expressions and solve single-variable equations and inequalities; investigate and explore mathematical ideas and develop multiple strategies for analyzing complex situations; and analyze situations verbally, numerically, graphically, and symbolically.
Students will apply mathematical skills and make meaningful connections to life’s experiences. Although Algebra Readiness does not count towards the diploma math requirement, it is intended to prepare students for an Algebra course approved as a high school math course.
Description: This course spans two years and covers the basics of a first-year algebra course. The main goal is to develop fluency in working with linear equations. Students will extend their experiences with tables, graphs, and equations and solve linear equations and inequalities and systems of linear equations and inequalities. Students will extend their knowledge of the number system to include irrational numbers, generate equivalent expressions and use formulas, simplify polynomials and begin to study quadratic relationships, use technology and models to investigate and explore mathematical ideas and relationships, and develop multiple strategies for analyzing complex situations.
Students in this course will analyze situations verbally, numerically, graphically, and symbolically.
Description: This course covers the basics of a first-year algebra course. The main goal is to develop fluency in working with linear equations. Students will extend their experiences with tables, graphs, and equations and solve linear equations and inequalities and systems of linear equations and inequalities. Students will extend their knowledge of the number system to include irrational numbers; generate equivalent expressions and use formulas; simplify polynomials; solve quadratic equations by factoring, by completing the square, by using graphs, or by applying the quadratic formula. Students will become proficient with operations on monomial and polynomial expressions. Students are introduced to rational expressions and use their factoring skills to simply and compute expressions.
Description: The focus of Algebra II is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships. This course complements and expands the mathematical content and concepts of Algebra I and Geometry.
Topics include: systems of equations, quadratic, logarithmic and exponential functions, the complex number system, arithmetic and geometric sequences and series, and conic sections. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships.
Description: This course is designed for 11th and 12th graders who earned Algebra I and Geometry credit in high school but need the course to satisfy the third year of high school math requirement for graduation. This is not a college-preparatory course, but is an applied mathematics course constructed around typical situations that the ordinary adult would encounter in life.
Topics include interest and loans, paychecks and deductions, keeping budgets, shopping and reading catalogs and ads, apartment rental leases, taxes, and buying on credit. Within this course students will have many opportunities to apply their knowledge of arithmetic.
Description: The main goal of Geometry is for students to develop a Euclidean geometric structure and apply the resulting theorems and formulas to address meaningful problems. Students will use experimentation and inductive reasoning to construct geometric concepts, discover geometric relationships, and formulate conjectures; employ deductive logic to prove theorems and justify conclusions; extend their pre-existing experiences with algebra and geometry to trigonometry, coordinate geometry, and probability; use dynamic geometry software, compass and straightedge, and other tools to investigate and explore mathematical ideas and relationships and develop multiple strategies for analyzing complex situations.
Concurrent Enrollment at Utah State University
Description: These courses are college-level courses running parallel with Precalculus. For 3 college credits and 1 full year of high school credit, students must enroll at USU and earn a passing grade. The course is taught by a math teacher at Alpine Academy in the capacity of an adjunct professor with USU.
Description: Precalculus weaves together previous study of algebra, geometry, and mathematical functions into a preparatory course for calculus. The course focuses on mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. Throughout the course, Common Core standards are taught and reinforced as the student learns how to apply the concepts in real life situations.
Topics include fundamental concepts of Algebra, functions and graphs, polynomials and rational functions, exponential and logarithmic functions, trigonometric functions, analytic trigonometry, topics in trigonometry, systems of equations and inequalities, matrices and determinants, conic sections and analytic geometry, sequences, induction, probability, and an introduction to Calculus.