Fei Tian Academy

Integrated Algebra

Integrated 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 that can be applied 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 are also introduced.

Geometry

The prerequisite for this course is 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, formally and informally, that their conclusions follow logically from their hypotheses. Integrating synthetic, transformational, and coordinate approaches to geometry, students will justify geometric relationships and properties of geometric figures.

Algebra II

The prerequisites for this course are Integrated Algebra and Geometry. This course is a continuation of Integrated Algebra and a further introduction to trigonometry. The curriculum is designed to introduce students to more advanced mathematical ideas while encouraging them to further develop and refine their quantitative problem-solving skills. Topics include relations and functions, quadratic equations, exponents and radicals, complex numbers, and exponential and logarithmic functions. The course also includes a study of trigonometric ratios and functions. Students successful in this course may take Pre-Calculus as an elective.

Algebra II Honors

Algebra II Honors is a fast-paced course designed to challenge students to expand concepts from algebra and geometry as well as to offer additional mathematics beyond Algebra II that students should learn in order to study advanced topics such as calculus, advanced statistics, or discrete mathematics. In this course, students build on their work with linear, quadratic, and exponential functions and extend their repertoire to include polynomial, rational, radical, and trigonometric functions. Students also expand their ability to model situations and solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The course covers sequences and series, and probability distributions.