AP Calculus Curriculum
Advanced Mathematics and Calculus for College Success
Our AP Calculus curriculum prepares students for the challenging AP Calculus AB and BC exams while building a strong foundation for college mathematics and STEM fields.
Program Overview
AP Calculus represents the pinnacle of high school mathematics, introducing students to the fundamental concepts of calculus that form the basis for advanced mathematics, physics, engineering, and many other STEM fields. Our program covers both AP Calculus AB and BC content.
Through rigorous problem-solving, mathematical modeling, and real-world applications, students develop the analytical thinking and computational skills needed for success in calculus and beyond.
Duration
32 weeks (full academic year)
Class Size
Maximum 6 students
Grade Level
Grades 11-12
Prerequisites
Pre-Calculus required
Learning Objectives
By the end of this program, students will be able to demonstrate proficiency in calculus concepts and be well-prepared for the AP exam and college mathematics.
Understand limits and continuity as foundations of calculus
Master differentiation rules and applications
Apply derivatives to optimization and related rates problems
Understand integration and the Fundamental Theorem of Calculus
Apply integration to area, volume, and accumulation problems
Solve differential equations and growth models
Work with series and sequences (BC content)
Analyze parametric and polar equations (BC content)
Develop mathematical modeling and problem-solving skills
Prepare for AP Calculus AB and BC exams
Curriculum Units
The curriculum is organized into focused units that build calculus understanding and prepare for the AP exam.
Assessment and Progress Tracking
We use comprehensive assessments to ensure students are mastering calculus concepts and are prepared for the AP exam.
Weekly Quizzes
Regular assessments of current topics and calculus concepts.
Unit Tests
Comprehensive assessments of each unit's calculus methods.
Practice AP Exams
Full-length practice exams with AP-style questions and scoring.
Teaching Methodology
Our instruction combines rigorous calculus content with interactive learning, technology integration, and real-world applications. Students develop both conceptual understanding and computational skills.
Key Instructional Strategies:
- Interactive problem-solving and mathematical modeling
- Technology-enhanced graphing and analysis
- Real-world applications and engineering problems
- Differentiated instruction for various skill levels
- Regular practice with AP-style questions
Success Metrics
Our AP Calculus program has a proven track record of preparing students for the AP exam and college-level mathematics.
AP Calculus exam pass rate
Score 4 or 5 on AP exam
Report increased math confidence
Earn college credit or placement
Ready to Excel in AP Calculus?
Join our AP Calculus program and develop the essential skills needed for college-level mathematics and STEM fields. Contact us today to schedule a free assessment and learn more about our curriculum.