Topics include but are not limited to: • Vector analysis, including the study of dot products and cross products of vectors, space coordinates, vectors in space and vector valued functions • A review of lines and planes in space, surfaces of revolution and cylindrical and spherical coordinates with a study of velocity and acceleration, tangent…

Students who are enrolled in Calculus BC are expected to work with functions represented in multiple ways: graphical, numerical, analytical, or verbal. The use of technology to solve problems, experiment, interpret results, and support conclusions will play an integral role in the learning experience. Students will gain an appreciation of calculus as a coherent body…

This one-semester course is an option for any high school senior who has taken the Advanced Placement Calculus BC exam and/or a course in multivariable calculus. “Ordinary” means that the functions we are studying are functions of one variable, usually. Topics include slope fields; separable, linear, exact, Bernoulli, and homogeneous first-order equations; homogeneous second-order linear…

This is the third mathematics course following the Algebra I and Honors Geometry sequence. Students are expected not only to master algebraic mechanics but also to understand the underlying theory and to apply the concepts to real-world situations in a meaningful way. Numerical, graphical, and algebraic solutions are considered for all problems, as applicable. Graphing…

Students extend their learning from Geometry and Algebra II / Trigonometry to prepare themselves for topics in Calculus. Pre-Calculus uses the language of mathematics to express ideas precisely through reasoning, representations, and communication. • Students investigate and identify the characteristics of trigonometric functions, polynomial functions and rational functions in order to graph these functions and…

Students extend their learning from Geometry and Algebra II / Trigonometry to prepare themselves for topics in Calculus. Pre-Calculus uses the language of mathematics to express ideas precisely through reasoning, representations, and communication. • Students investigate and identify the characteristics of trigonometric functions, polynomial functions and rational functions in order to graph these functions and…

Prerequisite: Successful completion of Algebra 2/Trig Honors or Accelerated Algebra 2/Trig, with recommendation of the Mathematics Department. Pre-Calculus Honors is a rigorous, fast-paced course designed for students who have demonstrated strong mathematical ability and are prepared for an advanced level of study. The course begins with an in-depth exploration of pre-calculus topics and transitions into…

This course covers functions, graphs, concepts and skills of limits, differentials, definite and indefinite integrals, and the Fundamental Theorem of Calculus. The course teaches students to approach calculus concepts and problems when they are represented graphically, numerically, analytically, and verbally, and to make connections among these representations. Students learn how to use technology to help…

This course is a continuation of the material covered in Honors Pre-Calculus in the 11th grade. The mathematics learned can be found in the study of physics, chemistry, and engineering. Topics include: • Curve sketching of functions and their derivatives, which include the slope of the tangent line and point(s) of inflection • Applications of…

Calculus is the “mathematics of change” and therefore has applications to all fields of endeavor, including the natural sciences, social sciences, economics, and business. This course is roughly the equivalent of a first semester college calculus course to help students understand and apply the big ideas of calculus. Prior to entry into the course students…

This course is designed to give students a solid understanding of the fundamentals of algebraic problem solving by learning to read mathematical problems critically and to present solutions effectively. The course will also help students understand and appreciate how mathematics can be used outside the classroom and in real-world situations. Students in this course will…

This course focuses on the study of angles, the trigonometric functions and their inverses including their graphs. The study of inverses will allow students to be able to solve calculator problems. Lessons are designed using a best practice model that includes scaffolding, vocabulary, prior knowledge, guided practice, independent practice, and written response opportunities for students…

This is the first mathematics course in the high school mathematics sequence. It serves as the foundation for the rest of high school and college mathematics by introducing basic concepts and problem-solving strategies that are common to all branches of mathematics and disciplines. Students taking this course will demonstrate the ability to construct valid, complete,…

This one-semester course is an option for any high school senior who has successfully completed a second-year course in Algebra.In this course students will begin to develop the skills and strategies that promote financial responsibility. • Real-world topics covered will include personal financial planning, banking, the wise use of credit, credit scores, savings and investments,…

This course focuses on the theorems of Euclid, with an emphasis on the understanding of the concepts and properties of theorems and an application to numerical and problem-solving situations. This course utilizes technology such as Geogebra and Desmos to explore and discover geometric phenomena. Topics include: • The study of triangle properties • The three…

This one-semester course is an option for any high school senior who has successfully completed a second-year course in algebra. It deals with the statistical methodology used in research, data analysis, and the theoretical basis for these statistical techniques, probability distributions, hypothesis testing, and linear regression. It is divided into four major themes: exploratory analysis,…

This is the second mathematics course in the high school sequence. In this course, students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways that their conclusion follows logically from their hypothesis. Geometry is meant to lead students to an understanding that reasoning and proof are fundamental…

This is the second mathematics course in the high school sequence. In this course, students will have the opportunity to make conjectures about geometric situations and prove in a variety of ways that their conclusion follows logically from their hypothesis. Geometry is meant to lead students to an understanding that reasoning and proof are fundamental…

This course will build on algebraic and geometric skills from previous courses. Students are expected to grasp concepts without need for repetition and to be self-motivated, organized, mathematically exceptional, and possess high retention. This is a highly rigorous course for students who have demonstrated exceptional drive and ability to learn mathematics. This course utilizes technology…

Students will learn about relations, functions, equations and inequalities, algebraic fractions, polynomial operations, absolute value, rational and irrational expressions, logarithmic and exponential functions, arithmetic and geometric sequences and series. Throughout the course students will develop learning strategies, critical thinking skills, and problem-solving techniques that can be used to model and solve real-world problems. Graphing calculator…

This is the third mathematics course of the Algebra I and Geometry sequence. The course further develops the algebraic skills developed in the students’ previous algebra coursework and re-examines topics from Algebra I with an added level of depth and sophistication. Graphing calculators are integral to the course. Topics include: • Complex numbers • Polynomial,…

This is the third mathematics course of the Algebra I and Geometry sequence. The course further develops the algebraic skills developed in the students’ previous algebra coursework and re-examines topics from Algebra I with an added level of depth and sophistication. Graphing calculators are integral to the course. Topics include: • Complex numbers • Polynomial,…