Course Overview

Precalculus B is the second course in the Precalculus sequence, designed to extend students' mastery of advanced mathematical concepts and prepare them for success in Calculus and college-level mathematics. Building on the foundation established in Precalculus A, this course emphasizes trigonometric analysis, polar systems, vectors, and parametric equations, while introducing foundational ideas in calculus.

Key Learning Focus

Students will:

• Expand their understanding of trigonometric functions, identities, and applications.
• Explore polar coordinates and equations as alternative systems for representing functions.
• Study vectors and parametric equations, applying them to model real-world scenarios.
• Develop readiness for Calculus through an introduction to limits and derivatives.
• Strengthen critical thinking and mathematical reasoning while making connections to real-world applications.

Instructional Approach

The course emphasizes active learning and real-world problem solving. Students will:

• Apply trigonometric and polar concepts to practical problems.
• Use vectors and parametric models to analyze motion and systems.
• Investigate introductory calculus concepts through exploratory projects.

This approach fosters not only mathematical fluency but also the ability to apply knowledge across disciplines and career contexts.

Academic Alignment

Precalculus B is part of the 9–12 Mathematics Program and is fully aligned with state and national standards. It is designed as a bridge to Calculus and other advanced courses, ensuring students are prepared for rigorous academic and professional pathways.

Outcome

Upon completion of Precalculus B, students will have a strong command of trigonometry, polar systems, vectors, and introductory calculus concepts. They will be well-prepared for Calculus, Advanced Placement (AP) courses, and future studies in STEM fields, including engineering, computer science, economics, and data science.