Upper School Math

Algebra I: (Required)

Algebra is the study of mathematical structure and relation and the focus of the Algebra I course involves working with relations and functions.  Students will work on graphing and solving linear, absolute value, and quadratic equations.  They will solve word problems using algebraic equations and variables, and develop a familiarity and comfort with the language of algebra.  They will also explore polynomials, radicals, the laws of exponents, and how these mathematical concepts can be used to model real-world events.  Students will also expand their use of technology through work with graphing calculators and computers and see where these tools can best be applied to real-world problem solving.

Geometry: (Required)

Geometry is the study of spatial relationships.  In the Geometry course students will learn the basics of Euclidean geometry and develop logical problem solving skills through the understanding of formal geometric proofs.  Topics that students will explore include the properties of lines, planes, angles, right triangles, polygons, similar and congruent figures, and area and volume.  Students will be introduced to the use of definitions, postulates, and theorems and will learn of their importance in the development of critical thinking skills. Prerequisite: Algebra I

Algebra II: (Required)

Algebra II expands upon and broadens student understanding of those topics learned about in Algebra I and Geometry.  Students are introduced to the properties of imaginary and complex numbers, radicals, and rational expressions.  They also continue to develop their understanding of polynomials, equations and inequalities, the graphing of functions, and the solving of real-world problems using algebraic techniques.  An introduction to the fundamentals of geometry and some work with probability and statistics are also covered in the course. Prerequisite: Algebra I and Geometry.

Pre-Calculus:  (Elective)

Pre-calculus continues the study of the elementary functions presented in Algebra I and Algebra II.  Students expand their understanding of the graphical qualities of linear, quadratic, and polynomial equations and their applications in real-world modeling.  Application of these functions as well as rational, exponential, and logarithmic equations in problem solving is critical for student understanding prior to moving on to the study of calculus.  In addition, students will develop a greater understanding of trigonometry, trigonometric relations, Law of Cosines, Law of Sines, and other trigonometric identities. The concept of limit and an introduction to calculus will be included if time permits. Prerequisite: Geometry and Algebra II.

Calculus: (Elective)

Calculus is the study of the rate of change in events and has major applications in science, engineering, business, and medicine.  The Calculus course provides the student with an introduction to the concept of limits, differentiation, integration, and trigonometric and transcendental functions.  Application of these concepts to real-world problem solving will be explored.