PBHS COURSE CATALOG 2024

applications. It begins with the circular function approach and leads to the trigonometric functions through very thorough exercises with identities and graphing. The solution of all triangles is emphasized as the heart of the course. A comprehensive study of vectors is included. Trigonometry is then used to help students understand complex numbers. The second semester is a continued study from trigonometry. The study involves special relationships not covered in depth in Algebra II, including matrices, series, and logarithms. Precalculus concepts are studied with the student learning some differentiation and integration. This course, designed for college-bound students, is a comprehensive study of the algebraic and trigonometric principles which the student will need to pursue a professional career. It promotes higher order thinking and offers intensive practice in problem solving.

PRE-CALCULUS (11 th , 12 th Grades) (1 Credit) Prerequisite: Algebra II and Geometry, Algebra I

433000

Pre-calculus will emphasize a study of trigonometric functions and identities as well as applications of right triangle trigonometry and circular functions. Students will use symbolic reasoning and analytical methods to represent mathematical situations, express generalizations, and study mathematical concepts and the relationships among them. Students will use functions and equations as tools for expressing generalizations.

432000

ALGEBRA II (10-12th Grades) (1 Credit) Prerequisite: Algebra I or (Equivalent: First and Second Parts Algebra I)

Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, and radical functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using the properties of logarithms. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. ALGEBRA III, (11 th & 12 th ) (1 Unit) Course Pre-requisites: Students taking the class should have successfully completed Algebra I, Geometry, and Algebra II. Algebra III will enhance the higher level thinking skills developed in Algebra II through a more in-depth study of those concepts and exploration of some pre-calculus concepts. Students in Algebra III will be challenged to increase understanding of algebraic, graphical, and numerical methods to analyze, translate and solve polynomial, rational exponential, and logarithmic functions. Modeling real world situations is an important part of this course. Sequences and series will be used to represent and analyze real work problems and mathematical situations. It will also include a study of matrices and conics. GEOMETRY (10-12th Grades) (1 Unit) Prerequisite: Algebra I (or Equivalent: First and Second Parts Algebra I) The fundamental purpose of the course in Geometry is to formalize and extend students geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Important differences exist between this

439070

431000

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