High School Math ClassesEssentials for Algebra
Topics for this first-year algebra course include writing and solving linear and quadratic equations, and understanding the relationships between equations, graphs, and solutions to the equations. After successfully completing this course, students will be prepared to take Geometry the following year.
Algebra I is a course that uses a variety of representations (concrete, numerical, algorithmic, and graphical) to develop the comprehensive understanding of linear and quadratic functions including systems of equations, inequalities, polynomials, and rational and radical expressions. Students understand the relationships between equations, graphs, and solutions to the equations. Students solve problems by employing algebraic techniques factoring and applying quadratic formula, and they extend their mathematical reasoning by justifying steps in an algebraic procedure and checking algebraic arguments for validity. PREREQUISITE: Successful completion of Essentials for Algebra.
The main purpose of Geometry is to develop geometric skills and concepts and to apply these in constructing formal logical arguments and proofs. Logical arguments are rooted in explaining the why and how of geometric vocabulary, definitions, and theorems. Varieties of representations are used (concrete, pictorial, algebraic, and coordinate). Students participate in activities and investigations that lead to geometric discoveries in order to experience the inductive and deductive reasoning processes. Although weighted in favor of plane Euclidean geometry, there is room for placing special emphasis on coordinate geometry and its transformations. Topics of study include patterns, geometric constructions, properties of lines, angles, polygons, triangles, circles, and polyhedrons, congruence and similarity, the Pythagorean Theorem, and trigonometry of right triangles. Technology programs are integrated throughout the course. PREREQUISITE: Grade of C or better in Algebra 1.
Most topics of study in Honors Geometry are the same as described in Geometry P. The Honors Geometry course assumes a higher level of understanding of mathematical concepts and moves at a faster pace than Geometry P. Coursework is more in-depth and there is an emphasis on applying algebraic expressions to geometry problems. PREREQUISITE: Grade of A in either Algebra 1 or Algebra 8, qualifying score on the readiness test, and teacher recommendation.
Algebra II expands on the mathematical content of Algebra I and Geometry. A variety of representations (concrete, numerical, algorithmic, graphical) are used to expand the relationship between algebra and geometry and the understanding of functions linear, quadratic, exponential and logarithmic. Higher-level thinking is required to analyze, interpret, and solve problems. Many new concepts and techniques are introduced that will be basic to more advanced courses in mathematics and the sciences and useful in the workplace: complex numbers, logarithmic functions, sequences and series, probability, conics, and basic trigonometry functions. Graphing calculators are required. PREREQUISITE: Grade of C or better in Geometry and Algebra 1.
In one year, students will complete the course material as described in the Intermediate Algebra course and then will cover the topics described in the Trigonometry course. PREREQUISITE: Grade of A in Geometry or B or better in Honors Geometry with teacher recommendation.
Students study circular and trigonometric functions and their behavior and meaning. PREREQUISITE: Grade of C or better in Intermediate Algebra.
Students study polynomials, exponential and logarithmic functions, and their applications. In addition, students study conic sections, complex numbers, and matrices. PREREQUISITE: Grade of C or better in Intermediate Algebra.
Students will complete the course material as described in the Pre-Calculus course. The honors course assumes a higher level of understanding of mathematical concepts and moves at a faster pace. PREREQUISITE: Grade of B or better in Intermediate Algebra HP.
Calculus A HP
Students will study limits, continuity, derivatives and applications. After successfully completing this course, students will have the option of taking AP Calculus AB or AP Calculus BC. PREREQUISITE: Grade of B or better in Pre- Calculus HP highly recommended.
AP Calculus AB
This course is designed to prepare students for the Advanced Placement Examination in Calculus AB and covers the curriculum typical of a college level Calculus course (first semester). Students explore all types of functions and their graphs and learn how to evaluate limits. Students then make a connection between limits and the definition of the derivative, and go on to spend the majority of the course time focusing on techniques and applications of derivatives and integrals. A graphing calculator is required for the course, and students are encouraged to purchase their own textbook and solutions manual. PREREQUISITE: Grade of B or better in Trigonometry/Pre-Calculus.
AP Calculus BC
This course is designed to prepare students for the Advanced Placement Examination in Calculus BC and covers the curriculum typical of two semesters of college level Calculus. This course includes a more extensive and in-depth coverage of all topics described in Calculus AB, plus additional topics including sequences and series, vectors, improper integrals, and indeterminate forms. PREREQUISITE: Grade of B or better in Calculus AB or Calculus A.
This course includes an introduction to statistics and probability. It covers descriptions of sample data, methods of analyzing data, sampling, normal distribution, hypothesis testing, and rules of probability. The graphing calculator is used intensively. PREREQUISITE: Grade C or better in Algebra II
Multi-Variable Calculus corresponds to the university level calculus course that follows the courses in Calculus of a Single Variable. This course is designed for high school students who have successfully completed Advanced Placement Calculus BC. The content of the course consists of the differential and integral calculus of several variables as well as the calculus of vector-valued functions. A graphing calculator is required and is used to enhance the teaching and learning of calculus.PREREQUISITE: Grade C or better in Calculus BC