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. Equations in one variable, equations in two variables, simultaneous equations, polynomials, factoring, quadratic equations, and number sequences are some of the topics.
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 the properties and relations of points, lines, surfaces, and solids. Deductive reasoning will be used to understand lines, angles, congruence, quadrilaterals, area, circles, polygons, and other geometric solids. Geometry is a basis for more advanced studies in algebra and pre-calculus. An understanding of geometry is important for the SAT as well as for a host of practical hands-on crafts.
Middle School Mathematics emphasizes problem solving and assists the student in finding mathematical solutions. This course reviews and enhances the student’s understanding, recall, and application of basic mathematical concepts. Students explore the order of operations, decimals, measurement, 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.