Mathematics

Integrated Algebra

Algebra provides tools and ways of thinking that are necessary for solving problems in a wide variety of disciplines, such as science, business, social sciences, arts, and technology. This course assists students in developing skills and processes to be applied using a variety of techniques to successfully solve problems in different contexts. The fundamentals of algebra, including linear functions and equations, polynomials, and quadratic equations are studied in depth. Coordinate geometry is integrated into the investigation of these functions allowing students to make connections between their analytical and geometrical representations. Measurement within problem-solving contexts, data analysis, and visual representations of data are studied. Elementary probability theory and right triangle trigonometry is also introduced.

Geometry

Prerequisite: Integrated Algebra

This course is designed to employ an integrated approach to the study of geometric relationships. It aims to lead students to an understanding that reasoning and proof are fundamental aspects of mathematics. Students have the opportunity to make conjectures about geometric situations and prove in a variety of ways, both formal and informal, that their conclusion follows logically from their hypothesis. Integrating synthetic, transformational, and coordinate approaches to geometry, students will justify geometric relationships and properties of geometric figures.

Algebra II and Trigonometry

Prerequisite: Geometry and Integrated Algebra

While developing the algebraic techniques that will be required of those students that continue their study of mathematics, this course is also intended to continue developing alternative solution strategies and algorithms. In this course, the number system is extended to include imaginary and complex numbers. Students learn about polynomial, absolute value, radical, trigonometric, exponential, and logarithmic functions. Problem situations involving direct and indirect variation are solved. Data analysis is extended to include measures of dispersion and the analysis of regression models. Arithmetic and geometric sequences are evaluated. Binomial expressions provide the basis for the study of probability theory, and the normal probability distribution is analyzed. Right triangle trigonometry is expanded to include the investigation of circular functions. The course concludes with problems requiring the use of trigonometric equations and identities.