Course Overview

Honors Precalculus A is the first course in a two-part sequence designed for students pursuing advanced mathematics at an accelerated pace. This course builds upon prior knowledge of algebra and functions, guiding students through an in-depth exploration of higher-level concepts that serve as a foundation for calculus and advanced STEM studies.

Key Learning Focus

Students will:

• Review and extend algebraic fundamentals as a basis for advanced study.
• Explore and analyze a wide range of functions, including polynomial, rational, radical, exponential, logarithmic, and piecewise functions.
• Investigate quadratics through conic sections, applying both algebraic and geometric reasoning.
• Study sequences and series, including applications in real-world and mathematical contexts.

Instructional Approach

Instruction emphasizes both conceptual understanding and procedural fluency, with a balance of theory, application, and critical thinking. A semester-long engineering project challenges students to apply mathematics in a real-world setting, requiring sustained problem-solving and creativity. Students devote time throughout the course to developing this project, culminating in a final submission prior to the semester review.

Honors-Level Enrichment

As an honors course, Precalculus A engages students at a faster pace and greater depth, encouraging independent inquiry, collaborative learning, and the application of abstract concepts to authentic scenarios.

Outcome

By the end of Honors Precalculus A, students will have mastered advanced function analysis, conic sections, and sequences, while strengthening reasoning and problem-solving skills. This course prepares learners for Honors Precalculus B and ultimately for success in AP Calculus, AP Statistics, and college-level mathematics, equipping them with the skills to excel in STEM-related fields.