Algebra I provide a formal development of the algebraic skills and concepts necessary for students to succeed in advanced courses. In particular, the instructional program in this course provides for the use of algebraic skills in a wide range of problem-solving situations. The concept of function is emphasized throughout the course.
Geometry follows the Common Core State Standards and formalizes and extends 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. Six critical areas comprise the Geometry course: Congruence, Proof and Constructions, Similarity, Proof and Trigonometry, Extending to Three Dimensions, Circles With and Without Coordinates, and Applications of Probability. 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.
Prerequisite: Algebra I
Building on their work with linear, quadratic, and exponential functions, students in Algebra II extend their repertoire of functions to include polynomial, rational, radical, and trigonometric functions. In this course rational functions are limited to those whose numerators are of degree at most one and denominators of degree at most 2; radical functions are limited to square roots or cube roots of at most quadratic polynomials.
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.
Prerequisite: Algebra I, Geometry
Pre-Calculus is designed to improve the student’s knowledge of linear, exponential, logarithmic, power, polynomial, trigonometric, and rational functions. Students will also study sequences and series, quadratic relations and be presented with an introduction to Calculus. The students will be able to discuss the effects of combining functions and modeling real world phenomena with a variety of functions. This course follows the Common Core State Standards.
Prerequisites: Algebra 1, Algebra 2, and Geometry
Probability and Statistics
Probability and Statistics introduces students to the basic statistical testing. Students learn to organize, display, and analyze data and to explore the elements of probability. The course is enriched through the use of real world problems.