An independent middle and high school based on Montessori principles
The integration of geometry, algebra, and trigonometry is the goal of pre-calculus. Detailed study of polynomial functions, exponential and logarithmic functions, trigonometric functions, analytic geometry, systems of equations, sequences, and probability constitute the core of the class. Students can be expected to model natural and man-made phenomena using material in the course. Limits of functions and a basic introduction to derivatives are the threads that tie pre-calculus to the full study of calculus.
Algebra is the study of numerical patterns and their abstract representations. Students represent and analyze these patterns using functions, operations, tables, and graphs. Students learn these concepts and skills in a cognitively rich context of problem solving and critical reading and thinking. Advanced algebra concepts involve more complex reasoning and functions, conic sections, trigonometry and modeling.
This course is intended to build upon the concepts developed in geometry and Algebra I. The course covers advanced topics in algebra such as polynomials and their graphs, division of polynomials, composite functions, zeros of polynomial functions, exponential and logarithmic functions, systems of equations, imaginary and complex numbers, and trigonometric functions. The properties of matrices and determinants will be covered also.
Students are encouraged to perform calculations by hand and electronic methods. Topics in this course are important for the SAT and other college entrance exams.
Geometry is the study of spatial reasoning. Students learn properties of two-dimensional and three-dimensional figures, classical reasoning, geometric construction, and Cartesian geometry. Students learn these concepts and skills in a cognitively rich context of problem solving, critical reading and thinking, and hands-on projects. Advanced studies in geometry can lead to trigonometry, the study of right triangles and their applications.
Middle school mathematics emphasizes problem solving and assists the student in finding mathematical solutions. In addition to problem solving this course reviews and enhances the student’s understanding of basic mathematical concepts. This class looks further into the order of operations, decimals, the metric system, basic geometry, data analysis, factors, proportions, ratio, integers, and algebraic equations.
Students learn the basics of algebraic thinking while honing fundamental math skills. Students learn algebraic language and concepts. During the course they expand their ability to independently apply algebraic reasoning using real numbers, exponents, variables, ratios, proportions, equations, and inequalities.
Statistics is a branch of mathematics that deals with the systematic collection, analysis, and interpretation of data. Students will study and analyze data from many real world disciplines such as medicine, biology, social science, law, natural resources, climate, engineering, sports, and economics, just to name a few. The class will be introduced to professional level statistical software in order to process medium to very large data sets. Students will be expected to design surveys and experiments in order to demonstrate statistical methods and models. The positive and negative influences of Big Data in modern culture will play an important role during background discussions.