Algebra I

Prerequisite: Introductory or Pre-Algebra

Length: Two semesters

Credits: 1.0

Algebra I builds students’ command of linear, quadratic, and exponential relationships. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations. Course topics include problem-solving with basic equations and formulas; measurement; an introduction to functions and problem solving; linear equations and systems of linear equations; exponents and exponential functions; sequences and functions; descriptive statistics; polynomials and factoring; quadratic equations and functions; and function transformations and inverses. This course is aligned with the Common Core State Standards for Mathematics.

Algebra II

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Prerequisite: Algebra I

Length: Two semesters

Credits: 1.0

Algebra II introduces students to advanced functions, with a focus on developing a strong conceptual grasp of the expressions that define them. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations. Course topics include quadratic equations; polynomial functions; rational expressions and equations; radical expressions and equations; exponential and logarithmic functions; trigonometric identities and functions; modeling with functions; probability and inferential statistics; probability distributions; and sample distributions and confidence intervals. This course is aligned with the Common Core State Standards for Mathematics.

Precalculus

Prerequisites: Successful completion of two years of Algebra and one year of Geometry

Length: Two semesters

Credits: 1.0

Precalculus is a course that combines reviews of algebra, geometry, and functions into a preparatory course for calculus. The course focuses on the mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. The first semester includes linear, quadratic, exponential, logarithmic, radical, polynomial, and rational functions; systems of equations; and conic sections. The second semester covers trigonometric ratios and functions; inverse trigonometric functions; applications of trigonometry, including vectors and laws of cosine and sine; polar functions and notation; and arithmetic of complex numbers.

Calculus

Prerequisites: Algebra II, Geometry, Pre-Calculus with Trigonometry

Length: Two semesters

Credits: 1.0

In Advanced Placement Calculus AB, students learn to understand change geometrically and visually (by studying graphs of curves), analytically (by studying and working with mathematical formulas), numerically (by seeing patterns in sets of numbers), and verbally. Instead of simply getting the right answer, students learn to evaluate the soundness of proposed solutions and to apply mathematical reasoning to real-world models. Calculus helps scientists, engineers, and financial analysts understand the complex relationships behind real world phenomena. The equivalent of an introductory college level calculus course, AP Calculus AB prepares students for the AP exam and for further studies in science, engineering, and mathematics. This course has been authorized by the College Board to use the AP designation.

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