Calculus allows students to analyze functions carefully using various sophisticated methods, including considering the behavior of the function over infinite and infinitesimal (infinitely small) intervals. Understanding of calculus includes study of limits and continuity, derivatives and their applications, the Fundamental Theorem of Calculus, and integrals and their applications. Through studying calculus, students will further their understanding of physics and chemistry by having a better understanding of the mathematical explanation for motion, heat, light, radioactive decay, reaction rates, and more.ir lives.
Data Analysis and Statistics
Students collect and analyze data from the time they come to the Upper School in the 6th grade through their senior year. Through different classes, students learn to understand data presented to them in various forms and to draw appropriate conclusions. Furthermore, as students formally dive into data analysis and statistics they explore the following core concepts: describing a data set numerically and graphically; basic probability; the normal distribution; confidence intervals and hypothesis tests; and correlation and regression.
Geometry is the study of shapes, their properties and the logical reasoning that connects these properties. All around us are basic shapes that come together in various ways to make the world around us. By learning about the measurement of angles and segments, properties of polygons and polyhedra, congruence and similarity, parallel lines, circles, perimeter, area, and volume and basic trigonometry students will learn to see the world through a different lens. Through their experience at the Upper School, students will be able to use their knowledge of geometry and algebra as tools to approaching problems they come across beyond the classroom.
Algebra is the study of mathematical symbols and their manipulation. Students will gain mastery in reading, applying, and rearranging equations in real-world circumstances. Furthermore, from their Upper School experience, students will explore the following core concepts: solving equations and problems in one and multiple variables for unknown quantities, graphing on the coordinate plane, rational expressions and equations, combining and factoring polynomials, finding roots of polynomials, complex numbers, and functions (including linear and quadratic).