Red Lodge High School
Intermediate Algebra is for students who need a bridge course prior to Algebra II following the completion of Geometry. This course reviews the foundational Algebra skills and concepts necessary for success in Algebra II. It will also help develop concepts for career readiness. Topics in the class are, but not limited to, functions, fractions, compound fractions, logarithms, factoring, solving equations, quadratics, radicals, elementary statistics, probability, finances, graphing, and number systems. Students who with to take this course must be recommended by the high school math faculty and have approval of the high school counselor.
Algebra II is designed to build and expand on the topics from Algebra I and Geometry. This course will continue to develop skills in systems of equations and quadratic functions and explore new concepts including polynomial, exponential, logarithmic, rational, and radical functions. Throughout the class we will be utilizing various graphing utilities including graphing calculators and other graphing applications. The contents of this course are important for students to be successful on the ACT and college mathematics entrance exams as well as in Precalculus and beyond. Additionally, Algebra II will continue to develop general problems solving skills that focus on logical thinking and reasoning.
Trigonometry and Precalculus is designed to follow Algebra II and Geometry. We will study more advanced concepts of Algebra including polynomial, rational, exponential and logarithmic functions, taking what was learned in Algebra II and deepening our understanding of the subjects. We will also explore key concepts of trigonometry including: right-triangle trigonometry, angles of rotation, radian measure, arc length and areas, trig functions and their inverses, trig identities, and the Law of Sines and Cosines. During this class, we will be relying heavily on graphing calculators and other graphing applications.
This Calculus class is designed as an introduction to Calculus for students wishing to continue their mathematical careers in high school. This course will focus primarily on Limits and Derivatives with special attention to continuity, rules for differentiation, and applications of differentiation. With anti-differentiation and integration as time allows. During this class, we will be relying heavily on graphing calculators and other graphing applications. This is the preferred prerequisite to Advanced Calculus.
Advanced Calculus (Year-Long)
This is the most advanced Calculus course that is offered at Red Lodge High School and is recommended for all students who plan to take Calculus in college. The course places a strong emphasis on preparing to pass the AP test. Throughout the year we will cover three general area: 1) Functions, Graphs, and Limits 2) Derivatives and 3) Integrals. We will focus on analysis of a graph, limits of functions, asymptotic and unbounded behavior, continuity, derivatives at a point, concepts of differentiation, derivatives as functions, second derivatives, applications of derivatives and integrals, properties of definite integrals, the Fundamental Theorem of Calculus, applications of anti-differentiation, and numerical approximations to definite integrals. Upon completion of Advanced Calculus, students will be prepared to take the AP test and if they pass, enter directly into Calculus II in college. For additional information on AP courses go to https://apstudent.collegeboard.org/home