In this course, students expand understanding of expressions including rewriting, interpreting and examining rational, radical, polynomial expressions and deriving the formula of the sums of finite geometric series. Students continue expanding their knowledge of rational, polynomial, radical, exponential and logarithmic functions; they learn to represent functions algebraically, graphically, in numerical tables and by verbal descriptions. Students expand their knowledge of the real numbers to model/ solve a variety of equations/ inequalities and the systems of equations with two or more variables. Students practice creating equations for the real world situations, learn how to solve them, interpret the solutions and explain the reasoning. Students learn about complex numbers and explore real /complex roots of polynomial functions using the Fundamental Theorem of Algebra.

 

Students explore/ apply the Remainder Theorem and the Binomial Theorem with the polynomial expressions and equations. Students explore the relationship between the exponential functions and their inverses, the logarithmic functions. Students explore all conic sections and learn how to express geometric properties with equations. Students extend their trigonometry knowledge: they learn how to interpret the radian measure of angles in the unit circle, graph all six trigonometric functions, model the periodic phenomena of the graphs, and prove/apply trigonometric identities. Finally, students continue expanding their knowledge of statistics by summarizing, representing, and interpreting data using the normal distribution. Moreover, students make inferences and justify conclusions based on sampling, experiments and observational studies. The standards in this Algebra II course cover the following conceptual categories: Modeling, Functions, Number and Quantity, Algebra, and Statistics and Probability. The standards are developed to help educators implement mathematical practices of reasoning abstractly/ quantitatively, constructing viable arguments, modeling with mathematics, analyzing the structure of algebraic problems and persevering in solving them.

 

This course content provides the rich instructional experiences for students and helps them to succeed beyond the high school and compete in the 21st century job market.