Geometry is a natural meeting point between liberal studies and the math and sciences. This is due to the fact that logic must be concretely applied in order the grasp Geometry's full meaning. Therefore, students will be forced to call upon previous knowledge from both ends of the academic spectrum, which will make most of what they learned tangibly tie together. Along with this clarifying of previous knowledge, the goal is to continue to reinforce basic algebraic and arithmetical principles.
Mathematics is perhaps the most readily applicable discipline a student can learn. This class is intended to reinforce current levels of arithmetical knowledge as well as introduce more difficult and advanced algebraic equations and applications. This will consequently prepare students for more advanced upper school arithmetic, and eventually collegiate level mathematics.
Advanced Mathematics I
In this course students will explore advanced mathematics. Students will begin the study of advanced mathematics by reviewing and clarifying the basic concepts in algebra (the language of mathematics) and proceeding to review functions and function families. The course will then build on this foundation through the study of the properties of circles, set theory, and problems of rate and change. Students will also become acquainted with more advanced areas of mathematics such as geometric transformation and matrix algebra.
Advanced Mathematics II
In this course, students will explore advanced mathematics. Important to the study of mathematics, and particularly important for students receiving a classical education, is an understanding of the problems in mathematics and the problem of the truth about mathematics (two very different things students may be surprised to learn). As such, students will become acquainted in this course with both advanced methods and topics in mathematics as well the nature of mathematics. The course will explore topics and methods in mathematics by laying a foundation for calculus and advanced study through discrete mathematics, functions (from linear to exponential), trigonometry, probability, and limits. Students will explore the nature of mathematics by learning of its history, methods, and philosophical foundations.
This class is a study of the language, concepts, and techniques of Algebra that will prepare
students to approach and solve problems following a logical succession of steps. Skills taught in
the course lay groundwork for upper level math and science courses and have not only practical
uses but its beauty lies in expanding the mind.
Algebra is one of the primary languages used in the study of Mathematics. The language of algebra can be used to describe both abstract and concrete realities. Functions can be seen as a bridge between the concrete and abstract. In this course, students will use functions to build on the fundamentals of Algebra by connecting the concert and the conceptual through abstraction with functions. Over the course of the year students explore both equalities and inequalities as well as linear, quadratic, absolute, radical, rational, exponential, logarithmic, and cubic functions. These topics will be studied algebraically and graphically.
Applied Mathematics III
This class is a study of the language, concepts, and techniques of Algebra 1, Geometry, Statistics,and Financial Math that will prepare students to approach and solve problems following a logical succession of steps. Skills taught in the course lay groundwork for not only real world applications, but its beauty lies in expanding the mind.