Course Overview

Honors Precalculus B is the second course in the Honors Precalculus sequence, designed to extend students' mastery of advanced mathematics and prepare them for the study of calculus. This course builds on the foundation from Honors Precalculus A and challenges students to apply abstract reasoning and analytical skills to more complex topics in trigonometry, vectors, parametric equations, and introductory calculus.

Key Learning Focus

Students will:

• Deepen their understanding of trigonometric functions, graphs, and identities.
• Explore polar coordinates and equations, applying multiple representations of functions.
• Analyze and apply vectors and parametric equations in real-world and theoretical contexts.
• Develop an introduction to calculus concepts, including limits and derivatives, as preparation for advanced study.

Instructional Approach

Through conceptual exploration, problem-solving, and project-based learning, students engage with mathematics both abstractly and in authentic applications. A semester-long engineering project challenges students to integrate concepts across units, reinforcing connections between mathematics and real-world problem-solving.

Honors-Level Enrichment

With an accelerated pace and greater rigor, this honors-level course encourages independent inquiry, collaborative problem-solving, and mathematical communication. Students are expected to engage deeply with challenging concepts and apply critical thinking to advanced scenarios.

Outcome

By the conclusion of Honors Precalculus B, students will have a solid foundation in trigonometry, vectors, parametric equations, and introductory calculus concepts. They will be thoroughly prepared for AP Calculus, AP Statistics, and other college-level mathematics courses, as well as future success in STEM disciplines such as engineering, physics, and computer science.